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 reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

What does it mean to solve a word problem involving a two-step equation?

Back

It means translating the situation described in the problem into a mathematical equation and then solving for the unknown variable.

Front

What is the first step in solving a word problem?

Back

The first step is to read the problem carefully and identify the key information and what is being asked.

Front

How do you represent 'a number' in algebra?

Back

In algebra, 'a number' is often represented by a variable, commonly 'x' or 'n'.

Front

What is the equation for Terry's car repair problem?

Back

50h + 150 = 375, where h is the number of hours of labor.

Front

How do you find the total cost in a word problem?

Back

Add fixed costs to variable costs multiplied by the quantity.

Front

What is the equation for Jim's gym membership problem?

Back

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

Front

How do you calculate the remaining amount after expenses?

Back

Subtract the total expenses from the total income.

Front

What is the equation for Jared's lawn mowing earnings?

Back

60 - 39 = 7g, where g is the number of games he can buy.