MDV 4909Math_Practice_Exam

Math Self-Evaluation
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Show all work clearly and circle answers.


1. Simplify:


a. 18 - 9 x (-4) ÷ 3 + 10 x 2


b. (32 - 22)3 + 42 ÷ 6 x 32 - 9


c. 4 3 ÷ 2 - 23 x 6 + 8(-1)10


2. Evaluate:


a. -4b - 2 - 3a - 1 for a = 4, b = 5
4a 5b - 3


b. 3x2y - 2xy2 + 10xy - 15y for x = -5, y = 3


3. Simplify and combine like terms:


a. 15x 2y - 4(-2xy 2 - 9xy ) + 12xy 2 - 8xy - 9x


b. (8x - 5)(x 2 + 6x )- (9x + 2)(4x 2 - 3x )


c. (1- x )3


4. Solve for the given variable:


a. 6y - 5 = -2y + 9


b. 6(3n - 9) + 45 = 12 - 4(9 - 2n)


c. 3x + 4 = 5
x-2 6


d. 8t - 6t - 1 = 5
2


e. 4 - x = 0
x 8




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, 5. Separate the constants from the following terms:


a. - 2a
3
b.
(-3x) 2

c. -1
7 8 5x


6. Express the following using inverse notation:


1 2 -1
a. b. c. 4t - 7 2
5x3 n+1 ( )

7. Simplify:


a. 9 -2 x 62 c. (8x7y2)(2x -1y-6)3




48a -4b 6
( 3a2b
)
3
b. - d.
144a 5b -3 2ab -3


8. Factor:


a. 5x2 - 80


b. a2 - 7a + 12


c. 18x 4y 2 + 21x 5y - 6x3y2


9. Solve for the given variables:


a. (5x + 8)(12 - 12x) = 0


b. 3x 3 -12x 2 - 96x = 0


c.
{ 8x - 7y = -9
-3x + 4y = 2


10. Simplify:


-12t 7 + 18t 9
a. c. 27a 3b 3 * 3a 3b 9
-6t 3



75a 8b
b. 2x3 - 4x
2
d.
2x - 8x 3a 4b -3




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