Two-Step Equations Word Problems

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 reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

What does it mean to 'solve' an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

Write the equation for: 'Jim paid a gym membership fee of $50, plus $20 per month, totaling $290.'

Back

50 + 20m = 290

Front

What is the first step to solve the equation 50 + 20m = 290?

Back

Subtract 50 from both sides: 20m = 240.

Front

What is the final step to solve for m in the equation 20m = 240?

Back

Divide both sides by 20: m = 12.

Front

Translate the phrase 'two times a number plus five equals 15' into an equation.

Back

2x + 5 = 15

Front

What is the first step to solve the equation 2x + 5 = 15?

Back

Subtract 5 from both sides: 2x = 10.

Front

What is the final step to solve for x in the equation 2x = 10?

Back

Divide both sides by 2: x = 5.

Front

Write the equation for: 'Penelope spends $20 to enter the carnival and $0.50 per ride ticket, totaling $35.'

Back

0.50x + 20 = 35