Practice sheet

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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 $x$ . $x = \;?$
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
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 $y$ .

Answers

$-7$
$1$
$1$
$\frac{23}{9} - \frac{7 x}{9}$
$\frac{d}{2}$
$\frac{y}{9} - \frac{1}{3}$
$(-\infty, 5)$
$[4, \infty)$
$12$
$0,\ 8$
$(0, 8)$
$(-\infty, 0] \cup [4, \infty)$
None
$18$
$- \frac{8}{9}$
$5$