Equations Pre-Test
1. The model below represents the equation 3x + 6 = 15.
What is the first step in finding the value of x?
A. Divide the marbles equally among the 3 cups B. Add 15 marbles to each side of the model
C. Add 6 marbles to each side of the model D. Subtract 6 marbles from each side
2. The equation 3x + 3 = x + 9 is modeled below. What value of x makes the
equation true?
A. x = 3
B. x = 6
C. x = 12
D. x = 4
3. The model represents the equation 8x + 4 = 10x. What is the value of x?
A. x = 4
B. x = 3
C. x = 2
D. x = 1
4. The model represents the equation 4 = 2y. What is the value of y?
A. y = 2
B. y = 4
C. y = 6
D. y = 8
5. The model represents the equation 3x = 9. What is the value of x?
A. 9
B. 6
C. 3
D. 1
6. The model represents the equation 4x + 3 = 7. What is the value of x?
A. x = 4
B. x = 7
C. x = 10
D. x = 1
7. Which problem situation matches the equation below?
15x = 120
A. Chang collected 120 foreign postage stamps last year. He gave 15% of them to friends. What is x, the number of stamps Chang did not give away?
B. Ellen exercised 120 minutes each day for 15 days last month. What is x, the total number of hours Ellen exercised last month?
C. Demetria drove a total of 120 miles this week. She drove 15 miles more this week than she drove last week. What is x, the number of miles Demetria drove last week?
D. Adam charges $15 per hour for labor to repair lawn mowers. What is x, the number of hours Adam worked if he charged $120 for labor?
8. Which problem situation matches the equation x – 4.72 = 5.28?
A. Steve’s lunch cost $4.72. He received $5.28 in change when he paid the bill. What is x, the amount of money he gave the cashier?
B. Yvette cycled 4.72 kilometers in a race. The winning cyclist’s time was 5.28 seconds faster than Yvette’s. What is x, the time in seconds it took Yvette to finish the race?
C. Janice and Mary measured the wingspans of butterflies in science class. Janice’s butterfly had a wingspan of 4.72 centimeters. Mary’s butterfly had a wingspan of 5.28 centimeters. What is x, the average length of a butterfly’s wingspan?
D. Mrs. Hernandez paid $4.72 for a jar of iced-tea mix that was originally priced at $5.28. What is x, the amount of money that Mrs. Hernandez saved altogether?
9. Which problem situation below could be correctly represented by the equation x 3 = 18?
A. Three friends have 18 markers that they want to split up evenly. What is x, the number of markers each friend will get?
B. Becky has $18 to spend on blank computer disks. Each package of disks costs $3. What is x, the amount of money left after Becky buys 1 package of disks?
C. A boys’ summer camp has an end-of-season tournament. All the boys are divided into 3 teams. If each team has 18 members, what is x, the number of boys at the camp?
D. Peter is 3 years older than Mark. If Peter is 18 years old, what is x, Mark’s age?
10. Which problem situation matches the equation x + 23.50 = 25?
A. Delia bought a dress priced at $25. What is x, the amount of tax that was added to the price of the dress?
B. Gary has made 4 fund-raiser sales of $4.50, $6.75, $3.50, and 48.75. What is x, the amount of sales that he must make in order to reach his goal of $25?
C. Linda bought 5 tickets to a school play for $25. What is x, the cost of each ticket?
D. Vince spent $23.50 on art supplies for a project. What is x, the amount of change he should have received from a $50 bill?