Free Printable Understanding Coordinates and Integers

1.

Which quadrant is the point $(-4, 5)$ located in on the coordinate plane?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

2.

What is the absolute value of $-12$ ?

a)

$-12$

b)

$0$

c)

$12$

d)

$-1$

3.

Which of the following is a perfect square?

a)

$50$

b)

$81$

c)

$99$

d)

$120$

4.

Which point is located on the $y$ -axis?

a)

$(0, 7)$

b)

$(7, 0)$

c)

$(3, 3)$

d)

$(-2, 5)$

5.

Which symbol correctly compares $-8$ and $-3$ ?

a)

$-8 > -3$

b)

$-8 < -3$

c)

$-8 = -3$

d)

$-8 \geq -3$

6.

What is the distance from the point $(4, -2)$ to the $x$ -axis?

a)

$2$ units

b)

$4$ units

c)

$-2$ units

d)

$6$ units

7.

Which of the following numbers is equal to its own absolute value?

a)

$-7$

b)

$0$

c)

$-1$

d)

$-10$

8.

Which of the following is NOT a perfect square?

a)

$100$

b)

$225$

c)

$144$

d)

$200$

9.

What is the location of the point $(0, -6)$ ?

a)

On the $x$ -axis

b)

On the $y$ -axis

c)

Quadrant III

d)

Quadrant IV

10.

Which of the following correctly compares $5$ and $-9$ ?

a)

$5 < -9$

b)

$5 > -9$

c)

$5 = -9$

d)

$5 \leq -9$

11.

What is the distance from the point $(-3, 7)$ to the $y$ -axis?

a)

$3$ units

b)

$7$ units

c)

$-3$ units

d)

$10$ units

12.

What is the absolute value of $0$ ?

a)

$0$

b)

$1$

c)

$-1$

d)

$10$

13.

Which of the following numbers is a perfect square?

a)

$121$

b)

$130$

c)

$150$

d)

$200$

14.

Which quadrant is the point $(6, -2)$ located in?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

15.

Which symbol correctly compares $-15$ and $-20$ ?

a)

$-15 < -20$

b)

$-15 > -20$

c)

$-15 = -20$

d)

$-15 \leq -20$

16.

What is the distance between the points $(5, 3)$ and $(5, -4)$ ?

a)

$2$ units

b)

$7$ units

c)

$8$ units

d)

$9$ units

17.

What is the absolute value of $-25$ ?

a)

$-25$

b)

$0$

c)

$25$

d)

$-1$

18.

Which of the following is NOT a perfect square?

a)

$256$

b)

$324$

c)

$361$

d)

$350$

19.

Which point is located in Quadrant III?

a)

$(4, 5)$

b)

$(-3, -2)$

c)

$(-5, 2)$

d)

$(0, -6)$

20.

Which symbol correctly compares $0$ and $-1$ ?

a)

$0 < -1$

b)

$0 > -1$

c)

$0 = -1$

d)

$0 \leq -1$

21.

What is the distance from the point $(-8, 0)$ to the $y$ -axis?

a)

$0$ units

b)

$8$ units

c)

$-8$ units

d)

$16$ units

22.

What is the absolute value of $17$ ?

a)

$-17$

b)

$0$

c)

$17$

d)

$1$

23.

Which of the following numbers is a perfect square?

a)

$289$

b)

$300$

c)

$350$

d)

$399$

24.

Which point is located on the $x$ -axis?

a)

$(0, 5)$

b)

$(5, 0)$

c)

$(-3, 2)$

d)

$(2, -3)$

25.

Which symbol correctly compares $-4$ and $-4$ ?

a)

$-4 < -4$

b)

$-4 > -4$

c)

$-4 = -4$

d)

$-4 \geq -4$

26.

What is the distance between the points $(-2, 6)$ and $(-2, -1)$ ?

a)

$5$ units

b)

$6$ units

c)

$7$ units

d)

$8$ units

27.

