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Worksheets

EOY

Total questions: 110

Worksheet time: 4hrs 32mins

Name
Class
Date
1.
9+2a=-3-4a
a)
a = -2
b)
a = 2
c)
a = 5
d)
a = -1
2.
2a+4=7+a
a)
a = 1
b)
a = -3
c)
a = -1
d)
a = 3
3.
is 7 a solution to the equation
3x+8-x=5x-4
a)
yes
b)
no
c)
maybe
4.
(2⁄3)a+1=16-a
a)
a = 0
b)
a = 9
c)
a = 22.5
d)
a = -3
5.
Solve for x:
4(1-x)+3x=-2(x+1)
a)
x = -6
b)
x = 6
c)
x = 3
6.
Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.
a)
3 hours
b)
4 hours
c)
1 hour
d)
2 hours
7.
-(8n - 2) = 3 + 10(1 - 3n)
a)
n = 1/2
b)
n = -1/2
c)
n = 2
8.
A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear.  They sell the teddy bears for $12 a piece.  Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?
a)
1500 + 8t = 12
b)
12 + 8t = 1500
c)
1500 + 8t = 12t
d)
8t = 12t + 1500
9.

What is the slope?

a)

2

b)

1

c)

0

d)

-2

10.

What is the slope?

a)

1

b)

-1

c)

3

d)

-3

11.

What is the slope?

a)

-3

b)

0

c)

undefined

d)

3

12.

What is the slope?

a)

0

b)

undefined

c)

-1

d)

1

13.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
measurements
d)
nothing
14.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
base
c)
nothing
d)
slope
15.
What is the slope in the equation:  y=4x+3
a)
3
b)
4x
c)
4
d)
3x
16.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
17.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
18.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
19.
What is the slope of a line parallel to the line whose equation is:  -2x + y = - 7?
a)
-2
b)
1/2
c)
-1/2
d)
2
20.
What is the slope of a line perpendicular to the line whose equation is:  -2x + y = - 7?
a)
-2
b)
1/2
c)
-1/2
d)
2
21.
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
22.
Solve for  y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
23.
What is the measure of ∠ABC?
a)
25°
b)
75°
c)
108°
d)
150°
24.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
25.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
26.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
27.
If angle B measures 120 degrees, find the measure of angle Q.
a)
120 degrees
b)
-30 degrees
c)
60 degrees
28.
Find D
a)
∠D=116°
b)
∠D=64°
c)
∠D=180°
d)
∠D=26°
29.
What is the value of x?
a)
13
b)
6.2
c)
29.8
30.
Solve for x.
a)
41
b)
-41
c)
-9
d)
-21
31.

What is the perimeter of the shape?

a)

20 units

b)

12 units squared

c)

22 units

d)

32 units squared

32.
∠A ≅∠?
a)
∠B
b)
∠E
c)
∠D
d)
∠F
33.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
34.
∆PRQ≅∆SRT
a)
TRUE
b)
FALSE
35.
Solve for y
a)
2
b)
3
c)
4
d)
5
36.
Solve for x
a)
30
b)
40
c)
50
d)
60
37.
Determine the unknown angle measure.
a)
A
b)
B
c)
C
d)
D
38.
Find the measure of x.
a)
75°
b)
30°
c)
25°
d)
20°
39.
a)
obtuse scalene
b)
right isosceles
c)
equilateral right
d)
obtuse isosceles
40.
Do the following side lengths form a triangle?
2 inches, 2 inches, 4 inches
a)
Yes
b)
No
41.
9. Which of these lengths CANNOT represent the sides of a triangle?
a)
32, 34, 60
b)
28, 30, 58
c)
13, 20, 27
d)
2, 4, 5
42.
Does a triangle with these side lengths exist?
20, 10, 9
a)
Yes
b)
No
c)
I don't know.
43.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
44.
If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?
a)
any length
b)
equal to 10
c)
greater than 10
d)
less than 10
45.
Identify the shortest side measure.
a)
QP
b)
QM
c)
MP
46.
Identify the longest side measure.
a)
AC
b)
BA
c)
BC
47.
Identify the longest side measure.
a)
LM
b)
MQ
c)
LQ
48.
Identify the largest angle.
a)
∠N
b)
∠Q
c)
∠P
49.
Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?
a)
12 < x < 17
b)
12 < x < 29
c)
5 < x < 17
d)
5 < x < 29
50.
Two angles that add up to 180 degrees are called _____________ ______.
a)
right angles
b)
corresponding angles
c)
complementary angles
d)
supplementary angles
51.
Two angles that add up to 90 degrees are called _____________ ______.
a)
supplementary angles
b)
complementary angles
c)
corresponding angles
d)
right angles
52.
solve for X
a)
19
b)
20
c)
33
d)
53
53.
Solve for X
a)
22
b)
16
c)
40
d)
35
54.
solve for X
a)
24
b)
90
c)
14
d)
100
55.
If GI = 2s - 84 and GK = s-18. Find the value of S
a)
12
b)
55
c)
66
d)
60
56.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
57.
Figure A is a...
a)
Rectangle
b)
Square
c)
Rhombus
58.
The figure is a rhombus.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
59.
Find the measure of angle 2
a)
68
b)
22
c)
136
d)
44
60.
Find the measure of angle 4
a)
90
b)
22
c)
136
d)
44
61.
If the figure is a rectangle, the value of x is...
a)
2
b)
12
c)
13
d)
28
62.
Find y.
a)
2
b)
4
c)
6
d)
8
63.

