Compass Practice B

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Compass Practice B

• Algebra Test

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B1. Which of these is the product of (a 2b) and
(c - d)?

• A. ac ad bc - 2bd
• B. ac - ad bc - 2bd
• C. ac - ad bc - 2bd
• D. ac - ad 2bc 2bd
• E. ac - ad 2bc - 2bd

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B1. Which of these is the product of (a 2b) and
(c - d)?
Answer E
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B2. If a -2 and b 3, what is the value of the
expression 3(a b)(a - b).

• A. -5
• B. 5
• C. 15
• D. -15
• E. 75

Answer D
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B3. This is a graph of which equation?

• A.
• B.
• C.
• D.
• E.

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B3. This is a graph of which equation?

• A.
• B.
• C.
• D.
• E.

Answer D
The x-intercept is (9, 0). Try this point in
both equations.
Notice first that the slope is going down
(negative). This eliminates B and C.
Notice that the y-intercept is positive 6. This
eliminates E.
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B4. What is the solution to the equation 2(x 3)
- 3(x 5) 13 ?

• A. -22
• B. -12
• C. -4
• D. 5
• E. 15

Answer A
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B5. Peggy gets paid a weekly salary of D dollars
a week plus a commission of 8 on her total sales
S. Which expression below best describes Peggys
weekly pay?

• A. D S
• B. 8D S
• C. D 8S
• D. D .08S
• E. .08(D S)

Convert 8 to decimal .08 and eliminate choices
A, B, and C.
Choice E would mean Peggy would only get 8 of
her salary D. And Peggy will not stand for
that!
Answer D
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B6. Which of these is the product of (D3 2D2 -
2D 3) and (D - 5) ?

• A. D4 2D3 - 2D2 3D
• B. D4 - 3D3 - 8D2 13D - 15
• C. D4 - 3D3 - 12D2 - 7D - 15
• D. D4 7D3 12D2 13D 15
• E. D4 - 3D3 - 12D2 13D - 15

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B6. Which of these is the product of (D3 2D2 -
2D 3) and (D - 5) ?

• This problem is asking you to multiply
• (D - 5) (D3 2D2 - 2D 3)
• First distribute the D through the polynomial.
• (D) (D3 2D2 - 2D 3) D4 2D3 - 2D2 3D
• Now distribute the -5
• (-5) (D3 2D2 - 2D 3) -5D3 - 10D2 10D - 15
• Combine like terms
• D4 2D3 - 2D2 3D - 5D3 - 10D2 10D - 15
• D4 - 3D3 - 12D2 13D - 15

Answer E
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B7. What is the distance from point A to point B?

• A. 13
• B. 85
• C.
• D.
• E.

A
B
12
B7. What is the distance from point A to point B?
Answer E
You can use the Pythagorean theorem to find the
distance. a2 b2 c2
A
First determine the length of the legs.
c
6
B
7
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B8. For all a ¹ 0 and b ¹ 0,

• A.
• B.
• C.

• D.
• E.

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B8. For all a ¹ 0 and b ¹ 0,
Answer D
First make all of the exponents positive.
Multiply by adding the exponents.
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B9. For all a, b, and c, (a3 b 2c)2
When raising a power to a power, multiply
exponents.

• A. a5b4c2
• B. a6b4c2
• C. a9b4c2
• D. a5b4c3
• E. 2a3b2c

(a3 b 2c)2 a3(2) b 2(2)c1(2) a6 b 4c2
Answer B
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B10. For all x, 3(2x 5) - 4(x - 2) 3(2x 2)
1

• A. x 9
• B. x -5
• C. x 4
• D. x 3
• E. x 0

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B10. For all x, 3(2x 5) - 4(x - 2) 3(2x 2)
1

• 3(2x 5) - 4(x - 2) 3(2x 2) 1
• 6x 15 - 4x 8 6x 6 1
• 2x 23 6x 7
• 16 4x
• 4 x

Answer C