Which of the following is NOT a perfect square?

a)

$400$

b)

$361$

c)

$324$

d)

$390$

28.

Which quadrant is the point $(-7, -9)$ located in?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

29.

What is the distance from the point $(0, -12)$ to the $x$ -axis?

a)

$0$ units

b)

$12$ units

c)

$-12$ units

d)

$24$ units

30.

Which of the following points is located in Quadrant II?

a)

$(0, 8)$

b)

$(-2, -7)$

c)

$(-6, 4)$

d)

$(5, -3)$

31.

What is the absolute value of $-12$ ?

a)

$0$

b)

$-12$

c)

$-1$

d)

$12$

32.

Which of the following is NOT a perfect square?

a)

$210$

b)

$225$

c)

$196$

d)

$169$

33.

Use the graph to answer the following question.

What is the distance between Shannon Ranch and Starbucks?

34.

The width of a square is 20 inches. Therefore, the area of the square is (a)

Choose from the below words

$400\ square\ inches$

80 square inches

40 square inches

200 square inches

35.

These numbers are perfect squares. What is the missing number?

4, 9, 16, 25, (a) , 49, 64. . .

Choose from the below words

36

49

32

42

48

28

36.

The distance of a number from 0 is called its (a) .

Choose from the below words

absolute value

opposite

speed

direction

37.

Match the following

a)

$\left|-3\right|$

1.

3

b)

$\left|-6\right|$

2.

6

c)

$\left|-\frac{7}{10}\right|$

3.

7/10

d)

$\left|5\right|$

4.

5

e)

$\left|-10\right|$

5.

10

38.

Label the quadrants for this coordinate graph.

a)

I

b)

II

c)

III

d)

IV

1

2

3

4

1)

2)

3)

4)

39.

Identify what quadrant is each point in.

a)

Point A

1.

Q2

b)

Point B

2.

Q1

c)

Point C

3.

Q3

d)

Point D

4.

Q4

e)

Point E

5.

None

40.

Match the following points into the correct quadrant.

a)(-2, -3)

b)(3, 1)

c)(5,-3)

d)(-2, 1)

1

2

3

4

1)

2)

3)

4)

41.

Compare the integers:
-19 _ -9

(a)

Choose from the below words

<

>

=

42.

Compare using <, >, =.

-18 and -|-16|

-18 (a) -|-16|

Choose from the below words

<

>

=

43.

Plot point (2, 1) and (0,0)

44.

Compare integers using <, >, = -5 ___ -4

a)

<

b)

>

c)

=

45.

Compare the two integers. 2______-6. What sign should be used to describe the two integers?

a)

$\le$

b)

$<$

c)

$\ge$

d)

$>$

46.

Which of the following is true when comparing the integers -5 and 1?

a)

-5 > 1

b)

-5 < 1

c)

-5 = 1

d)

-5 ≥ 1

47.

Which answer has the integers in order from least to greatest?

a)

− 9, -5, -3, 0, 4, 3

b)

− 9, -5, -3, 0, 3, 4

c)

− 5, -9, -3, 0, 4, 3

d)

3, 4, 0, -3, -5, -9

48.

Express an integer: a debt of $50

a)

50

b)

-50

49.

Which is not an integer?

a)

-5

b)

12

c)

0

d)

-1/2

50.

Express an integer: a withdrawal of $100

a)

100

b)

-100

51.

Which integer represents a gain of 10 yards on a football play?

a)

+10

b)

-10

52.

Put the integers in ascending order (least to greatest)

a)

-42

b)

-25

c)

-2

d)

0

e)

5

1)

2)

3)

4)

5)

53.

What would the coldest temperature be?

a)

-5

b)

-4

c)

-50

d)

0

54.

7 + (-6) =

a)

-1

b)

1

c)

13

d)

-13

55.

Which is not negative?

a)

Withdrawal

b)

Loss

c)

Fine

d)

Bonus

56.

