Variables on Both Sides Equations

Front

What is a variable in an equation?

Back

A symbol, often a letter, that represents an unknown value in an equation.

Front

What does it mean to isolate a variable?

Back

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

Front

Solve for x: 8x - 8 = -4x + 16

Back

x = 2

Front

True or False: To solve an equation, we must get variables on one side and constants on the opposite side.

Back

True

Front

Solve: 2(4x-3) - 8 = 4 + 2x

Back

x = 3

Front

What is the first step in solving an equation with variables on both sides?

Back

Combine like terms on both sides of the equation.

Front

Solve for f: f - 4 = 6f + 26

Back

f = -6

Front

What does it mean to combine like terms?

Back

To add or subtract terms that have the same variable raised to the same power.

Front

Solve: 7w + 5 = 3w - 15

Back

w = -5

Front

What is the purpose of balancing an equation?

Back

To ensure that both sides of the equation remain equal after performing operations.