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 translating a real-world scenario into a mathematical equation and finding the value of the unknown.

Front

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

Back

The first step is 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: A bag of candy was shared equally among 4 friends, each gave away 7 pieces, and ended up with 8 pieces.

Back

c/4 - 7 = 8

Front

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

Back

50 + 20m = 290

Front

If Scott charges $35 for each car plus $7 per hour, and Kylie's car bill was $63, what is the equation?

Back

35 + 7h = 63

Front

How do you find the total number of items in a word problem?

Back

Add the known quantities and set them equal to the total.

Front

What is the equation for the number of students in each bus if 331 students went on a field trip, with 6 buses filled and 7 students in cars?

Back

331 = 6x + 7