AnswersPre-Algebra A-CRExpressions with and without Parentheses

Expressions with and without Parentheses Answers

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Which expression correctly represents “twice the sum of four and a number”?

A
2 (4 + n)
Option A
B
2 (4 n)
Option B
C
2 (4) + n
Option C
D
2 + (4 n)
Option D
2
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Which description is paired with its correct expression?

A
four less than the quotient of a number cubed and seven, increased by three;
Option A
B
five times the difference of a number squared and six;
Option B
C
nine more than the quotient of six and a number cubed, decreased by four;
Option C
D
twice the difference of nine and a number squared;
Option D
3

What is the value of the expression when n = 14?

Question illustration
A
46
B
56
C
80
D
134
4

Which expression correctly represents “ten times the difference of a number and six”?

A
10 (n minus 6)
Option A
B
10 (6 minus n)
Option B
C
10 (n) minus 6
Option C
D
10 (6) minus n
Option D
5

Which is a correct statement about the description “two less than the quotient of a number cubed and sixteen, increased by eight” when n = 4?

A
The correct expression is .
Option A
B
The correct expression is .
Option B
C
One of the steps to determining the value when n = 4 is .
Option C
D
One of the steps to determining the value when n = 4 is .
Option D
E
The value when n = 4 is 6.
F
The value when n = 4 is 7.
G
The value when n = 4 is 9.
H
The value when n = 4 is 10.
6

What is the expression and value of “six less than nine times the sum of a number and eight” when n = 5?

A
; when n = 5, the value is 111.
Option A
B
; when n = 5, the value is 111.
Option B
C
; when n = 5, the value is 47.
Option C
D
; when n = 5, the value is 47.
Option D
7

Grace was given the description “three less than the quotient of a number squared and nine, increased by eight” and was asked to evaluate it when n = 6. Her work is shown below.Step 1: Step 2: Step 3: Step 4: Step 5: 7In which step did she make an error?

Question illustration
A
step 1
B
step 2
C
step 4
D
step 5
8

What is the value of “twelve more than the quotient of a number and two, decreased by four” when n = 4?

A
4
B
6
C
10
D
14
9

Which is a correct statement about the description “two less than the quotient of a number cubed and nine, increased by twelve” when n = 3? Select the three correct answers..

A
The correct expression is .
Option A
B
The correct expression is .
Option B
C
One of the steps to determining the value when n = 3 is .
Option C
D
One of the steps to determining the value when n = 3 is .
Option D
E
The value when n = 3 is 11.
F
The value when n = 3 is 13.
G
The value when n = 3 is 15.
H
The value when n = 3 is 17.
10

What is the value of the expression “eight more than three times the difference of four and a number” when n = 3?

A
44
B
19
C
17
D
11

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