Free Printable Integers, Rational Numbers, and the Coordinate Plane

1.

Any number that can be written as a fraction is a rational number

a)

Always

b)

Never

c)

Sometimes

2.

Positive whole numbers, their opposites, and zero

a)

absolute values

b)

integers

c)

opposites

d)

irrational numbers

3.

An integer that is less than zero

a)

positive integer

b)

negative integer

4.

An integer that is greater than zero

a)

positive integer

b)

negative integer

5.

The distance a number is from zero on a number line.

a)

opposite

b)

absolute value

6.

Absolute value is positive.

a)

Always

b)

Never

c)

Sometimes

7.

Numbers that are the same distance from zero but in opposite directions on the number line

a)

absolute values

b)

opposites

8.

Classify -8 (negative 8).

Check all that apply.

a)

whole number

b)

integer

c)

rational number

9.

Classify 10.

Check all that apply

a)

whole number

b)

integer

c)

rational number

10.

Classify 1.5.

Check all that apply.

a)

whole number

b)

integer

c)

rational number

11.

Classify 3/4.

Check all that apply.

a)

whole number

b)

integer

c)

rational number

12.

A set of two real numbers that locate a point on a plane is called __________________.

a)

Origin

b)

Coordinate Plane

c)

Ordered Pair

d)

Graph

13.

How do you write an ordered pair?

a)

(X,X)

b)

(Y,X)

c)

(X,Y)

d)

(Y,Y)

14.

Ordered pair (0,0) is also known as the ___.

a)

y-axis

b)

x-axis

c)

origin

15.

In the ordered pair (7, 8), which number is the x-coordinate?

a)

7

b)

8

c)

neither

d)

both

16.

In the ordered pair (4,9), which number is the y-coordinate?

a)

4

b)

9

c)

neither

d)

both

17.

The __ - axis is vertical in the coordinate plane.

a)

X

b)

Y

c)

Z

d)

None of the above

18.

In which quadrant is Point C located?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

19.

Name the quadrant that the point lies in.
(-3, 8)

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

20.

If the x-coordinate and y-coordinate are both negative numbers. What quadrant will the point lie in?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

21.

What is the definition of integers

a)

a set of positive whole numbers, their opposites, and 0

b)

a set of negative whole numbers

c)

positive and negative numbers

d)

any number you can graph on a number line

22.

What do we call a number less than zero?

a)

integer

b)

negative number

c)

whole number

d)

positive integer

23.

Which term means the distance of a number from zero on the number line; shown by | | ?

a)

repeating decimal

b)

absolute value

c)

additive inverse

d)

opposite

24.

What is a term used to describe the opposite of a number?

a)

rational number

b)

repeating decimal

c)

additive inverse

d)

terminating decimal

25.

Are opposites always positive?

a)

yes

b)

no

26.

What do we call numbers that are equal distance from zero on a number line; also called additive inverse?

a)

opposites

b)

absolute value

c)

rational number

d)

positive integer

27.

The axes divide the coordinate plane into four sections called what?

a)

ordered pairs

b)

origins

c)

quadrants

d)

coordinate plane

28.

A positive number is __________less than a negative number.

a)

never

b)

always

c)

sometimes

d)

probably

29.

The coordinates for the origin in the coordinate plane are________?

a)

(1,1)

b)

(0,0)

c)

(0,1)

d)

(1,0)

30.

The intersection of a horizontal line and a vertical line creates this?

a)

ordered pairs

b)

origins

c)

quadrants

d)

coordinate plane

31.

You can use a _______ to order and compare integers.

a)

donut

b)

microscope

c)

number line

d)

spoon

32.

Is absolute value always positive?

a)

yes

b)

no

33.

Compare: -3 ? -5

a)

>

b)

<

c)

=

34.

Compare l-5l to the l-10l

a)

l-5l > l-10l

b)

l-5l = l-10l

c)

l-5l < l-10l

35.

Compare these Integers using the symbols:
< > =
| -4 | _____ 4

a)

<

b)

>

c)

=

36.

Monday's temperature was -3°F and Tuesday's was -5°F. Which day was colder?

a)

neither they were equal

b)

Monday

c)

Tuesday

d)

Friday

37.

The opposite of -89 is?

a)

-89

b)

89

c)

0

d)

98

38.

Which of the following is the LEAST?

a)

|15|

b)

|-14|

c)

|3|

d)

|-20|

39.

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

40.

Order the numbers from least to greatest.
-2, I8I, 5, I-10I, 6

a)

-2, I8I, 5, I-10I, 6

b)

-2, 5, 6, I8I, I-10I

c)

-2, 5, 6, 8, 10

d)

I-10I, -2, 5, 6. I8I

41.

What is the opposite of -16?

a)

14

b)

-16

c)

16

d)

0

42.

What is the opposite of 0?

a)

-0

b)

0

c)

1

d)

2

43.

