Checkpoint 2: One-Variable Equations

Ms. Jacobs is a photographer. For each job she charges $325 for the first hour she works and $50 for each additional hour. Ms. Jacob's charges a total of $800 for a job on Friday. Which equation can be used to determine h, the number of additional hours she worked on this job?

• 325h + 50 = 800

• 325 + h + 50 = 800

• 325h = 800 + 50

• 325 + 50h = 800

An equation in one variable is shown.

4x + 12 = -4

Which number line represents the solution for the equation?

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Which situation can be represented by this equation?

6 + 0.50x = 26

• A carnival charges $6 to park, plus $0.50 per ride ticket. How many carnival rides can a person at the carnival if they spent a total of $26 at the carnival?

• A person downloaded an app for their phone that cost $6, plus some songs that cost $0.50 each. How much did the person pay for the app and songs if they download 26 songs?

• A dog-walking service charges $6 for each hour walking, plus $0.50 for each dog. How many hours could a dog be walked for $26?

• Sara earns $6.50 an hour babysitting. How long will Sara need to babysit in order to earn $26?

Which situation is best represented by this equation?

18 = 114 - 6b

• Amy sold bags of brownies at a bake sale. There were 18 brownies in each bag. She sold a total of 114 brownies. After the bake sale, Amy had 6 individual brownies left. What is b, the total number of bags of brownies Amy sold at the bake sale?

• Amy baked 114 brownies for a bake sale. She sold bags of brownies with each bag containing 18 brownies. After the bake sale, she had 6 individual brownies left. What is b, the total number of bags of brownies Amy sold at the bake sale?

• Amy sold bags of brownies at a bake sale. Each bag contained 6 brownies. She sold a total of 114 brownies and had 18 individual brownies left after the bake sale. What is b, the total number of bags of brownies Amy sold at the bake sale?

• Amy baked 114 brownies for a bake sale. She sold bags of brownies with each bag containing 6 brownies. After the bake sale, she had 18 individual brownies left. What is b, the total number of bags of brownies Amy sold at the bake sale?

What is the solution to this equation?

-10x + 3 = 63

The model represents an equation.

What is the solution for the equation?

Which equation is true when the value of x is 3.5?

Solve the equation algebraically to confirm your solution.

5x - 3 = -17