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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\begin{align*}a + 11.2 = 7.3\end{align*}
2. 9.045+j=27\begin{align*}9.045+j=27\end{align*}
3. 11=b+57\begin{align*}11 = b + \frac{5}{7}\end{align*}
4. 22=3+k\begin{align*}-22 = -3 + k\end{align*}
5. 9=n6\begin{align*}-9 = n-6\end{align*}
6. 6+l=27\begin{align*}-6+l=-27\end{align*}
7. s2=18\begin{align*}\frac{s}{2} = -18\end{align*}
8. 29=e27\begin{align*}29= \frac{e}{27}\end{align*}
9. u÷66=11\begin{align*}u \div -66 = 11\end{align*}
10. 5f=110\begin{align*}-5f = -110\end{align*}
11. 76=19p\begin{align*}76=-19p\end{align*}
12. h=9\begin{align*}-h=-9\end{align*}
13. q+111=2\begin{align*}\frac{q+1}{11} = -2\end{align*}
14. 22m=22\begin{align*}-2-2m=-22\end{align*}
15. 5+d6=7\begin{align*}-5+ \frac{d}{6} = -7\end{align*}
16. 32=2b3b+5b\begin{align*}32=2b-3b+5b\end{align*}
17. 9=4h+14h\begin{align*}9=4h+14h\end{align*}
18. u3u2u=144\begin{align*}u-3u-2u=144\end{align*}
19. 2i+57i=15\begin{align*}2i+5-7i=15\end{align*}
20. 10=t+154t\begin{align*}-10=t+15-4t\end{align*}
21. 12k16+212k=0\begin{align*}\frac{1}{2} k-16+2 \frac{1}{2} k=0\end{align*}
22. 1543120=35x+114(115x+85)\begin{align*}\frac{-1543}{120} = \frac{3}{5} x + \frac{11}{4} \left (- \frac{11}{5} x + \frac{8}{5} \right )\end{align*}
23. 5.44x+5.11(7.3x+2)=37.3997+6.8x\begin{align*}- 5.44x + 5.11 (7.3x + 2) = - 37.3997 + 6.8x\end{align*}
24. 5(5r+7)=25+5r\begin{align*}-5(5r+7) = 25+5r\end{align*}
25. 7p+37=2(6p+1)\begin{align*}-7p + 37 = 2(-6p + 1)\end{align*}
26. 3(5y4)=6y39\begin{align*}3(-5y-4)=-6y-39\end{align*}
27. 5(a7)+2(a3(a5))=0\begin{align*}5(a-7)+2(a-3(a-5) )=0\end{align*}

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: 6n7=2n+1\begin{align*}n: \ - \frac{6}{n - 7} = - \frac{2}{n + 1}\end{align*}. 2. Solve for x: 95=x7x+10\begin{align*}x: \ - \frac{9}{5} = \frac{x - 7}{x + 10}\end{align*}. 3. Solve for b: 5b12=311\begin{align*}b: \ \frac{5b}{12} = \frac{3}{11}\end{align*}. 4. Solve for n: 12n=52n+6\begin{align*}n: \ - \frac{12}{n} = \frac{5}{2n + 6}\end{align*}. 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. 33.3¯%\begin{align*}33.\bar{3}\%\end{align*} 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 is44 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\begin{align*}c\end{align*} dollars decreased48, 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 18\begin{align*}\frac{1}{8}\end{align*} 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 612\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?
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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Feb 22, 2012

Dec 11, 2014