Linear equations, inequalities and systems

Practice sheet

Fresh questions from the whole chapter, to do on paper.

New questions Include answers

To save a PDF, choose “Save as PDF” in the print dialog.

Solve $3x + 3 = -18$ . $x = \;?$
Solve $4x + 8 = 3x + 9$ . $x = \;?$
Solve $6(x + 4) = 30$ . $x = \;?$
Solve $7x + 9y = 23$ for $y$ . $y = \;?$
A car moves at 2 miles per minute, so $d = 2t$ . Solve for $t$ . $t = \;?$
Solve $y = 9x + 3$ for $x$ . $x = \;?$
Find the $x$ -intercept of $3x + 6y = 54$ (the value of $x$ where the line crosses the $x$ -axis).
What is the slope of the line $8x + 9y = 17$ ?
The point $(2, y)$ is a solution of $5x + y = 15$ . Find $y$ .
Solve the system $y = 2x + 4$ and $3x + y = 24$ . $x = \;?$
Solve the system $y = 2x + 4$ and $2x + y = 24$ . $y = \;?$
Solve the system $x = 3y$ and $x + y = 24$ . $y = \;?$
Solve the system $x + y = 15$ and $x - y = 3$ . $x = \;?$
Solve the system $3x + 4y = 30$ and $3x + 2y = 18$ . $y = \;?$
To solve $x + 7y = 20$ and $9x + y = 20$ by elimination, you multiply the first equation by a number and subtract the second, so that $x$ disappears. Which number?
How many solutions has the system $y = 5x + 6$ and $y = 5x + 7$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 3x + 9$ and $y = 3x + 11$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 4x + 8$ and $y = 4x + 10$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 7$ and $y = 6x + 12$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 4x + 7$ and $y = 4x + 9$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 5x + 9$ and $y = 5x + 12$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 4x + 2$ and $y = 4x + 4$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 5x + 5$ and $y = 5x + 9$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 3x + 1$ and $y = 3x + 2$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 5x + 2$ and $y = 5x + 3$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 4$ and $y = 6x + 5$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 5x + 7$ and $y = 5x + 11$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 3x + 3$ and $y = 3x + 5$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 3x + 2$ and $y = 3x + 5$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 5x + 4$ and $y = 5x + 6$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 2x + 5$ and $y = 2x + 9$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 5x + 4$ and $y = 5x + 9$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 1$ and $y = 6x + 3$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 2x + 7$ and $y = 2x + 9$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 5x + 3$ and $y = 5x + 4$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 3x + 6$ and $y = 3x + 8$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 4x + 2$ and $y = 4x + 6$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 4x + 7$ and $y = 4x + 8$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 2x + 5$ and $y = 2x + 7$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 3x + 2$ and $y = 3x + 3$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 5x + 5$ and $y = 5x + 6$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 5x + 3$ and $y = 5x + 7$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 5x + 1$ and $y = 5x + 5$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 2$ and $y = 6x + 3$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 3x + 2$ and $y = 3x + 4$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 3x + 3$ and $y = 3x + 6$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 2x + 4$ and $y = 2x + 9$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 4x + 3$ and $y = 4x + 8$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 4x + 8$ and $y = 4x + 12$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 4x + 2$ and $y = 4x + 3$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 2$ and $y = 6x + 6$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 5x + 5$ and $y = 5x + 8$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 3x + 5$ and $y = 3x + 8$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 1$ and $y = 6x + 5$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 4x + 9$ and $y = 4x + 12$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 3x + 7$ and $y = 3x + 9$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 6$ and $y = 6x + 9$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 1$ and $y = 6x + 6$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 4$ and $y = 6x + 6$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 1$ and $y = 6x + 2$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 5$ and $y = 6x + 6$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 3x + 3$ and $y = 3x + 7$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 2x + 6$ and $y = 2x + 7$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 2$ and $y = 6x + 5$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 2x + 6$ and $y = 2x + 8$ ?
