Two 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.

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 the equation 7x + 35 = 63 represent?

Back

It represents a scenario where a total cost of $63 includes a fixed charge of $35 and a variable charge of $7 per hour for x hours.

Front

How do you solve the equation 7x + 35 = 63?

Back

Subtract 35 from both sides to get 7x = 28, then divide by 7 to find x = 4.

Front

What is the first step to solve the equation 10m + 35 = 115?

Back

Subtract 35 from both sides to isolate the term with m.

Front

What does the equation 10 + 7x = 24 represent?

Back

It represents a situation where $24 is the total amount spent after buying x pencils at a cost of $7 each, starting with $10.

Front

How do you find the cost of each pencil in the equation 10 + 7x = 24?

Back

Subtract 10 from both sides to get 7x = 14, then divide by 7 to find x = 2.

Front

What does the equation 6x + 7 = 331 represent?

Back

It represents a scenario where 331 students are divided among 6 buses, with 7 students traveling by car.

Front

How do you solve the equation 6x + 7 = 331?

Back

Subtract 7 from both sides to get 6x = 324, then divide by 6 to find x = 54.

Front

What is the total number of students if 331 students went on a field trip?

Back

331 is the total number of students participating in the field trip.