What is the measure of angle 2?

a)

54

b)

108

c)

72

d)

36

64.
What is this shape?
a)
Rhombus
b)
Rectangle
c)
Kite
d)
Square
65.
What is the value of x?
a)
132
b)
66
c)
114
d)
48
66.
If ABCD is a parallelogram, what is the length of BD? 
a)
10
b)
11
c)
7
d)
5
67.
Which of the following statements is false?
a)
BD and AC are perpendicular
b)
BD and AC are congruent
c)
∠A and ∠C  are congruent
d)
BD bisects AC
68.
Solve for Angle 1 and Angle 2.
a)
1= 92, 2 = 46 degrees
b)
1 = 118, 2 = 118 degrees
c)
1 = 92, 2 = 92 
d)
1 = 136, 2 = 100 
69.
Find the value of y.
a)
65
b)
110
c)
75
d)
None of these.
70.

What is the value of x, y and z on the kite.

a)

x=90

y=57

z=57

b)

x=90

y=33

z=57

c)

x=180

y=57

z=33

d)

x=33

y=57

z=90

71.
Find the midsegment.
a)
14
b)
28
c)
12
d)
16
72.
Find the missing angle.
a)
65
b)
115
c)
180
d)
None of these
73.

A midsegment of a trapezoid

a)

is the same as a diagonal

b)

is half the sum of the lengths of the bases

c)

is parallel to the legs

d)

none of these

74.
Find the measure of ∠1:
a)
79°
b)
101°
c)
72°
d)
180°
75.
Find the measure of ∠2:
a)
96°
b)
88°
c)
84°
d)
92°
76.
Triangle ABC is going to be translated. Where would  A' position be at, if the translation was be (x,y) --> (x+3, y-2)?
a)
(-1,3)
b)
(5,3)
c)
(5,8)
d)
(3,5)
77.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
(x+2, y-5)
b)
(x+2, y-9)
c)
(x-2, y-9)
d)
(x-2, y+9)
78.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
79.
How is triangle ABC being translated to triangle A'B'C'?
a)
up 3, left 8
b)
up 9, left 4
c)
down 3, right 8
d)
down 9, right 4
80.
In the translation shown the image is moved _______________.
a)
left 5
b)
right 5
c)
up 5
d)
down 5
81.
Which rule would result in a translation of 2 units left and 3 units up?
a)
(x, y) → (2x, 3y)
b)
(x, y) → (x - 2, y + 3)
c)
(x, y) → (-x, -y)
d)
(x, y) → (x + 2, y - 3)
82.
Point A is located at (4, 9) and is translated using the following algebraic representation:
(x, y) goes to (x + 4, y - 3).  What happens to point A when it is translated?
a)
It moves to the left 4 and down 3
b)
It moves to the right 4 and up 3
c)
It moves to the left 3 and up 4
d)
It moves to the right 4 and down 3
83.
Point M (-3, 5) is translated using this rule. 
(x, y) ----> (x - 1, y) 
What are the coordinates of M'?
a)
(-4, 5)
b)
(-2, 5)
c)
(-4, 4)
d)
None of these
84.
What color is the x-axis?
a)
red
b)
black
c)
green
d)
white
85.
If the dotted figure is the image, the original figure was reflected over the ...
a)
x-axis
b)
y-axis
86.
If the dotted figure is the image, the original figure was reflected over the ...
a)
x-axis
b)
y-axis
87.
What is the Algebraic Notation for this Reflection?
a)
(x, y) → (y, x)
b)
(x, y) → (-x, y)
c)
(x, y) → (-y, -x)
d)
(x, y) → (x, -y)
88.

