Grade 10 state test practice (Integrated)

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  1. No calculator

    A phone plan costs 37 dollars a month plus 15 cents per text. Maya wants a model for her monthly bill. Which is the best definition of the variable?
    1. Let n be the number of texts Maya sends in one month
    2. Let n be texts
    3. Let n be the cost of one text
  2. No calculator

    Solve 3x+3=−183x + 3 = -18. x=  ?x = \;?
  3. No calculator

    Solve the system y=2x+4y = 2x + 4 and 3x+y=243x + y = 24. x=  ?x = \;?
  4. No calculator

    A table pairs inputs xx with outputs yy: (x,y)=(5,1),(5,2),(9,3)(x, y) = (5, 1), (5, 2), (9, 3). Is yy a function of xx?
    1. No: the input 5 has two different outputs
    2. Yes: every input has an output
    3. Yes: the outputs are all different
  5. No calculator

    A table gives x=0,1,2,3x = 0, 1, 2, 3 and y=4,12,36,108y = 4, 12, 36, 108. What kind of relationship is it?
    1. Exponential: yy is multiplied by 3 at each step
    2. Linear: yy goes up by 8 at each step
    3. Neither
  6. No calculator

    A survey asked 145 people whether they exercise weekly. Under 30: 22 yes, 43 no. Age 30 or over: 27 yes, 53 no. What proportion of the under-30s exercise weekly?
  7. No calculator

    Put the steps for constructing the perpendicular bisector of a segment AB of length 7 cm in order.
    • With the compass point on A, draw an arc with a radius of more than half of AB
    • Keep the same opening; with the point on B, draw an arc that crosses the first one twice
    • Label the two crossing points P and Q
    • Draw the line through P and Q with the straightedge
  8. No calculator

    Find the distance between (−1,−3)(-1, -3) and (2,1)(2, 1).
  9. No calculator

    Evaluate 365236^{ \frac{ 5 }{2} }.
  10. How many inches are in 5 feet? (1 foot = 12 inches)
  11. Solve 7x+9y=237x + 9y = 23 for yy. y=  ?y = \;?
  12. Solve the system x+y=15x + y = 15 and x−y=3x - y = 3. x=  ?x = \;?
  13. f(x)=2x2+3f(x) = 2x^2 + 3. Find f(−3)f(-3).
  14. A culture starts with 7 grams of algae. Each week, the amount is multiplied by 3. How many grams are there after 3 weeks?
  15. A distribution of incomes has mean 54 thousand dollars and median 43 thousand dollars. What is its most likely shape?
    1. Skewed right: a long tail of high values pulls the mean up
    2. Skewed left
    3. Symmetric
  16. Of 40 drivers who texted, 30 had a near-miss; of 40 who did not text, 10 had one. Is there an association between texting and near-misses in these data?
    1. Yes: 75% of texters vs 25% of non-texters had a near-miss
    2. No: both groups have 40 drivers
    3. Yes, and it proves texting causes near-misses
  17. Translate the point A(−4,−4)A(-4, -4) by 2 units right and 1 units down. Tap its image A′A'.
  18. A line has slope 1/81/8. Find the slope of a line perpendicular to it.
  19. Which number is irrational?
    1. 2\sqrt{ 2 }
    2. 4\sqrt{ 4 }
    3. 0.1‾0.\overline{ 1 }
  20. A tile pattern has 6, 9, 14 and 21 tiles in steps 1 to 4 (a square of tiles plus 5 extra). How many tiles are in step 10?