A1A Solving Variables on Both Sides

Front

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

Back

Isolate one variable on one side of the equation.

Front

Solve: -11 + 3(b + 5) = 7

Back

b = 1

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is alone on one side.

Front

Solve: 3(x - 1) = 2x + 9

Back

x = 12

Front

What is the distributive property?

Back

a(b + c) = ab + ac, used to multiply a single term by two or more terms inside a set of parentheses.

Front

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

Back

y = 4

Front

What is a solution to an equation?

Back

A value that makes the equation true when substituted for the variable.

Front

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

Back

x = -6

Front

What is the purpose of combining like terms in an equation?

Back

To simplify the equation and make it easier to solve.

Front

Solve: 4x - 5x + 9 = 5x - 9

Back

x = 3