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Unit 2 Integers Operations Study Guide

Total questions: 27

Worksheet time: 14mins

Name
Class
Date
1.

Select the integer that best represents the expression -4 + 17.

a)

21

b)

-21

c)

13

d)

-13

2.

Select the integer that best represents the expression (-3) - (-18).

a)

-21

b)

21

c)

-15

d)

15

3.

Select the integer that best represents the expression 15 - 36.

a)

21

b)

-21

c)

51

d)

-51

4.

Select the integer that best represents the expression (-24) - 33.

a)

-57

b)

57

c)

-9

d)

9

5.

Select the integer that best represents the expression 40 - (-56).

a)

-96

b)

96

c)

-16

d)

16

6.

The temperature at sunrise was -5 degrees. By noon, it had dropped 12 degrees. In the next three hours, it increased 6 degrees. What was the temperature at 3 pm?

a)

23

b)

13

c)

-11

d)

-23

7.

Dee had $500 in her bank account on Sunday. She wrote a $102 check for groceries on Monday. On Tuesday, she went to the ATM machine and took out $30. She got paid on Wednesday and deposited $450. How much is in Dee’s account after her deposit?

a)

$1,082

b)

$818

c)

$122

d)

- $82

8.

Jaime was scuba diving. She was exploring a coral reef 12 feet below the surface of the water when she saw something shiny. She descended another 7 feet to see if she could find the shiny object before ascending 15 feet to explore another section of the reef. What integer represents Jaime’s location from the surface of the water?

a)

-4 feet

b)

-10 feet

c)

-20 feet

d)

-34 feet

9.

Jane and Sarah both dive down from the surface of a pool. Jane first dives down 4 feet, and then dives down 6 more feet. Sarah first dives down 3 feet, and then dives down 6 more feet. Who is further from the surface of the pool?

a)

Jane

b)

Sarah

c)

Jane and Sarah are the same distance from the surface of the pool.

10.

Theo had a balance of –$5 in his savings account. After making a deposit, he has $35 in his account. Which integer can be used to describe the overall change to his account?

a)

$30

b)

$35

c)

$40

d)

- $5

11.

Which expression is equivalent to 4 - 7 - 5?

a)

4 + 7 + 5

b)

5 - 7 - 4

c)

4 - (-7) - (-5)

d)

4 + (-7) + (-5)

12.

Which expression is equivalent to 4 - 9?

a)

9 - 4

b)

4 + 9

c)

4 + (-9)

d)

4 - (-9)

13.

Your checking account has a balance of -5 dollars on Monday. If you deposit $5, what is your new balance?

a)

$10

b)

$5

c)

$0

d)

- $5

e)

- $10

14.

A football team receives the ball on their own 20 yard line. They make a gain of 15 yards in the first play. On what yard line is the ball?

a)

The ball is on the 35 yard line.

b)

The ball is on the 15 yard line.

c)

The ball is on the 5 yard line.

d)

The other team now has the ball.

15.

Last year, the highest temperature in Phoenix, AZ was 110° F. If the lowest temperature was –2° F, which integer represents the difference between the highest and lowest temperatures in Phoenix, AZ last year?

a)

112 degrees

b)

110 degrees

c)

108 degrees

d)

-108 degrees

16.

You and your partner are playing the Integer Game. The score closest to zero wins. Look at the picture of the cards in both hands and determine who is the winner.

a)

I am the winner because my score is -3 and my partner's score is -1. My score is closer to zero.

b)

I am the winner because my score is 17 and my partner's score is 23. My score is closer to zero.

c)

My partner is the winner with a score of -1 which is closer to zero than my score of -3.

d)

My partner is the winner with a score of 1 which is closer to zero than my score of 3.

e)

The scores are tied.

17.

Which expression shows the distance between the two integers shown on the number line?

a)

3 +( -3) = 0

b)

| -3 - 3 | = - 6

c)

| -3 | + 3 = 0

d)

| -3 - 3 | = 6

18.

Examine the given addition problem.


-4 + (-9)


Which statement below is true when using a number line to model the problem?

a)

Begin at -4 and move 9 units to the right to arrive at 5.

b)

Begin at -4 and move 9 units to right to arrive at -13.

c)

Begin at -4 and move 9 units to the left to arrive at -13.

d)

Begin at -4 and move 9 units to the left to arrive at 5.

19.

The expression -4 - 7 can be used to find the distance between which two points?

a)

(-4, 2) and (7, 1)

b)

(3, 4) and (3, 7)

c)

(-4, 1) and (7, 1)

d)

(5, 4) and (-5, -7)

20.

A map of restaurants in a city is shown above. If each square is one city block, how many blocks apart are restaurant B and D?

a)

2 blocks

b)

3 blocks

c)

7 blocks

d)

It is impossible to tell without the coordinates.

21.

The points (-4, 8) and (-4, -1) are plotted on a coordinate plane. Which expression can be used to find the distance between the two points?

a)

| 8 - (-1) |

b)

| 1 - 8 |

c)

| -4 - ( 4) |

d)

| -4 - 4 |

22.

The points (5, -6) and (-2, -6) are plotted on a coordinate plane. What is the distance between the two points, in units?

a)

12 units

b)

8 units

c)

7 units

d)

4 units

23.

The vertices of a quadrilateral drawn on the coordinate plane are

(-6, 6), (4, 6), (2, -5), and (-6, -9).


What is the length of the side joining the vertex in Quadrant II to the vertex in Quadrant III?

a)

15 units

b)

12 units

c)

10 units

d)

2 units

24.

The vertices of a triangle drawn on the coordinate plane are

A(-5, 6) ,B(-5, -2), and C(4, -2).


Which statements below are true?

a)

AB has a length of 8 units.

b)

BC has a length of 5 units.

c)

AB > BC

d)

AB < BC

25.

The vertices of a triangle drawn on the coordinate plane are

A(-5, 6) ,B(-5, -2), and C(4, -2).


Which statement below is true?

a)

The length of AB can be calculated using the expression |6 - (-2)|.

b)

The length of BC can be calculated using the expression |2 - 3|.

c)

The length of AC can be calculated using the expression |-4 - 1|.

26.

What was the change in temperature between the average low in March compared to June?

a)

34 degrees

b)

46 degrees

c)

58 degrees

d)

66 degrees

27.

What was the change in temperature between the average low in November compared with March?

a)

2 degrees

b)

10 degrees

c)

12 degrees

d)

14 degrees