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Worksheets

Integers & Graphing

Total questions: 64

Worksheet time: 1hrs 20mins

Name
Class
Date
1.

Grady gained 25 yards on the play.

a)

-25

b)

0

c)

25

d)

-20

2.

The running back ran for a loss of 2 yards.

a)

-2

b)

0

c)

2

d)

-22

3.

Express as an integer:

at sea level

a)

0

b)

-0

c)

1

d)

-10

4.
Seventy feet above sea level
a)
positive
b)
negative
5.
A pay cut of 120 dollars
a)
positive
b)
negative
6.
A number GREATER than 0.
a)
positive number
b)
negative number
c)
integer
d)
signed number
7.
A number LESS than 0.
a)
positive number
b)
negative number
c)
integer
d)
signed number
8.
What is the integer represented by "A" on the number line?
a)
-2
b)
3
c)
4
d)
0
9.
What is the integer represented by "B" on the number line?
a)
-2
b)
0
c)
3
d)
4
10.
What is the integer represented by "C" on the number line?
a)
-2
b)
0
c)
3
d)
4
11.
Express an integer: a debt of $50
a)
50
b)
-50
12.
Which integer represents the situation? You deposit $50 into your bank account.
a)
50
b)
-50
c)
5
d)
-5
13.
The elevation of the Dead Sea is about 1,310 feet below sea level.  Which integer represents this elevation?
a)
-1,310
b)
-131
c)
131
d)
1,310
14.
Which situation could the integer -50 represent?
a)
An increase of $50 in a bank account
b)
The temperature on a warm spring day
c)
The distance driven on the way to the beach
d)
A decrease of 50 employees
15.
Express an integer: a plane descended 3000 ft
a)
3000
b)
300
c)
-300
d)
-3000
16.

What is an integer?

a)

A whole number

b)

A fraction

c)

A negative number only

d)

Negative and positive whole number and 0

17.

On Friday, the temperature was -16 degrees. Which number line best represents -16 degrees?

a)
b)
c)
d)
18.

On Friday, the temperature was -16 degrees. Which number line best represents -16 degrees?

a)
b)
c)
d)
19.

What is the definition of absolute value?

a)

The distance a number is to zero

b)

A positive number

c)

A number that has a value with a different sign

20.

Evaluate: |-12|

a)

12

b)

-12

c)

0

d)

1.2

21.

Compare: |13| ____ |-14|

a)

<

b)

>

c)

=

22.
Compare these Integers using the symbols:
<  >   =
3  ____  -6
a)
<
b)
>
c)
=
23.

Order these numbers from least to greatest, -1, 0, 9, -7

a)

-7, 0, 9, -1

b)

0, -7, 9, -1

c)

-7, -1, 0, 9

d)

-1, 0, -7, 9

24.

What is the correct order of these integers from least to greatest, 4, -4, -3, 7?

a)

-3, -4, 4, 7

b)

-4, -3, 4, 7

c)

-4, 4, -3 7

d)

7, 4, -3, -4

25.

Identify the OPPOSITE of the integer 6

a)

6

b)

-6

c)

0

d)

-0.6

26.

Evaluate the expression

∣6∣−∣−2∣\left|6\right|-\left|-2\right|  

a)

-4

b)

4

c)

8

d)

-8

27.

Identify the OPPOSITE of the OPPOSITE of the integer -9

a)

-9

b)

9

c)

-0.9

d)

0.9

28.

The table shows the heights of four students are rock climbing. The positive numbers represent locations ABOVE sea level and the negative numbers represent locations BELOW sea level. Which student is FARTHEST from sea level?

a)

Allie

b)

Derek

c)

Lydia

d)

Christopher

29.

Which points are located in quadrant II?

a)

A

b)

B

c)

C

d)

D

e)

E

30.

Which expression is NOT represented by -30?

a)

30 degrees below zero

b)

30 feet below sea level

c)

A loss of 30 points

d)

Walking 30 miles

31.

Emma is graphing the ordered pair (3, 5) Starting at the origin, what does she need to do?

a)

Move 3 units up and 5 units to the right and draw a dot at that point

 

b)

Move 3 units up and 3 units to the right and draw a dot at that point.

c)

Move 3 units to the right 5 units up and draw a dot at that point

d)

Move 5 units to the right 3 units up and draw a dot at that point

32.

The coordinates for the origin in the coordinate plane are________?

a)

(1,1)

b)

(0,0)

c)

(0,1)

d)

(1,0)

33.
The __ - axis is the vertical (up and down) axis on the coordinate plane.
a)
X
b)
Y
c)
Z
d)
None of the above
34.

What is the ordered pair for point B?

a)

(-4, 6)

b)

(6,-4)

c)

(6, 4)

d)

(4, -6)

35.

