Question 1

Identify the property illustrated by the expression.
-$- 5 ( 7 + 9 ) = - 5 \cdot 7 + ( - 5 ) \cdot 9$
A) associative property of addition
B) associative property of multiplication
C) commutative property of multiplication
D) distributive property

Accepted Answer

This expression illustrates the distributive property, which allows you to multiply a single term by each term inside a parenthesis separately.

Question 2

Identify the property illustrated by the expression.
-$\frac { 1 } { 4 } ( 4 ) = 1$
A) multiplicative inverse property
B) identity element for multiplication
C) distributive property
D) associative property of multiplication

Accepted Answer

The multiplicative inverse property states that a number multiplied by its reciprocal equals 1. In this case, $ \frac{1}{4} $ is the reciprocal of 4, and their product is 1, illustrating this property.

Question 3

Solve the problem.
-The temperature at a mountain resort was a frigid 8 degrees below zero in the morning, but by  noon it had risen 32 degrees. What was the temperature at noon? 
A) $40 ^ { \circ }$
B) $24 ^ { \circ }$
C) $- 24 ^ { \circ }$
D) $- 40 ^ { \circ }$

Accepted Answer

The temperature at noon was $8 + 32 = 40$ degrees above zero, which is $24 ^ { \circ }$.

Question 4

Provide an appropriate response.
-Find the reciprocal of $- \frac { 1 } { 29 }$.
A) 29
B) $\frac { 1 } { 29 }$
C) 1
D) $- 29$

Accepted Answer

The reciprocal of a number is 1 divided by that number. For $- \frac { 1 } { 29 }$, the reciprocal is $-29$, because $1 \div (- \frac { 1 } { 29 }) = -29$.

Question 5

Solve the problem.
-An NFL football team was 39 yards from the goal when the following series of gains and losses occurred.

During which down did the greatest loss of yardage occur?
A) third down
B) first down
C) fourth down
D) second down

Accepted Answer

The answer of Solve the problem.
-An NFL football team was...

Question 6

Provide an appropriate response.
-Find the opposite of $- 24$.
A) 24
B) 0
C) $- 24$
D) $- \frac { 1 } { 24 }$

Accepted Answer

The opposite of a number is its additive inverse, which means when added to the original number, the sum is 0. The opposite of $-24$ is $24$.

Question 7

Solve the problem.
-An NFL football team was 34 yards from the goal when the following series of gains and losses occurred.

Was a touchdown scored?

Accepted Answer

The answer of Solve the problem.
-An NFL football team was...

Question 8

Solve the problem.
-Noah Field decided to sell 350 shares of stock, which decreased in value by $3.50 per share  yesterday. How much money did he lose?
A) $346.50
B) $1225
C) $6125
D) $2450

Accepted Answer

Noah Field lost $3.50 per share on 350 shares, so the total loss is 350 shares * $3.50/share = $1225.

Question 9

Identify the property illustrated by the expression.
-$9 \cdot 3 = 3 \cdot 9$
A) commutative property of multiplication
B) associative property of multiplication
C) identity element for multiplication
D) distributive property

Accepted Answer

The commutative property of multiplication states that changing the order of the factors does not change the product, which is exactly what is illustrated by $9 \cdot 3 = 3 \cdot 9$.

Question 10

Solve the problem.
-Allied Health Provider is a health insurance provider. In three consecutive recent years, it had net  incomes of $335 million, $431 million, and -$154 million. What was Allied Health Provider's total Net income for these three years?
A) $250 million
B) $612 million
C) $920 million
D) $766 million

Accepted Answer

Allied Health Provider's total net income for the three years is $431 million + $335 million - $154 million = $612 million.

Quiz 1: Review of Real Numbers

Identify the property illustrated by the expression. - $- 5 ( 7 + 9 ) = - 5 \cdot 7 + ( - 5 ) \cdot 9$

Identify the property illustrated by the expression. - $\frac { 1 } { 4 } ( 4 ) = 1$

Solve the problem. -The temperature at a mountain resort was a frigid 8 degrees below zero in the morning, but by noon it had risen 32 degrees. What was the temperature at noon?

Provide an appropriate response. -Find the reciprocal of $- \frac { 1 } { 29 }$ .

Solve the problem. -An NFL football team was 39 yards from the goal when the following series of gains and losses occurred. During which down did the greatest loss of yardage occur?

Provide an appropriate response. -Find the opposite of $- 24$ .

Solve the problem. -An NFL football team was 34 yards from the goal when the following series of gains and losses occurred. Was a touchdown scored?

Solve the problem. -Noah Field decided to sell 350 shares of stock, which decreased in value by $3.50 per share yesterday. How much money did he lose?

Identify the property illustrated by the expression. - $9 \cdot 3 = 3 \cdot 9$

Solve the problem. -Allied Health Provider is a health insurance provider. In three consecutive recent years, it had net incomes of $335 million, $431 million, and -$154 million. What was Allied Health Provider's total Net income for these three years?

Quiz 1: Review of Real Numbers

Identify the property illustrated by the expression. - −5(7+9) =−5⋅7+(−5) ⋅9- 5 ( 7 + 9 ) = - 5 \cdot 7 + ( - 5 ) \cdot 9−5(7+9) =−5⋅7+(−5) ⋅9

Identify the property illustrated by the expression. - 14(4) =1\frac { 1 } { 4 } ( 4 ) = 141​(4) =1