QUESTION: 17

If g > 0 and h < 0, which of the following is always positive?

gh
g + h
g h
|h| |g|
h2

Answer(s): C

Explanation:

A positive number minus a negative number will not only always be a positive number, but will also be a positive number greater than the first operand. gh will always be negative when one multiplicand is positive and the other is negative. g + h will be positive when the absolute value of g is greater than the absolute value of h, but g + h will be negative when the absolute value of g is less than the absolute value of h. |h| | g| will be positive when |h| is greater than g, but |h| |g| will be negative when |h| is less than g. hg will be positive when g is an even, whole number, but negative when g is an odd, whole number.

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QUESTION: 18

Which of the following number pairs is in the ratio 4:5?

Option A
Option B
Option C
Option D
Option E

Answer(s): B

Explanation:

Two numbers are in the ratio 4:5 if the second number is5/4times the value of the first number;1/4is5/4times the value of1/5.

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QUESTION: 19

When x= 3, the expression 2x2 + 3x 7 =

34.
27.
16.
10.
2.

Answer(s): A

Explanation:

Substitute 3 for x:2(3)2+ 3(3) 7 = 2(9) 9 7 = 18 16 = 34

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QUESTION: 20

What is the slope of the line 3y = 12x 3?

4
3
1
4
12

Answer(s): A

Explanation:

First, convert the equation to slope-intercept form: y= mx+b Divide both sides of the equation by 3:

The slope of a line written in this form is equal to the coefficient of the x term. The coefficient of the term is -4, so the slope of the line is-4

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