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Celia simplified the expression . She checked her work by letting in both expressions. Her work for the original expression is shown below.Celia knows that the simplified expression should also equal 28 when . Which shows Celia’s simpllifed expression?

Question illustration
A
–6x – 1
B
–6x + 2
C
6x + 1
D
6x – 2
2
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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
3

Which expression is equivalent to 6(x – 4)?

A
–6x + 4
B
6x – 4
C
6x – 24
D
–6x + 24
4

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
5

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
6

Which algebraic expression represents “the sum of a number and 9”?

A
n minus 9
Option A
B
n + 9
Option B
C
9 n
Option C
D
StartFraction n Over 9 EndFraction
Option D
7

Which algebraic expression represents “the difference of 54 and a number”?

A
54 minus n
Option A
B
StartFraction 54 Over n EndFraction
Option B
C
54 n
Option C
D
54 + n
Option D
8

What is another word for magnitude?

A
large
B
size
C
small
D
attract
9

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.
10

Jillian wanted to determine the difference of 7 and a number, n. She wrote in a table several possible expressions she could use to represent this. Which is the correct expression number?Expression NumberExpression1234 Expression number: [BLANK]

Question illustration
Answer not available
11

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
12

What is the simplified expression for the expression below? 4(3x – 2) + 6x(2 – 1)

A
24x – 3
B
18x – 8
C
18x – 7
D
24x – 14
13

Which expressions are equivalent to ? Check all that apply.

Question illustration
A
g + (h + j) + k
Option A
B
(g + h) + j k
Option B
C
(g + h) + j + k
Option C
D
g + (h j) + k
Option D
E
g h + j k
Option E
F
g (h + j) k
Option F
G
g + h (j + k)
Option G
14

Which description can be written as the expression ?

Question illustration
A
Joel wants to find the quotient of a number and four, minus thirteen.
B
Joel wants to find the product of thirteen and the quotient of a number and four.
C
Joel wants to find the difference of thirteen and the quotient of a number and four.
D
Joel wants to find the sum of a number and four, minus thirteen.
15

The table shows the number of degrees the temperature increased or decreased over four days.TemperatureDayTemperature ChangeTuesdayWednesdayThursdayFridayOn which day did the temperature change have the greatest magnitude?

Question illustration
A
Tuesday
B
Wednesday
C
Thursday
D
Friday
16

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
17

Which algebraic expression represents “the quotient of 7 and a number”?

A
StartFraction 7 Over n EndFraction
Option A
B
7 + n
Option B
C
7 n
Option C
D
7 minus n
Option D
18

A math class is having a discussion on how to determine if the expressions and are equivalent. The class has suggested four different methods.Which describes the correct method?

Question illustration
A
Both expressions should be evaluated by substituting one value for x. If the final values of the expressions are both positive after the substitution, then the two expressions must be equivalent.
B
Both expressions should be evaluated by substituting with one value for x. If the final values of the expressions are the same, then the two expressions must be equivalent.
C
Both expressions should be evaluated by substituting any two values for x. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent.
D
Both expressions should be evaluated by substituting any two values for x. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.
19

Kona’s mother realized that her age is the difference of Kona’s age squared and four. If k represents Kona’s age, which expression represents Kona’s mother’s age?

A
k squared minus 4
Option A
B
k cubed minus 4
Option B
C
k squared + 4
Option C
D
k cubed + 4
Option D
20

Dona found that she had 7 almonds left over after filling a number of bags with 25 almonds each. She let b represent the number of bags and wrote an expression to represent the total number of almonds. She found that and then substituted to find the total number of almonds.Which statements should be part of Dona’s solution? Check all that apply.

Question illustration
A
Dona had 507 almonds.
B
To evaluate, substitute 25 for the variable.
C
Write the expression .
Option C
D
Dona had 157 almonds.
E
Write the expression .
Option E
F
Twenty-five times 20 equals 500.
G
The operations needed are multiplication and addition.

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