What is the ordered pair for point D?

a)

(-5,0)

b)

(0,-5)

c)

(0,5)

d)

(-5, 0)

36.
What is the ordered pair for the hat?
a)
(-1,-3)
b)
(3,1)
c)
(-3,-1) 
d)
(1,3) 
37.
What is the letter is a the the ordered pair (0, 3)?
a)
A
b)
M
c)
R
d)
L
38.
When plotting the point, (-4, 3), which describes the movement along the x-axis and y-axis in the correct order? 
a)
4 units right then 3 units up
b)
4 units down then 3 units left
c)
4 units left then 3 units up
d)
4 units up then 4 units right
39.
If you were to plot the point (4, -12) what would be the correct method?
a)
Up 4, left 12
b)
Right 4, up 12
c)
Down 4, left 12
d)
Right 4, down 12
40.
The x-axis is _______?
a)
vertical
b)
diagonal
c)
criss-cross
d)
horizontal
41.

What is the definition of absolute value?

a)

The distance a number is to zero

b)

A positive number

c)

A number that has a value with a different sign

42.

Order from Least to Greatest

|-24|, -23, -18, |15|

a)

-23, -18, |15|, |-24|

b)

|15|, -18, -23, |-24|

c)

-18, -23, |15|, |-24|

d)

|-24|, -24, -23. -18, |15|

43.

Order from least to greatest:

-58, |-60|, -55, -61

a)

-61, -58, -55, |-60|

b)

-61, |-60|, -58, -55

c)

-55, -58, |-60|, -61

d)

-55, -58, -61, |-60|

44.
The coordinates of a point are (y, x)
a)
True
b)
False
45.
Name the quadrant where POINT C is located. 
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)

Quadrant IV

46.

In which quadrant is letter P?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

47.

Which letter matches the coordinate (4, -6)?

a)

C

b)

Z

c)

K

d)

None of the above

48.

In which quadrant is the following point?

(-3, -12)

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

49.

Which number is the greatest? 

54   ,  1825  ,    1.3\frac{5}{4}\ \ \ ,\ \ 1\frac{8}{25}\ \ ,\ \ \ \ 1.3  

a)

54\frac{5}{4}  

b)

18251\frac{8}{25}  

c)

1.31.3  

50.

Which of the following inequalities are correct? Choose all answers that apply.



Some of the numbers involved are shown on the number line above. 

a)

−18>−12-18>-12  

b)

−12<18-12<18  

c)

12>−1812>-18  

51.

Which number is the smallest?


19  ,   −0.1    ,  −212\frac{1}{9}\ \ ,\ \ \ -0.1\ \ \ \ ,\ \ -\frac{2}{12}  

a)

19\frac{1}{9}  

b)

−0.1-0.1  

c)

−212-\frac{2}{12}  

52.
Fill in the blank with the correct sign >, < , or =
-3/4 ________ -4/5
a)
>
b)
<
c)
=
53.
Compare.
1.75        1¾
a)
<
b)
>
c)
=
54.
Fill in the blank with the correct sign >, < , or =
-3.4  ________ -2.5
a)
>
b)
<
c)
=
55.
When you're comparing numbers using the number line, the number to the farthest left is the...
a)
Smallest
b)
Greatest
56.

Which statement is correct?

a)

−1.5 < −2

b)

−2.5 < −3

c)

−3.5 < −2.5

57.

What is  29\frac{2}{9}   as a decimal?

a)

0.29292

b)

0.2

c)

0.222...

d)

0.29

58.

Points G, and H are reflected over which axis?

a)

x-axis

b)

y-axis

c)

x and y-axes

59.

If you reflect the point D ( 5, -1) over the y-axis, what is the reflected point?

a)

D' ( -5, -1)

b)

D' ( 5, -1)

c)

D' ( -5, 1)

d)

D' ( 5, 1)

60.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
61.

What would be the coordinates of point D after being reflected across the y- axis. (Click on the picture to make bigger)

a)

(-3, -3)

b)

(3, 3)

c)

(3, -3)

d)

(-3, 3)

62.

What would be the coordinates of point E after being reflected across the x- axis. (Click on the picture to make bigger)

a)

(-2, 0)

b)

(2, 0)

c)

(0, -2)

d)

(0, 2)

63.
Points G, H, and I are plotted on the coordinate grid.  How many units are between points G and H?
a)
9 units
b)
14 units
c)
13 units
d)
12 units
64.
What is the length of the shortest side of the rectangle?
a)
3 units
b)
4 units
c)
9 units
d)
2 units