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Worksheets

Exam Review

Total questions: 70

Worksheet time: 2hrs 30mins

Name
Class
Date
1.
Is this a max or min?
a)
max
b)
min
c)
cannot be determined
2.

Factor as the product of two binomials.

x2+11x+18=x^2+11x+18=  

a)

(x+9)2\left(x+9\right)^2  

b)

(x+9)(x+2)\left(x+9\right)\left(x+2\right)  

c)

(x+3)2\left(x+3\right)^2  

d)

(x+2)(x2)\left(x+2\right)\left(x-2\right)  

3.

Factor completely.

7x2+35x+42=7x^2+35x+42=  

a)

(x+3)(x+2)\left(x+3\right)\left(x+2\right)  

b)

(x3)(x2)\left(x-3\right)\left(x-2\right)  

c)

(7x+3)(x+2)\left(7x+3\right)\left(x+2\right)  

d)

7(x+3)(x+2)7\left(x+3\right)\left(x+2\right)  

4.
What is another name for the x-intercepts of a quadratic?
a)
y-intercepts
b)
zeros
c)
x-axis
d)
none of these
5.

Identify the y-intercept

a)

(0, -3)

b)

(0, 1)

c)

(0, 3)

d)

(2, 1)

6.
What is the range of the graph?
a)
All real numbers
b)
To infinity and beyond
c)
y ≥ 0
d)
x ≥ 0
7.

Which of the following is the correct formula for distance?

a)

d=(y2y1)2+(x2x1)2d=\sqrt{\left(y_2-y_1\right)^2+\left(x_2-x_1\right)^2}  

b)

d=(y1y2)2+(x1x2)2d=\sqrt{\left(y_1-y_2\right)^2+\left(x_1-x_2\right)^2}  

c)

d=(y2y1) 2(x2x1)2d=\sqrt{\left(y_2-y_1\right)_{\ }^2-\left(x_2-x_1\right)^2}  

d)

d=(y2y1)2+(x2x1)2d=\left(y_2-y_1\right)^2+\left(x_2-x_1\right)^2  

8.

A(3,1) B(-2,-1) written correctly is:

a)

(23)2 + (11)2\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}

b)

(13)2 + (12)2\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}

c)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

d)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

9.
Find AM. 
a)
6
b)
26
c)
52
d)
-6
10.

Find the length of

HKHK

a)

-8

b)

4

c)

-4

d)

8

11.
Given that C is between A & B, which Segment Addition statement is correct?
a)
AC + AB = CB
b)
AC + CB = AB
c)
AB + BC = AC
d)
CA + CB = CA
12.
Find the value of KL. If KL = 3x + 2 and LM = 5x - 10.
a)
KL = 20
b)
KL = 16
c)
KL = 10
d)
KL = 9
13.
a)

YZ\overrightarrow{YZ}

b)

YZ\overleftarrow{YZ}

c)

ZY\overrightarrow{ZY}

14.
a)

True

b)

False

15.
a)

True

b)

False

16.
a)

2

b)

-4

c)

4

d)

12

17.
a)

80

b)

-80

c)

60

d)

4

18.
a)

27

b)

16

c)

7

d)

20

19.
a)

v

b)

w

c)

u

20.
a)

145°145\degree

b)

35°35\degree

c)

180°180\degree

21.
a)

130°130\degree

b)

145°145\degree

c)

130130

d)

15°15\degree

22.
x 2 = 2 x 9
a)
Commutative Property of Multiplication
b)
Associative Property of Multiplication
c)
Multiplicative Inverse Property
d)
Distributive Property
23.
Which property is used in the following expression?
(4 x 2) x 5 = 2 x (5 x 4)
a)
Associative Property of Addition
b)
Commutative Property of Addition
c)
Associate Property of Multiplication
d)
Distributive Property of Multiplication
24.

Which is an example of Distributive Property

a)

(3+4)+10

b)

5(9c + 8)

c)

12x2=2x12

d)

34+0=34

25.
Which property is used in the following number sentence?    4 + 0 = 4
a)
Additive Identity
b)
Zero Property
c)
Multiplicative Identity
d)
Associative Property of Addition
26.
Are these two expressions equivalent?
18 • 1 and 18
a)
Yes, because of the inverse property
b)
Yes, because of the commutative property
c)
Yes, because of the identity property
d)
No, these two expressions are not equivalent
27.

Which two angles would be classified as complementary angles.

A. 72

B. 55

C. 109

D. 35

a)

Angles A and B

b)

Angles B and C

c)

Angles D and B

d)

Angles A and C

28.

Which angles are alternate interior angles?

a)

2 and 3

b)

2 and 8

c)

4 and 6

d)

5 and 8

29.

If angle 3 measures 65 degrees, what is the measure of angle 7?

a)

65

b)

115

30.

What is the correlation between alternate interior angles?

a)

They are located in the exact same spot.

b)

They add together to get 180 degrees.

c)

They add together to get 90 degrees.

d)

They have the same angle measure.

