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' an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation 5x + 200 = 450?

Back

Subtract 200 from both sides to isolate the term with the variable.

Front

If Guillermo spent $450 in total, what does the equation 5x + 200 = 450 represent?

Back

It represents the total cost of reams of paper (5x) plus the cost of the printer ($200) equaling the total amount spent ($450).

Front

In the equation 12x + 14 = 50, what does 'x' represent?

Back

In this equation, 'x' represents the number of CDs Casey can buy.

Front

What is the total cost in the equation 11x + 6 = 39?

Back

The total cost is $39, which includes $11 per hour for lessons and a $6 tip.

Front

How do you set up an equation for Juma's earnings?

Back

You set up the equation as 50 + 12.50x = 400, where 50 is his base salary and 12.50x is his earnings from subscriptions.

Front

What does the equation 331 = 6x + 7 represent in the context of the field trip?

Back

It represents the total number of students (331) being equal to the number of students in buses (6x) plus the 7 students who traveled in cars.

Front

What is the purpose of using variables in equations?

Back

Variables are used to represent unknown quantities that we want to solve for in equations.