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SBA Project 2020 Week 2 Geometry Practice Test

Total questions: 100

Worksheet time: 9hrs 54mins

Name
Class
Date
1.
Simplify the following expression:
19 - ( 3 - 5b)
a)
16 + 5b
b)
21 + 5b
c)
16 - 5b
d)
21 - 5b
2.
Factor out the GCF
3x+15
a)
3(x+15)
b)
3(x+3)
c)
3(x+5)
3.
Sarah lives 5 miles farther from school than Grant. If g represents the distance Grant lives from school, which expression represents the total number of miles Sarah and Grant travel to school?
a)
(g + 5) + g
b)
(5 × g) + g
c)
(g + 5) + 5
d)
(5 × g) × 5
4.

Which property justifies rewriting

3x-5x as (3-5)x

a)

Associative property of multiplication

b)

Distributive Property

c)

Community Property of Subtraction

d)

Transitive Property

e)

Reflexive Property

5.

Simply:

a)

-8

b)

-4

c)

-2

d)

6/5

e)

2

6.

Find the value of the expression below when x=-4 and y=2

-3x2y+4x

a)

-112

b)

-88

c)

40

d)

-12x3y

e)

The expression is already simplified

7.
Simplify the following expression:
(5x4 - 3x + 8x2) - (8x4 - 7x2)
a)
13x4 - 3x + 1x2
b)
-3x4 + 15x2 - 3x
c)
-3x4 - 1x2 + 3x
d)
13x4 + 15x2 - 3x
8.
Simplify.
-5n + 2(4 - 5n)
a)
-15n + 8
b)
-5n - 2
c)
-5n + 9
d)
5n + 8
9.
Evaluate the expression when
x =5    and   z = 4
z2  - 2x
a)
6
b)
2
c)
17
d)
26
10.
Simplify the following expression:
-10x + 15 - 3x + 2
a)
13x2 + 17
b)
-13x2 + 13
c)
-13x + 17
d)
-7x + 17
11.
3y+6+4y-7=-8
a)
y=-1
b)
y=-8
c)
y=1
d)
y=7
12.
-2x-7+3x=10
a)
x=-2
b)
x=3
c)
x=10
d)
x=17
13.
10(h+1)-4=76
a)
h=10
b)
h=4
c)
h=7
d)
h=76
14.
Solve for v.
a)
60
b)
-3
c)
15
d)
3
15.
Solve for x.
a)
55
b)
60
c)
15
d)
35
16.
Laney pays $0.99 for each song she downloads from the Internet. In total, she paid $24.75 for songs from the Internet. How many songs does Laney download? 
a)
20 songs
b)
25 songs
c)
30 songs
d)
35 songs
17.
7(1 - y) = -3(y - 2)
a)
x = 1/4
b)
x = 4
c)
x = 5
18.
Translate: 
Four times a number plus six IS 30.
a)
4 + 6 = 30
b)
4x + 6 = 30
c)
x + 4 times 6 = 30
d)
30 = 4x
19.
The first side of a triangle is x feet long. The second side is three times the first, and the third side is two feet more than the second. Which expression represents the third side?
a)
3x
b)
x + 2
c)
3x + 2
d)
x + 3(2)
20.
Lauren has 188 songs on her iPod. This is five less than twice as many songs that Brad has. How many songs does Brad have on his iPod?
Which expression represents this problem?
a)
188 + 5 + 2s
b)
188 - 2s = 5
c)
5 - 2s = 188
d)
2s - 5 = 188
21.

Biased or Random?


John wants to find out what the favorite soda flavor is at Menifee County. He decides to ask all the students in Mr. Goldsmith's class as a sample group.

a)

Biased

b)

Random

22.

Biased or Random?


Reign wants to determine the most popular brand of cereal in all of Kentucky. So he polls all the houses on his street to get a sample.

a)

Biased

b)

Random

23.

Biased or Random?


Audi wants to find out how students get to school at Menifee Elementary so she places the names of all students into a fish bowl and pulls out 50 so she can survey them.

a)

Biased

b)

Random

24.