31.

Adjacent angles are always congruent.

a)

True

b)

False

32.
What are complementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect.
33.
Are these angles an example of complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
34.
Find the missing angle.
a)
60
b)
70
c)
50
d)
140
35.
What is the measure of the missing angle?
a)
39
b)
129
c)
119
d)
129
36.
Which pair of angles are congruent?
a)
A and C
b)
C and L
c)
B and W
d)
D and W
37.
A line segment connecting any two points on a circle is called a _____________. 
a)
diameter
b)
chord
c)
radius
d)
circumference 
38.
What does "circumference" mean?
a)
Space a circle takes up
b)
Distance around a circle
c)
Line from one side of a circle to another
d)
Line from center of circle to side
39.
A diameter is also a chord. 
a)
True
b)
False 
40.
The distance all the way across the circle, but through the center, is called the...
a)
radius
b)
diameter
c)
circumference
d)
area
41.
The distance from the center of the circle to any point on the circle is called the...
a)
radius
b)
diameter
c)
circumference
d)
area
42.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
43.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
44.
What is the radius if the diameter is 10 m ?
a)
5
b)
20
c)
2
45.

Which is the center?

a)

K

b)

H

c)

JI\overline{JI}

d)

I

46.

Which is a chord?

a)

KL\overline{KL}  

b)

HG\overline{HG}  

c)

GI\overline{GI}  

d)

JL\overline{JL}  

47.

Another term for member of a set.

a)

element

b)

set

c)

set notation

d)

roster method

48.

If two sets have exactly the same elements, then they are (a)   .

49.

What operation on sets combine all the elements found in the sets selected?

a)

Union

b)

Intersection

c)

Complement

d)

Cardinality

50.

What type of set is denoted as either { } or ∅?

a)

Superset

b)

Disjointed Set

c)

Empty (or Null) Set

d)

Subset

51.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

52.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

53.

The Universal Set = { -4, -3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.

What is the complement of A?

a)

{-4, -3, -2, -1, 0, 1, 2, 3}

b)

{-3, -2, -1, 1, 2, 3}

c)

{-4, -3, -2, -1, 1, 2, 3, 4}

d)

{-4, -3, -2, -1, 1, 2, 3}

54.

Which of the following represents the shaded region?

a)

A union B

b)

A intersect B

c)

A ⊂ B

d)

B ⊂ A

55.

What does this symbol ( ∪ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

56.

If

P = {0, 1, 2, 3, 4}, Q = {4, 5, 6, 7}

R = {3, 6, 9}, and S = {6, 12, 18}

Then what is (P ∪ Q) ∩ (S ∪ R)?

a)

{6}

b)

{3, 6}

c)

{4, 6}

d)

{1, 2, 3, 4, 5, 6, 7, 9, 12, 18}

57.

What is the difference between a LINE SEGMENT and a LINE?

a)

Line Segments are two-dimensional, Lines are one-dimensional

b)

Lines can be represented on single planes; Line Segments can only be represented on multiple planes.

c)

Line Segments have finite lengths; Lines go on forever.

d)

Line segments are geometric figures; Lines are not.

58.
Part of a line. Has one endpoint and continues on forever in one direction.
a)
Line Segment
b)
Line
c)
Ray
d)
Point
59.

Which terms are considered undefined terms in Euclidean geometry?

a)

Point, plane, line segment

b)

Point, line, plane

c)

Line, plane, angle

d)

Point, line, ray

60.
An example of coplaner points
a)
D, E, B
b)
C, B, A
c)
M, E, C
d)
A, F, E
61.
Give another name for line b
a)
line a
b)
R
c)
line KL
d)
line HK
62.
How would you describe points I, L, C?
a)
collinear
b)
non-coplanar
c)
symmetric
d)
coplanar
63.
A plane containing point A.
a)
Plane DEA
b)
Plane k
c)
Plane CDF
d)
Plane F
64.
Name the intersection of planes ADF and EHG.
a)
Point E
b)
Point F
c)
Line EF
d)
Line FG
65.
What do you call rays with the same endpoint that form a line? 
a)
Opposite Rays
b)
Rays
c)
Segments
d)
Planes
66.
Name the intersection of Line c and Plane R
a)
Point J
b)
Line HK
c)
Point K
d)
Line MN
67.
Name a point non-coplanar to Plane R
a)
Point K
b)
Point M
c)
Point R
d)
Point H
68.
Name the intersection of planes P & R. Give the best answer.
a)
Point D
b)
Point A
c)
Line AB
d)
Line FG
69.

In a geometric system, which would best describe how postulates differ from theorems?

a)

Postulates do not require a proof and are presumed true, while theorems are statements requiring proof.

b)

Postulates are statements that require proof, while theorems cannot be proven.

c)

Both postulates and theorems do not require proof and are assumed to be true.

d)

There is no difference between postulates and theorems.

70.
Baymax's eyes make a...
a)
Line
b)
Line segment
c)
Ray
d)
Angle