Standardized Test Prep

SAT/ACT

37. A designer sketches a design for a tabletop on graph paper. The table is bounded by a parabola and a line. The parabola can be modeled by the function y = 2 x 2 − 3 x + 2 . y equals , 2 x squared , minus 3 x plus 2 .  The line intersects the parabola when x = − 1 x equals negative 1  and when x = 3 . x equals 3 .  What is an equation of the line?
    1. y = − x + 8 y equals negative x plus 8
    2. y = x + 8 y equals x plus 8
    3. y = 2 x + 5 y equals 2 x plus 5
    4. y = − 2 x + 5 y equals negative 2 x plus 5
38. Which equation illustrates the Distributive Property?
    6. 4 ( x + 2 ) = 4 x + 8 4 open x plus 2 close equals 4 x plus 8
    7. 4 ( x + 2 ) = ( x + 2 ) 4 4 open x plus 2 close equals open x plus 2 close 4
    8. 4 ( x + 2 ) = 4 ( 2 + x ) 4 open x plus 2 close equals 4 open 2 plus x close
    9. 4 ( x + 2 ) = 4 ( x + 2 ) 4 open x plus 2 close equals 4 open x plus 2 close
39. Which rate is equivalent to 30 m/s?
    1. 3 km/h
    2. 108 km/h
    3. 3000 km/h
    4. 108,000 km/h
40. Which of the following is equivalent to 0.05%?
    6. 0.00005
    7. 0.0005
    8. 0.005
    9. 0.05

Short Response

41. A box with 4 balls weighs 5 lb. The same box with 10 balls weighs 11 lb. Write an equation in slope-intercept form for the weight y of a box containing x balls. Then rewrite the equation in standard form using integer coefficients.

Mixed Review

See Lesson 9-7.

Which type of function best models the data in each table? Write an equation to model the data.

42. x	y
    − 1 negative 1	0.2
    0	0
    1	0.2
    2	0.8
    3	1.8
    4	3.2

43. x	y
    − 1 negative 1	1.6
    0	4
    1	10
    2	25
    3	62.5
    4	156.25

44. x	y
    − 1 negative 1	11.2
    0	7
    1	2.8
    2	− 1.4 negative 1.4
    3	− 5.6 negative 5.6
    4	− 9.8 negative 9.8

Get Ready! To prepare for Lesson 10-1, do Exercises 45–50.

See Lesson 1-3.

Simplify each expression.

45. 196 square root of 196
46. 25 49 square root of 25 over 49 end root
47. 1.44 square root of 1.44
48. 81 square root of 81
49. 0.36 square root of 0.36
50. 400 square root of 400

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