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Math 1 Sem 2 Final | 2024

Total questions: 100

Worksheet time: 3hrs 53mins

Name
Class
Date
1.

Select the inequality shown

a)

x > 1

b)

x ≥ 1

c)

x < 1

d)

x ≤ 1

2.

Select the inequality shown

a)

x > 3

b)

x ≥ 3

c)

x < 3

d)

x ≤ 3

3.

Select the inequality shown

a)

x > 5

b)

x ≥ 5

c)

x < 5

d)

x ≤ 5

4.

Select the inequality shown

a)

x > 0

b)

x ≥ 0

c)

x < 0

d)

x ≤ 0

5.

Select the inequality shown

a)

x > -2

b)

x ≥ -2

c)

x < -2

d)

x ≤ -2

6.

Select the inequality shown

a)

x > -3

b)

x ≥ -3

c)

x < -3

d)

x ≤ -3

7.

Select the inequality shown

a)

x > -5

b)

x ≥ -5

c)

x < -5

d)

x ≤ -5

8.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
9.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
10.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
11.

Solve for x.


2x + 6 ≥ -8

a)

x ≥ -7

b)

x ≤ -7

c)

x ≥ -10

d)

x ≤ -10

12.

Solve for k.


2k - 9 ≤ -19

a)

k ≤ -5

b)

k ≤ 5

c)

k < -5

d)

k < 5

13.

Solve for x.


5x  7  85x\ -\ 7\ \ge\ 8  

a)

x > 3

b)

x ≤ ⅕

c)

x ≥ 3

d)

x ≤ ⅕

14.

Solve for k.


7k – 2 ≥ -9

a)

k ≤ -1

b)

k ≤ 1

c)

k ≥ 1

d)

k ≥ -1

15.
Solve for t.

6t 
4 ≤ -2
a)
t ≤ -1 
b)
t ≤ 1
c)
t=1
d)
1=t
16.

Solve for x.


x4 + 2  6\frac{x}{4}\ +\ 2\ \le\ 6  

a)

x ≥ 16

b)

x ≤ 16

c)

x ≥ 32

d)

x ≤ 32

17.

Do I need to flip my sign?


-3x ≥ 12

a)

Yes, because I'll be dividing by a negative number

b)

No, because you never flip the sign.

18.

Solve for a.


-9a - 1 < 26

a)

a < -3

b)

a < 3

c)

a > -3

d)

a > 3

19.

Solve for x.


-4x + 1 > 21

a)

x > -5

b)

x < -5

c)

x > -80

d)

x < -80

20.

Solve for x.


x4 + 2 > 7\frac{x}{-4\ }+\ 2\ >\ 7  

a)

x < -20

b)

x > -20

c)

x > 20

d)

x < 20

21.
What inequality is shown?
a)
x ≥ -5 OR x < 4
b)
x ≤ -5 OR x > 4
c)
-5 ≤ x < 4
d)
-5 ≥ x > 4
22.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
23.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
24.
Less than or equal to:
a)
b)
<
c)
>
d)
25.
Greater than or equal to:
a)
<
b)
c)
d)
>
26.
Will my circle be colored in?
5 ≥ x
a)
Yes
b)
No
27.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
28.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
29.

What does "b" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

30.

What is the slope of the line with the equation
y = 32x + 4y\ =\ -\frac{3}{2}x\ +\ 4  

a)

32-\frac{3}{2}  

b)

32\frac{3}{2}  

c)

44  

d)

4-4  

31.

What is the y-intercept of the line with the equation
y = 2x + 4y\ =\ -2x\ +\ 4  

a)

2-2  

b)

22  

c)

44  

d)

4-4  

32.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
33.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
34.

Write the equation of the graph in slope-intercept form

a)

y=2x4y=-2x-4

b)

y=2x  4y=2x\ -\ 4

c)

y=12x4y=\frac{1}{2}x-4

d)

y=12x4y=-\frac{1}{2}x-4

35.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
36.

Graph the line with the equation
y = 23x + 4y\ =\ -\frac{2}{3}x\ +\ 4  

a)
b)
c)
d)
37.

Graph the line with the equation
y = 13x  4y\ =\ -\frac{1}{3}x\ -\ 4  

a)
b)
c)
d)
38.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
39.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
40.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
41.

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

42.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
43.