-9(-5)

a)

-14

b)

-45

c)

45

d)

14

57.

-9(3)

a)

-6

b)

-27

c)

27

d)

6

58.

A negative times a negative equals

a)

one

b)

a negative answer

c)

zero

d)

a positive answer

59.

a)

5

b)

6

c)

-5

d)

-6

60.

$-24\ \div\ 12$

a)

$2$

b)

$-2$

c)

$36$

d)

$-36$

61.

The temperature dropped $3\degree$ every hour for 7 hours. What was the total change in temperature?

a)

$-21\degree$

b)

$-10\degree$

c)

$21\degree$

d)

$10\degree$

62.

-2 + 10

a)

8

b)

-8

c)

12

d)

-12

63.

– 5 + ( - 4)

a)

1

b)

-1

c)

9

d)

-9

64.

-7 - (-2) = ?

a)

9

b)

-9

c)

-5

d)

5

65.

Evaluate:
−19+14

a)

−5

b)

5

c)

−33

d)

33

66.

The temperature changed from 3 degrees below zero at midnight to 7 degrees below zero at 2 a.m. How much did the temperature decrease?

a)

5 degrees

b)

4 degrees

c)

10 degrees

d)

it stayed the same

67.

Which equation represents the 2-color counters shown in the image?

a)

-4 + 5 = -1

b)

4 -5 = -1

c)

4 + (-5)= -9

d)

-5 - 4 = -9

68.

Which addition equation matches the problem modeled below?

a)

-2 + -4 = -6

b)

2 + -4 = -2

c)

4 + 2 = 6

69.

a)

A

b)

B

c)

C

d)

D

70.

a)

4 + 2 = 6

b)

-4 + 2 = -2

c)

4 + (-2) = 2

d)

-4 + (-2) = -6

71.

a)

-5 - 4 = -1

b)

-5 + 1 = -1

c)

-5 + 4 = -1

d)

5 + (-4) = 1

72.

a)

-4 + 5

b)

4 + 5

c)

4 + (-5)

d)

-4 + (-5)

73.

a)

-5 + 3 = -2

b)

5 + (-3) = 2

c)

5 + 3 = 8

d)

-5 + (-3) = -8

74.

a)

9 + 4 = 13

b)

9 + (-4) = 5

c)

-9 + 4 = -5

d)

-9 + (-4) = -13

75.

a)

4 + 3 = 7

b)

4 + (-3) = 1

c)

-4 + 3 = -1

d)

-4 + (-3) = -7

76.

a)

-15 ÷ (-3) = -5

b)

15 ÷ 3 = 5

c)

-15 ÷ 3 = 5

d)

-15 ÷ 3 = -5

77.

Which number sentence is represented by this model?

a)

3 × (-2) = 6

b)

3 × (-2) = -6

c)

-6 ÷ -3 = 2

d)

-6 ÷ 3 = -2

78.

Which number sentence is represented by this model?

a)

-5 x 3 = -15

b)

5 x (-3) = 15

c)

5 x (-3) = -15

d)

-5 x (-3) = -15

79.

a)

-6 - (-2) = -4

b)

6 + -2 = 4

c)

4 + 2 = 6

d)

12-8=4

80.

When you add opposites, what do you get?

a)

0

b)

A negative number

c)

A positive number

d)

You cannot add opposites

81.

a)

A

b)

B

c)

C

d)

D

82.

What is the expression that matches this situation?
Robbie went parasailing. His sail reached 141 feet. It descended 22 feet before staying in the same place for 10 minutes. What was the height that it stayed in for 10 minutes?

a)

163 feet

b)

119 feet

c)

-191 feet

d)

19 feet

83.

A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position.

a)

-9 + (-22) = -13

b)

9 + (-22) = 13

c)

9 + (-22) = -13

d)

none

84.