1. No solution
2. Exactly one
3. Infinitely many
How many solutions has the system $y = 6x + 4$ and $12x - 2y = -8$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 5x + 4$ and $10x - 2y = -8$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 3x + 7$ and $6x - 2y = -14$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 4x + 1$ and $8x - 2y = -2$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 6x + 7$ and $12x - 2y = -14$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 6x + 3$ and $12x - 2y = -6$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 3x + 4$ and $6x - 2y = -8$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 4x + 4$ and $8x - 2y = -8$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 4x + 6$ and $8x - 2y = -12$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 6x + 8$ and $12x - 2y = -16$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 4x + 3$ and $8x - 2y = -6$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 2x + 9$ and $4x - 2y = -18$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 6x + 9$ and $12x - 2y = -18$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 3x + 6$ and $6x - 2y = -12$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 5x + 7$ and $10x - 2y = -14$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 3x + 3$ and $6x - 2y = -6$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 6x + 5$ and $12x - 2y = -10$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 5x + 2$ and $10x - 2y = -4$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 3x + 2$ and $6x - 2y = -4$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 5x + 5$ and $10x - 2y = -10$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 6x + 1$ and $12x - 2y = -2$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 4x + 8$ and $8x - 2y = -16$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 2x + 2$ and $4x - 2y = -4$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 3x + 1$ and $6x - 2y = -2$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 5x + 3$ and $10x - 2y = -6$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 5x + 6$ and $10x - 2y = -12$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 4x + 2$ and $8x - 2y = -4$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 4x + 5$ and $8x - 2y = -10$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 5x + 9$ and $10x - 2y = -18$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 4x + 7$ and $8x - 2y = -14$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 2x + 1$ and $4x - 2y = -2$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 2x + 3$ and $4x - 2y = -6$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 3x + 8$ and $6x - 2y = -16$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 5x + 1$ and $10x - 2y = -2$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 2x + 6$ and $4x - 2y = -12$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 2x + 8$ and $4x - 2y = -16$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 3x + 9$ and $6x - 2y = -18$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 2x + 4$ and $4x - 2y = -8$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 6x + 2$ and $12x - 2y = -4$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 2x + 5$ and $4x - 2y = -10$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 5x + 8$ and $10x - 2y = -16$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 4x + 9$ and $8x - 2y = -18$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 3x + 5$ and $6x - 2y = -10$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 2x + 7$ and $4x - 2y = -14$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 6x + 6$ and $12x - 2y = -12$ ?
1. Infinitely many
2. No solution
3. Exactly one
How many solutions has the system $y = 3x + 2$ and $y = -3x + 9$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 9$ and $y = -3x + 8$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 6$ and $y = -4x + 5$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 2$ and $y = -4x + 5$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 6x + 9$ and $y = -6x + 7$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 1$ and $y = -4x + 9$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 7$ and $y = -3x + 6$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 2x + 3$ and $y = -2x + 2$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 6x + 2$ and $y = -6x + 7$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 5x + 9$ and $y = -5x + 6$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 7$ and $y = -3x + 3$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 2x + 2$ and $y = -2x + 6$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 2x + 3$ and $y = -2x + 7$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 2x + 1$ and $y = -2x + 8$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 2$ and $y = -4x + 6$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 5x + 9$ and $y = -5x + 4$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 1$ and $y = -4x + 6$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 6$ and $y = -4x + 8$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 5x + 3$ and $y = -5x + 4$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 4$ and $y = -3x + 3$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 7$ and $y = -4x + 7$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 6x + 2$ and $y = -6x + 3$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 5x + 5$ and $y = -5x + 4$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 6x + 8$ and $y = -6x + 5$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 6$ and $y = -3x + 8$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 2x + 9$ and $y = -2x + 4$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 5x + 6$ and $y = -5x + 7$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 5$ and $y = -3x + 3$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 6x + 2$ and $y = -6x + 8$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 7$ and $y = -4x + 2$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 7$ and $y = -4x + 6$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 6$ and $y = -3x + 5$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 2$ and $y = -3x + 4$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 4$ and $y = -4x + 7$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 6x + 7$ and $y = -6x + 1$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 2x + 5$ and $y = -2x + 6$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 4$ and $y = -3x + 9$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 3$ and $y = -3x + 9$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 5x + 5$ and $y = -5x + 7$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 6x + 5$ and $y = -6x + 9$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 8$ and $y = -3x + 1$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 9$ and $y = -4x + 4$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 4x + 8$ and $y = -4x + 7$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 5x + 8$ and $y = -5x + 5$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 2x + 1$ and $y = -2x + 6$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 2x + 5$ and $y = -2x + 7$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 5x + 8$ and $y = -5x + 4$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 5x + 3$ and $y = -5x + 6$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 3$ and $y = -3x + 7$ ?