Biased or Random?


Alexis wants to learn what the most popular board game in the United States is, so she creates a poll and shares it on Twitter.

a)

Biased

b)

Random

25.

Biased or Random?


Jameson and Brevon want to determine the most popular Basketball player in all of Menifee County so they poll everyone at lunch.

a)

Biased

b)

Random

26.

Biased or Random?


Spencer wants to determine who the most popular Twitch.tv streamer in the United States is. So he hacks the U.S. Census and includes the question in the 2020 census form that goes to every household in America.

a)

Biased

b)

Random

27.

Biased or Random?


Cassandra and Isabella want to determine the favorite subject of all students in the middle school. So they place every middle school student's name in a bucket and choose 30 to poll.

a)

Biased

b)

Random

28.

Biased or Random?


Zane wants to determine the favorite candy among all 7th graders. So he asks all the people who sit in his row in Math class.

a)

Biased

b)

Random

29.

Biased or Random?


Tyler wants to find out what the most popular pet in all of Menifee Elementary so he puts every student's name into a bucket and polls 30 students.

a)

Biased

b)

Random

30.

Biased or Random?


Mr. Goldsmith wants to determine who the best teacher in all of Menifee County is, so he asks every 7th grader who their favorite teacher is.

a)

Biased

b)

Random

31.
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”? 
a)
2/7
b)
5/49
c)
5/7
d)
10/49
32.
A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?
a)
3
b)
1/10
c)
3/10
d)
30%
33.
Pablo chooses a colored marble from a mixed bag and writes down the color. Pablo leaves it out and then draws another.
a)
Independent
b)
Dependent
34.
Clara picks a marble at random, puts it back, and then picks another marble at random.
a)
Dependent
b)
Independent
35.
The chart below represents the number of marbles in a jar.
P(green) = 
a)
5/19
b)
10/28
c)
5/14
d)
10/39
36.

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red or a blue marble?

a)

1/2

b)

3/9

c)

2/27

d)

5/9

37.
If an event has an experimental  probability of 1, which of the following is true? 
a)
The event is always going to happen
b)
The event is more likely to happen than it is to not happen
c)
The event is unlikely to happen but could
d)
The event will never happen
38.

If a man is chosen at random, what is the probability that he favors sports cars?

a)

35%

b)

16.25%

c)

65%

d)

25%

39.

What is the probability of choosing an electrical engineer who likes math?

a)

33.9%

b)

48.6%

c)

16.5%

d)

21.7%

40.
What is the probability out of all those surveyed that they are either a sophomore or eat pizza?
a)
11/50
b)
2/5
c)
13/25
d)
1/10
41.

If I want to show two lines are parallel what formula do I use?

a)

Slope

b)

Distance

c)

Midpoint

d)

Pythagorean Theorm

42.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

43.

What formula would you use to prove if the opposite sides of figure ABCD is parallel?

a)

slope

b)

distance

c)

midpoint

d)

Pythagorean Theorm

44.

What shape has one pair of parallel sides and non parallel sides are congruent?

a)

Trapazoid

b)

Rhombus

c)

Rectangle

d)

Isosceles trapezoid

45.

What is the slope of the line shown?

a)

6/11

b)

-6/11

c)

-11/6

d)

11/6

46.

Is the line through points P(–3, –2) and Q(2, 3) perpendicular to the line through points R(10, –1) and S(15, –6)? Explain.

a)

No, their slopes are not opposite reciprocals.

b)

No, their slopes are not equal.

c)

Yes, their slopes are opposite reciprocals.

d)

Yes, their slopes are equal.

47.

Give the most precise classification for the quadrilateral.

a)

parallelogram

b)

rhombus

c)

kite

d)

rectangle

48.

Give the most precise classification for the quadrilateral.

a)

parallelogram

b)

isosceles trapezoid

c)

rectangle

d)

trapezoid

e)

kite

49.

What is the length of QR?

a)

2b

b)

2a

c)

a+b

d)

4a

50.