A diver was 40 feet below the surface of the water. A fisherman was casting off a dock right above the diver that was 12 feet above the surface of the water. How far apart are the diver and the fisherman?

a)

28 feet

b)

-28 feet

c)

52 feet

d)

-52 feet

85.

The temperature drops 2°F each hour. What is the total change in temperature after 12 hours?

a)

-24

b)

26

c)

24

d)

-26

86.

What is a zero pair?

a)

Two negatives

b)

Two positives

c)

One negative, one positive

87.

When adding negative numbers on a number line, you move to the ____________.

a)

Right

b)

Left

88.

When adding positive numbers on a number line, you move to the ____________.

a)

Right

b)

Left

89.

Which counter set models the expression -4 + 5?

a)

b)

c)

d)

90.

Which integer represents the situation? You deposit $50 into your bank account.

a)

$50

b)

-$50

c)

$5

d)

-$5

91.

If you are at SEA LEVEL, you are at
______on a number line.

a)

Positive

b)

Negative

c)

Zero

92.

Deposit $8 dollars

a)

Positive

b)

Negative

c)

Zero

93.

a)

A

b)

B

c)

C

d)

D

94.

a)

A

b)

B

c)

C

d)

D

95.

Solve:

a)

A

b)

B

c)

C

d)

D

96.

√ 16

a)

8

b)

3

c)

4

d)

6

97.

17² =

a)

34

b)

289

c)

225

d)

324

98.

500

a)

Is a perfect square.

b)

Is not a perfect square.

99.

What would be the side length if you used 49 tiles to create a perfect square?

a)

7 tiles

b)

14 tiles

c)

4 tiles wide and 9 tiles long

d)

3.5 tiles

100.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

101.

Which is equivalent to 5 x 5 x 5 x 5

a)

5³

b)

5⁴

c)

4⁵

d)

5⁵

102.

Which is equivalent to 3^{4 ?}

a)

27

b)

9

c)

81

d)

12

103.

How would you represent 8⁶ ?

a)

8 x 6

b)

8 x 8 x 6

c)

8 x 8 x 8 x 8 x 8 x 8

d)

6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

104.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

d)

not here

105.

Which number is the EXPONENT?
4^{2 =}16

a)

4

b)

2

c)

16

d)

not here

106.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

107.

What is the exponent form for the factors
5 x 5 x 5?

a)

3⁵

b)

5³

108.

What operation do you use with exponents?

a)

addition

b)

subtraction

c)

multiplication

d)

division

109.

Which is NOT another way to write 100,000?

a)

1 x 10⁵

b)

10 x 10 x 10 x 10 x 10

c)

10⁵

d)

10 + 10 + 10 +10 + 10

110.

What is 1000 written in exponential form?

a)

10³

b)

10²

c)

10⁴

d)

1000 is already in exponential form

111.

10,000

a)

10¹

b)

10²

c)

10³

d)

10⁴

112.

10⁰

a)

0

b)

1

c)

10

d)

100

113.

Work out the root: √144

a)

12

b)

144

c)

16

d)

11

114.

Work out the root: √49

a)

7

b)

13

c)

2

d)

49

115.

2⁵ is the same as 2 x 5.

a)

True

b)

False

116.

How do you correctly say 4³

a)

4 squared

b)

3 quadrupled

c)

4 cubed

d)

4 to the power of 2

117.

√100

a)

15

b)

10

c)

11

d)

12

118.

What special word do you use for the exponent of 2?

a)

squared

b)

cubed

c)

triangled

d)

boxed

119.

Based on the pattern shown, what is the value of 6⁶?

6¹ = 6

6² = 36

6³ = 216

6⁴ = 1,296

a)

2,592

b)

46,656

c)

36,000

d)

1,308

120.

Match the following.

a)

10²

1.

100

b)

10⁴

2.

10,000

c)

10⁶

3.

1,000,000

d)

10⁸

4.

100,000,000

e)

10⁰

5.

1

Understanding Coordinates and Integers

Total questions: 120

Worksheet time: 2hrs 0mins

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