What is the opposite of 65?

a)

1

b)

65

c)

0

d)

-65

44.

Write the integers in order from least to greatest: 2, -3, 0, -4

a)

0, -4, -3, 2

b)

-4, -3, 0, 2

c)

-3, -4, 0, 2

d)

2, 0, -3, -4

45.

A dolphin can swim to 150 feet below sea level. What integer represents the situation?

a)

-75

b)

0

c)

150

d)

-150

46.

Write the rational numbers in order from least to greatest: 1.25, - 3/2, -1.25, 1 ½

a)

-3/2, -1.25, 1.25, 1 ½

b)

1 ½, 1.25, -1,25, -3/2

c)

-1.25, -3/2, 1.25, 1 ½

d)

-1.25, -3/2, 1 ½, 1.25

47.

Use <, >, or = to compare 1/10 and 0.09

a)

1/10 < 0.09

b)

1/10 > 0.09

c)

1/10 = 0.09

48.

Use <, >, or = to compare.

-1.44 and -1 ¼

a)

-1.44 < -1 ¼

b)

-1.44 > -1 ¼

c)

-1.44 = -1 ¼

49.

Find the distance between each pair of points.

(-5, 2) and (-5, 6)

a)

0

b)

2

c)

8

d)

4

50.

Find the distance between each pair of points.

(4.5, -3.3) and (4.5, 5.5)

a)

2.2

b)

5.5

c)

8.8

d)

4.5

51.

Find the distance between each pair of points.

(5 ½ , -7 ½) and (5 ½ , -1 ½)

a)

5

b)

6

c)

9

d)

10

52.

Find the distance between each pair of points.

(5 ¼ , -3 ¼ ) and (5 ¼ , -6 ¼)

a)

3

b)

4

c)

5

d)

6

53.

Find the perimeter of rectangle MNOP with vertices M(-2, 5), N(-2, -4), O(3, -4) and P(3, 5)

a)

4

b)

45

c)

10

d)

28

54.

Is EFGH a square? E(-2, 3.5), F(3, 3.5), G(3, -1.5), and H(-2, -1.5)

a)

Yes

b)

No

55.

Square ABCD has vertices A(-4.5, 4), B(3.5, 4), C(3.5, -4), and D(-4.5, -4). What is the area of square ABCD?

a)

32

b)

64

c)

16

d)

20

56.

_______________ are the same distance from zero but in the opposite direction of each other.

a)

integers

b)

rational numbers

c)

opposites

57.

_________________ is all the counting numbers and their opposites.

a)

integers

b)

rational numbers

c)

opposites

58.

_______________ can be written as a quotient of two numbers.

a)

integers

b)

rational numbers

c)

opposites

59.

Four points are graphed on the coordinate grid. Which point is best represented by the ordered pair (2, -5.5)?

a)

W

b)

V

c)

S

d)

R

60.

What is the value of the x-coordinate of point R?

a)

5.5

b)

-6.5

c)

-5.5

d)

-4.5

61.

What is the ordered pair for point S?

a)

(5, -2.5)

b)

(5.5, 2)

c)

(-5, -2)

d)

(5.5, -2)

62.

The coordinate grid shows points P, Q, R, and S. All the coordinates for these points are integers. What is the ordered pair for point Q?

a)

(-3, -4)

b)

(3, -4)

c)

(-3, 4)

d)

(-4, -3)

63.

What is the y-coordinate for point C?

a)

1\frac{1}{2}

b)

$\frac{1}{2}$

c)

-4

d)

0.75

64.

Which point best represent the ordered pair

\left(-2\frac{1}{2},\ 3\right)

a)

J

b)

K

c)

L

d)

M

65.

What is the ordered pair for point B?

a)

$\left(2\frac{1}{2},\ 3\right)$

b)

$\left(3\frac{1}{2},\ 3\right)$

c)

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

d)

$\left(-3,\ 2.5\right)$

66.

Which point best represents

\left(-2,\ -1\frac{1}{4}\right)

?

a)

A

b)

B

c)

C

d)

D

67.

What is the x-coordinate for point D?

a)

-0.5

b)

$\frac{3}{4}$

c)

-0.75

d)

$-\frac{1}{4}$

68.

Four points are shown on the coordinate plane. Which point best represent the ordered pair (-3, -5)?

a)

E

b)

F

c)

G

d)

H

69.

Which point best represent the locations of the ordered pair

\left(1\frac{3}{4},\ 2\right)

?

a)

P

b)

Q

c)

R

d)

S

70.

Which point is located at (-2, -1.5)

a)

A

b)

B

c)

C

d)

D

e)

E

71.

Definition: A number with no fractional part (no decimals).

a)

Inequality

b)

Integer

c)

Opposite

d)

Rational Number

72.

Definition: Numbers that are in opposite positions on the number line.

Such as −6 and +6

Or −150 and +150

a)

Rational Number

b)

Integer

c)

X- Axis

d)

Opposite

73.