What are the coordinates of point Q?

a)

(a,b)

b)

(a/2, b/2)

c)

(a,2b)

d)

(-a,-b)

51.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation (x-7,y)

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90o counter clockwise Rotation

e)

Translation (x+7,y)

52.

Identify the transformation from C to D. Check ALL that apply

a)

90o Clockwise Rotation

b)

180o Rotation

c)

270o Clockwise Rotation

d)

270o Counter-Clockwise Rotation

e)

90o Counter-Clockwise Rotation

53.

An office supply store sells index cards in two different sizes. The large size is an enlargement of the small size. Both sizes are shown. Find the scale factor of the enlargement.

a)

2

b)

3

c)

1/2

d)

1/3

e)

Not enough information

54.

Square ABCD is reflected about side BC. Which of the following statements are true?

a)

BC is parallel to AA'

b)

Vertex B is the midpoint of AA'.

c)

The length of CD' is twice the length of DD'

d)

Vertex C and C' are located at 2 different points.

e)

CB is parallel to the points of reflections

55.

What is the lowest degree of rotation greater than 0° that will carry the hexagon onto itself?

a)

90 degrees

b)

180 degrees

c)

270 degrees

d)

360 degrees

e)

None of these rotations would create the original hexagon

56.

Which pair have a line of reflection of x = -3?

a)

A & B

b)

B & C

c)

G & H

d)

E & F

e)

D & F

57.

Name the series of transformations that maps ABC onto DEF

a)

reflect over x then translate left 6 up 1

b)

reflect over y then translate down 6 left 1

c)

translate right 6 down 1, then reflect over x

d)

rotate 90 clockwise then reflect over y

e)

rotate 180 degrees, then left 2 and down 1

58.

Describe the transformations that map ABC onto A"B"C"

a)

translate 5 up and 1 left then reflect over y

b)

translate 5 down and 1 left, then reflect over y

c)

reflect over y=x then translate left 8

d)

reflect over x then rotate 90 clockwise

e)

reflect over the x-axis then translate 4 to the right

59.

Which transformation will map the rectangle onto itself?

a)

90 degree rotation about (-2,1)

b)

540 degree rotation about (-2,1)

c)

reflection across the y-axis

d)

reflection across the blue line

e)

reflection across the x-axis

60.

Select each answer choice that will map the regular polygon onto itself?

a)

36 degree rotation

b)

90 degree rotation

c)

180 degree rotation

d)

252 degree rotation

e)

270 degree rotation

61.

Match the graph with its inequality. hint: don't be tricked by the variable on the right.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

