Placement Exam Compadre Academy

45 Questions | By Jasontourville | Last updated: Jan 24, 2013

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This quiz will aid in accurately placing students into math courses.

Questions and Answers

1.

Simplify 5.2 + 12.6
- A.
  
  64.6
- B.
  
  21
- C.
  
  17.8
- D.
  
  13.12
2.

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.

Solve for x
- A.
  
  X = -15
- B.
  
  X = 1
- C.
  
  X = -1
- D.
  
  X = 15
23.

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.

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.

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.

Find the volume of the shape below:
- A.
  
  20 Units Cubed
- B.
  
  250 Units Cubed
- C.
  
  280 Units Cubed
- D.
  
  70 Units Cubed
29.

What is the area of the given shape?
- A.
  
  6Pi
- B.
  
  12Pi
- C.
  
  3Pi
- D.
  
  36Pi
30.

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.

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.

If l is parallel to m find measure of angle 2.
- A.
  
  74
- B.
  
  106
- C.
  
  16
- D.
  
  36
34.

Find the area of the following figure.
- A.
  
  10 square meters
- B.
  
  14 square meters
- C.
  
  20 square meters
- D.
  
  8 square meters
35.

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.

Find the measure of < ACB
- A.
  
  56 degrees
- B.
  
  112 degrees
- C.
  
  72 degrees
- D.
  
  62 degrees
37.

Solve for x.
- A.
  
  15
- B.
  
  45
- C.
  
  30
- D.
  
  27
38.

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.

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.

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.

Convert the following to degrees
- A.
  
  45 degrees
- B.
  
  112 degrees
- C.
  
  120 degrees
- D.
  
  90 degrees
43.

Find
- A.
  
  1/2
- B.
  
  2/3
- C.
  
  2
- D.
  
  1.4
44.

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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