# 3.9: Chapter 3 Review

Difficulty Level:

**At Grade**Created by: CK-12Turn In

Solve for the variable.

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

Write the following comparisons as ratios. Simplify when appropriate.

- 10 boys to 25 students
- 96 apples to 42 pears
- $600 to $900
- 45 miles to 3 hours

Write the following as a unit rate.

- $4.99 for 16 ounces of turkey burger
- 40 computers to 460 students
- 18 teachers to 98 students
- 48 minutes to 15 appointments

Solve the proportion.

- Solve for \begin{align*}n: \ - \frac{6}{n - 7} = - \frac{2}{n + 1}\end{align*}.
- Solve for \begin{align*}x: \ - \frac{9}{5} = \frac{x - 7}{x + 10}\end{align*}.
- Solve for \begin{align*}b: \ \frac{5b}{12} = \frac{3}{11}\end{align*}.
- Solve for \begin{align*}n: \ - \frac{12}{n} = \frac{5}{2n + 6}\end{align*}.

Write the decimal as a percent.

- 0.4567
- 2.01
- 0.005
- 0.043

Write each percent as a decimal.

- 23.5%
- 0.08%
- 0.025%
- 125.4%

Write each percent as a fraction.

- 78%
- 11.2%
- 10.5%
- \begin{align*}33.\bar{3}\%\end{align*}

Solve using the Percent Equation.

- 32.4 is 45% of what number?
- 58.7 is what percent of 1,000?
- What is 12% of 78?
- The original price is $44 and the mark-up is 20%. What is the new price?
- An item originally priced $240 has a 15% discount. What is the new price?
- A pair of shoes originally priced $89.99 is discounted to $74.99. What is the percent of mark-down?
- A salon’s haircut rose in price from $10 to $14. What is the percent of mark-up?
- An item costing \begin{align*}c\end{align*} dollars decreased $48, resulting in a 30% mark-down. What was the original price?
- 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?
- 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?
- The sum of twice a number and 38 is 124. What is the number?
- The perimeter of a square parking lot is 260 yards. What are the dimensions of the parking lot?
- A restaurant charges $3.79 for \begin{align*}\frac{1}{8}\end{align*} of a pie. At this rate, how much does the restaurant charge for the entire pie?
- 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? - A \begin{align*}6 \frac{1}{2}\end{align*}-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?
- 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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Date Created:

Feb 22, 2012
Last Modified:

Feb 09, 2016
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