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Unit 3 Review

Total questions: 79

Worksheet time: 3hrs 59mins

Name
Class
Date
1.

The table includes information about the vertices of a triangle. Which of the following best represents the missing information?

a)

(3, 2)

b)

(3, -2)

c)

(-3, 2)

d)

(-3, -2)

2.

The ordered pair (-7, 9) can be found in which quadrant?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

3.

Point E is reflected across the y-axis. Which ordered pair best represents E' (the reflection of E)?

a)

(5, -7)

b)

(-7, 5)

c)

(-5, -7)

d)

(5, 7)

4.

Jeremy plots the points (4, 3) and (4, -6) on the coordinate plane. Which of the following statements best describes the points he plotted?

a)

The points form a vertical line segment that measures 9 units.

b)

The points form a horizontal line segment that measures 7 units.

c)

The points form a vertical line segment that measures 7 units.

d)

The points form a horizontal line segment that measures 9 units.

5.

The points on the coordinate plane are three vertices of a rectangle ABCD. What is the ordered pair of D?

TIP: You will have to find where point D would lie.

AND BE CAREFUL. Notice the numbering on the x and y axis.

a)

(-2, 1)

b)

(-1, 2)

c)

(1, -2)

d)

(-2, -1)

6.

Point K is reflected across the x-axis. Which of the following points best represents K' (the reflected point).

Notice how the x and y axis are numbered.

a)

Point M

b)

Point N

c)

Point O

d)

Point P

7.

The three points form a triangle and are graphed on the coordinate plane. Which of the ordered pairs below represents a point on the triangle?

Be careful. Look at how they have numbered the axes.

a)

(-1, -0.5)

b)

(2, 3)

c)

(1, -1.5)

d)

(-1, -1)

8.

Marsha'[s house is located on the coordinate plane below. Tasha's house is located 6 units from Marsha's house. Which of the following could represent the location of Tasha's house?

Caution: Look carefully at how they have numbered the x and y axis.

a)

(-2, 5)

b)

(4, 2)

c)

(2, 5)

d)

(-2, -5)

9.

The table includes information about the vertices of a triangle. Which of the following best represents the missing information?

Note: The columns are labeled "VERTEX" "REFLECTED ACROSS X-AXIS" and "REFLECTED ACROSS Y-AXIS"

a)

(3, 2)

b)

(3, -2)

c)

(-3, 2)

d)

(-3, -2)

10.

Points A, B, C, D, and E form a pentagon. Which of the following ordered pairs can be located INSIDE the pentagon?

CAUTION: Look carefully at how the x and y axis are numbered.

a)

(-1, -1)

b)

(1, -1)

c)

(1, 2)

d)

(-0.5, 1)

11.
Evaluate the following expression
I -3 I
a)
0
b)
3
c)
-3
d)
.3
12.
What does absolute value mean?
a)
The opposite of a number
b)
The exact distance a number is from zero
c)
a negative plus a positive
13.
The opposite of a negative is always a ___________
a)
positive
b)
negative
c)
absolute value
d)
inequality
14.
Absolute value is always a ____________
a)
positive
b)
negative
c)
inequality
d)
rational number
15.
What is the opposite of -36
a)
36
b)
-36
c)
3.6
d)
-3.6
16.
Evaluate the expression
I 10 I
a)
-10
b)
10
c)
1
d)
0
17.
Is the following statement true or false?
An integer can be both a positive and negative number
a)
true
b)
false
18.
What is the opposite of 360?
a)
360
b)
-360
c)
0
19.
Is the absolute value the same for both of the following numbers?
I 7 I   and I -7 I
a)
yes they both have an absolute value of 7
b)
yes, they both have an absolute value of -7
c)
no 
20.
-5  _____  0
a)
<
b)
>
c)
=
21.
0 _____  -10
a)
<
b)
>
c)
=
22.
What is the reason that absolute value is always written as a positive?
a)
Absolute value is talking about numbers so it must be positive.
b)
Absolute value does not always have to be positive.
c)
Absolute value is like a clock it has only positive numbers.
d)
Absolute value is talking about distance, distance is always measured by positive numbers.
23.

Calculate the distance between the following points.

-6 and 4

a)

10 Spaces

b)

2 Spaces

24.

Calculate the distance between the following points.

4 and -12

a)

16 Spaces

b)

8 Spaces

25.

Calculate the distance between the following points.

10 and -5

a)

15 Spaces

b)

5 Spaces

26.
Find the distance between the two ordered pairs.
a)
6
b)
5
c)
7
d)
13
27.
If you were to reflect coordinate S (-6, -3) over the y-axis what coordinate would you keep the same?
a)
-6
b)
-3
c)
-6 and -3
d)
change both of them
28.
If you were to reflect coordinate S (-6, -3) over the x-axis what coordinate would you keep the same?
a)
-6
b)
-3
c)
-6 and -3
d)
change both of them
29.

What is the reflection of F (3, 4) over the x-axis?

a)

F (-3, -4)

b)

F' (3, -4)

c)

F (-3, 4)

d)

F (4, 3)

30.
What is the reflection of D (4, 3) over the y-axis?
a)
D' (3, 4)
b)
D' (-3, -4)
c)
D (-4, 3)
d)
D (-4, -3)
31.

What is the reflection of C (0,-4) over the x-axis?

a)

C' (-0, 4)

b)

C' (4, 0)

c)

C' (0, 4)

d)

C' (-4, 0)

32.

