Algebra
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Posttest
 
This test is meant to be taken after you've finished studying this Power Tactics book. This test will tell you how well you've mastered the material and what topics you still need to review.
 

1.    If x – 2 = 3x + 4, then x =

(A) –6
(B) –3
(C) –2
(D) 1
(E) 3
2.    If , then x could be which of the following?
(A) 4
(B) 3
(C) 2
(D) –1
(E) –2
3.    For all ,

(A) x – 2
(B) x – 7
(C) x + 2
(D) 7 – x
(E) 2 – x
4.    Marsha earns $9 an hour for the first 15 hours she works each week. She then earns $8 an hour for the next 25 hours she works during the same week. For every hour she works over 40 hours, she earns $7. How many hours did she work in a week if she made $475?

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5.    An automated knitting machine can make 10 sweaters in a half an hour. At this rate, how many hours would it take to make 160 sweaters?

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6.    The sum of integers x and y is 500. If y is divided by 2, the result is one-third of x. What is the value of x?

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7.    Tim and Alan both went to the pet food store. If Tim bought 2 bags of Tasty-Tails dried food and 1 can of Tasty-Tails canned food for $12.50 and Alan bought 1 bag of Tasty-Tails dried food and 4 cans of Tasty-Tails canned food at $13.25, which of the following is the cost of one can of Tasty-Tails canned food?
(A) $0.20
(B) $0.30
(C) $1.20
(D) $2.00
(E) $3.00
8.    Let a * b = ab + b, where . If 2 * b = b + 14, then b could be which of the following?
(A) 2
(B) 3
(C) 5
(D) 7
(E) 14
9.    Let x @ y be defined by the equation x @ y = 3x – . If 3 @ n = 2 @ 6, what is the value of n?
(A) 16
(B) 12
(C) 8
(D) 4
(E) 2
10.    If the function of m(x) = x + x2 and n(x) = 1 – x3, what is the function of m(n(2))?
(A) 24
(B) 42
(C) 96
(D) 196
(E) 256


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