U4 L1 Equations: Symbolize and Solve Equations
1. Amy and Stephanie were playing a number game. Amy picked a number
and told Stephanie that if she added 8 to the number and multiplied the sum
by 2, it would equal 6. Which equation could Stephanie use to find the
number, x?
A. 2(x + 8) = 6
B. 2 + (x + 8) = 6
C. 8(x + 2) = 6
D. 2(x) + 8 = 6
2. A self-serve car wash charges $5.33 to use its facilities, plus an additional
$0.64 for each minute the customer is at the self-serve car wash. If Tiffany
was at the car wash for 6 minutes, how much was she charged?
A. $3.84
B. $9.17
C. $11.33
D. $5.97
3. Samantha donated 8 T-shirts to charity and has 14 left. Which equation
could be used to find x, the number of T-shirts Samantha had originally?
A. x + 8 = 14
B. x - 14 = 8
C. x + 14 = -8
D. x - 8 = -14
4. Ronnie had a certain number of video games, v. One-half of those games
were role-playing games. He sold six role-playing games to reach a grand
total of seven role-playing games.
What was the original number of video games Ronnie had?
A. 24
B. 13
C. 26
D. 0
5. The perimeter of a rectangle is 48 inches. If the width of the rectangle is
10 inches, what is the length?
A. 14 inches
B. 24 inches
C. 28 inches
D. 38 inches
6. At their going-out-of-business sale, Bill's Bikes sold 31 bikes and had 55
left. Which equation could be used to find x, the number of bikes the store
had originally?
A. x - 55 = 31
B. x + 55 = -31
C. x + 31 = 55
D. x - 31 = -55
7. Ed is on a road trip. He has already traveled 245 miles and is driving at a
rate of 70 miles per hour. Which equation could be used to find how many
hours, x, Ed has left in his road trip if he is traveling 642 total miles?
A. 245x + 642 = 70
B. 70x + 245 = 642
C. 70x + 642 = 245
D. 245x + 70 = 642
8. Susan's math teacher assigned x homework problems on Monday. On
Tuesday, she assigned 14 more problems. Over the two days, a total of 24
homework problems were assigned. Which equation could be used to find x,
the number of problems assigned on Monday?
A. 24 + x = 14
B. 14x = 24
C. x + 14 = 24
D. x - 14 = 24
9. Lana cuts 2 pieces for every 7 inches from a dowel for a craft project, for
a total of 7 pieces.
What is the length of the dowel initially?
A.
B.
C.
D.
10. Michelle made a bead necklace that was 15 inches long. The length of
the necklace, in inches, is equal to 5 added to one-eighth the number of
beads, b.
How many beads did Michelle use for her necklace?
A. 18
B. 40
C. 800
D. 80
11. Courtney sold 40 cantaloupes at the farmers' market and had 26 left.
Which equation could be used to find x, the number of cantaloupes Courtney
had originally?
A. x - 26 = 40
B. x + 26 = -40
C. x - 40 = -26
D. x + 40 = 26
12. Tim's phone service charges $25.98 plus an additional $0.16 for each
text message sent per month. If Tim's phone bill was $29.98, which
equation could be used to find how many text messages, x, Tim sent last
month?
A. $0.16x - $25.98 = $29.98
B. $0.16x + $25.98 = $29.98
C. $25.98x + $0.16 = $29.98
D. $25.98x - $0.16 = $29.98
13. The perimeter of a rectangle is 40 inches. If the length of the rectangle
is 12 inches, which equation could be used to find the width, x?
A. x + 12 = 40
B. 2(x + 12) = 40
C. x + 2(12) = 40
D. 12(x + 2) = 40
14. Mathis made gift bags for the students in his class for his birthday. Each
gift bag contains 3 pieces of candy. If he brought 84 pieces of candy total,
how many gift bags did Mathis give out?
3x = 84
A. 81
B. 31
C. 17
D. 28
15. The city is planning to build a new park. The park will be in the shape of
a parallelogram with a perimeter of 552 yards. If the length of the park is
174 yards, what is the width of the park?
A. 378 yards
B. 204 yards
C. 102 yards
D. 3 yards
16. The width of a rectangle is 21 centimeters. If the perimeter of the
rectangle is 94 centimeters, what is the length?
