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. It typically involves isolating the variable on one side of the equation.

Front

How do you solve the equation 11x + 6 = 39?

Back

1. Subtract 6 from both sides: 11x = 33. 2. Divide both sides by 11: x = 3.

Front

What does the equation 14h = 112 represent?

Back

It represents the total earnings of Mary, where h is the number of hours worked at a rate of $14 per hour.

Front

How do you solve the equation 3c + 5 = 23?

Back

1. Subtract 5 from both sides: 3c = 18. 2. Divide both sides by 3: c = 6.

Front

What is the total cost equation for Terry's car repair?

Back

The total cost equation is 50h + 150 = 375, where h is the number of hours of labor.

Front

How do you find the number of hours Terry was charged for if his total bill was $375?

Back

1. Subtract 150 from both sides: 50h = 225. 2. Divide both sides by 50: h = 4.5.

Front

What does the equation 2x + 1 = 15 represent in Emma's soccer goals problem?

Back

It represents the relationship between Emma's goals (15) and Nick's goals (x), where Emma scored 1 more than twice Nick's goals.

Front

How do you solve the equation 2x + 1 = 15?

Back

1. Subtract 1 from both sides: 2x = 14. 2. Divide both sides by 2: x = 7.

Front

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

Back

The first step is usually to isolate the term with the variable by performing the inverse operation of the constant term.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.