3.9: Chapter 3 Review
Difficulty Level: At Grade
Created by: CK12
Solve for the variable.

\begin{align*}a + 11.2 = 7.3\end{align*}
a+11.2=7.3 
\begin{align*}9.045+j=27\end{align*}
9.045+j=27 
\begin{align*}11 = b + \frac{5}{7}\end{align*}
11=b+57 
\begin{align*}22 = 3 + k\end{align*}
−22=−3+k 
\begin{align*}9 = n6\end{align*}
−9=n−6 
\begin{align*}6+l=27\end{align*}
−6+l=−27 
\begin{align*}\frac{s}{2} = 18\end{align*}
s2=−18 
\begin{align*}29= \frac{e}{27}\end{align*}
29=e27 
\begin{align*}u \div 66 = 11\end{align*}
u÷−66=11 
\begin{align*}5f = 110\end{align*}
−5f=−110 
\begin{align*}76=19p\end{align*}
76=−19p 
\begin{align*}h=9\end{align*}
−h=−9 
\begin{align*}\frac{q+1}{11} = 2\end{align*}
q+111=−2 
\begin{align*}22m=22\end{align*}
−2−2m=−22 
\begin{align*}5+ \frac{d}{6} = 7\end{align*}
−5+d6=−7 
\begin{align*}32=2b3b+5b\end{align*}
32=2b−3b+5b 
\begin{align*}9=4h+14h\end{align*}
9=4h+14h 
\begin{align*}u3u2u=144\end{align*}
u−3u−2u=144 
\begin{align*}2i+57i=15\end{align*}
2i+5−7i=15 
\begin{align*}10=t+154t\end{align*}
−10=t+15−4t 
\begin{align*}\frac{1}{2} k16+2 \frac{1}{2} k=0\end{align*}
12k−16+212k=0 
\begin{align*}\frac{1543}{120} = \frac{3}{5} x + \frac{11}{4} \left ( \frac{11}{5} x + \frac{8}{5} \right )\end{align*}
−1543120=35x+114(−115x+85)  \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(5y4)=6y39\end{align*}
 \begin{align*}5(a7)+2(a3(a5) )=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 markup 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 markdown?
 A salon’s haircut rose in price from $10 to $14. What is the percent of markup?
 An item costing \begin{align*}c\end{align*} dollars decreased $48, resulting in a 30% markdown. 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 60watt 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*}foottall car casts a 33.2foot shadow. Next to the car is an elephant casting a 51.5foot 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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