AnswersWHS Pre-Algebra - MA3119 A-CRTopic Test

Topic Test Answers

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Which algebraic expression means “four less than three times a number”?

A
4 minus n cubed
Option A
B
3 n minus 4
Option B
C
4 minus 3 n
Option C
D
n cubed minus 4
Option D
2
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Kayla claims that the absolute value of a number is always greater than the number itself. Which statement about her claim is true?

A
Kayla is correct. Any positive number is greater than a negative, and absolute value of a number is always positive.
B
Kayla is correct. The distance between 0 and a number is always more than the number.
C
Kayla is incorrect. The absolute value of a positive number is negative, and negative numbers are less than positive numbers.
D
Kayla is incorrect. The absolute value of 0 or a positive number is equal to the number.
3

Vance used the associative property to find the equivalent expression of . His work is shown below. Did Vance apply the associative property correctly? Why or why not?

Question illustration
A
Yes, the terms with variables should be written first.
B
Yes, the terms can be regrouped and still be equivalent.
C
No, the order of the terms should have been changed.
D
No, the addition symbol was dropped in the second expression.
4

Kalinda is 68.7 inches tall and wants to know how many inches taller she is than Terrence. If t represents Terrence’s height in inches, which expression can she use to find the answer?

A
68.7 minus t
Option A
B
StartFraction t Over 68.7 EndFraction
Option B
C
StartFraction 68.7 Over t EndFraction
Option C
D
t minus 68.7
Option D
5

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
6

Which description matches the algebraic expression ?

Question illustration
A
the sum of a number and 45
B
the quotient of a number and 45
C
the product of a number and 45
D
the difference of a number and 45
7

Ethan claims that . Which statement about Ethan’s claim is true?

Question illustration
A
Ethan is correct because and so –7 + 3 = 4. Plot –7 on a number line, and move right 3 to get –4 on the line.
Option A
B
Ethan is incorrect because and so . Plot 7 on a number line, and move right 3 to get 10 on the line.
Option B
C
Ethan is incorrect because the absolute value bars are grouping symbols so first you must subtract. , and .
Option C
D
Ethan is correct because the absolute value bars are grouping symbols so first you must subtract. , and .
Option D
8

Tao wants to check that the expression 3(4x – 6) simplifies to 12x – 18. What is the value when 2 is substituted for x into both expressions?

A
The value of each expression is 2.
B
The value of each expression is 6.
C
The value of one expression is 2, and the value of the other expression is 6.
D
The value of one expression is 6, and the value of the other expression is –6.
9

Which expression is equivalent to ?

Question illustration
A
–15
B
–1
C
1
D
15
10

Which expression is equivalent to ?

Question illustration
A
p + q
Option A
B
p minus q
Option B
C
StartFraction p Over q EndFraction
Option C
D
q p
Option D
11

Which expression has a value of 16 when ?

Question illustration
A
StartFraction 25 Over n EndFraction + 7
Option A
B
30 minus 3 n
Option B
C
7 + StartFraction 45 Over n EndFraction
Option C
D
n cubed minus 114
Option D
12

Which expression has a value of 15 when ?

Question illustration
A
43 minus 5 n
Option A
B
3 n minus 5
Option B
C
6 n minus 28
Option C
D
19 minus StartFraction 28 Over n EndFraction
Option D
13

Which statement is true about the value of ?

Question illustration
A
StartAbsoluteValue 6 EndAbsoluteValue greater-than 6
Option A
B
StartAbsoluteValue 6 EndAbsoluteValue less-than 6
Option B
C
is the distance between 0 and 6, and the distance is always positive regardless of direction.
Option C
D
is the distance between 6 and 0, and the distance is negative from 6 to 0.
Option D
14

Which algebraic expression means “three more than a number squared”?

A
2 n + 3
Option A
B
2 n minus 3
Option B
C
n squared + 3
Option C
D
n squared minus 3
Option D
15

Giovanni justifies whether the expression –4x – 8 is equivalent to by letting in both expressions. What is the value of each expression when ?

Question illustration
A
3 and –20
B
4 and 4
C
–20 and –20
D
3 and 4
16

What is the simplified expression for the expression below? 7(x – 4) – 3(x + 5)

A
4x – 43
B
4x + 1
C
4x – 13
D
4x – 9
17

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
18

Henry divided his socks into five equal groups. Let s represent the total number of socks. Which expression and solution represent the number of socks in each group if ?

Question illustration
A
; when , the number of socks in each group is 4.
Option A
B
; when , the number of socks in each group is 15.
Option B
C
; when , the number of socks in each group is 4.
Option C
D
; when , the number of socks in each group is 15.
Option D
19

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
20

Which algebraic expression represents “the difference of fifty-four and seven times a number”?

A
54 minus 7 n
Option A
B
StartFraction 54 Over 7 n EndFraction
Option B
C
7 minus 54 n
Option C
D
54 + 7 n
Option D

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