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 solve an equation?

Back

To find the value of the variable that makes the equation true.

Front

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

Back

Get all variable terms on one side of the equation and constant terms on the other side.

Front

Solve the equation: 3y - 8 = 7y

Back

y = -4

Front

Solve the equation: -5k + 10 = -2k - 14

Back

k = 8

Front

What is the distributive property?

Back

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

Front

Solve the equation: 12x - 15 = 3(2x + 3)

Back

x = 4

Front

What does it mean if an equation has no solution?

Back

It means there is no value for the variable that can satisfy the equation.

Front

What does it mean if an equation has infinite solutions?

Back

It means any value for the variable will satisfy the equation.

Front

Solve the equation: 10x + 9 = 4x - 9

Back

x = -3