1. Exactly one
2. No solution
3. Infinitely many
How many solutions has the system $y = 3x + 8$ and $y = -3x + 5$ ?
1. Exactly one
2. No solution
3. Infinitely many
Solve $8x + 5 < 45$ . Give the solution set as an interval.
Solve $-2x + 17 \le 9$ . Give the solution set as an interval.
You have 109 dollars and tickets cost 9 dollars each. Solve $9t \le 109$ : what is the greatest number of tickets you can buy?
Solve $|x - (4)| = 4$ . Enter all solutions.
Solve $|x - (4)| < 4$ . Give the solution set as an interval.
Solve $|x - (2)| \geq 2$ . Give the solution set as an interval or a union of intervals.
How many solutions does the equation |x + 9| = −7 have?
1. None
2. Two
3. One: x = -2
How many solutions does the equation |x + 5| = −2 have?
1. None
2. Two
3. One: x = -3
How many solutions does the equation |x + 5| = −9 have?
1. None
2. Two
3. One: x = 4
How many solutions does the equation |x + 2| = −5 have?
1. None
2. Two
3. One: x = 3
How many solutions does the equation |x + 7| = −1 have?
1. None
2. Two
3. One: x = -6
How many solutions does the equation |x + 6| = −7 have?
1. None
2. Two
3. One: x = 1
How many solutions does the equation |x + 5| = −5 have?
1. None
2. Two
3. One: x = 0
How many solutions does the equation |x + 9| = −6 have?
1. None
2. Two
3. One: x = -3
How many solutions does the equation |x + 3| = −2 have?
1. None
2. Two
3. One: x = -1
How many solutions does the equation |x + 1| = −5 have?
1. None
2. Two
3. One: x = 4
How many solutions does the equation |x + 2| = −6 have?
1. None
2. Two
3. One: x = 4
How many solutions does the equation |x + 3| = −3 have?
1. None
2. Two
3. One: x = 0
How many solutions does the equation |x + 3| = −4 have?
1. None
2. Two
3. One: x = 1
How many solutions does the equation |x + 6| = −3 have?
1. None
2. Two
3. One: x = -3
How many solutions does the equation |x + 8| = −8 have?
1. None
2. Two
3. One: x = 0
How many solutions does the equation |x + 4| = −3 have?
1. None
2. Two
3. One: x = -1
How many solutions does the equation |x + 1| = −6 have?
1. None
2. Two
3. One: x = 5
How many solutions does the equation |x + 8| = −6 have?
1. None
2. Two
3. One: x = -2
How many solutions does the equation |x + 1| = −3 have?
1. None
2. Two
3. One: x = 2
How many solutions does the equation |x + 4| = −5 have?
1. None
2. Two
3. One: x = 1
How many solutions does the equation |x + 3| = −7 have?
1. None
2. Two
3. One: x = 4
How many solutions does the equation |x + 4| = −8 have?
1. None
2. Two
3. One: x = 4
How many solutions does the equation |x + 5| = −1 have?
1. None
2. Two
3. One: x = -4
How many solutions does the equation |x + 5| = −6 have?
1. None
2. Two
3. One: x = 1
How many solutions does the equation |x + 7| = −3 have?
1. None
2. Two
3. One: x = -4
How many solutions does the equation |x + 6| = −4 have?
1. None
2. Two
3. One: x = -2
How many solutions does the equation |x + 9| = −4 have?
1. None
2. Two
3. One: x = -5
How many solutions does the equation |x + 8| = −1 have?
