Solving Equations With Variables on Both Sides

Front

Solve the equation: 7x - 4 = 3 + 8x

Back

x = -7

Front

Solve for p: 3(p + 2) = -3(p + 2)

Back

p = -2

Front

Solve the equation: 14p - 8 = 22 + 20p

Back

p = -5

Front

The goal of solving a one, two, or multi-step equations is to:

Back

Find the value of the variable

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6

Front

What is a variable in an equation?

Back

A symbol (often a letter) that represents an unknown value.

Front

What does it mean to isolate a variable?

Back

To manipulate an equation so that the variable is on one side and all other terms are on the other.

Front

What is the first step in solving the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to isolate the term with the variable.

Front

What is the principle of equality in solving equations?

Back

If you add, subtract, multiply, or divide both sides of an equation by the same number, the two sides remain equal.

Front

What does it mean if an equation has no solution?

Back

It means there is no value for the variable that makes the equation true.