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Week 6 Checkpoint Complete this checkpoint...

Week 6 Checkpoint

Complete this checkpoint using Microsoft Word and equation editor (when needed). Post as an attachment to your assignments section.

Part 1: Provide your answers to the following problems. Please show your work.

1. Compute the value of the expression: | -6 + -8| + |-9|

2. Compute the value of the expression: –|–4| – |–10 – 2|

3. Give an example of a number (n) that makes –n a positive number.

4. Give an example to show that if x and y are opposites then x + y = 0.

5. Write 2 equations that you could use to solve the following scenario: In January the high temperature in Minneapolis is 7º. The low for that night is -15º. How much does the temperature need to decrease?

For questions 6 – 11, solve the following problems. To receive full credit, you must also show (or describe) the model requested.

6. Use counters to model the sum -8 + (-2)

7. Use counters to model the product -2 x 3

8. Use a number line to model the sum 5 + (-8).

9. Use a charged field to model the difference 7 – (-2).

10. Use a number line to model the difference: -8 + 3.

11. Use the missing factor method to find the quotient: -40 ÷ -5

12. Compute (-4)2 and –(4)2. Are these answers the same? Explain why/why not?

13. A football team gained 47 yards on one play, lost 32 on the next and gained 3 yards on the third play. If they have already gained 112 yards during the first half, what was the total yardage gained in the first half?

14. For each of the following, tell if the property is always true, sometimes true or always false. Explain your reasoning by substituting numbers in for x, y and z.

a. (x + y) ÷ z = x ÷ z + y ÷ z

b. x÷ (y + z) = x ÷ y + x ÷ z

c. If x< y then x2 < y2

15. Order the integers from smallest to largest: 4, -2, 0, -5, -7, -4, 1

16. Give an example to show that the following properties are false in the set of integers.

a. The commutative property for subtraction

b. The commutative property for division

Complete this checkpoint using Microsoft Word and equation editor (when needed). Post as an attachment to your assignments section.

Part 1: Provide your answers to the following problems. Please show your work.

1. Compute the value of the expression: | -6 + -8| + |-9|

2. Compute the value of the expression: –|–4| – |–10 – 2|

3. Give an example of a number (n) that makes –n a positive number.

4. Give an example to show that if x and y are opposites then x + y = 0.

5. Write 2 equations that you could use to solve the following scenario: In January the high temperature in Minneapolis is 7º. The low for that night is -15º. How much does the temperature need to decrease?

For questions 6 – 11, solve the following problems. To receive full credit, you must also show (or describe) the model requested.

6. Use counters to model the sum -8 + (-2)

7. Use counters to model the product -2 x 3

8. Use a number line to model the sum 5 + (-8).

9. Use a charged field to model the difference 7 – (-2).

10. Use a number line to model the difference: -8 + 3.

11. Use the missing factor method to find the quotient: -40 ÷ -5

12. Compute (-4)2 and –(4)2. Are these answers the same? Explain why/why not?

13. A football team gained 47 yards on one play, lost 32 on the next and gained 3 yards on the third play. If they have already gained 112 yards during the first half, what was the total yardage gained in the first half?

14. For each of the following, tell if the property is always true, sometimes true or always false. Explain your reasoning by substituting numbers in for x, y and z.

a. (x + y) ÷ z = x ÷ z + y ÷ z

b. x÷ (y + z) = x ÷ y + x ÷ z

c. If x< y then x2 < y2

15. Order the integers from smallest to largest: 4, -2, 0, -5, -7, -4, 1

16. Give an example to show that the following properties are false in the set of integers.

a. The commutative property for subtraction

b. The commutative property for division

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