When you reflect over the y axis, what stays the same?

a)

x stays the same

b)

y stays the same

c)

z stays the same

d)

q stays the same

89.

Triangle ABC has a vertex, A (5,2). Find the coordinates of A after a reflection over the x-axis.

a)

A’(5, -2)

b)

A’(-5, -2)

c)

A’(-5, -2)

d)

A'(5,2)

90.
∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?
a)
S'(3, 7)
b)
S'(-3, 7)
c)
S'(-3, -7)
d)
S'(3, 7)
91.

Hexagon ABCDEF has a vertex at (-7, 2). If this vertex is reflected across the x-axis, what are its new coordinates?

a)

(7, 2)

b)

(-7, -2)

c)

(7, -2)

d)

(-2, -7)

92.

Rotation Rules (clockwise):

90o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90⁰ rotation clockwise?

a)

(1, 3)

b)

(3, 1)

c)

(3, -1)

d)

(1, -3)

93.

Rotation Rules (clockwise):

180o rotation: (x, y)→(-x, -y)

What are the coordinates of C' after a rotation of 180° clockwise?

a)

(-3, -1)

b)

(3,1)

c)

(1,3)

d)

(-1, -3)

94.

Rotation Rules (clockwise):

270o rotation: (x, y)→(-y, x)

What are the coordinates of B' after a 270° clockwise?

a)

(4, 4)

b)

(4, -4)

c)

(-3, 4)

d)

(-4, 4)

95.

Does the image show a rotation? If so, what is the angle of rotation?

a)

90° counterclockwise

b)

180° counterclockwise

c)

270° counterclockwise

d)

Not a rotation

96.
A dilation is which of the following: 
a)
An enlargement
b)
A reduction
c)
Either an enlargement or a reduction
d)
Neither an enlargement or a reduction
97.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
98.
If the scale factor is greater than one, the new figure will be
a)
a reduction
b)
an enlargement
c)
a scale
d)
not proportional
99.
Dilate Point B by a scale factor of 1/2
a)
(1.5,-4)
b)
(-1.5,1)
c)
(-1,-1.5)
d)
(-2,-2)
100.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
101.
Which of the following is the algebraic representation for a dilation?
a)
(x, y) → (x, 3y)
b)
(x, y) → (3x, 3y)
c)
(x, y) → (x, y - 3)
d)
(x, y) → (.5x, .4y)
102.
a)
A
b)
B
c)
C
d)
D
103.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
104.
Describe the transformations necessary to transform the graph of f(x) (solid line) into that of g(x) (dashed line).
a)
reflect over the y-axis and translate right 3 units
b)
reflect across the x-axis translate left 3 units
c)
reflect over the x- axis and translate down 3 units
d)
reflect of the y-axis and translate left 3 units
105.

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

a)

Reflection over x-axis, then Rotation of 90 Degrees

b)

Rotation of -90 Degrees, then Reflection over y-axis

c)

Reflection over y-axis, then Rotation of -90 Degrees

d)

Rotation of 90 Degrees, then Reflection over x-axis

106.

A double reflection over two parallel line results in a ____________.

a)

Reflection

b)

Translation

c)

Rotation

d)

Dilation

107.

If the red triangle is rotated 180 degrees, then reflected over y=2 what is the final image?

a)

Green Triangle

b)

Blue Triangle

c)

Orange Triangle

d)

Red Triangle

108.

Two parallel lines are 7 units apart. If you reflect a figure over both lines how far apart will the pre-image and final image be?

a)

7 units

b)

14 units

c)

4 units

d)

2 units

109.

What is the distance between A' and A'' if A is (-3,5) and reflected over x=-5 then over x=-2?

a)

10 units

b)

11 units

c)

7 units

d)

9 units

110.
What is the image of point  after the composition of transformations defined by R-90 o ry=x?
a)
(-4, 2)
b)
(4, -2)
c)
(-4, -2)
d)
(2, -4)