Placement Exam Compadre Academy
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This quiz will aid in accurately placing students into math courses.
- 1.Simplify 5.2 + 12.6
- A.
64.6
- B.
21
- C.
17.8
- D.
13.12
- 2.
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Simplify- A.
3/16
- B.
1/2
- C.
4/12
- D.
1/3
- 3.4 is a factor of 123.
- A.
True
- B.
False
- 4.4,852 divided by 4 is 1,213
- A.
True
- B.
False
- 5.What is the greatest common factor of 42 and 36?
- A.
7
- B.
6
- C.
12
- D.
1
- 6.From the following set of numbers, find the mean: {1, 3, 5, 8, 3}
- A.
5
- B.
7
- C.
2
- D.
4
- 7.From the following set of numbers, find the range: {5, 10, 9, 11, 14, 12, 35}
- A.
12
- B.
30
- C.
27
- D.
22
- 8.John has 5 different shirts, 6 different pants, and 3 baseball caps. How many different outfits can he wear?
- A.
30
- B.
14
- C.
90
- D.
18
- 9.If a bag of marbles contains 2 red, 3 blue, and 7 green marbles what is the probability of pulling a red marble out of the bag? Reduce to the simplest form.
- A.
2/12
- B.
7/12
- C.
3/12
- D.
1/6
- 10.Simplify: -13(6)
- A.
48
- B.
-78
- C.
78
- D.
-19
- 11.Simplify: 2×3-(4)2+2(4-7)
- A.
-16
- B.
-42
- C.
-22
- D.
40
- 12.If x = 5, what is the value of 3x – 5?
- A.
-10
- B.
10
- C.
15
- D.
20
- 13.Which number is an integer?
- A.
1/2
- B.
2.345...
- C.
0
- D.
12.57
- 14.Name the property illustrated by this statement: a + (b+c) = (a+b) + c
- A.
Commutative Property of Addition
- B.
Associative Property of Addition
- C.
Distributive Property
- D.
Identity Property of Addition
- 15.Solve for x: 2x – 4 = 12
- A.
X= 8
- B.
X= 16
- C.
X = 6
- D.
X = 10
- 16.Solve for y: 2y – 4 = 4y + 6
- A.
Y = 10
- B.
Y = 0
- C.
Y = -10
- D.
Y = -5
- 17.Solve for x: y=ax -b
- A.
X = ay-b
- B.
X = ay+b
- C.
X = (y+b)/a
- D.
X = (y-b)/a
- 18.Which equation describes the line containing the points (6,-8) and (4,-2)?
- A.
Y = -3x - 18
- B.
Y = -3x +10
- C.
Y=5x - 38
- D.
Y=3x - 10
- 19.Write the equation of the line that is perpendicular to y = 1/3x - 2 and passes through the point (3, -6)
- A.
Y = 1/3x - 6
- B.
Y = 1/3x - 7
- C.
Y = -3x - 6
- D.
Y = -3x + 3
- 20.Solve the system of equations: x = 4y + 1 2x + 2y = 12
- A.
(2,4)
- B.
(5,1)
- C.
(1,4)
- D.
(10,2)
- 21.Simplify: (2x2y5)(-4xy2) NOTE: Your answer will be reflected as x^n which is the same as xn
- A.
-8x^3y^7
- B.
8x^2y^7
- C.
-8xy^3
- D.
6x^10y^5
- 22.
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Solve for x- A.
X = -15
- B.
X = 1
- C.
X = -1
- D.
X = 15
- 23.
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State the coordinates of the vertex from the graph and whether it is a maximum or a minimum.- A.
(-1,3) is the minimum
- B.
(-1,3) is the maximum
- C.
(3, -1) is the minimum
- D.
(3, -1) is the maximum
- 24.Factor the following polynomial x2 - 5x + 6
- A.
(x-2)(x+2)
- B.
(x-3)(x-2)
- C.
(x+1)(x+6)
- D.
(x-1)(x-6)
- 25.
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Write the slope-intercept form of the equation of this line:- A.
Y = 3x - 3
- B.
Y = 3x + 3
- C.
Y = -3x - 3
- D.
Y = -3x + 3
- 26.If the measure of two angles of a triangle are 51 and 61 degrees. What is the measure of the third angle?
- A.
68 degrees
- B.
42 degrees
- C.
65 degrees
- D.
44 degrees
- 27.
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If ABC is reflected over the y-axis, what are the coordinates of C?- A.
(-5, 1)
- B.
(2, 1)
- C.
(-2, -1)
- D.
(5, -1)
- 28.
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Find the volume of the shape below:- A.
20 Units Cubed
- B.
250 Units Cubed
- C.
280 Units Cubed
- D.
70 Units Cubed
- 29.
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What is the area of the given shape?- A.
6Pi
- B.
12Pi
- C.
3Pi
- D.
36Pi
- 30.
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Use the Pythagorean Theorem to find the value of x.- A.
10
- B.
12
- C.
8
- D.
5
- 31.What is the distance between (5, 4) and (8, 8)?
- A.
12
- B.
5
- C.
6
- D.
-12
- 32.
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From the graph, what type of correlation exists for the given data?- A.
No Correlation
- B.
Positive Correlation
- C.
Zero Correlation
- D.
Negative Correlation
- 33.
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If l is parallel to m find measure of angle 2.- A.
74
- B.
106
- C.
16
- D.
36
- 34.
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Find the area of the following figure.- A.
10 square meters
- B.
14 square meters
- C.
20 square meters
- D.
8 square meters
- 35.
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What postulate states that the two triangles below are congruent?- A.
Side-Side-Side
- B.
Angle-Side-Angle
- C.
Side-Angle-Side
- D.
Angle-Angle-Side
- 36.
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Find the measure of < ACB- A.
56 degrees
- B.
112 degrees
- C.
72 degrees
- D.
62 degrees
- 37.
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Solve for x.- A.
15
- B.
45
- C.
30
- D.
27
- 38.
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Mark walked 15 blocks South and 8 blocks East to the store. How many blocks would he have travled by walking directly to the store?- A.
12
- B.
17
- C.
23
- D.
14
- 39.
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Find the surface area of this right cylinder.- A.
14Pi
- B.
40Pi
- C.
112Pi
- D.
96Pi
- 40.Find the circumference of a circle with diameter 7.
- A.
7Pi units
- B.
14Pi units
- C.
49Pi units
- D.
3.5Pi units
- 41.
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Give the special angle pair name for angles 2 and 6.- A.
Alternate Interior angles
- B.
Corresponding angles
- C.
Same Side Interior angles
- D.
Vertical Angles
- 42.
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Convert the following to degrees- A.
45 degrees
- B.
112 degrees
- C.
120 degrees
- D.
90 degrees
- 43.
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Find- A.
1/2
- B.
2/3
- C.
2
- D.
1.4
- 44.
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Find the real roots of- A.
-8, 2
- B.
-4, 4
- C.
-4, -4
- D.
2, 8
- 45.Simplify (2+3i)(2-3i)
- A.
4- 9i
- B.
13
- C.
4+9i
- D.
21
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