Identify the slope. (m = rise / run)

a)

43\frac{4}{3}  

b)

43-\frac{4}{3}  

c)

34\frac{3}{4}  

d)

34-\frac{3}{4}  

44.

Identify the slope. (m = rise / run)

a)

56-\frac{5}{6}  

b)

65-\frac{6}{5}  

c)

65\frac{6}{5}  

d)

56\frac{5}{6}  

45.

Rewrite this equation in slope intercept form (y = mx. + b):

x + y = -15

a)

x = -y -15

b)

y = -x + 15

c)

y = -x - 15

d)

y = x - 15

46.

Rewrite this equation in slope intercept form (y = mx. + b):

9x + 3y = -6

a)

3y = 9x -6

b)

y = -3x -2

c)

y = -9x - 6

d)

y = -3x +2

47.

Which is the graph of the equation ?

y=13x  2y=\frac{1}{3}x\ -\ 2  

a)
b)
c)
d)
48.

Which is the graph of the equation ?

y = 2x + 1y\ =\ -2x\ +\ 1  

a)
b)
c)
d)
49.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
50.

Which is the graph of the equation y = -2x + 1?

a)
b)
c)
d)
51.

Which graph best represents the equation y = -3x + 4?

a)
b)
c)
d)
52.

Which could be the graph of the equation y = 1/3x - 2?

a)
b)
c)
d)
53.

The y intercept is AWESOME! It helps us to know...

a)

Where our line will end.

b)

If our line is positive or negative.

c)

Where to begin graphing our line.

54.

When graphing, what do you do after you graph your y-intercept?

a)

Find slope and start with your run(left or right) then to rise (up or down)

b)

Find slope and start with your rise (up or down) then to run (left or right)

c)

Draw a vertical line

d)

Draw a horizontal line

55.

Reflection is when you ____ a shape.

a)

spin

b)

expand

c)

slide

d)

flip

56.

This image shows different aspects/elements of 'Transformation'. Please choose the correct sequence of the aspects and elements using the image.

a)

A. Rotation

B. Translation

C. Reflection

b)

A. Reflection

B. Translation

C. Rotation

c)

A. Translation

B. Rotation

C. Reflection

d)

A. Translation

B. Reflection

C. Rotation

57.

In a translation, a shape is moved or slided a long a straight line without turning.

a)

FALSE

b)

TRUE

58.

Choose the correct Transformation taking place in the image.

a)

Translation

b)

Rotation

c)

Reflection

59.

Which one of the following images of shapes/letters is showing REFLECTION?

a)
b)
c)
60.

Which one of the following is NOT an aspect of Transformation?

a)

Rotation

b)

Levitation

c)

Reflection

d)

Translation

61.

Which transformation happened?

a)

translation

b)

reflection

c)

rotation

62.

How would you describe this tranformation?

a)

rotation of 90 degrees

b)

reflection across x-axis

c)

reflection across y-axis

d)

translation right 6

63.

Describe the transformation from red to green arrow.

a)

Rotation 180 degrees clockwise

b)

translation 6 units to the right

c)

Reflection across the y-axis

d)

Rotation 90 degrees counter-clockwise

64.

Describe the transformation.

a)

translation (x-1, y+4)

b)

rotation of 180 degrees

c)

reflect across x = 4

d)

translation (x+4, y-1)

65.

Translation, Reflection and Rotation are all ______ tranformations.

a)

Rigid

b)

Non-Rigid

66.

Two figures that have the same shape and size are called ______________.

a)

congruent

b)

obtuse

c)

linear

d)

acute

67.

Check all that apply. Which transformation below are considered rigid transformations?

a)

Translation

b)

Rotation

c)

Dilation

d)

Reflection

68.

Describe the Translation of this shape, from A to A' :

a)

2 up, 2 left

b)

2 up, 2 right

c)

2 down, 2 right

d)

2 down, 2 left

69.

In this reflection picture, what is the mirror line or reflection line?

a)

y-axis

b)

x-axis

70.

The scale factor shows that this shape has been enlarged by?

a)

X 4

b)

X 3

c)

X 2

d)

X 5

71.

In this picture, describe how the shape has been translated from the right side over to the left side - by looking at the letter A

a)

A has moved 6 right, 3 up

b)

A has moved 5 left, 4 up

c)

A has moved 6 left 3 up

d)

A has moved 6 left 4 up

72.

