5.2: 2-Step Equations

Front

What is a 2-step equation?

Back

A 2-step equation is an algebraic equation that requires two operations to solve for the variable. It typically involves addition or subtraction followed by multiplication or division.

Front

How do you isolate a variable in a 2-step equation?

Back

To isolate a variable, perform inverse operations in the reverse order of operations. First, eliminate any constant added or subtracted from the variable, then divide or multiply to solve for the variable.

Front

Solve for y: 7y + 7 = -28

Back

y = -5

Front

Solve for y: -3y + 5 = 32

Back

y = -9

Front

Solve for x: 5x - 7 = 13

Back

x = 4

Front

Solve for y: -3y + 5 = 35

Back

y = -10

Front

Solve for x: -7 + 7x = 14

Back

x = 3

Front

What is the first step to solve the equation 5x - 7 = 13?

Back

Add 7 to both sides of the equation to eliminate the constant term.

Front

What does it mean to perform inverse operations?

Back

Inverse operations are pairs of operations that undo each other, such as addition and subtraction or multiplication and division.

Front

What is the solution to the equation -3y + 5 = 35?

Back

y = -10