Chapter 9 All About Zero's

Question 1

When multiplying or dividing two terms, the result will be NEGATIVE if the terms are…?

Answer 1

If the two terms have DIFFERENT signs

One positive and one negative

Question 2

Will you get a positive or negative answer?

Positive x positive

8 x 8

Answer 2

Positive

64

Question 3

Will you get a positive or negative answer?

Positive/positive

8/8

Answer 3

Positive

1

Question 4

Will you get a positive or negative answer?

Negative x negative

-2 x -6

Answer 4

Positive

12

Question 5

Will you get a positive or negative answer?

Negative/negative

-16/-8

Answer 5

Positive

2

Question 6

Will you get a positive or negative answer?

Negative x positive

-2 x 12

Answer 6

Negative

-24

Question 7

Will you get a positive or negative answer?

Negative/positive

-12/2

Answer 7

Negative

-6

Question 8

Will you get a positive or negative answer?

Positive x negative

6 x -2

Answer 8

Negative

-12

Question 9

Will you get a positive or negative answer?

Positive/negative

6/-2

Answer 9

Negative

-3

Question 10

If 1/y-x is less than zero, which is true?

A) y>0

B) x>0

C) xy>0

D) y>x

E) x>y

Answer 10

E is the answer!!!!!!!

Algebraically y-x<0
-add x to both sides: y

Question 11

When multiplying or dividing two terms, the result will be POSITIVE if the terms are…?

Answer 11

The SAME sign

Both positive or both negative

Question 12

X is not equal to 0

Quant. A:
X^16+1

Quant. B:
0

-Determine if the exponent is even or odd, then compare them.

Answer 12

Since the exponent on x^16 is even,
X^16>0

That means quantity A is bigger!

Question 13

Q is an integer

Quantity a:
(-4,012)^2Q

Quantity b:
(-4,012)^2Q+1

• in both quantities the base is negative, so look at the exponents.
• which one is even and which one is odd?
• if the exponent is even or odd what does it mean? Which one will be positive and which one will be negative?

Answer 13

Quantity A

-since the exponent in quantity A is even, the solution would end up being a positive number. Therefore that one is bigger!

Question 14

X>y

XY is not equal to 0

Quant. A: x^2

Quant B: y^2

• since they have the same exponent, you are given a clue that you’re addressing properties of positive and negative numbers!
• choose positive and negative numbers for BOTH x and y

Answer 14

The relationship cannot be determined. So the answer is “D”

Case 1: x is 3 and y is 2
A= 9 and B = 4
-answer could be a or d

Case 2: x is 3 and y is -2
A= 9 and B= 4
-a is still greater

Case 3: x is -5 and y is -6
A=25 and B=36
-a is no longer greater so the answer is D