Definition: A number that can be made by dividing two integers (an integer is a number with no fractional part).

The word comes from "ratio".

a)

Rational Number

b)

Quadrants

c)

Opposite

d)

Coordinate

74.

Definition: How far a number is from zero.

Examples:

6 is 6 away from zero.

−6 is 6 away from zero.

a)

Opposite

b)

Positive

c)

Absolute Value

d)

Negative

75.

Definition: Compares two values, showing if one is less than, greater than, or simply not equal to another value.

a)

Inequality

b)

X- Axis

c)

Y-Axis

d)

Coordinate

76.

Definition: A set of values that show an exact position.

On graphs it is usually a pair of numbers: the first number shows the distance along, and the second number shows the distance up or down.

a)

Y- Axis

b)

X- Axis

c)

Integer

d)

Coordinate

77.

Definition: Two numbers written in a certain order.

Usually written in parentheses like this:

(12,5)

a)

Coordinate

b)

Ordered Pair

c)

Quadrant

d)

Rational Number

78.

Definition:

The line on a graph that runs horizontally (left-right) through zero.

It is used as a reference line so you can measure from it.

a)

Y- Axis

b)

X- Axis

c)

Horizontal

d)

Vertical

79.

Definition: The line on a graph that runs vertically (up-down) through zero.

It is used as a reference line so you can measure from it.

a)

X- Axis

b)

Coordinate Pair

c)

Inequality

d)

Y- Axis

80.

Definition: The horizontal value in a pair of coordinates: how far along the point is.

The ____ Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5).

a)

Y- Coordinate

b)

Integer

c)

X- Coordinate

d)

Rational Number

81.

Definition: The vertical value in a pair of coordinates. How far up or down the point is.

The _____ Coordinate is always written second in an ordered pair of coordinates (x,y) such as (12,5).

a)

Y- Coordinate

b)

X- Coordinate

c)

Horizontal

d)

Vertical

82.

Definition: The plane formed by a horizontal axis and a vertical axis, often labeled the x-axis and y-axis, respectively.

a)

X- Axis

b)

Y- Axis

c)

Inequality

d)

Coordinate Plane

83.

Definition: Any of the 4 areas made when we divide up a plane by an x and y axis, as shown.

They are usually numbered I, II, III and IV

a)

Quadrants

b)

Coordinates

c)

Coordinate Pair

d)

Coordinate Plane

84.

Convert the following fraction into a decimal: $\frac{3}{4}$

a)

0.75

b)

0.66

c)

0.25

d)

0.45

85.

Match the integer with its opposite.

4

a)

-4

b)

7

c)

2

d)

5

86.

Meghan has her own business. When she makes money, it is called income. When she spends money, it is called expenses. You would use which type of integers to represent income?

a)

negative

b)

positive

c)

rational

d)

opposite of

87.

Jasmine is on a cruise and is going on a scuba diving excursion. Her elevations of 10 feet above sea level and 8 feet below sea level can be compared on a number line. What would 0 represent in this number line?

a)

sea level

b)

above sea level

c)

below sea level

d)

land

88.

Label Point C

a)

5/6

b)

-2/6

c)

-2/3

d)

-1/2

89.

Look at the image behind this question. Which point is located at -¾ ?

a)

A

b)

B

c)

C

d)

D

90.

Which graph shows 3/4 and its opposite?

a)

b)

c)

d)

91.

| -3.75|=

a)

$3\ \frac{3}{4}$

b)

- $3\ \frac{3}{4}$

c)

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

d)

$3\ \frac{1}{4}$

92.

Which quadrant is the ordered pair, (3,5) ?

a)

I

b)

II

c)

III

d)

IV

93.

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

a)

C

b)

Z

c)

K

d)

None of the above

94.

Ordered pair (0,0) is also known as the ___.

a)

y-axis

b)

x-axis

c)

origin

95.

The coordinate plane is divided by a horizontal number line called what?

a)

y-axis

b)

origin

c)

x-axis

d)

quadrant

96.

The vertical number line in the coordinate plane is called what?

a)

y-axis

b)

origin

c)

quadrant

d)

x-axis

97.

Moving or "flipping" a point over either axes to create a mirror image is called what?

a)

relation

b)

rotation

c)

illusion

d)

reflection

98.

The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)
What is the length of the longest side of the rectangle?

a)

4 units

b)

5 units
5 units

c)

6 units

d)

8 units

99.

What is the distance between points (3, -5) and (3, -8)?

a)

1 unit

b)

2 units

c)

3 units

d)

4 units

100.

Find the distance between the two ordered pairs.

a)

6

b)

5

c)

7

d)

13

101.

What is the perimeter of the shape?

a)

20 units

b)

12 units squared

c)

22 units

d)

32 units squared

Integers, Rational Numbers, and the Coordinate Plane

Total questions: 101

Worksheet time: 3hrs 3mins

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