1. None
2. Two
3. One: x = -7
How many solutions does the equation |x + 6| = −2 have?
1. None
2. Two
3. One: x = -4
How many solutions does the equation |x + 9| = −1 have?
1. None
2. Two
3. One: x = -8
How many solutions does the equation |x + 3| = −5 have?
1. None
2. Two
3. One: x = 2
How many solutions does the equation |x + 8| = −9 have?
1. None
2. Two
3. One: x = 1
How many solutions does the equation |x + 6| = −8 have?
1. None
2. Two
3. One: x = 2
How many solutions does the equation |x + 8| = −7 have?
1. None
2. Two
3. One: x = -1
How many solutions does the equation |x + 2| = −4 have?
1. None
2. Two
3. One: x = 2
How many solutions does the equation |x + 6| = −6 have?
1. None
2. Two
3. One: x = 0
How many solutions does the equation |x + 2| = −7 have?
1. None
2. Two
3. One: x = 5
How many solutions does the equation |x + 3| = −1 have?
1. None
2. Two
3. One: x = -2
How many solutions does the equation |x + 3| = −8 have?
1. None
2. Two
3. One: x = 5
How many solutions does the equation |x + 7| = −2 have?
1. None
2. Two
3. One: x = -5
How many solutions does the equation |x + 8| = −3 have?
1. None
2. Two
3. One: x = -5
How many solutions does the equation |x + 4| = −6 have?
1. None
2. Two
3. One: x = 2
How many solutions does the equation |x + 2| = −8 have?
1. None
2. Two
3. One: x = 6
How many solutions does the equation |x + 4| = −7 have?
1. None
2. Two
3. One: x = 3
How many solutions does the equation |x + 1| = −2 have?
1. None
2. Two
3. One: x = 1
How many solutions does the equation |x + 5| = −4 have?
1. None
2. Two
3. One: x = -1
How many solutions does the equation |x + 7| = −8 have?
1. None
2. Two
3. One: x = 1
How many solutions does the equation |x + 1| = −9 have?
1. None
2. Two
3. One: x = 8
How many solutions does the equation |x + 9| = −5 have?
1. None
2. Two
3. One: x = -4
How many solutions does the equation |x + 5| = −7 have?
1. None
2. Two
3. One: x = 2
Which point is a solution of $y > 3x + 3$ ?
1. $(0, 4)$
2. $(0, 3)$
3. $(0, 2)$
Which point is a solution of $y > 5x + 7$ ?
1. $(0, 8)$
2. $(0, 7)$
3. $(0, 6)$
Which point is a solution of $y > 3x + 8$ ?
1. $(0, 9)$
2. $(0, 8)$
3. $(0, 7)$
Which point is a solution of $y > 4x + 6$ ?
1. $(0, 7)$
2. $(0, 6)$
3. $(0, 5)$
Which point is a solution of $y > 3x + 2$ ?
1. $(0, 3)$
2. $(0, 2)$
3. $(0, 1)$
Which point is a solution of $y > 6x + 8$ ?
1. $(0, 9)$
2. $(0, 8)$
3. $(0, 7)$
Which point is a solution of $y > 3x + 5$ ?
1. $(0, 6)$
2. $(0, 5)$
3. $(0, 4)$
Which point is a solution of $y > 5x + 3$ ?
1. $(0, 4)$
2. $(0, 3)$
3. $(0, 2)$
Which point is a solution of $y > 2x + 7$ ?
1. $(0, 8)$
2. $(0, 7)$
3. $(0, 6)$
Which point is a solution of $y > 3x + 7$ ?
1. $(0, 8)$
2. $(0, 7)$
3. $(0, 6)$
Which point is a solution of $y > 3x + 4$ ?
1. $(0, 5)$
2. $(0, 4)$
3. $(0, 3)$
Which point is a solution of $y > 5x + 9$ ?
1. $(0, 10)$
2. $(0, 9)$
3. $(0, 8)$
Which point is a solution of $y > 3x + 9$ ?
