AnswersPre-Algebra A-CRExpressions with and without Parentheses

Expressions with and without Parentheses Answers

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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
2
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What is the value of the expression “two less than six times the difference of a number and five” when n = 9?

A
22
B
16
C
32
D
31
3

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
4

Which description is paired with its correct expression?

A
seven less than the quotient of two and a number squared, increased by six;
Option A
B
nine times the difference of a number cubed and three;
Option B
C
eight more than the quotient of a number squared and four, decreased by seven;
Option C
D
twice the difference of a number cubed and eight;
Option D
5

Which expression correctly represents “three less than the product of a number and two, increased by five”?

A
2 n minus 3 + 5
Option A
B
3 minus 2 n + 5
Option B
C
3 minus (2 n + 5)
Option C
D
2 (n minus 3) + 5
Option D
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

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.
8

Which two operations are needed to write the expression that represents “four times the difference of a number and three”?

A
multiplication and subtraction
B
division and subtraction
C
multiplication and addition
D
division and addition
9

Which two operations are needed to write the expression that represents “eight more than the product of a number and two”?

A
multiplication and subtraction
B
division and subtraction
C
multiplication and addition
D
division and addition
10

Which two operations are needed to write the expression that represents “five less than the quotient of a number and three”?

A
multiplication and subtraction
B
division and subtraction
C
multiplication and addition
D
division and addition

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