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3.9: Chapter 3 Review

Difficulty Level: At Grade Created by: CK-12

Solve for the variable.

1. $a + 11.2 = 7.3$
2. $9.045+j=27$
3. $11 = b + \frac{5}{7}$
4. $-22 = -3 + k$
5. $-9 = n-6$
6. $-6+l=-27$
7. $\frac{s}{2} = -18$
8. $29= \frac{e}{27}$
9. $u \div -66 = 11$
10. $-5f = -110$
11. $76=-19p$
12. $-h=-9$
13. $\frac{q+1}{11} = -2$
14. $-2-2m=-22$
15. $-5+ \frac{d}{6} = -7$
16. $32=2b-3b+5b$
17. $9=4h+14h$
18. $u-3u-2u=144$
19. $2i+5-7i=15$
20. $-10=t+15-4t$
21. $\frac{1}{2} k-16+2 \frac{1}{2} k=0$
22. $\frac{-1543}{120} = \frac{3}{5} x + \frac{11}{4} \left (- \frac{11}{5} x + \frac{8}{5} \right )$
23. $- 5.44x + 5.11 (7.3x + 2) = - 37.3997 + 6.8x$
24. $-5(5r+7) = 25+5r$
25. $-7p + 37 = 2(-6p + 1)$
26. $3(-5y-4)=-6y-39$
27. $5(a-7)+2(a-3(a-5) )=0$

Write the following comparisons as ratios. Simplify when appropriate.

1. 10 boys to 25 students
2. 96 apples to 42 pears
3. $600 to$900
4. 45 miles to 3 hours

Write the following as a unit rate.

1. $4.99 for 16 ounces of turkey burger 2. 40 computers to 460 students 3. 18 teachers to 98 students 4. 48 minutes to 15 appointments Solve the proportion. 1. Solve for $n: \ - \frac{6}{n - 7} = - \frac{2}{n + 1}$. 2. Solve for $x: \ - \frac{9}{5} = \frac{x - 7}{x + 10}$. 3. Solve for $b: \ \frac{5b}{12} = \frac{3}{11}$. 4. Solve for $n: \ - \frac{12}{n} = \frac{5}{2n + 6}$. Write the decimal as a percent. 1. 0.4567 2. 2.01 3. 0.005 4. 0.043 Write each percent as a decimal. 1. 23.5% 2. 0.08% 3. 0.025% 4. 125.4% Write each percent as a fraction. 1. 78% 2. 11.2% 3. 10.5% 4. $33.\bar{3}\%$ Solve using the Percent Equation. 1. 32.4 is 45% of what number? 2. 58.7 is what percent of 1,000? 3. What is 12% of 78? 4. The original price is$44 and the mark-up is 20%. What is the new price?
5. An item originally priced $240 has a 15% discount. What is the new price? 6. A pair of shoes originally priced$89.99 is discounted to $74.99. What is the percent of mark-down? 7. A salon’s haircut rose in price from$10 to $14. What is the percent of mark-up? 8. An item costing $c$ dollars decreased$48, resulting in a 30% mark-down. What was the original price?
9. The width of a rectangle is 15 units less than its length. The perimeter of the rectangle is 98 units. What is the rectangle’s length?
10. George took a cab from home to a job interview. The cab fare was $4.00 plus$0.25 per mile. His total fare was $16.75. How many miles did he travel? 11. The sum of twice a number and 38 is 124. What is the number? 12. The perimeter of a square parking lot is 260 yards. What are the dimensions of the parking lot? 13. A restaurant charges$3.79 for $\frac{1}{8}$ of a pie. At this rate, how much does the restaurant charge for the entire pie?
14. A 60-watt light bulb consumes 0.06 kilowatts/hour of energy. How long was the bulb left on if it consumed 5.56 kilowatts/hour of energy?
15. A $6 \frac{1}{2}$-foot-tall car casts a 33.2-foot shadow. Next to the car is an elephant casting a 51.5-foot shadow. How tall is the elephant?
16. Two cities are 87 miles apart. How far would they be on a map with a scale of 5 inches : 32 miles?

8 , 9

Feb 22, 2012

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Dec 11, 2014
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CK.MAT.ENG.SE.1.Algebra-Basic.3.9