Solving Equations Variable on Both Sides of Equation Fractions

In order to solve an equation, we must get the variables on one side of the equation, and the constants on the other side.

• False

• True

The objective when solving an equation is to....

• isolate the variable.

• check the solution.

• guess and check.

• Combine Like Terms.

10x = 90

• x = 80

• x = 100

• x = 10

• x = 9

Solve the equation below:

• k = 152

• k = 176

• k = 5

• k = 27

-12 = -⅖t

• -30

• 30

• 4 ⅘

How do we solve this equation?

• Multiply by the Reciprocal of 3/5 on Both Sides

• Multiply by the Reciprocal of 3/4 on Both Sides

• Subtract 3/5 to both sides

• Subtract the Reciprocal of 3/5 on Both Sides

<sub>x = ³/4

Write your answer as a mixed number in simplest form.</sub>

• x = 1 ¹/₂

• x = ³/₈

• x = ³/₂

• x = 1 ²/₄

Solve the equation:
-5x = 25

• x = 20

• x = -20

• x = -5

• x = 5

Solve the equation:
3x - x + 2 = 4(2x - 1)

• All real numbers

• x = 1

• x = -1

• No real solution

What is the first step in solving the following equation?
3 = m/2

• Add 2 to both sides of the equal sign.

• Subtract 2 to both sides of the equal sign.

• Multiply 2 to both sides of the equal sign.

• Divide 2 to both sides of the equal sign.