5.6 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 + 5 = 15?

Back

Subtract 5 from both sides to get 2x = 10.

Front

What is the solution to the equation 3x - 4 = 11?

Back

x = 5.

Front

If a bag of candy is shared equally among 4 friends and each ends up with 8 pieces after giving away 7, how do you set up the equation?

Back

c/4 - 7 = 8, where c is the total number of candies.

Front

What does the equation 7x + 35 = 63 represent in a word problem?

Back

It represents the total cost of Kylie's car bill, where x is the number of hours worked.

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 total amount Jim paid to the gym if he paid a membership fee of $50 and $20 per month for m months?

Back

The total amount is represented by the equation 50 + 20m = total paid.

Front

What is the solution to the equation 50 + 20m = 290?

Back

m = 12.

Front

How do you solve the equation c/4 - 7 = 8 for c?

Back

Add 7 to both sides to get c/4 = 15, then multiply both sides by 4 to find c = 60.