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MTH0011B |Math Foundations II | Unit 1 Answer Key| Operations and Real Numbers
Name:
Date:
Answer Key
Unit 1 Assignment
Award points for answers as shown below. Starter feedback for correct and incorrect answers is in red. Use or adapt
the feedback in this Answer Key as you grade each student paper. If you have suggestions for improving this key, send
them to [email protected].
(1 point)
1. Write the opposite of this integer. + 245
Answer: -245
(1 point)
2. Find the absolute value. 7  3
Answer: 10
(1 point)
3.
2  6 
Answer: 12
(1 point)
4.
4  2 
Answer: 2
(1 point)
5. -13 + (-17) =
Answer: -30
(1 point)
6. (-5 + 3) + (-12) =
Answer: -14
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MTH0011B |Math Foundations II | Unit 1 Answer Key| Operations and Real Numbers
(1 point)
7. -29 − (-5) =
Answer: -34
(1 point)
8. 18 − (-4) =
Answer: 22
(1 point)
9. On Saturday, Kelly borrowed $15 from her sister. The next day, she paid back $4. On Tuesday, she
borrowed $9 more. How much money does Kelly now owe her sister?
Answer: $20
(1 point)
10. (8)(-2)(-3) =
Answer: 48
(1 point)
11. 105  15 
Answer: -7
(1 point)
12.
4  16

4
Answer: 5
(1 point)
13. Solve for z. -3z + 8 = -1
Answer: 3
(1 point)
14. The water level in a tank decreased 8 inches in 4 minutes. The tank drains at a steady rate. What is the
change in the water level each minute?
Answer: 2 inches per minute
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MTH0011B |Math Foundations II | Unit 1 Answer Key| Operations and Real Numbers
(1 point)
15. What type of number is the result of multiplying a negative number by a negative number?
Answer: positive
(1 point)
16. Kaylie had $1250 in her savings account. She withdrew $82 each month for 8 months in order to pay for a
summer vacation. How much did Kaylie have in her account at the end of the 8 months?
Answer: $594
(1 point)
17. Solve for x.
3x + 2 = y; y = 2
Answer: 0
(1 point)
18. Solve for y.
y = 2x + (-2); x = -3
Answer: -8
(1 point)
19. The point at which the x-axis and the y-axis intersect on a coordinate graph is called the point of origin.
true
false
Answer: true
(1 point)
20. Round 365,986.091 to the nearest whole number.
Answer: 365,986
(1 point)
21. The astronomy club plans to wash cars to raise money for a new telescope. With tax, the telescope costs
$327.19. Estimate how many cars will have to be washed to cover the entire cost of the telescope if the
club charges $5.00 per car
Answer: 65 cars
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MTH0011B |Math Foundations II | Unit 1 Answer Key| Operations and Real Numbers
(1 point)
22. Todd rounded 1.73629 to the nearest thousandth. He wrote 1.736. Was he correct?
Answer: yes
(1 point)
23. (20 − 12)6
− 5(5 − 3) =
Answer: 38
(1 point)
24. 2(24 + 9) + 2(15 − 8) =
Answer: 80
(1 point)
25. Which property is illustrated by (6.3x)y = 6.3(xy) ?
commutative property of multiplication
associative property of multiplication
multiplicative identity
Answer: associative property of multiplication
(1 point)
26. Which property is illustrated by (7.3 + 5.1) + x = 7.3 + (5.1 + x) ?
additive property
commutative property of addition
associative property of addition
Answer: associative property of addition
(1 point)
27. What property is illustrated by 5  2  4  5  2  5  4 ?
commutative property of multiplication
associative property of multiplication
distributive property
Answer: distributive property
(1 point)
28. A rectangular prism has a length x + 2, width 2, height 4, and volume 24. What is the length?
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Page 4 of 7
MTH0011B |Math Foundations II | Unit 1 Answer Key| Operations and Real Numbers
Answer: 3
(1 point)
29. Anna has $50.00 in the bank. She adds $5.00 in the first week, $10.00 in the second week, and $15.00 in
the third week. At this rate, how much money will she have in the bank at the end of 6 weeks?
Answer: $155.00
(1 point)
30. The Burns have 2 children. The sum of their ages is 23 and the product is 132. How old are the children?
Answer: 11 and 12
(1 point)
31. If you start with a number, add 5, then multiply by 7, the result is 133. What was the original number?
Answer: 14
(1 point)
32. Dusty produces 22 items in 15 minutes. Alan produces 18 items in 12 minutes. Which worker is more
productive?
Answer: Alan
(1 point)
33.
Answer: 8
Choose the answer that displays this decimal in lowest fraction form of 8.05.
8
1
2
8
1
4
8
1
20
1
20
(1 point)
34. Evaluate this expression. Choose the answer in lowest terms.
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a
b
a = 16 and b = 32
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MTH0011B |Math Foundations II | Unit 1 Answer Key| Operations and Real Numbers
1
8
4
8
1
2
Answer:
1
2
(1 point)
35. Evaluate this expression.
2 a  3
b
a = -3 and b = 2
Answer: 0
(1 point)
36. The Wilson family took 3 hours and 45 minutes to travel from their home to their cousins' home
for Thanksgiving. Which answer correctly shows their travel time as a fraction in simplest form?
Answer: 3
3
3
hours
5
3
2
hours
3
3
3
hours
4
3
hours
4
(1 point)
37.
5 3


8 12
7
Answer: 8
(1 point)
38. 5  3
2

3
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MTH0011B |Math Foundations II | Unit 1 Answer Key| Operations and Real Numbers
1
Answer: 13
(1 point)
39.
2 x
x=

3 6
Answer: 4
(1 point)
40.
5 3
 
8 4
5
Answer: 6
Your Score
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___ of 40
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