2 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. It typically involves addition or subtraction followed by multiplication or division.

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, eliminate any constant added or subtracted from the variable, then divide or multiply to solve for the variable.

Front

What does the variable represent in a word problem?

Back

In a word problem, the variable typically represents an unknown quantity that you are trying to find, such as the cost of an item or the number of items.

Front

How can you translate a word problem into an equation?

Back

Identify the key information and relationships in the problem, then use mathematical symbols to express these relationships as an equation.

Front

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

Back

The first step is to eliminate any constant term from the variable side of the equation by performing the inverse operation.

Front

If Tom spent $18.00 on a soft drink and 7 candy bars, how do you express the cost of the candy bars?

Back

You express the cost of the candy bars as 7x + 4 = 18, where x is the cost of each candy bar.

Front

In the equation 2.5x + 27 = 44.5, what does x represent?

Back

In this equation, x represents the number of posters Lance bought.

Front

What is the total cost equation for Mallory's pizza and soda?

Back

The total cost equation is 10.95x + 12.57 = 89.22, where x is the number of pizzas.

Front

How do you set up an equation for Jim's gym membership?

Back

The equation is 50 + 20m = 290, where m is the number of months Jim has paid for.

Front

What is the equation to find the number of students on each bus if 331 students went on a field trip?

Back

The equation is 6x + 7 = 331, where x is the number of students on each bus.