Variables on Both Sides Extra Practice

Front

What is a variable in an equation?

Back

A symbol used to represent an unknown value in mathematical expressions or equations.

Front

What does it mean to solve an equation?

Back

Finding the value(s) of the variable(s) that make the equation true.

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 the equation: 4x - 5x + 9 = 5x - 9

Back

x = 3

Front

What is the distributive property?

Back

A property that states a(b + c) = ab + ac, used to simplify expressions.

Front

Solve: 5y + 34 = -2(-7y + 1)

Back

y = 4

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 side.

Front

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

Back

x = 3

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

Solve the equation: -8x - 8 + 3(x - 2) = -3x + 2

Back

x = -8