Describe the rotation of the Pink diamond to the green diamond:

a)

90 degrees clockwise

b)

180 degrees clockwise

c)

360 degrees clockwise

73.

Compared to A, which shape has been enlarged by a scale factor of 3?

a)

B

b)

C

c)

F

d)

E

74.

In this reflection picture, where would the mirror line of reflection actually be?

a)

x-axis

b)

y-axis

c)

y=2

d)

x=2

75.
Triangle ABC is rotated 180 degrees clockwise around the origin and reflected over the y-axis. What is the quadrant of the final image?
a)
I
b)
II
c)
III
d)
IV
76.
Describe a sequence of transformations that maps figure A onto figure B.
a)
A translation 4 units right followed by a reflection across the x-axis
b)
A reflection across the x-axis followed by a reflection across the y-axis
c)
A reflection across the y-axis followed by a translation 6 units down
d)
A 90° counter-clockwise rotation about the Origin followed by a reflection across the y-axis
77.

Which transformation is shown?

a)

Translation

b)

Reflection over the x-axis

c)

Reflection over the y-axis

d)

90o clockwise rotation

78.

Which transformation is shown?

a)

Translation

b)

Reflection over the x-axis

c)

Reflection over the y-axis

d)

90o counterclockwise rotation

79.

Which transformation is shown?

a)

Translation

b)

Reflection over the x-axis

c)

Reflection over the y-axis

d)

180o rotation

80.

Which transformation is shown?

a)

Translation

b)

Reflection over the x-axis

c)

Reflection over the y-axis

d)

180o rotation

81.

What sequence of transformations could map ∆ABC onto its image ∆A''B''C''?

a)

a reflection followed by a rotation

b)

a reflection followed by a translation

c)

a translation followed by a rotation

d)

a translation followed by a reflection

82.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate -90 degrees cw around the origin

b)

Rotate 90 degrees cw around the origin and then translate down.

c)

Reflect across the x-axis and then reflect across the y-axis.

d)

Translate up and then rotate 90 degrees ccw about the origin.

83.

Which series of transformations were performed in the figure?

a)

Translation 5 units down, reflection over the y-axis

b)

Reflection over the x-axis, translation 6 units right

c)

Rotation 90o clockwise, reflection over the x-axis

d)

Rotation 180o clockwise, reflection over the y-axis

84.
Describe a sequence of transformations that maps figure A onto figure B.
a)
A translation 4 units right followed by a reflection across the x-axis
b)
A reflection across the x-axis followed by a reflection across the y-axis
c)
A reflection across the y-axis followed by a translation 6 units down
d)
A 90° counter-clockwise rotation about the Origin followed by a reflection across the y-axis
85.

Which transformation is shown?

a)

90o counterclockwise rotation

b)

Reflection over the x-axis

c)

Reflection over the y-axis

d)

90o clockwise rotation

86.

Which sequence of transformations will result from shape F to its image shape F''?

a)

Reflection over both axes

b)

Reflection, then rotation

c)

Translation, then reflection

d)

Rotation, then translation

87.

What sequence of transformations will map trapezoid A to its image A'?

a)

Reflection, then translation

b)

Rotation, then translation

c)

Reflection, then rotation

d)

Rotation, then dilation

88.
How many total people took the survey?
a)
50
b)
150
c)
100
d)
200
89.
What is the range of the data?
a)
4
b)
8
c)
6
d)
2
90.
Which fitness club has the greater range?
a)
Fun Fit
b)
Greg's Gym
c)
Neither
91.
What is the range?
a)
average
b)
biggest-smallest
c)
the middle #
d)
# happening the most
92.
What was the difference between Hannah's rehearsal time on Monday and Tuesday?
a)
0
b)
50
c)
30
d)
80
93.

Translations, rotations, and reflections are three different types of what?

a)

Transformations

b)

Geometry

c)

Vectors

d)

Shapes

94.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

95.

A slide is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

96.

A flip is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

97.

Congruent means...

a)

The same angles.

b)

The same size and same shape.

c)

Equal to.

d)

The same transformation.

98.

Describe the transformation in the image.

a)

Translation

b)

Reflection

c)

Rotation

99.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

100.

The mathematical term for the line that you reflect a shape over is the...

a)

Mirror

b)

Reflective tape

c)

Line that you reflect over

d)

Line of reflection