1.1b Solving 2 step equations

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

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

Back

To isolate a variable, perform the inverse operations in the reverse order of operations.

Front

Solve: ⅔x - 5 = 7

Back

x = 18

Front

Solve: 12 - 6y = 24

Back

y = -2

Front

Solve: 7 - 3y = 22

Back

y = -5

Front

Solve: 3x - 7 = 32

Back

x = 13

Front

Solve: 2x - 3 = 1

Back

x = 2

Front

What is the first step to solve the equation 2x - 3 = 1?

Back

Add 3 to both sides of the equation.

Front

What is the second step to solve the equation ⅔x - 5 = 7?

Back

Add 5 to both sides, then multiply by the reciprocal of ⅔.

Front

What does it mean to 'check your solution' in an equation?

Back

To check your solution means to substitute the value back into the original equation to verify it satisfies the equation.