1. $(0, 10)$
2. $(0, 9)$
3. $(0, 8)$
Which point is a solution of $y > 2x + 9$ ?
1. $(0, 10)$
2. $(0, 9)$
3. $(0, 8)$
Which point is a solution of $y > 3x + 1$ ?
1. $(0, 2)$
2. $(0, 1)$
3. $(0, 0)$
Which point is a solution of $y > 5x + 6$ ?
1. $(0, 7)$
2. $(0, 6)$
3. $(0, 5)$
Which point is a solution of $y > 4x + 4$ ?
1. $(0, 5)$
2. $(0, 4)$
3. $(0, 3)$
Which point is a solution of $y > 4x + 2$ ?
1. $(0, 3)$
2. $(0, 2)$
3. $(0, 1)$
Which point is a solution of $y > 5x + 8$ ?
1. $(0, 9)$
2. $(0, 8)$
3. $(0, 7)$
Which point is a solution of $y > 2x + 4$ ?
1. $(0, 5)$
2. $(0, 4)$
3. $(0, 3)$
Which point is a solution of $y > 6x + 6$ ?
1. $(0, 7)$
2. $(0, 6)$
3. $(0, 5)$
Which point is a solution of $y > 5x + 2$ ?
1. $(0, 3)$
2. $(0, 2)$
3. $(0, 1)$
Which point is a solution of $y > 5x + 4$ ?
1. $(0, 5)$
2. $(0, 4)$
3. $(0, 3)$
Which point is a solution of $y > 4x + 3$ ?
1. $(0, 4)$
2. $(0, 3)$
3. $(0, 2)$
Which point is a solution of $y > 6x + 1$ ?
1. $(0, 2)$
2. $(0, 1)$
3. $(0, 0)$
Which point is a solution of $y > 6x + 9$ ?
1. $(0, 10)$
2. $(0, 9)$
3. $(0, 8)$
Which point is a solution of $y > 4x + 7$ ?
1. $(0, 8)$
2. $(0, 7)$
3. $(0, 6)$
Which point is a solution of $y > 2x + 1$ ?
1. $(0, 2)$
2. $(0, 1)$
3. $(0, 0)$
Which point is a solution of $y > 6x + 2$ ?
1. $(0, 3)$
2. $(0, 2)$
3. $(0, 1)$
Which point is a solution of $y > 2x + 3$ ?
1. $(0, 4)$
2. $(0, 3)$
3. $(0, 2)$
Which point is a solution of $y > 4x + 5$ ?
1. $(0, 6)$
2. $(0, 5)$
3. $(0, 4)$
Which point is a solution of $y > 6x + 7$ ?
1. $(0, 8)$
2. $(0, 7)$
3. $(0, 6)$
Which point is a solution of $y > 6x + 5$ ?
1. $(0, 6)$
2. $(0, 5)$
3. $(0, 4)$
Which point is a solution of $y > 6x + 3$ ?
1. $(0, 4)$
2. $(0, 3)$
3. $(0, 2)$
Which point is a solution of $y > 5x + 5$ ?
1. $(0, 6)$
2. $(0, 5)$
3. $(0, 4)$
Which point is a solution of $y > 2x + 5$ ?
1. $(0, 6)$
2. $(0, 5)$
3. $(0, 4)$
Which point is a solution of $y > 2x + 2$ ?
1. $(0, 3)$
2. $(0, 2)$
3. $(0, 1)$
Which point is a solution of $y > 3x + 6$ ?
1. $(0, 7)$
2. $(0, 6)$
3. $(0, 5)$
Which point is a solution of $y > 4x + 8$ ?
1. $(0, 9)$
2. $(0, 8)$
3. $(0, 7)$
Which point is a solution of $y > 2x + 8$ ?
1. $(0, 9)$
2. $(0, 8)$
3. $(0, 7)$
Which point is a solution of $y > 6x + 4$ ?
1. $(0, 5)$
2. $(0, 4)$
3. $(0, 3)$
Which point is a solution of $y > 5x + 1$ ?
1. $(0, 2)$
2. $(0, 1)$
3. $(0, 0)$
Which point is a solution of $y > 4x + 9$ ?
