PRACTICE UNIT TEST - Integers Multiple Choice

PRACTICE UNIT TEST - Integers

Multiple Choice

Identify the choice that best completes the statement or answers the question. 1. Let one white tile represent +1 and one black tile represent 1.

Write the integer modelled by this set of tiles.

a. +7

b. ?1

c. +3

d. +1

2. Let one white tile represent +1 and one black tile represent -1.

You have 10 black tiles. What tiles do you need to model 0?

a. 9 black

b. 10 white

c. 9 white

d. 10 black

3. Let one white tile represent +1 and one black tile represent 1. What sum does this set of tiles model? Write the addition equation.

a. (+4) + (+3) = +3 b. (-4) + (+3) = ?1

c. (+3) + (+4) = +7 d. (-3) + (+4) = +1

4. Let one white tile represent +1 and one black tile represent -1.

What sum is modelled by 6 white tiles and 2 black tiles?

a. +7

b. +8

c. ?4

d. +4

5. Add. (-8) + (+12) a. -20

b. +20

c. +4

d. 4

6. The temperature is 15?C and drops 8?C.

Write an addition equation to calculate the final temperature. What is the final temperature?

a. (+15) + (+8) = +9; 9?C

c. (+8) + (+15) = +23; 23?C

b. (+8) + (-15) = ?7; ?7?C

d. (+15) + (-8) = +7; 7?C

7. Let one black tile represent -1. Write the subtraction equation modelled by this diagram.

a. (-14) - ( 6) = -8 b. (+14) - (+6) = +8

c. (-14) - (?6) = +8 d. (-14) - (+6) = -8

8. Bryan gets on an elevator at the 35th floor. The elevator goes down 17 floors then up 9 floors.

At what floor does it finally stop?

a. 9

b. 27

c. 61

d. 43

9. Rewrite using addition.

(+7) - (-6)

a. (+6) + (-7)

b. (+7) + (+6)

c. (+6) + (?1)

d. (+7) + (-6)

10. Subtract.

a. ?31

b. +25

c. ?25

d. +31

Short Answer

11. Let one white tile represent +1 and one black tile represent -1. a) How many zero pairs are in this set of tiles? b) Write the integer modelled by this set of tiles.

12. Name all pairs of integers that have a sum of +2.

+3

+9

?6

?7

?1

+8

+11

?9

13. Write the addition equation modelled by the number line.

?3 ?2 ?1 0 1 2 3 4 5 6 7 8 9 10 11

14. Write the opposite of each integer. a) +9

b) ?6

c) ?256

15. Name all pairs of integers that have a difference of +2.

+3

?3

?6

?5

+5

?4

?10

?12

16. Write the subtraction equation modelled by the number line.

?13 ?12 ?11 ?10 ?9 ?8 ?7 ?6 ?5 ?4 ?3 ?2 ?1

0

1

2

3

17. Rewrite using addition to find each difference. a) (?4) ? (+5)

b) (?5) ? (?6)

Problem

18. Let one white tile represent +1 and one black tile represent ?1. Each box contains the written number of black and white tiles. What is the integer represented by the tiles in the 3 boxes combined?

3 black 2 white

6 black 7 white

9 black 3 white

19. Add. (+6) + (?2) + (+8)

20. Find all sets of 3 integers that have a sum of -2.

?3 ?6 ?4

+1 +9 ?3

?7 +4 +3

21. The table shows the scores for teams of students playing a series of board games.

Game 1

Game 2

Game 3

Team 1

?10

5

4

Team 2

?3

2

8

a) Determine the total score for each team.

b) Which team had the higher score?

22. Alicia owns a coffee shop. On Wednesday she made a loss of $11 and on Thursday a loss of $15. On Friday she made a profit of $13 and on Saturday a profit of $14. Did she make a profit or loss on the four days? Write an addition equation.

23. Which expression has the greater value? Explain your reasoning. a) (+7) ? (?2)

b) (?7) ? (+2)

24. Write the next 2 terms in each pattern. a) ?6, ?12, ?18, ?24,... b) ?13, ?17, ?21, ?25,... c) ?1, ?4, ?7, ?10,...

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