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 two-step equations?

Back

It means translating a real-world scenario into a mathematical equation and solving for 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

Example of a two-step equation: 2x + 3 = 11. What is x?

Back

x = 4.

Front

What is the equation for Penelope's carnival spending?

Back

.50x + 20 = 35.

Front

How do you represent the total cost of items in a word problem?

Back

By creating an equation that includes all costs and the total amount spent.

Front

What is the equation to find the initial amount of candy shared among friends?

Back

c/4 - 7 = 8.

Front

How do you find the total bill in a repair scenario?

Back

By adding the cost of labor (hourly rate times hours) to the cost of parts.