WRM DEC 4Two-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 an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone.

Front

What is the first step to solve the equation 5b - 6 = 24?

Back

Add 6 to both sides of the equation.

Front

What is the second step to solve the equation 5b = 30?

Back

Divide both sides by 5.

Front

Write an equation for the following situation: 331 students went on a field trip, 6 buses were filled, and 7 students traveled in cars.

Back

6x + 7 = 331

Front

How do you find the number of students in each bus if 6x + 7 = 331?

Back

Subtract 7 from both sides to get 6x = 324, then divide by 6 to find x.

Front

What is the solution to the equation 6x + 7 = 331?

Back

x = 54, meaning there are 54 students in each bus.

Front

Write an equation for Aliyah's pencil purchase: she had $24, spent some on pencils, and had $10 left.

Back

7x + 10 = 24.

Front

How do you solve for x in the equation 7x + 10 = 24?

Back

Subtract 10 from both sides to get 7x = 14, then divide by 7.

Front

What is the solution to the equation 7x + 10 = 24?

Back

x = 2, meaning each pencil costs $2.