Solving 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.

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

The first step is to subtract 3 from both sides of the equation.

Front

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

Back

x = 5.

Front

In the word problem, 'A taxi charges $3 plus $1.50 for each mile traveled. If the total charge is $30, how do you set up the equation?

Back

The equation is 1.50m + 3 = 30, where m is the number of miles.

Front

How do you solve the equation: 1.50m + 3 = 30?

Back

Subtract 3 from both sides to get 1.50m = 27, then divide by 1.50 to find m.

Front

What does it mean to 'translate' a word problem into an equation?

Back

Translating a word problem into an equation means converting the words and relationships described into mathematical expressions and equations.

Front

What is the total cost equation for Terry's car repair if he was charged $50 per hour plus $150 for parts?

Back

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

Front

How do you find the number of hours Terry was charged for his car repair?

Back

Subtract 150 from both sides to get 50h = 225, then divide by 50 to find h.

Front

What is the equation for Scott's car repair charge if he charges $35 per car plus $15 per hour?

Back

The equation is 35 + 15h = 110, where h is the number of hours.