COMPASS Practice Test A

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COMPASSPractice Test A

• Algebra Test

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A1. If x -1 and y 3, what is the value of the
expression 3x3 - 2xy ?

• A. -9
• B. -3
• C. 3
• D. 9
• E. 21

• 3(-1)3 - 2(-1)(3)
• 3(-1) - 2(-1)(3)
• -3 - (-6)
• -3 6
• 3
• Answer C

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A2. Which of the following expressions represents
the product of three less than x and five more
than twice x ?

• This question asks you to multiply the binomials
• 3 less than x (x - 3)
• five more than twice x (2x 5).
• (x - 3)(2x 5)
• 2x2 5x - 6x - 15
• 2x2 - x 15
• Answer D

• A. 2x2 11x 15
• B. 2x2 - 11x 15
• C. 2x2 x - 15
• D. 2x2 - x - 15
• E. 2x2 22x 15

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A3. A student earned scores of 83, 78, and 77 on
three of four tests. What must the student score
on the fourth test to have an average (arithmetic
mean) of exactly 80?

• A. 80
• B. 82
• C. 84
• D. 85
• E. 86

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A4. What is the equation of the line that
contains the points (2, 3) and (14 , - 6)?

• D.
• E.

• A.
• B.
• C.

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A4. What is the equation of the line that
contains the points (2, 3) and (14 , - 6)?
With this information we can finish the problem
with either the slope intercept or the point
slope.
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A4. What is the equation of the line that
contains the points (2, 3) and (14 , - 6)?
Click here to see different method.
Click here finish the problem.
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A4. What is the equation of the line that
contains the points (2, 3) and (14 , - 6)?
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A4. What is the equation of the line that
contains the points (2, 3) and (14 , - 6)?

• D.
• E.

• A.
• B.
• C.

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A5. For all x ¹ 4,
A. B. C.
D. E.
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A5. For all x ¹ 4,
Pay close attention to the signs. Every
possibility is covered in the distracters.
Answer e
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A6. A rope 36 feet long is cut into three pieces,
the second piece is four feet longer than the
first, the last peace is three times as long as
the second. If x represents the length of the
first peace, then which equation determines the
length of the first peace?

• Let x represent the first length.
• Then (x 4) represents the second.
• The third length is 3 times the second (not three
  times the first) 3(x 4).
• Therefore the equation is D
• x (x 4 ) 3(x 4) 36

• A. 36 5x 8
• B. 36 x (x 4) (3x)
• C. 36 3x 12
• D. 36 x (x 4) 3(x 4)
• E. 36 3x 16

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A7. The product (x2 3)(x - 1) is

• A. x3 3x2 - x - 3
• B. x2 2x - 3
• C. 3x - 3
• D. x3 - 3
• E. x3 - x2 3x - 3

• This is just a binomial times a binomial, FOIL
  problem.
• (x2 3)(x - 1)
• x3 - x2 3x - 3

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A8. In n is an integer which expression must be
an even integer?

• A. 2n 1
• B. 2n - 1
• C. n 1
• D. 2n2
• E. n2

• Most people will do a problem like this by
  process of elimination.
• If you plug any number into A or B you always get
  an odd number so we can eliminate them as
  possible answers.
• If you plug 3 into C you get an even number, but
  if you plug 4 into C you get an odd number, so
  eliminate it.

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A8. In n is an integer which expression must be
an even integer?

• A. 2n 1
• B. 2n - 1
• C. n 1
• D. 2n2
• E. n2

• If you plug any odd number into E you get an odd
  number.
• Therefore the only answer possible is D.
• Some people will think about the definition of
  even (any integer divisible by 2) and see that
  since 2n2 is a product of some number (n2) and 2
  that it will always be even.

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A9. If x -3, what is the value of 2x2 3x - 5 ?

• A. -22
• B. -6
• C. -5
• D. 4
• E. 22

• 2(-3)2 3(-3) - 5
• 2(9) 3(-3) - 5
• 18 - 9 - 5
• 4
• Answer D

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A10. Which of the following is the complete
factorization of 2x2 - 13x - 24 ?

• A. (2x - 6)(x 4)
• B. (x - 6)(2x 4)
• C. (2x - 3)(x - 8)
• D. (2x 3)(x - 8)
• E. 2(x 3)(x - 4)

• Answer D
• If you cannot factor just multiply out each of
  the distracters.

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End COMPASSPractice Test A

• Algebra Test