1. $(0, 10)$
2. $(0, 9)$
3. $(0, 8)$
Which point is a solution of $y > 2x + 6$ ?
1. $(0, 7)$
2. $(0, 6)$
3. $(0, 5)$
Which point is a solution of $y > 4x + 1$ ?
1. $(0, 2)$
2. $(0, 1)$
3. $(0, 0)$
How do you graph $y \le 6x + 2$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 4x + 5$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 5x + 5$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 3x + 1$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 3x + 6$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 4x + 4$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 3x + 2$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 6x + 7$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 3x + 5$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 5x + 7$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 2x + 5$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 2x + 8$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 5x + 4$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 3x + 8$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 5x + 6$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 6x + 1$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 6x + 4$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 3x + 7$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 5x + 8$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 5x + 2$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 4x + 1$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 6x + 3$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 4x + 7$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 2x + 6$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 5x + 1$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 4x + 6$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 3x + 9$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 6x + 5$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 2x + 4$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 4x + 2$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 3x + 3$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 2x + 3$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 2x + 7$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 5x + 3$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 2x + 2$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 2x + 9$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 4x + 9$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 6x + 9$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 6x + 6$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 4x + 8$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 3x + 4$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 2x + 1$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 6x + 8$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 5x + 9$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
How do you graph $y \le 4x + 3$ ?
1. Solid line, shade below
2. Dashed line, shade below
3. Solid line, shade above
Adult tickets cost 15 dollars and child tickets 5 dollars. A group can spend at most 168 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $15x + 5y \le 168$
2. $15x + 5y \ge 168$
3. $15x + 5y < 168$
Adult tickets cost 9 dollars and child tickets 3 dollars. A group can spend at most 126 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $9x + 3y \le 126$
2. $9x + 3y \ge 126$
3. $9x + 3y < 126$
Adult tickets cost 13 dollars and child tickets 4 dollars. A group can spend at most 115 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $13x + 4y \le 115$
2. $13x + 4y \ge 115$
3. $13x + 4y < 115$
Adult tickets cost 9 dollars and child tickets 7 dollars. A group can spend at most 141 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $9x + 7y \le 141$
2. $9x + 7y \ge 141$
3. $9x + 7y < 141$
Adult tickets cost 13 dollars and child tickets 7 dollars. A group can spend at most 124 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $13x + 7y \le 124$
2. $13x + 7y \ge 124$
3. $13x + 7y < 124$
Adult tickets cost 12 dollars and child tickets 7 dollars. A group can spend at most 101 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $12x + 7y \le 101$
2. $12x + 7y \ge 101$
3. $12x + 7y < 101$
Adult tickets cost 11 dollars and child tickets 5 dollars. A group can spend at most 101 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $11x + 5y \le 101$
2. $11x + 5y \ge 101$
3. $11x + 5y < 101$
