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Write the ratio as a fraction in lowest terms. Compare in inches. 1 ...

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Math 105 Chapter 7 Practice Test<br />

<strong>Write</strong> <strong>the</strong> <strong>ratio</strong> <strong>as</strong> a <strong>fraction</strong> <strong>in</strong> <strong>lowest</strong> <strong>terms</strong>. <strong>Compare</strong> <strong>in</strong> <strong>in</strong>ches.<br />

1. 132 <strong>in</strong>ches to 2 feet<br />

Solve <strong>the</strong> problem.<br />

2. On a map, 1 <strong>in</strong>ch equals approximately 14 miles. If <strong>the</strong> distance on <strong>the</strong> map<br />

between two towns is 4.9 <strong>in</strong>ches, how many miles is it between <strong>the</strong> two towns?<br />

3. There are 80 males and 75 females <strong>in</strong> a school march<strong>in</strong>g band. What is <strong>the</strong><br />

<strong>ratio</strong> of female band members to total band members.<br />

4. Which h<strong>as</strong> <strong>the</strong> lower unit price for soap?<br />

brand A: $1.21 for 3 bars brand B: $1.63 for 4 bars<br />

5. A recipe calls for 1 tsp. of mustard seeds, 6 cups of tomato sauce, 4½ T<br />

chopped scallions, and 8¼ cups of beans. If 2 cups of tomato sauce are used,<br />

how much of <strong>the</strong> mustard seeds should be used to keep <strong>the</strong> proportions <strong>the</strong><br />

same?<br />

Solve <strong>the</strong> follow<strong>in</strong>g proportion.<br />

6.<br />

2<br />

5 = 10<br />

x − 2<br />

Solve <strong>the</strong> problem.<br />

7. Nearly 4 out of 7 people choose vanilla <strong>as</strong> <strong>the</strong>ir favorite ice cream flavor. If 168<br />

people attend an ice cream social, how many would you expect to choose<br />

vanilla?<br />

8. The amount <strong>in</strong> a sav<strong>in</strong>gs account <strong>in</strong>cre<strong>as</strong>ed from $200 to $206. What w<strong>as</strong> <strong>the</strong><br />

percent of <strong>in</strong>cre<strong>as</strong>e?<br />

9. Dur<strong>in</strong>g a sale, a dress decre<strong>as</strong>ed <strong>in</strong> price from $60 to $48. What w<strong>as</strong> <strong>the</strong><br />

percent of decre<strong>as</strong>e?


Math 105 Chapter 7 Practice Test<br />

10. At a large state university, 60% of <strong>the</strong> students who apply are accepted. Of<br />

those who are accepted, 25% actually enroll. If 30,000 students apply, how<br />

many actually enroll?<br />

11. If <strong>the</strong> simple <strong>in</strong>terest on $2000 for 9 years is $1080, <strong>the</strong>n what is <strong>the</strong> rate?<br />

12. What annual <strong>in</strong>terest rate is earned by a 13-week T-bill with a maturity value<br />

of $1000 that sells for $989.37? (round to three decimal places)<br />

13. A newborn child receives a $5000 gift toward a college education from her<br />

grandparents. How much will <strong>the</strong> $5000 be worth <strong>in</strong> 17 years if it is <strong>in</strong>vested at<br />

7% compounded quarterly?<br />

14.You want to have a $100,000 college fund <strong>in</strong> 18 years. How much will you<br />

have to deposit now at an APR of 4% compounded daily?<br />

15. A 100-grid represents <strong>the</strong> first floor of an office build<strong>in</strong>g. Design a floor plan<br />

(us<strong>in</strong>g <strong>the</strong> attached grid) so that: 68% of <strong>the</strong> space is for 4 separate offices, 20%<br />

of <strong>the</strong> space is for hallways, and 12% of <strong>the</strong> space is for 2 separate bathrooms.<br />

16.Complete <strong>the</strong> table. Be sure to reduce each <strong>fraction</strong> to <strong>lowest</strong> <strong>terms</strong><br />

a. 5<br />

8<br />

Fraction Decimal Percent<br />

b.<br />

0.6<br />

c.<br />

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