AnswersAG Q1 Keystone Algebra 1 Block 26-27 DDiamondEquivalent Expressions and the Distributive Property

Equivalent Expressions and the Distributive Property — Unit test Answers

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1
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Collin is substituting and to determine if the two expressions are equivalent. Which statement is true?

Question illustration
A
Both expressions are equivalent to 11 when .
Option A
B
Both expressions are equivalent to 33 when .
Option B
C
Both expressions are equivalent to 23 when .
Option C
D
The expressions are not equivalent.
2
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Which expression is represented by the set of algebra tiles below?

Question illustration
A
x + 6
Option A
B
x minus 6
Option B
C
6 minus x
Option C
D
6 x minus 1
Option D
3

Which statements are true about the expression ? Check all that apply.

Question illustration
A
To simplify, distribute a to 8 and to 7.
B
8(a) can be rewritten as 8a.
C
can be rewritten as .
Option C
D
can be rewritten as .
Option D
E
An equivalent expression is 15a.
F
An equivalent expression is
Option F
G
An equivalent expression is
Option G
4

Which expression is equivalent to when ?

Question illustration
A
2 (3)
Option A
B
5 (3)
Option B
C
2 (3) + 3
Option C
D
2 (3) + 6
Option D
5

Which situations can represent the expression ? Check all that apply.

Question illustration
A
Ramya’s grade increased by two points
B
the difference between Escher’s highest score and two
C
the number of chapters Wally read plus two more
D
two fewer than the maximum number of absences Ellie is allowed
E
two added to Allison’s age.
F
the sum of Mikel’s height and two
6

Cadence is substituting and to determine if the two expressions are equivalent. Which statement is true?

Question illustration
A
Both expressions are equivalent to 78 when .
Option A
B
Both expressions are equivalent to 81 when .
Option B
C
Both expressions are equivalent to 48 when .
Option C
D
The expressions are equivalent.
7

Noni is looking for the sum of a number, n, and 21.What is the sum Noni is looking for if ?

Question illustration
Answer not available
8

Nancy is checking to determine if the expressions and are equivalent. When , she correctly finds that both expressions have a value of 10. When , she correctly evaluates the first expression to find that .What is the value of the second expression when , and are the two expressions equivalent?

Question illustration
A
The value of the second expression is 8, so the expressions are not equivalent.
B
The value of the second expression is 14, so the expressions are equivalent.
C
The value of the second expression is 16, so the expressions are equivalent.
D
The value of the second expression is 18, so the expressions are not equivalent.
9

What is written in expanded form?

Question illustration
A
4 + 4 + 4 + 4 + 4 + 4
Option A
B
4 times 4 times 4 times 4 times 4 times 4
Option B
C
6 + 6 + 6 + 6
Option C
D
6 times 6 times 6 times 6
Option D
10

Which scenario could be represented by the algebraic expression ?

Question illustration
A
Ahmed wants to know how much money he would make after 12 hours of work.
B
Ahmed wants to know the height of a building if each floor is 12 feet high.
C
Ahmed wants to know how many half-inch pieces are in a foot.
D
Ahmed wants to know how many floors are in an office building when each floor is 12 feet high.
11

When evaluating for , the given value of 1 is substituted for what part of the expression?

Question illustration
A
the exponent
B
the constant
C
the variable
D
any numerical value
12

Chris is checking to determine if the expressions and are equivalent. When , he correctly finds that both expressions have a value of 8. When , he correctly evaluates the first expression to find that .What is the value of the second expression when , and are the two expressions equivalent?

Question illustration
A
The value of the second expression is 8, so the expressions are equivalent.
B
The value of the second expression is 10, 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 16, so the expressions are not equivalent.
13

What is the correct expanded form and value of ?

Question illustration
A
One-fifth + one-fifth + one-fifth + one-fifth = StartFraction 4 Over 5 EndFraction
Option A
B
One-fifth times one-fifth times one-fifth times one-fifth = StartFraction 1 Over 625 EndFraction
Option B
C
StartFraction 1 + 1 + 1 + 1 Over 5 times 4 EndFraction = StartFraction 4 Over 20 EndFraction
Option C
D
One-fifth times 4 = StartFraction 4 Over 5 EndFraction
Option D
14

What is the value of the expression ?

Question illustration
Answer not available
15

Denise is checking to determine if the expressions and are equivalent. When , she correctly found that both expressions have a value of 14. When , she correctly evaluated the first expression to find that .What is the value of the second expression when , and are the two expressions equivalent?

Question illustration
A
The value of the second expression is 2, so the expressions are equivalent.
B
The value of the second expression is 4, so the expressions are not equivalent.
C
The value of the second expression is 8, so the expressions are not equivalent.
D
The value of the second expression is 10, so the expressions are equivalent.

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