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 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

Write a two-step equation for the following situation: A number is multiplied by 2, then 5 is added, resulting in 15.

Back

2x + 5 = 15

Front

What is the first step to solve the equation 2x + 5 = 15?

Back

Subtract 5 from both sides: 2x = 10.

Front

What is the second step to solve the equation 2x = 10?

Back

Divide both sides by 2: x = 5.

Front

Write an equation for the following problem: Jill sold half of her comic books and then got sixteen more. She now has 36.

Back

x/2 + 16 = 36

Front

How do you check if your solution to a two-step 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 the following situation: Aliyah had $24 to spend on seven pencils. After buying them she had $10.

Back

10 + 7x = 24

Front

What does the variable represent in the equation 10 + 7x = 24?

Back

The variable x represents the cost of each pencil.