Adult tickets cost 13 dollars and child tickets 4 dollars. A group can spend at most 183 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $13x + 4y \le 183$
2. $13x + 4y \ge 183$
3. $13x + 4y < 183$
Adult tickets cost 8 dollars and child tickets 3 dollars. A group can spend at most 145 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $8x + 3y \le 145$
2. $8x + 3y \ge 145$
3. $8x + 3y < 145$
Adult tickets cost 12 dollars and child tickets 7 dollars. A group can spend at most 157 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $12x + 7y \le 157$
2. $12x + 7y \ge 157$
3. $12x + 7y < 157$
Adult tickets cost 12 dollars and child tickets 6 dollars. A group can spend at most 111 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $12x + 6y \le 111$
2. $12x + 6y \ge 111$
3. $12x + 6y < 111$
Adult tickets cost 11 dollars and child tickets 3 dollars. A group can spend at most 199 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $11x + 3y \le 199$
2. $11x + 3y \ge 199$
3. $11x + 3y < 199$
Adult tickets cost 8 dollars and child tickets 4 dollars. A group can spend at most 128 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $8x + 4y \le 128$
2. $8x + 4y \ge 128$
3. $8x + 4y < 128$
Adult tickets cost 10 dollars and child tickets 5 dollars. A group can spend at most 155 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $10x + 5y \le 155$
2. $10x + 5y \ge 155$
3. $10x + 5y < 155$
Adult tickets cost 11 dollars and child tickets 5 dollars. A group can spend at most 170 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $11x + 5y \le 170$
2. $11x + 5y \ge 170$
3. $11x + 5y < 170$
Adult tickets cost 11 dollars and child tickets 4 dollars. A group can spend at most 116 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $11x + 4y \le 116$
2. $11x + 4y \ge 116$
3. $11x + 4y < 116$
Adult tickets cost 9 dollars and child tickets 7 dollars. A group can spend at most 113 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $9x + 7y \le 113$
2. $9x + 7y \ge 113$
3. $9x + 7y < 113$
Adult tickets cost 8 dollars and child tickets 3 dollars. A group can spend at most 130 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $8x + 3y \le 130$
2. $8x + 3y \ge 130$
3. $8x + 3y < 130$
Adult tickets cost 11 dollars and child tickets 4 dollars. A group can spend at most 127 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $11x + 4y \le 127$
2. $11x + 4y \ge 127$
3. $11x + 4y < 127$
Adult tickets cost 8 dollars and child tickets 5 dollars. A group can spend at most 198 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $8x + 5y \le 198$
2. $8x + 5y \ge 198$
3. $8x + 5y < 198$
Adult tickets cost 11 dollars and child tickets 4 dollars. A group can spend at most 110 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $11x + 4y \le 110$
2. $11x + 4y \ge 110$
3. $11x + 4y < 110$
Adult tickets cost 14 dollars and child tickets 5 dollars. A group can spend at most 171 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $14x + 5y \le 171$
2. $14x + 5y \ge 171$
3. $14x + 5y < 171$
Adult tickets cost 10 dollars and child tickets 7 dollars. A group can spend at most 169 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $10x + 7y \le 169$
2. $10x + 7y \ge 169$
3. $10x + 7y < 169$
Adult tickets cost 14 dollars and child tickets 4 dollars. A group can spend at most 141 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $14x + 4y \le 141$
2. $14x + 4y \ge 141$
3. $14x + 4y < 141$
Adult tickets cost 12 dollars and child tickets 6 dollars. A group can spend at most 183 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $12x + 6y \le 183$
2. $12x + 6y \ge 183$
3. $12x + 6y < 183$
Adult tickets cost 14 dollars and child tickets 4 dollars. A group can spend at most 166 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $14x + 4y \le 166$
2. $14x + 4y \ge 166$
3. $14x + 4y < 166$
Adult tickets cost 10 dollars and child tickets 6 dollars. A group can spend at most 154 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $10x + 6y \le 154$
2. $10x + 6y \ge 154$
3. $10x + 6y < 154$
Adult tickets cost 14 dollars and child tickets 3 dollars. A group can spend at most 182 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $14x + 3y \le 182$
2. $14x + 3y \ge 182$
3. $14x + 3y < 182$
Adult tickets cost 11 dollars and child tickets 7 dollars. A group can spend at most 165 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $11x + 7y \le 165$
2. $11x + 7y \ge 165$
3. $11x + 7y < 165$
Adult tickets cost 12 dollars and child tickets 4 dollars. A group can spend at most 173 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $12x + 4y \le 173$
