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

Equivalent Expressions and the Distributive Property Answers

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1
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Which statements are true about the expression ? Check all that apply.

Question illustration
A
To simplify, distribute 2w to 7 and 4.
B
7(2w) can be rewritten as 14w.
C
can be rewritten as .
Option C
D
can be rewritten as .
Option D
E
An equivalent expression is 10w.
F
An equivalent expression is
Option F
G
An equivalent expression is
Option G
2
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Which expression is equivalent to ?

Question illustration
A
45 h
Option A
B
14 h
Option B
C
5 h + 9
Option C
D
5 h + 45
Option D
3

Which expression is equivalent to when ?

Question illustration
A
5 (9)
Option A
B
9 (5)
Option B
C
5 (9) + 4
Option C
D
5 (9) + 20
Option D
4

Substitute and to determine if the two expressions are equivalent. Which statements are true? Check all that apply.

Question illustration
A
The value of both expressions when is 28.
Option A
B
The two expressions are equivalent.
C
The value of both expressions when is 16.
Option C
D
The two expressions are not equivalent.
E
The value of both expressions when is 52.
Option E
F
The value of both expressions when is 60.
Option F
5

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

Question illustration
A
Both expressions are equivalent to 264 when .
Option A
B
Both expressions are equivalent to 157 when .
Option B
C
Both expressions are equivalent to 46 when .
Option C
D
The expressions are not equivalent.
6

Barbara used the distributive property to write an expression that is equivalent to . Her work is shown below. The greatest common factor is 7 so What was Barbara’s error?

Question illustration
A
Barbara wrote instead of .
Option A
B
Barbara wrote instead of .
Option B
C
Barbara wrote instead of .
Option C
D
Barbara wrote instead of .
Option D
7

Which expression is equivalent to ?

Question illustration
A
72 w
Option A
B
9 w + 72
Option B
C
9 w + 8
Option C
D
17 w
Option D
8

Which expression is equivalent to ?

Question illustration
A
28 x
Option A
B
7 (x) + 7 (4)
Option B
C
7 (x) + 4
Option C
D
11 x
Option D
9

Which expression is equivalent to ?

Question illustration
A
3 (y minus 1)
Option A
B
3 (3 y minus 1)
Option B
C
9 (y minus 3)
Option C
D
9 (3 y minus 3)
Option D
10

Substitute and to determine if the two expressions are equivalent. Which statements are true? Check all that apply.

Question illustration
A
The value of both expressions when is 32.
Option A
B
The two expressions are not equivalent.
C
The value of both expressions when is 15.
Option C
D
The value of both expressions when is 23.
Option D
E
The two expressions are equivalent.
F
The value of both expressions when is 24.
Option F
11

Substitute and to determine if the two expressions are equivalent. Which statements are true? Select the three correct answers.

Question illustration
A
The value of both expressions when is 33.
Option A
B
The value of both expressions when is 23.
Option B
C
The value of both expressions when is 41.
Option C
D
The value of both expressions when is 51.
Option D
E
The two expressions are equivalent.
F
The two expressions are not equivalent.
12

Which expression is equivalent to ?

Question illustration
A
6 x
Option A
B
4 (x) + 4 (2)
Option B
C
4 (x) + 4
Option C
D
8x
13

Which expression is equivalent to ?

Question illustration
A
5 (5 a + 4)
Option A
B
5 (a + 4)
Option B
C
5 (a + 20)
Option C
D
5 (a + 1)
Option D
14

Which expression is equivalent to when ?

Question illustration
A
7 (6)
Option A
B
9 (6)
Option B
C
7 (6) + 2
Option C
D
7 (6) + 14
Option D
15

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

Question illustration
A
Both expressions are equivalent to 73 when .
Option A
B
Both expressions are equivalent to 76 when .
Option B
C
Both expressions are equivalent to 193 when .
Option C
D
The expressions are not equivalent.
16

Which expression is equivalent to ?

Question illustration
A
18 a
Option A
B
6 (a) minus 6 (3)
Option B
C
6 (a) minus 3
Option C
D
3a
Option D
17

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

Question illustration
A
Both expressions are equivalent to 35 when .
Option A
B
Both expressions are equivalent to 85 when .
Option B
C
Both expressions are equivalent to 60 when .
Option C
D
The expressions are equivalent.
18

Which expression is equivalent to ?

Question illustration
A
9 n minus 10
Option A
B
18 n minus 24
Option B
C
18 n minus 4
Option C
D
3 n minus 24
Option D
19

Which expression is equivalent to ?

Question illustration
A
9 (4 a minus 3)
Option A
B
3 (18 a minus 9)
Option B
C
9 (4 a minus 27)
Option C
D
3 (12 a minus 6)
Option D
20

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

Question illustration
A
Both expressions are equivalent to 24 when .
Option A
B
Both expressions are equivalent to 44 when .
Option B
C
Both expressions are equivalent to 46 when .
Option C
D
The expressions are not equivalent.

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