C Challenge

29. Carpentry A carpenter is building a tabletop from a sketch. The sketch shows a parallelogram with side lengths 2 in. and 3 in. Also, the sketch specifies that the sides of the finished tabletop should be 4 ft and 6 ft. Can the carpenter be certain that the finished tabletop will be a similar parallelogram? Explain.
30. Painting You have a painting that is 30 in. wide and 22.5 in. tall. You would like to reproduce it on a sheet of paper that measures 8 1 2 8 , and 1 half  in. by 11 in., leaving at least a 1-in. margin on all four sides.
    1. What scale should you use if you keep the sheet of paper in the normal upright orientation? Assume that the reproduction will be as large as possible.
    2. What scale should you use if you turn the paper on its side?

Standardized Test Prep

SAT/ACT

31. The scale of a map is 1 in.: 80 mi. If the actual distance between two cities is 350 mi, how far apart will they be on the map?
    1. 4 1 3 4 , and 1 third  in.
    2. 4 3 16 4 , and 3 sixteenths  in.
    3. 4 3 8 4 , and 3 eighths  in.
    4. 4 1 2 4 , and 1 half  in.
32. The cost c of purchasing r roses from Sandra's Delivery Service is given by the equation c = 3r + 15. If Luke has $50 to spend on roses, how many roses can he buy?
    6. 11
    7. 11 2 3 11 , and 2 thirds
    8. 12
    9. 13
33. Which property of addition is illustrated by a + (b + c) = (a + b) + c?
    1. Commutative
    2. Associative
    3. Inverse
    4. Identity
34. Tamara and Will set up two booths to sell papayas at the farmer's market. Tamara sold hers for $5 each and Will sold his for $7 each. By noon, Tamara had sold 3 more papayas than Will and together they had earned a total of $147. How many papayas did they sell altogether?
    6. 8
    7. 11
    8. 14
    9. 25

Mixed Review

See Lesson 2-7.

Solve each proportion.

35. y 4 = 17 2 y over 4 , equals , 17 over 2
36. 3 a = 2 3 3 over eh , equals , 2 thirds
37. 20 14 = 2 − x 7 20 over 14 , equals . fraction 2 minus x , over 7 end fraction
38. − 3 m = 2 m + 1 negative 3 over m , equals . fraction 2 , over m plus 1 end fraction

    See Lesson 2-4.

39. If you add a certain number to 3, the result is the same as if you had multiplied the number by 3. What is the number?

Get Ready! To prepare for Lesson 2-9, do Exercises 40–43.

See Lesson 1-2.

Simplify each expression.

40. 4 + 0.5(8)
41. 0.2 ( 5 − 3 ) 0.2 open 5 minus 3 close
42. 0.1 ( 5 ) − 0.25 0.1 open 5 close minus , 0.25
43. 3 − 0.01 ( 10 ) 3 minus , 0.01 , open 10 close

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