A. 73 cm
B. 26 cm
C. 52 cm
D. 4 cm
17. Tim and Tom are trying to earn money to buy a new game system over
a 3-month period. Tim saved $45.85 each month. If they need a total of
$214.26 to buy the game system, how much does Tom need to earn each of
the 3 months in order to buy the game system?
A. $137.55
B. $25.57
C. $76.71
D. $168.41
18. Clark is removing dirt from a rectangular section of his backyard to build
a water feature. The section is 2.1 meters long and has an area of 7.14
square meters.
2.1x = 7.14
What is the width of the section of Clark's backyard?
A. 2.3 meters
B. 5.04 meters
C. 4.4 meters
D. 3.4 meters
19. A rhombus has a perimeter of 576 feet. What is the length of each side
of the rhombus?
A. 24 feet
B. 288 feet
C. 12 feet
D. 144 feet
20. At the beginning of the week, Paloma opened a new box of 225 coffee
creamers. Sixty-six coffee creamers were used during the week. Which
equation could be used to find x, the number of coffee creamers left at the
end of the week?
A. 66x = 225
B. x - 66 = 225
C. 66 - 225 = x
D. x + 66 = 225
21. Lina is making a spreadsheet for an assignment. The spreadsheet, when
completed, will be 209 lines long, and Lina has already completed 69 lines.
x + 69 = 209
How many lines does Lina have left to complete?
A. 244
B. 278
C. 71
D. 140
22. Last year, the school library had a total of x books. Over the summer,
the library acquired another 31 books and now has a total of 2,765 books.
Which equation could be used to find x, the number of books the library had
last year?
A. x - 31 = 2,765
B. x + 31 = 2,765
C. 31x = 2,765
D. 2,765 + x = 31
23. Gavin is building a fence. He needs to put a post every
feet. If a new
segment of the fence has 10 new posts, using the last post from the
previous section of fence as a starting point, how long is the new segment of
fence?
A.
B.
C.
D.
24. Last month, Marcus borrowed $92 from his roommate. So far, he has
paid him back $22. Which equation could be used to find x, the amount of
money he still owes his roommate?
A. x + $22 = $92
B. x - $22 = $92
C. $22x = $92
D. $92 + x = $22
25. Keira used
had
yards of fabric to make a quilt. After making the quilt, she
yards of the fabric left.
How many yards of fabric did Keira have before making the quilt?
A.
B.
C.
D.
26. Mary spent a total of $320.92 for a party. She spent $200.52 on food,
plus an additional $30.10 for each hour of the party. How long was the
party?
A. 4 hours
B. 3 hours
C. 5 hours
D. 6 hours
27. Mitchell received a stipend at the beginning of the semester to buy
textbooks. During the semester, he spent $430.51 on textbooks. He had
$141.74 of the stipend left at the end of the semester.
x - $430.51 = $141.74
How much was Mitchell's stipend?
A. $713.99
B. $572.25
C. $359.64
D. $288.77
28. Riley is saving up to buy a new television. She needs a total of
$1,085.83. Riley has saved $200.44 already and earns $80.49 per week at
her job. How many weeks does Riley need to work to save enough money to
buy the new television?
A. 10
B. 9
C. 11
D. 12
29. Lo is leaving from work today at 3:45 p.m. She has errands to run
before she meets her friends for dinner at 8 p.m. If it takes Lo of an hour
to run each errand, how many errands does she have time to run between
work and dinner?
A. 4
B. 5
C. 3
D. 2
30. A painter charges $15.70 per hour, plus an additional amount for the
supplies. If he made $143.19 on a job where he worked 4 hours, how much
did the supplies cost?
A. $35.80
B. $80.39
C. $90.39
D. $62.80
31. Tabitha was shooting free throws in gym class. She completed 5 of the
shots, which was half of 5 more than Joan completed.
What is the number of free throws, n, that Joan completed?
A. 15
B. 0
C. 10
D. 5
32. Marty's class collected $16.00 in a school-wide penny collection contest.
If Tommy's class subtracted $3.00 from the amount they collected, x, and
then multiplied the difference by 2, they would have the same amount of
money as Marty's class.
2(x - $3.00)= $16.00
How much money did Tommy's class collect?
A. $3.00
B. $11.00
C. $14.00
D. $17.00