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Getting Started — Test Answers

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The height of Sonji’s picture frame is 18 inches. Part of the height is from the matting. Sonji wants to know the height of a picture that will fit in the remaining height of the frame. If m represents the height of one side of the matting, which expression represents the height of the opening for the picture?

A
18 minus 2 m
B
m minus 18
C
2 m over 18
D
18 over m
2
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In which step did Tasha make the first error?

A
Step 1
B
Step 2
C
Step 3
D
Step 4
3

Randy is checking to determine if the expressions 2⁢x+2+4⁢x and 2⁢(3⁢x+1) are equivalent. When x=3, he correctly finds that both expressions have a value of 20. When x=2, he correctly evaluates the first expression to find that 2⁢x+2+4⁢x=14. What is the value of the second expression when x is equal to 2 , and are the two expressions equivalent?

A
The value of the second expression is 14 , so the expressions are equivalent.
B
The value of the second expression is 20 , so the expressions are equivalent.
C
The value of the second expression is 12 , so the expressions are not equivalent.
D
The value of the second expression is 7 , so the expressions are not equivalent.
4

Which expression is equivalent to 6 cubed ?

A
6 times 6 times 6 times 6
B
6 times 6 times 6
C
6 times 3
D
3 times 3 times 3 times 3 times 3 times 3
5

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 s is equal to 20 ?

A
s over 5 ; when s is equal to 20 , the number of socks in each group is 4 .
B
s minus 5 ; when s is equal to 20 , the number of socks in each group is 15 .
C
s minus 5 ; when s is equal to 20 , the number of socks in each group is 4 .
D
s over 5 ; when s is equal to 20 , the number of socks in each group is 15 .
6

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

A
54 n
B
54 minus n
C
54 plus n
D
54 over n
7

Which expression is equivalent to 2 times 5 to the 4th power ?

A
2 times 4 times 4 times 4 times 4 times 4
B
2 times 5 times 5 times 5 times 5
C
2 times 5 times 4
D
10 times 10 times 10 times 10
8

Craig is training for a race. He bikes every 2 days and swims every 3 days. If he biked and swam today, how many days will pass before he bikes and swims on the same day again, the least common multiple of the numbers of days? Multiples of 2 : 2 comma 4 comma 6 comma 8 comma 10 comma 12 comma dot dot dot Multiples of ​​​​​​​ 3 ​​​​​​​: 3 comma 6 comma 9 comma 12 comma 15 comma 18 comma dot dot dot

A
2 days
B
3 days
C
12 days
D
6 days
9

Which expression has twice the value of 2 times 2 times 2 times 2 times 2 ?

A
2 to the 6th power
B
4 to the 5th power
C
4 to the 10th power
D
2 to the 10th power
10

What is the greatest common factor of 3 and 6?

A
6
B
36
C
3
D
18
11

A math class is having a discussion on how to determine if the expressions 4⁢x−x+5 and 8−3⁢x−3 are equivalent. The class has suggested four different methods. Which describes the correct method?

A
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.
B
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.
C
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.
D
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.
12

Which property was applied to create this equivalent expression? 7 x plus open paren 5 plus 6 x close paren rightarrow open paren 7 x plus 5 close paren plus 6 x

A
both the commutative property and the associative property
B
the associative property only
C
the distributive property only
D
the commutative property only
13

What is the value of open bracket 2 thirds to the 0 power close bracket to the negative 3 power ?

Answer:

1

14

What is the value of negative 5 to the 4th power ?

Answer:

625

15

What is the greatest common factor of 20 and 36?

A
4
B
5
C
2
D
6
16

Which pair of numbers is relatively prime?

A
4 and 15
B
7 and 21
C
9 and 27
D
6 and 9
17

Fiona doubled the original amount in her savings account, s Which expression represents her new balance and what is that new balance if s is equal to 160 ?

A
2 s ; when s is equal to 160 , the new balance in Fiona’s savings account is 80 dollars .
B
s over 2 ; when s is equal to 160 , the new balance in Fiona’s savings account is 320 dollars .
C
2 s ; when s is equal to 160 , the new balance in Fiona’s savings account is 320 dollars .
D
s over 2 ; when s is equal to 160 , the new balance in Fiona’s savings account is 80 dollars .
18

What are all the factors of 54?

A
1, 2, 6, 9, 26, 54
B
1, 2, 6, 9, 27, 54
C
1, 2, 3, 6, 9, 18, 27, 54
D
1, 2, 3, 6, 9, 18, 26, 54
19

Kalinda is 68 point 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 point 7 minus t
B
t over 68 point 7
C
t minus 68 point 7
D
68 point 7 over t
20

The table shows a pattern of exponents. Powers of 5 Value 5 cubed 125 5 squared 25 5 to the 1th power 5 5 to the 0 power 1 5 inverse 1 fifth 5 to the negative 2 power 1 over 25 What is the pattern as the exponents decrease?

A
subtract 5 from the previous value
B
divide the previous value by 5
C
subtract 100 from the previous value
D
divide the previous value by 25

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