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Evaluate: Equations and Problem Situations

Total questions: 4

Worksheet time: 20mins

Name
Class
Date
1.

Which problem situation matches the equation below?

4x + 8 = 128

a)

Bill drove 8 more miles than David. Together they drove 128 miles. What is x, the number of miles driven by David?

b)

Maria jogs 4 miles and bikes 8 miles daily to train for a marathon. If she covers a total distance of 128 mile, what is x, the number of days she trained?

c)

Joshua bought 8 concert tickets for himself and his friends to see their favorite rock band. He also had to pay a service charge of $4. If he spent a total of $128, what is x, the cost of a concert ticket?

d)

Eight chaperones will accompany 4 classes to the museum. If each class has the same number of students and a total of 128 people go to the museum, what is x, the number of students in 1 class?

2.

Rafael needs a total of $4.25 in quarters or a coin-operated car wash. He already has $1.75. Which equation can be used to find q, the number of additional quarters Rafael needs in order to have enough money for the car wash?

a)

4.25 = 0.25q + 1.75

b)

1.75 = 4.25q + 0.25

c)

1.75 = 0.25q + 4.25

d)

4.25 = 1.75q + 0.25

3.

Which situation is best represented by the equation 3x + 5 = 288? [TEK 7.10C]

a)

Ms. Jones makes 3 equal stacks of cafeteria trays. Then she finds 5 more trays underneath a table. If there are 288 trays in all, what is x, the number of trays to the stacks. What is x, the total number of trays in all?

b)

Ms. Jones maks 3 stacks, each with 288 cafeteria trays. Then she adds 5 more trays to the stacks. What is x, the total number of trays in all?

c)

Ms. Jones stacks three cafeteria trays. Then she adds five more trays in a separate stack. there are 288 more trays left to stack. what is x, the number of trays in all?

d)

Ms. Jones has to stack 288 cafeteria trays in all. She broke 5 trays and still has 3 trays left to stack. What is x, the number of trays Ms. Jones has already stacked?

4.

Mr. Johnson is a plumber. For each job he charges $125 for the first hour he works and $75 for each additional hour. Mr. Johnson charged a total of $425 for a job on Saturday. Which equation can be used to determine h, the number of additional hours she worked on this job? [TEKS 7.10A]

a)

125h + 75 = 425

b)

125 + h + 75 = 425

c)

125 + 75h = 425

d)

125h = 425 + 75