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 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 2x = 8?

Back

Divide both sides by 2 to find x = 4.

Front

How can you represent a word problem as a two-step equation?

Back

Identify the unknown, assign a variable, and translate the words into a mathematical equation.

Front

In the problem 'A printer prints 10 pages per minute and has 35 pages already. If it printed 115 pages total, how do you set up the equation?

Back

Let x be the number of minutes. The equation is 10x + 35 = 115.

Front

What does the term 'consecutive integers' mean?

Back

Consecutive integers are numbers that follow each other in order, such as 1, 2, 3 or 4, 5, 6.

Front

How do you express the sum of three consecutive integers?

Back

If n is the first integer, the sum is n + (n + 1) + (n + 2).

Front

What is the total cost equation for a service that charges $11 per hour plus a $6 tip for a total of $39?

Back

The equation is 11x + 6 = 39, where x is the number of hours.

Front

How do you find the number of games Jared can buy after spending money?

Back

Subtract the amount spent from the total money, then divide by the cost of each game.