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3.9: Chapter 3 Review

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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?

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CK.MAT.ENG.SE.1.Algebra-Basic.3.9

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