AnswersPre-Algebra - MA3119 A Distance LearningAdding Integers

Dividing Integers Answers

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Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stops to see how much farther he has to go. If Yan made 8 stops with no extra steps, which expression best shows another way to write the product of the number of ladder rungs that Yan climbed?

A
4 + 4 + 4 + 4
Option A
B
8 + 8 + 8 + 8
Option B
C
(Negative 1) (4 + 4 + 4 + 4)
Option C
D
(Negative 8) + (negative 8) + (negative 8) + (negative 8)
Option D
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Which point on the number line represents the product ?

Question illustration
A
Point A
B
Point B
C
Point C
D
Point D
3

How is the product of 2 and –5 shown on a number line?

A
A number line going from negative 10 to positive 10. An arrow goes from 0 to 5 and from 5 to 10.
Option A
B
A number line going from negative 10 to positive 10. An arrow goes from 10 to 5 and from 5 to 0.
Option B
C
A number line going from negative 10 to positive 10. An arrow goes from negative 10 to negative 5 and from negative 5 to 0.
Option C
D
A number line going from negative 10 to positive 10. An arrow goes from 0 to negative 5 and from negative 5 to negative 10.
Option D
4

Yan is climbing down a ladder. Each time he descends four rungs on the ladder, he stops to see how much farther he has to go. Which word in the problem indicates that a negative integer should be used?

A
climbing
B
stops
C
descends
D
farther
5

How is the product of 3 and –2 shown using integer tiles?

A
3 positive tiles and 2 negative tiles.
Option A
B
3 negative tiles and 2 positive tiles.
Option B
C
3 sets of 2 negative tiles.
Option C
D
3 sets of 2 positive tiles.
Option D
6

At 4 p.m., the temperature started to change drastically. Each hour, for three hours, the temperature decreased by 7°F. Which expression best shows another way to write the product for the temperature change?

A
7 + 7 + 7
Option A
B
7 + 7 + 7 + 7
Option B
C
(Negative 1) (7 + 7 + 7)
Option C
D
(Negative 7) + (Negative 7) + (Negative 7) + (Negative 7)
Option D
7

Which shows two expressions that are equivalent to ?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
8

Laurie was scuba diving. Each time she dove 5 feet deeper, she would stop and clear her ears. Each time that this totaled 20 feet deeper, she would stop and check her instruments to make sure they were working properly. After Laurie had checked her instruments 3 times, she was at her maximum depth. Which expression best represents Laurie’s maximum depth?

A
(4) (negative 5) (3)
Option A
B
(Negative 4) (Negative 5) (Negative 3)
Option B
C
(Negative 5) (20) (3)
Option C
D
(Negative 5) (Negative 20) (Negative 3)
Option D
9

How is the product of 3 and 2 shown on a number line?

A
A number line going from negative 7 to positive 7. An arrow goes from 0 to 3 and from 3 to 6.
Option A
B
A number line going from negative 7 to positive 7. An arrow goes from 6 to 3 and from 3 to 0.
Option B
C
A number line going from negative 7 to positive 7. An arrow goes from negative 6 to negative 3 and from negative 3 to 0.
Option C
D
A number line going from negative 7 to positive 7. An arrow goes from 0 to negative 3 and from negative 3 to negative 6.
Option D
10

What is the product of any integer and –1?

A
The product is the opposite of the integer.
B
The product is the integer unchanged.
C
The product is positive.
D
The product is negative.

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