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 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
2
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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
3

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
4

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
5

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.
6

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
7

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
8

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
9

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
10

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

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