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. It typically involves addition or subtraction followed by multiplication or division.

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 eliminate any constant added or subtracted from the variable, then divide or multiply to solve for the variable.

Front

What is the first step to solve the equation 1.50x + 3 = 30?

Back

Subtract 3 from both sides to isolate the term with the variable: 1.50x = 27.

Front

What is the second step to solve the equation 1.50x = 27?

Back

Divide both sides by 1.50 to find the value of x: x = 18.

Front

Write a two-step equation for the scenario: A taxi charges $3 plus $1.50 for each mile traveled, and the total charge is $30.

Back

1.50x + 3 = 30.

Front

If Penelope spends $35 at the carnival, including a $20 admission fee, how do you represent the cost of ride tickets?

Back

0.50x + 20 = 35, where x is the number of tickets.

Front

How do you find the total cost in a two-step equation?

Back

Add the fixed costs to the variable costs, then set the equation equal to the total amount spent.

Front

What does the variable x represent in the equation 0.50x + 20 = 35?

Back

x represents the number of ride tickets Penelope bought.

Front

In the equation 7x + 35 = 63, what does x represent?

Back

x represents the number of hours Scott worked on the car.

Front

How do you check your solution for a two-step equation?

Back

Substitute the value of the variable back into the original equation to see if both sides are equal.