### About Multiplication Property of Equality:

When we solve a linear equation in one variable such as: ax = c, we need to use two properties. The first is known as the multiplicative inverse property. The second is known as the multiplication property of equality. We will use these properties together to gain a solution to our equation.

Test Objectives

- Demonstrate an understanding of the multiplicative inverse property
- Demonstrate the ability to use the multiplication property of equality to solve an equation
- Demonstrate the ability to check the proposed solution for an equation

#1:

Instructions: Solve each equation.

$$a)\hspace{.1em}\frac{1}{5}x=-3$$

$$b)\hspace{.1em}{-}20=2x$$

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#2:

Instructions: Solve each equation.

$$a)\hspace{.1em}{-}7x=0$$

$$b)\hspace{.1em}\frac{1}{12}x=11$$

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#3:

Instructions: Solve each equation.

$$a)\hspace{.1em}\frac{1}{15}z=-9$$

$$b)\hspace{.1em}{-}2x=30$$

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#4:

Instructions: Solve each equation.

$$a)\hspace{.1em}{-}8x=72$$

$$b)\hspace{.1em}7x - 5x=12$$

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#5:

Instructions: Solve each equation.

$$a)\hspace{.1em}\frac{1}{8}p=14$$

$$b)\hspace{.1em}\frac{7}{3}x - \frac{6}{3}x=15$$

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Written Solutions:

#1:

Solutions:

$$a)\hspace{.1em}x=-15$$

$$b)\hspace{.1em}x=-10$$

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#2:

Solutions:

$$a)\hspace{.1em}x=0$$

$$b)\hspace{.1em}x=132$$

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#3:

Solutions:

$$a)\hspace{.1em}z=-135$$

$$b)\hspace{.1em}x=-15$$

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#4:

Solutions:

$$a)\hspace{.1em}x=-9$$

$$b)\hspace{.1em}x=6$$

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#5:

Solutions:

$$a)\hspace{.1em}p=112$$

$$b)\hspace{.1em}x=45$$