62.
Which inequality is represented by this graph? hint: don't be tricked by the variable on the left
a)
 2.75 > d
b)
2.75 < d
c)
2.75 ≥ d
d)
2.75 ≤ d
63.
x is no more than 100
a)
x ≤ 100
b)
x ≥ 100
c)
x < 100
d)
x > 100
64.
What inequality does the number line graph represent?
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
65.
m - 5 > 10
a)
m is less than 15
b)
m is greater than 5
c)
m is greater than 15
d)
m is less than 5 
66.
4x - 2 ≤ -22
a)
x ≥ -5
b)
x ≥ -6
c)
x ≤ -6
d)
x ≤ -5
67.
6 - 2h > 30
a)
h < 24
b)
18 > h
c)
h > 12
d)
h < -12
68.
a)
x > 2
b)
x > 5
c)
x >15
d)
x > 50
69.
Pheobe has $500 in a savings account at the beginning of the summer. She wants to have at least $200 in account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Write an inequality that represents Pheobe's situation.
a)
200+25w ≥ 500
b)
500-25w ≥ 200
c)
500+25w ≤ 200
d)
200-25w ≤ 500
70.
Twice a certain number, increased by 5, is less than three times the same number.
a)
2x + 5 > 3x
b)
2x + 5 < 3x
c)
2x + 5 ≤ 3x
d)
2x + 5 ≥ 3x
71.
A party hat has a diameter of 18 centimeter and a height of 25 centimeter. Find the volume of air it can occupy.
a)
5221.5
b)
1255.5
c)
2229.5
d)
2119.5 cm
72.
A cereal box is 12cm tall.  The area of the base is 7cm.  What is the volume?
a)
84 cm2
b)
84 cm3
c)
83 cm
d)
84
73.
Find the volume of the following cone.
a)
156 ∏ m3
b)
702∏ m3
c)
2,106∏ m3
d)
78∏ m3
74.
Find the volume of the figure.
a)
126 cm3
b)
907.5 cm3
c)
605 cm3
d)
55 cm3
75.
Find the volume of the figure. Round to the nearest whole number.
a)
317 units³
b)
635 units³
c)
1,904 units³
d)
890 units³
76.
Find the volume
a)
40π m³
b)
160π m³
c)
400π m³
d)
100π m³
77.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
5572.45 cm3
b)
506.59 cm3
c)
126.65 cm3
d)
1393.11 cm3
78.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
179.50 cm3
b)
205.15 cm3
c)
51.29 cm3
d)
1436.03 cm3
79.
2. The figure shows a circle inside a triangle.  Which equation could be used to find the area of the shaded region?
a)
A = ½bh - 2πr
b)
A = πr² - ½bh
c)
A = ½bh - πd
d)
A = ½bh - πr²
80.
7. Which of the following is closest to the area of the figure shown?
a)
420 cm2
b)
521 cm2
c)
320 cm2
d)
1,124 cm2
81.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
10
c)
4
d)
5
82.
Solve for X
a)
22
b)
16
c)
40
d)
35
83.
Which is NOT a property of a parallelogram?
a)
Diagonals bisect each other
b)
Diagonals are congruent
c)
Both pairs of opposite sides are parallel
d)
Both pairs of opposite angles are congruent
84.

What is the correct area of the parallelogram?

a)

20 square units

b)

15 square units

c)

35 square units

d)

12 square units

85.

What is the error?

a)

Area requires to divide by the base.

b)

Do not multiply area by 1/2.

c)

The base is not 14 units.

d)

The height is not 11 units.

86.

Sally won an award in the shape of a parallelogram with an area of 735 squared centimeters. The base is 35 centimeters long. What is the length of the height?

a)

35 centimeters

b)

15 centimeters

c)

21 centimeters

d)

25 centimeters

87.
Given Rhombus TUVW. Find m∠2.
a)
62
b)
28
c)
90
d)
78
88.
If m∠B is 54° what is the m∠CDB?
a)
54°
b)
27°
c)
108°
d)
36°
89.
If BA=5x+5 and AD=10x-20, find BD.
a)
60
b)
30
c)
5
d)
10
90.
If the figure is a rectangle, the value of x is...
a)
2
b)
12
c)
13
d)
28
91.
Find the measure of angle E.
a)
9
b)
97°
c)
48°
d)
79°
92.
Find the sum of the interior angles of a nonagon.
a)
1260
b)
900
c)
1620
d)
180
93.
Find the measure of ONE interior angle of a regular dodecagon.
a)
150
b)
120
c)
1800
d)
20
94.
A polygon's interior angles add up to 2700.  How many sides does the polygon have?
a)
17
b)
15
c)
19
d)
11
95.
Find the number of sides of a regular polygon with one interior angle measuring 165⁰
a)
24
b)
22
c)
26
d)
20
96.
Find the value of the variable(s).
a)
x = 88
b)
x = 176
c)
x = 90
d)
x = 174
97.
What is the value of x?
a)
26.25
b)
38.75
c)
24
d)
25.125
98.
What is the measure of one EXTERIOR angle of a regular octagon?
a)
60
b)
45
c)
1080
d)
135
99.
Calculate the sum of the interior angle measures of a polygon with 16 sides.
a)
2880 degrees
b)
2520 degrees
c)
344 degrees
d)
360 degrees
100.
What is the measure of ONE interior angle in a regular pentagon (5-sides)?
a)
90°
b)
108°
c)
120°
d)
180°

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