<h2>Solving Equations</h2>
To solve linear equations, we must perform inverse operations on both sides of the equal sign to <em>cancel values out</em>.
- If something is being added to x, subtract it from both sides.
- If something is being subtracted from x, add it on both sides.
- Same with multiplication and division. If x is being divided, multiply. If x is being multiplied, divide.
We perform inverse operations to<em> combine like terms</em>. This means to get x to one side and everything else on the other.
<h2>Solving the Questions</h2><h3>Question 1</h3>

Because 7 is being added to x, subtract it from both sides:

Because x is being multiplied by 5, divide both sides by 5:

Therefore.
.
<h3>Question 2</h3>

Here, we can group all the x values on the left side of the equation. Subtract 5x from both sides:

To isolate x, subtract 4 from both sides:

Divide both sides by 2:

Therefore,
.
The volume V of a prism can be found by:
The volume of a rectangular prism can be found through:

Where l is the length, w is the width, and h is the height.
The height can be found by rearranging the equation to:

Take the volume (1374.28) and divide it by the length times the width (9.4*17.2=161.68).
1374.28/161.68=
8.5 inches is the height of the prism.
- two consecutive integers

<u>-4 and -3</u>
Answer is B. 4,096
I encountered this problem before. This is a trick question.
84 is not really the number 84. It is 8 raised to the 4th power.
So 8⁴ is equal to 4,096.
8 x 8 x 8 x 8 = 4,096
8 x 8 = 64
64 x 8 = 512
512 x 8 = 4,096