Question 1

Provide an appropriate response.
-Choose the expression that is equivalent to the following: 4(3a) + 4(8b)
A) 4(3a + 8b)
B) 8(11ab)
C) 8(3a + 8b)
D) 4(11ab)

Accepted Answer

The expression 4(3a) + 4(8b) can be simplified by factoring out the common factor of 4, resulting in 4(3a + 8b), which matches choice A.

Question 2

Simplify.
-
A) 
B) 1
C) 
D)

Accepted Answer

The answer of Simplify.
-
A) 
B) 1
C) 
D) ...

Question 3

Simplify.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Simplify.
-
A) 
B) 
C) 
D) ...

Question 4

Write the word or phrase that best completes each statement or answers the question.
-Choose the expression that is equivalent to the following: 
A) 
B) 
C) 1
D)

Accepted Answer

The answer of Write the word or phrase that best...

Question 5

Write the word or phrase that best completes each statement or answers the question.
-Is this statement true or false? Why?
(8 - 8) - 8 = 8 - (8 - 8)

Accepted Answer

Answers will vary.

Question 6

Simplify.
-(-8 - 7)[7 + (3 + 7)]
A) 28
B) 32
C) -115
D) -255

Accepted Answer

First, simplify inside the parentheses: (3 + 7) = 10. Then, add 7 to get (7 + 10) = 17. Now, multiply (-8 - 7) = -15 by 17 to get -255.

Question 7

Simplify.
-
A) 
B) 
C) 15
D) 2

Accepted Answer

The answer of Simplify.
-
A) 
B) 
C) 15
D) 2...

Question 8

Provide an appropriate response.
-Choose the expression that is equivalent to the following: 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Provide an appropriate response.
-Choose the expression that...

Question 9

Provide an appropriate response.
-Choose the expression that is equivalent to the following: (3x + 4y)(4y + 8x)
A) (3x + 8x)(4y + 4y)
B) (3x + 4y)(8x + 4y)
C) 11x + 8y
D) (3x + 4y)(8y + 4x)

Accepted Answer

The expression (3x + 4y)(4y + 8x) can be rearranged as (3x + 4y)(8x + 4y), which matches option B.

Question 10

Simplify.
-
A) -42
B) -14
C) 14
D) 42

Accepted Answer

The answer of Simplify.
-
A) -42
B) -14
C) 14
D) 42...

Question 11

Write the word or phrase that best completes each statement or answers the question.
-According to the rules for the order of operations, what should be the first step when simplifying the expression [-6 + (-9 + 7)] + (-7 + 6)?
A) find the sum of 7 and -7
B) find the sum of -9 and 7
C) find the sum of -6 and -9
D) find the sum of -6 and -7

Accepted Answer

According to the rules for the order of operations, parentheses should be simplified first. In the given expression, the first step is to simplify the expressions within the parentheses, starting with the innermost parentheses. Therefore, finding the sum of -9 and 7 is the correct first step.

Question 12

Provide an appropriate response.
-There is a distributive property for multiplication with respect to addition: a(b +C) = ab + ac. Is there adistributive property for division with respect to addition? If so, state the property.

Accepted Answer

There is no distributive property for division over addition in the same way there is for multiplication. The expression $ \frac{a + b}{c} $ cannot be simplified to $ \frac{a}{c} + \frac{b}{c} $ using a distributive property, as division does not distribute over addition in the same manner multiplication does.

Question 13

Provide an appropriate response.
-Choose the expression that is equivalent to the following: 6x + 2y
A) 8xy
B) 2(3x + y)
C) 2(4x + y)
D) 2(3x + 2y)

Accepted Answer

The expression 6x + 2y can be factored out by taking 2 as a common factor, resulting in 2(3x + y), which matches option B.

Question 14

Provide an appropriate response.
-Choose the expression that is equivalent to the following: 0 + 6a
A) 0
B) 6a
C) 6 + a
D) -6a

Accepted Answer

The expression "0 + 6a" simplifies directly to "6a" because adding zero to any number or expression does not change its value.

Question 15

Write the word or phrase that best completes each statement or answers the question.
-Is the integer 0 positive or negative? Explain.

Accepted Answer

The answer of Write the word or phrase that best...

Quiz 2: Introduction to Real Numbers and Algebraic Expressions

Provide an appropriate response. -Choose the expression that is equivalent to the following: 4(3a) + 4(8b)

Simplify. -

Simplify. -

Write the word or phrase that best completes each statement or answers the question. -Choose the expression that is equivalent to the following:

Write the word or phrase that best completes each statement or answers the question. -Is this statement true or false? Why? (8 - 8) - 8 = 8 - (8 - 8)

Simplify. -(-8 - 7) [7 + (3 + 7) ]

Simplify. -

Provide an appropriate response. -Choose the expression that is equivalent to the following:

Provide an appropriate response. -Choose the expression that is equivalent to the following: (3x + 4y) (4y + 8x)

Simplify. -

Write the word or phrase that best completes each statement or answers the question. -According to the rules for the order of operations, what should be the first step when simplifying the expression [-6 + (-9 + 7) ] + (-7 + 6) ?

Provide an appropriate response. -There is a distributive property for multiplication with respect to addition: a(b +C) = ab + ac. Is there adistributive property for division with respect to addition? If so, state the property.

Provide an appropriate response. -Choose the expression that is equivalent to the following: 6x + 2y

Provide an appropriate response. -Choose the expression that is equivalent to the following: 0 + 6a

Write the word or phrase that best completes each statement or answers the question. -Is the integer 0 positive or negative? Explain.