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 the reverse order of how they are applied.

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: 'Scott charges $35 for each car plus $7 per hour, and Kylie's car bill was $63.'

Back

7x + 35 = 63

Front

How do you find the value of x in the equation 7x + 35 = 63?

Back

Subtract 35 from both sides to get 7x = 28, then divide by 7 to find x = 4.

Front

What is the first step to solve the equation 0.50x + 20 = 35?

Back

Subtract 20 from both sides to isolate the term with x.

Front

If Penelope spends $35 at the carnival, how many tickets did she buy if each ticket costs $0.50?

Back

She bought 30 tickets.

Front

Write the equation for: 'Two times a number plus five equals 15.'

Back

2x + 5 = 15

Front

What is the solution to the equation 2x + 5 = 15?

Back

Subtract 5 from both sides to get 2x = 10, then divide by 2 to find x = 5.

Front

What is the purpose of writing an equation from a word problem?

Back

Writing an equation helps to translate a real-world scenario into a mathematical form that can be solved.