Question # 1

Resolve into factors: 81x²y² + 108xyz + 36z².

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(6xy + 9z)²

(9xy - 7z)²

(9xy + 6z)²

None of these

If 5x² - 4x - 1 is divided by x - 1, the remainder is

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0

2

1

None of these

if 3 < x < 7 and -12<y<-6, what are all possible values of xy ?

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-72 < xy < -21

-84 < xy < -18

-22 < xy < -36

-22 < xy < -42

If 4^a = 8^b, what is the ratio of a to b ?

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1/2

2/3

3/2

2/1

4/1

If ax - b = c - dx, what is the value of x in terms of a, b, c, and d?

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b+c/a+d

c-b/a-d

b+c-d/a

c-b/a+d

c/b - d/a

What is the greater of two numbers whose product is 900, if the sum of the two numbers exceeds their difference by 30 ?

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15

60

75

90

100

How many seconds longer does it take to drive 1 mile at 40 miles per hour than at 60 miles per hour ?

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15

30

40

60

90

Solution set of |2x| = 6 is :

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{3, -3}

{3}

{0, 3}

{-3, 0}

Resolve into factors: 16(x-y)² - 9(x+y))²

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(x-5y)(5x-y)

(x + 7y)(7x + y)

(x - 7y)(7x - y)

None of these

When (x³ - 2x² + px - q) is divided by x² - 2x - 3 the remainder is (x - 6). The values of p and q are:

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p = -2, q = -6

p = 2, q = -6

p = -2, q = 6

p = 2, q = 6

As a fund-raiser, the school band was selling two types of candy: lollipops for 40 cents each and chocolate bars for 75 cents each. One Monday, they sold 150 candies and raised 74 dollars. How many lollipops did they sell ?

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75

90

96

110

120

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