<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />

# 2.9: Chapter 2 Review

Difficulty Level: At Grade Created by: CK-12

Compare the real numbers.

1. 7 and –11
2. 45\begin{align*}\frac{4}{5}\end{align*} and 1116\begin{align*}\frac{11}{16}\end{align*}
3. 1015\begin{align*}\frac{10}{15}\end{align*} and 23\begin{align*}\frac{2}{3}\end{align*}
4. 0.985 and 3132\begin{align*}\frac{31}{32}\end{align*}
5. –16.12 and 3009\begin{align*}\frac{-300}{9}\end{align*}

Order the real numbers from least to greatest.

1. 811,710,59\begin{align*}\frac{8}{11}, \frac{7}{10}, \frac{5}{9}\end{align*}
2. 27,111,813,47,89\begin{align*}\frac{2}{7}, \frac{1}{11}, \frac{8}{13}, \frac{4}{7}, \frac{8}{9}\end{align*}

Graph these values on the same number line.

1. 313\begin{align*}3\frac{1}{3}\end{align*}
2. –1.875
3. 78\begin{align*}\frac{7}{8}\end{align*}
4. 0.16¯\begin{align*}0.1\bar{6}\end{align*}
5. 555\begin{align*}\frac{-55}{5}\end{align*}

Simplify by applying the Distributive Property.

1. 6n(2+5n)n(3n8)\begin{align*}6n(-2+5n)-n(-3n-8)\end{align*}
2. 7x+2(6x+2)\begin{align*}7x+2(-6x+2)\end{align*}
3. 7x(x+5)+3(4x8)\begin{align*}-7x(x+5)+3(4x-8)\end{align*}
4. 3(6r5)2r(1+6r)\begin{align*}-3(-6r-5)-2r(1+6r)\end{align*}
5. 1+3(p+8)\begin{align*}1+3(p+8)\end{align*}
6. 3(15k)1\begin{align*}3(1-5k)-1\end{align*}

Approximate the square root to the nearest hundredth.

1. 26\begin{align*}\sqrt{26}\end{align*}
2. 330\begin{align*}\sqrt{330}\end{align*}
3. 625\begin{align*}\sqrt{625}\end{align*}
4. 121\begin{align*}\sqrt{121}\end{align*}
5. 225\begin{align*}\sqrt{225}\end{align*}
6. 11\begin{align*}\sqrt{11}\end{align*}
7. 8\begin{align*}\sqrt{8}\end{align*}

Rewrite the square root without using a calculator.

1. 50\begin{align*}\sqrt{50}\end{align*}
2. 8\begin{align*}\sqrt{8}\end{align*}
3. 80\begin{align*}\sqrt{80}\end{align*}
4. 32\begin{align*}\sqrt{32}\end{align*}

Simplify by combining like terms.

1. 8+b+17b\begin{align*}8+b+1-7b\end{align*}
2. 9n+9n+17\begin{align*}9n+9n+17\end{align*}
3. 7h3+3\begin{align*}7h-3+3\end{align*}
4. 9x+11x3+5x+2\begin{align*}9x+11-x-3+5x+2\end{align*}

Evaluate.

1. 8543\begin{align*}\frac{8}{5}-\frac{4}{3}\end{align*}
2. 4312\begin{align*}\frac{4}{3}-\frac{1}{2}\end{align*}
3. 16+156\begin{align*}\frac{1}{6}+ 1 \frac{5}{6}\end{align*}
4. 54×13\begin{align*}\frac{-5}{4}\times \frac{1}{3}\end{align*}
5. 49×74\begin{align*}\frac{4}{9} \times \frac{7}{4}\end{align*}
6. 157×212\begin{align*}-1\frac{5}{7} \times -2\frac{1}{2}\end{align*}
7. 19÷113\begin{align*}\frac{1}{9} \div -1\frac{1}{3}\end{align*}
8. 32÷107\begin{align*}\frac{-3}{2} \div \frac{-10}{7}\end{align*}
9. 3710÷214\begin{align*}-3\frac{7}{10} \div 2\frac{1}{4}\end{align*}
10. 115(334)\begin{align*}1\frac{1}{5}-\left (-3\frac{3}{4}\right )\end{align*}
11. 423+323\begin{align*}4 \frac{2}{3}+3\frac{2}{3}\end{align*}
12. 5.4+(9.7)\begin{align*}5.4+(-9.7)\end{align*}
13. (7.1)+(0.4)\begin{align*}(-7.1)+(-0.4)\end{align*}
14. (4.79)+(3.63)\begin{align*}(-4.79)+(-3.63)\end{align*}
15. (8.1)(8.9)\begin{align*}(-8.1)-(-8.9)\end{align*}
16. 1.58(13.6)\begin{align*}1.58-(-13.6)\end{align*}
17. (13.6)+12(15.5)\begin{align*}(-13.6)+12-(-15.5)\end{align*}
18. \begin{align*}(-5.6)-(-12.6)+(-6.6)\end{align*}
19. \begin{align*}19.4+24.2\end{align*}
20. \begin{align*}8.7+3.8+12.3\end{align*}
21. \begin{align*}9.8-9.4\end{align*}
22. \begin{align*}2.2-7.3\end{align*}

List all the categories that apply to the following numbers.

1. 10.9
2. \begin{align*}\frac{-9}{10}\end{align*}
3. \begin{align*}3\pi\end{align*}
4. \begin{align*}\frac{\pi}{2}-\frac{\pi}{2}\end{align*}
5. –21
6. 8

Which property has been applied?

1. \begin{align*}6.78+(-6.78)=0\end{align*}
2. \begin{align*}9.8+11.2+1.2=9.8+1.2+11.2\end{align*}
3. \begin{align*}3a+(4a+8)=(3a+4a)+8\end{align*}
4. \begin{align*}\frac{4}{3}-\left (-\frac{5}{6}\right )=\frac{4}{3}+\frac{5}{6}\end{align*}
5. \begin{align*}(1)j=j\end{align*}
6. \begin{align*}8(11)\left (\frac{1}{8}\right )=8\left (\frac{1}{8}\right )(11)\end{align*}

Solve the real-world situation.

1. Carol has 18 feet of fencing and purchased an addition 132 inches. How much fencing does Carol have?
2. Ulrich is making cookies for a fundraiser. Each cookie requires \begin{align*}\frac{3}{8}\end{align*}-pound of dough. He has 12 pounds of cookie dough. How many cookies can Ulrich make?
3. Herrick bought 11 DVDs at 19.99 each. Use the Distributive Property to show how Herrick can calculate mentally the amount of money he will need. 4. Bagger 288 is a trench digger, which moves at \begin{align*}\frac{3}{8} \ miles/hour\end{align*}. How long will it take to dig a trench 14 miles long? 5. Georgia started with a given amount of money, \begin{align*}a\end{align*}. She spent4.80 on a large latte, $1.20 on an English muffin,$68.48 on a new shirt, and $32.45 for a present. She now has$0.16. How much money, \begin{align*}a\end{align*}, did Georgia have in the beginning?
6. The formula for an area of a square is \begin{align*}A=s^2\end{align*}. A square garden has an area of 145 meters\begin{align*}^2\end{align*}. Find the length of the garden exactly.

### Notes/Highlights Having trouble? Report an issue.

Color Highlighted Text Notes

Show Hide Details
Description
Tags:
Subjects: