Free Printable Integer Study Guide

1.

What is the distance between $-12$ and $6$ on the number line?

(a)

2.

Sally's house is 8 blocks east (to the right) of main street. Her best friend, Ramona, lives on the same street. Ramona lives 14 blocks west (to the left) of main street.

The distance from Sally's house to Ramona's house would be how many blocks?

(a)

3.

What is the value of $8 + (-3) + 15 - (-40)$ ?

(a)

4.

Simplify $-5(-1)^3$ .

(a)

5.

Study the number line shown.

Match the question with the correct letter on the number line.

$x - (-5)$

a)

a

b)

b

c)

c

d)

d

e)

e

6.

Study the number line shown.

Match the question with the correct letter on the number line.

$x+(-4)$

a)

a

b)

b

c)

c

d)

d

e)

e

7.

Study the number line shown.

Match the question with the correct letter on the number line.

$x+15$

a)

a

b)

b

c)

c

d)

d

e)

e

8.

Which expression is equivalent to $-2 + 9$ ?

a)

$9 - 2$

b)

$9 + 2$

9.

Which expression is equivalent to $2 - (-9)$ ?

a)

$9 - 2$

b)

$9 + 2$

10.

Which expression is equivalent to $9 + (-2)$ ?

a)

$9 - 2$

b)

$9 + 2$

11.

Which expression is equivalent to $9 - (-2)$ ?

a)

$9 - 2$

b)

$9 + 2$

12.

Match the correct value with each expression. What is the value of $\tfrac{1}{5} + \tfrac{4}{5}$ ?

a)

$\tfrac{5}{12}$

b)

$\tfrac{1}{2}$

c)

$1$

d)

$\tfrac{11}{12}$

13.

Match the correct value with each expression. What is the value of $\tfrac{2}{3} + (-\tfrac{1}{4})$ ?

a)

$\tfrac{5}{12}$

b)

$0$

c)

$1$

d)

$-1$

14.

Match the correct value with each expression. What is the value of $-2\tfrac{1}{3} - 2\tfrac{2}{3}$ ?

a)

$-1$

b)

$-5$

c)

$0$

d)

$-4\tfrac{1}{3}$

15.

Enter the correct value in the space provided. Avery biked $5\tfrac{1}{2}$ miles on Tuesday, 4 miles on Wednesday, and $7\tfrac{1}{4}$ miles on Saturday.

If she hopes to bike a total of 25 miles for the week, how many miles should Avery bike on Sunday?

(a)

16.

Evaluate the expression if $x=-8$ , $y=7$ , and $z=-11$ .

Find the value of $x - z - y$ .

(a)

17.

Riley received a $50 gift card for his birthday. He uses it to pay for a game subscription that is 9.95 per month. What rational number represents the amount his gift card balance will change after 4 months? Choose the correct statement.

a)

Decrease by $39.80

b)

Decrease by $9.95

c)

Increase by $39.80

d)

Increase by $50

18.

Evaluate. Which expression has the least value?

a)

$-\tfrac{2}{3}-\left(-\tfrac{1}{2}\right)$

b)

$-\tfrac{2}{3}-\tfrac{1}{2}$

c)

$\tfrac{2}{3}-\tfrac{1}{2}$

d)

$\tfrac{2}{3}-\left(-\tfrac{1}{2}\right)$

19.

Which situations describe a final value of 0?

Select all that apply.

a)

A balloon rose to a height of 700 feet. Then it dropped 475 feet and then dropped another 225 feet.

b)

The temperature at 10 a.m. was 2°F. During the next 3 hours it rose 8 degrees only to drop by 10 degrees.

c)

Chelsea's bank account had $400 at the beginning of the week. She deposited $200, then withdrew $550 the next day. Wednesday she withdrew $150.

d)

After the first round in a game, Percy's score was -13. he then scored 6 points in the next round, and an additional 7 points in the third round.

20.

Which situation can be modeled by the number line shown.

Choose all that apply.

a)

Jennifer opened a new savings account on Thursday with $60. Then she made a deposit of $40 on Friday, and a withdrawal of $80 on Saturday. The number line represents her new account balance.

b)

Mae started running 60 meters east of town. She ran 40 meters west, then she turned around and ran 80 meters east. The number line represents her distance from town.

c)

Karla processed 60 boxes from shipping on Monday, 40 on Tuesday, and 80 on Wednesday. The number line represents the total number of boxes she processed on these three days.

d)

The temperature at noon in Veronica's city was 60°F. By 8 p.m. it dropped 40°F. By noon the next day it had increased 80°F. The number line represents the change in the temperature during that time.

21.

A hawk is perched in a tree 50 feet above sea level. Directly below the hawk, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level.

Select all the statements below that describe the distance between the animals with mathematical accuracy.

a)

The difference between the elevation of the hawk and the trout would be subtraction, so we could use the expression $50-23$

to find how far apart they are.

b)

The hawk and the trout are on opposite sides of zero, so we could add their absolute values and use the expression $|50|+|-23|$

to find how far apart they are.

c)

The difference between the elevation of the pelican and the trout would be subtraction, so we could use the expression $17-(-23)$

to find how far apart they are.

d)

The pelican and the trout are on opposite sides of zero, so we could subtract their absolute values and use the expressions

$|17|-|23|$

to find how far apart they are.

22.

Samuel graphed several numbers on the number line shown.

Some of the numbers were graphed incorrectly.

Select all the the numbers that he did not graph correctly.

a)

$-3\tfrac{1}{2}$

b)

$-1.2$

c)

20%

d)

1.7

e)

30%

Integer Study Guide

Total questions: 22

Worksheet time: 3hrs 52mins

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