MTH0011B Math Foundations II Unit 1 Answer Key Operations and Real Numbers

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

(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) 4+ 16 12. = 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

(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

(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?

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. Choose the answer that displays this decimal in lowest fraction form of 8.05.

1 8 20

1 Answer: 8 20

(1 point) a 34. Evaluate this expression. Choose the answer in lowest terms. a = 16 and b = 32 b

1 Answer: 2

(1 point) 2(a + 3) 35. Evaluate this expression. a = -3 and b = 2 b

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?

3 3 hours 5

2 3 hours 3

3 3 hours 4

3 Answer: 3 4hours (1 point) 5 3 37. + = 8 12

Answer:

(1 point) 2 38. 5- 3 = 3

Answer: 1

(1 point) 2 x 39. = x = 3 6

Answer: 4

(1 point) 5 3 40. � 8 4

Answer:

Your Score ___ of 40