2 Chapter Test

Do you know HOW?

Solve each proportion.

1. 8 k = − 12 30 8 over k , equals negative , 12 over 30
2. 3 5 = y + 1 9 3 fifths , equals . fraction y plus 1 , over 9 end fraction

Solve each equation. Check your answer.

3. 3 w + 2 = w − 4 3 w plus 2 equals w minus 4
4. 1 4 ( k − 1 ) = 7 1 fourth , open k minus 1 close equals 7
5. 6y = 12.8
6. 5 n + 1 8 = 3 n − 5 4 fraction 5 n plus 1 , over 8 end fraction . equals . fraction 3 n minus 5 , over 4 end fraction
7. Bicycling You are riding your bicycle to prepare for a race. It takes you 12 min to go 2.5 mi. What was your speed in miles per hour?

The figures in each pair are similar. Find the missing length.

8. 
9. 
10. Shadows In the late afternoon, a 3.5-ft child casts a 60-in. shadow. The child is next to a telephone pole that casts a 50-ft shadow, forming similar triangles. How tall is the telephone pole?

Tell whether each percent change is an increase or decrease. Then find the percent change.

11. original amount: $5000

    new amount: $6500

12. original amount: 150 lb

    new amount: 135 lb

Define a variable and write an equation to model each situation. Then solve.

13. Farming You have 100 ft of fencing to build a circular sheep pen.
    1. What is the diameter of the largest pen you can build? Use 3.14 for π.
    2. What is the area of the largest pen you can build?
14. Maps The scale on a map is 1 in. : 25 mi. You measure 6.5 in. between two towns. What is the actual distance?
15. Birds In a bird sanctuary, 30% of the birds are hummingbirds. If there are about 350 birds in the sanctuary at any given time, how many are hummingbirds?

Do you UNDERSTAND?

16. Reasoning Explain which is more accurate: measuring to the nearest millimeter or to the nearest eighth of an inch.
17. Writing A 30-pack of blank CDs costs $9.50. A 50-pack of blank CDs costs $13. How can you tell which is the better buy?
18. Error Analysis Average attendance at a school's basketball games increased from 1000 to 1500 last year. One student said that represented a 150% increase. Explain the student's error. What is the actual percent increase?

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