48. Open-Ended Write an equation in three variables. Solve the equation for each variable. Show all your steps.

    C Challenge

49. Surface Area A rectangular prism with height h and with square bases with side length s is shown.

    

    1. Write a formula for the surface area A of the prism.
    2. Rewrite the formula to find h in terms of A and s. If s is 10 cm and A is 760 cm 2 , 760 , cm squared , comma  what is the height of the prism?
    3. Writing Suppose h is equal to s. Write a formula for A in terms of s only.
50. Midpoints Suppose a segment on a number line has endpoints with coordinates a and b. The coordinate of the segment's midpoint m is given by the formula m = a + b 2 . m equals . fraction eh plus b , over 2 end fraction . .
    1. Find the midpoint of a segment with endpoints at 9.3 and 2.1.
    2. Rewrite the given formula to find b in terms of a and m.
    3. The midpoint of a segment is at 3.5. One endpoint is at 8.9. Find the other endpoint.

Standardized Test Prep

GRIDDED RESPONSE

SAT/ACT

51. What is the value of the expression − 3 4 m + 15 negative , 3 fourths , m plus 15  when m = 12 ? m equals 12 question mark
52. What is the solution of 9 p + 6 − 3 p = 45 ? 9 p plus 6 minus 3 p equals 45 question mark
53. The formula F = n 4 + 37 f equals , n over 4 , plus 37  relates the number of chirps n a cricket makes in 1 min to the outside temperature F in degrees Fahrenheit. How many chirps can you expect a cricket to make in 1 min when the outside temperature is 60°F?

Mixed Review

See Lesson 2-4.

Solve each equation. If the equation is an identity, write identity. If it has no solution, write no solution.

54. 3 x − 3 = x + 7 3 x minus 3 equals x plus 7
55. 2 b − 10 = − 3 b + 5 2 b minus 10 equals negative 3 b plus 5
56. 4 + 12 a = − 2 ( 6 − 4 a ) 4 plus 12 eh equals negative 2 open 6 minus 4 eh close
57. 2 ( y − 4 ) = − 4 y + 10 2 open y minus 4 close equals negative 4 y plus 10
58. 4 c − 10 = 2 ( 2 c − 5 ) 4 c minus 10 equals 2 open 2 c minus 5 close
59. 5 + 4p = 2(2p + 1)

See Lesson 1-2.

Evaluate each expression for b = 3 and c = 7.

60. b c 2 b , c squared
61. b 2 − c 2 b squared , minus , c squared
62. ( 3 b ) 2 c open 3 b close squared . c
63. ( b + c ) 2 open b plus c close squared

See p. 792.

Get Ready! To prepare for Lesson 2-6, do Exercises 64–66.

Simplify each product.

64. 35 25 × 30 14 35 over 25 , times , 30 over 14
65. 99 108 × 96 55 99 over 108 , times , 96 over 55
66. 21 81 × 63 105 21 over 81 , times , 63 over 105

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