5.6 Two-Step Equation 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 a word problem involving equations?

Back

It means to translate the scenario described in the problem into a mathematical equation and find the value of the unknown.

Front

What is the first step in solving a two-step equation?

Back

The first step is usually to eliminate any constant added or subtracted from the variable.

Front

What is the second step in solving a two-step equation?

Back

The second step is to divide or multiply to solve for the variable.

Front

Translate this scenario into an equation: Scott charges $35 for each car plus $7 per hour. Kylie's car bill was $63.

Back

7x + 35 = 63, where x is the number of hours.

Front

If Kylie's car bill was $63 and Scott charges $35 for each car plus $7 per hour, how many hours did he work?

Back

4 hours.

Front

Translate this scenario into an equation: A bag of candy was shared equally among 4 friends. Each friend gave away 7 pieces of candy and ended up with 8 pieces.

Back

c/4 - 7 = 8, where c is the total number of candies.

Front

How many pieces of candy were in the bag if each friend ended up with 8 pieces after giving away 7?

Back

60 pieces.

Front

Translate this scenario into an equation: Jim paid a gym membership fee of $50, plus $20 per month, and has paid a total of $290.

Back

20m + 50 = 290, where m is the number of months.