2. $12x + 4y \ge 173$
3. $12x + 4y < 173$
Adult tickets cost 15 dollars and child tickets 3 dollars. A group can spend at most 195 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $15x + 3y \le 195$
2. $15x + 3y \ge 195$
3. $15x + 3y < 195$
Adult tickets cost 8 dollars and child tickets 6 dollars. A group can spend at most 108 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $8x + 6y \le 108$
2. $8x + 6y \ge 108$
3. $8x + 6y < 108$
Adult tickets cost 11 dollars and child tickets 7 dollars. A group can spend at most 149 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $11x + 7y \le 149$
2. $11x + 7y \ge 149$
3. $11x + 7y < 149$
Adult tickets cost 14 dollars and child tickets 6 dollars. A group can spend at most 111 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $14x + 6y \le 111$
2. $14x + 6y \ge 111$
3. $14x + 6y < 111$
Adult tickets cost 15 dollars and child tickets 4 dollars. A group can spend at most 196 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $15x + 4y \le 196$
2. $15x + 4y \ge 196$
3. $15x + 4y < 196$
Adult tickets cost 12 dollars and child tickets 6 dollars. A group can spend at most 129 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $12x + 6y \le 129$
2. $12x + 6y \ge 129$
3. $12x + 6y < 129$
Adult tickets cost 12 dollars and child tickets 3 dollars. A group can spend at most 194 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $12x + 3y \le 194$
2. $12x + 3y \ge 194$
3. $12x + 3y < 194$
Adult tickets cost 15 dollars and child tickets 7 dollars. A group can spend at most 181 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $15x + 7y \le 181$
2. $15x + 7y \ge 181$
3. $15x + 7y < 181$
Adult tickets cost 14 dollars and child tickets 5 dollars. A group can spend at most 198 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $14x + 5y \le 198$
2. $14x + 5y \ge 198$
3. $14x + 5y < 198$
Adult tickets cost 9 dollars and child tickets 3 dollars. A group can spend at most 174 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $9x + 3y \le 174$
2. $9x + 3y \ge 174$
3. $9x + 3y < 174$
Adult tickets cost 9 dollars and child tickets 7 dollars. A group can spend at most 120 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $9x + 7y \le 120$
2. $9x + 7y \ge 120$
3. $9x + 7y < 120$
Adult tickets cost 8 dollars and child tickets 4 dollars. A group can spend at most 115 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $8x + 4y \le 115$
2. $8x + 4y \ge 115$
3. $8x + 4y < 115$
Adult tickets cost 9 dollars and child tickets 6 dollars. A group can spend at most 118 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $9x + 6y \le 118$
2. $9x + 6y \ge 118$
3. $9x + 6y < 118$
Adult tickets cost 8 dollars and child tickets 3 dollars. A group can spend at most 131 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $8x + 3y \le 131$
2. $8x + 3y \ge 131$
3. $8x + 3y < 131$
Adult tickets cost 9 dollars and child tickets 6 dollars. A group can spend at most 146 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $9x + 6y \le 146$
2. $9x + 6y \ge 146$
3. $9x + 6y < 146$
Adult tickets cost 15 dollars and child tickets 4 dollars. A group can spend at most 150 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $15x + 4y \le 150$
2. $15x + 4y \ge 150$
3. $15x + 4y < 150$
Adult tickets cost 12 dollars and child tickets 3 dollars. A group can spend at most 149 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $12x + 3y \le 149$
2. $12x + 3y \ge 149$
3. $12x + 3y < 149$
Adult tickets cost 12 dollars and child tickets 4 dollars. A group can spend at most 171 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $12x + 4y \le 171$
2. $12x + 4y \ge 171$
3. $12x + 4y < 171$
Adult tickets cost 10 dollars and child tickets 5 dollars. A group can spend at most 103 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $10x + 5y \le 103$
2. $10x + 5y \ge 103$
3. $10x + 5y < 103$
Adult tickets cost 12 dollars and child tickets 7 dollars. A group can spend at most 171 dollars on $x$ adult and $y$ child tickets. Which inequality models this?
1. $12x + 7y \le 171$
2. $12x + 7y \ge 171$
3. $12x + 7y < 171$

Answers

$-7$
$1$
$1$
$\frac{23}{9} - \frac{7 x}{9}$
$\frac{d}{2}$
$\frac{y}{9} - \frac{1}{3}$
$18$
$- \frac{8}{9}$
$5$
$4$
$14$
$6$
$9$
$6$
$9$
No solution
Infinitely many
Exactly one
$(-\infty, 5)$
$[4, \infty)$
$12$
$0,\ 8$
$(0, 8)$
$(-\infty, 0] \cup [4, \infty)$
None
$(0, 4)$
Solid line, shade below
$15x + 5y \le 168$