Find the distance between the two ordered pairs.

a)

-5

b)

9

c)

15

d)

5

33.
Find the distance between the two ordered pairs.
a)
12
b)
-8
c)
8
d)
10
34.

Points G, H, and I are plotted on the coordinate grid. How many units are between points G and H?

a)

15 units

b)

14 units

c)

10 units

d)

9 units

35.
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
36.
What strategy do we use to find the distance between two points?
a)
absolute value
b)
counting the distance
c)
subtracting integers
d)
adding integers
37.
Find the distance between the two ordered pairs.
a)
5
b)
6
c)
7
d)
10
38.
Find the distance between the two ordered pairs.
a)
6
b)
5
c)
7
d)
13
39.
Find the distance between the two ordered pairs.
a)
4
b)
16
c)
2
d)
-4
40.
State the line of reflection.
a)
Reflection across y-axis
b)
Reflection across x-axis
c)
Reflection across x = 1
d)
Reflection across y = 1
41.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
42.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
43.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
44.
What color is the x-axis?
a)
red
b)
black
c)
green
d)
white
45.
What color is the y-axis?
a)
red
b)
black
c)
green
d)
white
46.

The ordered pair of a point is (y, x)

a)

True

b)

False

47.

What are the coordinates of point H?

a)

-4, 2

b)

4, -2

c)

-2, 4

d)

4, 4

48.

Counting numbers that are positive

a)

Integers

b)

Rational Numbers

c)

Whole Numbers

49.

Positive and negative whole numbers

a)

Whole numbers

b)

Integers

c)

Rational Numbers

50.

Any number that can be written as a fraction

a)

Integers

b)

Rational Numbers

c)

Whole Numbers

51.
-9 is an integer
a)
True
b)
False
52.
6 is a rational number
a)
True
b)
False
53.
-3.5 is an integer
a)
True
b)
False
54.
What is the opposite of -9? 
a)
9
b)
1/9
c)
0
d)
-9
55.

−1.25

The number is between the integers _and _.

It is closer to the integer _.

a)

0 and -1 close to -1

b)

-1 and -2 close to -2

c)

1 and 2 close to 1

d)

-1 and -2 close to -1

56.

⅘

The number is between the integers _and _.

It is closer to the integer _.

a)

1 and 2 close to 1

b)

0 and 1 close to 0

c)

0 and 1 close to 1

d)

0 and -1 close to -1

57.

−5.8

The number is between the integers _and _.

It is closer to the integer _.

a)

5 and 6 close to 6

b)

-5 and -6 close to -6

c)

-4 and -5 close to -5

d)

-5 and -6 close to -5

58.

Click on the image - Write the number positioned at point A.

a)

−4.25 -4.25\

b)

−3.75-3.75

c)

4.254.25

d)

−4.5-4.5

59.

Which number is graphed on the number line?

a)

3.5

b)

3.4

c)

4.5

d)

3.1

60.

What number(s) is graphed on the number line?

a)

3.4

b)

3.5

c)

-3.4

d)

-3.5

61.

Which number is shown on the number line?

a)

1.5

b)

-1.5

c)

0.5

d)

-0.5

62.

Which graph shows 1 141\ \frac{1}{4}   ?


a)
b)
c)
d)
63.

Which graphs show 2.75 graphed on the number line?

a)
b)
c)
d)
64.

 Which graph shows  −15-\frac{1}{5}  ?

a)
b)
c)
d)
65.

Which point on the number line best represents -1.2?

a)

A

b)

B

c)

C

d)

D

e)

E

66.
What is 1/3 as a decimal?
a)
0.3
b)
0.333333...
c)
0.666666...
d)
0.13
67.
What is the decimal equivalent of 3/5?
a)
0.3
b)
3.5
c)
0.6
d)
0.2
68.
Convert 4/5 to a decimal
a)
.45
b)
.80
c)
.40
d)
.54
69.

What is 2 4/5 as a decimal?

a)

2.45

b)

0.8

c)

2.8

d)

0.45

70.
write -3/8 as a decimal.
a)
0.375
b)
2.666...
c)
-2.666...
d)
-0.375
71.

Find the equivalent decimal to

35\frac{3}{5}  .

a)

.35

b)

.6

c)

.07

d)

.5

72.

712 7\frac{1}{2}\  =

a)

7.25

b)

7.5

c)

7.2

73.
What is 5/4 as a decimal?
a)
1.25
b)
.125
c)
0.25
d)
1.75
74.
Numbers like -3, -2, -1, 0, 1, 2, 3 are called
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
75.
Which situation cannot be represented by the integer -10?
a)
an elevation of 10 feet below sea level
b)
a temperature increase of 10°F
c)
a golf score of 10 under par
d)
a bank withdrawal of $10
76.
Which integer represents a loss of 15 yards on the football field?
a)
0
b)
15
c)
-15
d)
-30
77.

What integer best represents when Emma goes shopping and spends $32?

a)

32

b)

-32

78.
A withdrawal of $ 445.15.
a)
$445.15
b)
-$445.15
79.
A deposit of $25.
a)
$25
b)
-$25

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