AnswersPre-Algebra - MA3119 A Distance LearningExpressions with More Than One Operation

Expressions with and without Parentheses Answers

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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
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

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
4

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
5

What is the value of the expression when n = 3?

Question illustration
A
15
B
20
C
36
D
38
6

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.
7

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
8

What is the expression and value of “six less than the quotient of a number and two, increased by ten” when n = 20?

A
; when n = 20, the value is 14.
Option A
B
; when n = 20, the value is 6.
Option B
C
; when n = 20, the value is 17.
Option C
D
; when n = 20, the value is 3.
Option D
9

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
10

Which expression correctly represents “six more than the product of five and a number, decreased by one”?

A
6 + 5 n minus 1
Option A
B
6 + 5 + n minus 1
Option B
C
6 + 5 (n minus 1)
Option C
D
(6 + 5) n minus 1
Option D

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