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# 2.9: Chapter 2 Review

Difficulty Level: At Grade Created by: CK-12

Compare the real numbers.

1. 7 and –11
2. $\frac{4}{5}$ and $\frac{11}{16}$
3. $\frac{10}{15}$ and $\frac{2}{3}$
4. 0.985 and $\frac{31}{32}$
5. –16.12 and $\frac{-300}{9}$

Order the real numbers from least to greatest.

1. $\frac{8}{11}, \frac{7}{10}, \frac{5}{9}$
2. $\frac{2}{7}, \frac{1}{11}, \frac{8}{13}, \frac{4}{7}, \frac{8}{9}$

Graph these values on the same number line.

1. $3\frac{1}{3}$
2. –1.875
3. $\frac{7}{8}$
4. $0.1\bar{6}$
5. $\frac{-55}{5}$

Simplify by applying the Distributive Property.

1. $6n(-2+5n)-n(-3n-8)$
2. $7x+2(-6x+2)$
3. $-7x(x+5)+3(4x-8)$
4. $-3(-6r-5)-2r(1+6r)$
5. $1+3(p+8)$
6. $3(1-5k)-1$

Approximate the square root to the nearest hundredth.

1. $\sqrt{26}$
2. $\sqrt{330}$
3. $\sqrt{625}$
4. $\sqrt{121}$
5. $\sqrt{225}$
6. $\sqrt{11}$
7. $\sqrt{8}$

Rewrite the square root without using a calculator.

1. $\sqrt{50}$
2. $\sqrt{8}$
3. $\sqrt{80}$
4. $\sqrt{32}$

Simplify by combining like terms.

1. $8+b+1-7b$
2. $9n+9n+17$
3. $7h-3+3$
4. $9x+11-x-3+5x+2$

Evaluate.

1. $\frac{8}{5}-\frac{4}{3}$
2. $\frac{4}{3}-\frac{1}{2}$
3. $\frac{1}{6}+ 1 \frac{5}{6}$
4. $\frac{-5}{4}\times \frac{1}{3}$
5. $\frac{4}{9} \times \frac{7}{4}$
6. $-1\frac{5}{7} \times -2\frac{1}{2}$
7. $\frac{1}{9} \div -1\frac{1}{3}$
8. $\frac{-3}{2} \div \frac{-10}{7}$
9. $-3\frac{7}{10} \div 2\frac{1}{4}$
10. $1\frac{1}{5}-\left (-3\frac{3}{4}\right )$
11. $4 \frac{2}{3}+3\frac{2}{3}$
12. $5.4+(-9.7)$
13. $(-7.1)+(-0.4)$
14. $(-4.79)+(-3.63)$
15. $(-8.1)-(-8.9)$
16. $1.58-(-13.6)$
17. $(-13.6)+12-(-15.5)$
18. $(-5.6)-(-12.6)+(-6.6)$
19. $19.4+24.2$
20. $8.7+3.8+12.3$
21. $9.8-9.4$
22. $2.2-7.3$

List all the categories that apply to the following numbers.

1. 10.9
2. $\frac{-9}{10}$
3. $3\pi$
4. $\frac{\pi}{2}-\frac{\pi}{2}$
5. –21
6. 8

Which property has been applied?

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

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 $\frac{3}{8}$-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 $\frac{3}{8} \ miles/hour$. How long will it take to dig a trench 14 miles long? 5. Georgia started with a given amount of money, $a$. She spent$4.80 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, $a$, did Georgia have in the beginning?
6. The formula for an area of a square is $A=s^2$. A square garden has an area of 145 meters$^2$. Find the length of the garden exactly.

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Feb 22, 2012

Dec 11, 2014