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# 2.10: Chapter 2 Test

Difficulty Level: At Grade Created by: CK-12

Simplify by using the Distributive Property.

1. 3+7(3a2)\begin{align*}-3+7(3a-2)\end{align*}
2. 8(3+2q)+5(q+3)\begin{align*}8(3+2q)+5(q+3)\end{align*}

Simplify.

1. 8p5p\begin{align*}8p-5p\end{align*}
2. 9z+332z15\begin{align*}9z+33-2z-15\end{align*}
3. 95÷2\begin{align*}-\frac{9}{5}\div 2\end{align*}
4. 167×534\begin{align*}1\frac{6}{7}\times 5\frac{3}{4}\end{align*}
5. 12323\begin{align*}\frac{1}{2}-3\frac{2}{3}\end{align*}
6. 314+158\begin{align*}\frac{3}{14}+\frac{15}{8}\end{align*}
7. 3.5510.4\begin{align*}3.5-5-10.4\end{align*}
8. 16(6.5)×65\begin{align*}\frac{1}{6}-(-6.5)\times \frac{6}{5}\end{align*}

Simplify the square root exactly without a calculator.

1. 125\begin{align*}\sqrt{125}\end{align*}
2. 18\begin{align*}\sqrt{18}\end{align*}
3. How is the multiplicative inverse different from the additive inverse?
4. A square plot of land has an area of 168 miles2\begin{align*}168 \ miles^2\end{align*}. To the nearest tenth, what is the length of the land?
5. Troy plans to equally divide 228 candies by 16 people. Can this be done? Explain your answer.
6. Laura withdrew $15 from the ATM, wrote a check for$46.78, and deposited her paycheck of $678.12. After her deposit she had$1123.45 in her account. How much money did Laura begin with?
7. Will the area of a circle always be an irrational number? Explain your reasoning.
8. When would you use the Commutative Property of Multiplication? Give an example to help illustrate your explanation.

## Texas Instruments Resources

In the CK-12 Texas Instruments Algebra I FlexBook® resource, there are graphing calculator activities designed to supplement the objectives for some of the lessons in this chapter. See http://www.ck12.org/flexr/chapter/9612.

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CK.MAT.ENG.SE.1.Algebra-Basic.2.10