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 is the first step to solve the equation: 2x + 3 = 11?

Back

Subtract 3 from both sides to get 2x = 8.

Front

What is the solution to the equation: 3x - 5 = 10?

Back

x = 5.

Front

If an equation is in the form ax + b = c, what does 'a' represent?

Back

'a' represents the coefficient of the variable x.

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

How can you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

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

What is the equation for Emma's soccer goals problem?

Back

2x + 1 = 15, where x is the number of Nick's goals.

Front

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

Back

7x + 35 = 63, where x is the number of hours worked.