AnswersPre-Algebra A-CRExpressions with and without Parentheses

Equivalent Expressions Answers

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After substituting 2 for g, the expressions are 4(2) + 13 and 13 + 4(2).

Answers:
If you change the order of the terms you can create the equivalent expression .:13 + 4g
After substituting 10 for g, the expressions are and .:4(10) + 13
After substituting 10 for g, the expressions are and .:13 + 4(10)
The expressions are equivalent because they both have a value of when g = 10 and a value of when g = 2.:53
The expressions are equivalent because they both have a value of when g = 10 and a value of when g = 2.:21
4

1827✔ 53423

A
18
B
27
C
✔ 53
D
423
5

✔ 2155138

A
✔ 21
B
55
C
138
7

Which expressions are equivalent to Select three options.

Question illustration
A
Option
Option A
B
1 + 2 + 3c + 4 +5
C
Option
Option C
D
2 + 3c + 4
E
Option
Option E
8

Use the associative property to create equivalent expressions to a + b + (c + d). Which statements are true? Select four options.

A
The associative property allows us to change the grouping of terms that are added together.
B
When changing the grouping, the order of the terms stays the same; only the parentheses change position.
C
The expression a + (b + c) + d is an equivalent expression.
D
The expression ab(cd) is an equivalent expression.
E
The expression (a+ b) + c + d is an equivalent expression.
F
The expression a + b(c + d) is an equivalent expression.
9

Which expression is equivalent to (jk)l?

A
(j + k) + l
B
j(kl)
C
(2jk)l
D
(j + k)l
10

After substituting 2 for g, the expressions are 4(2) + 13 and 13 + 4(2).

Answers:
If you change the order of the terms you can create the equivalent expression .:13 + 4g
After substituting 10 for g, the expressions are and .:4(10) + 13
After substituting 10 for g, the expressions are and .:13 + 4(10)
The expressions are equivalent because they both have a value of when g = 10 and a value of when g = 2.:53
The expressions are equivalent because they both have a value of when g = 10 and a value of when g = 2.:21
11

Use v = 3 and v = 6 to determine if the expressions 3v + 2(v + 1) – 4 and 16 + 3v – v are equivalent. Which statements are true? Select two options.

A
The value of both expressions when v = 3 is 13.
B
The value of both expressions when v = 3 is 22.
C
The value of both expressions when v = 6 is 28.
D
The value of both expressions when v = 6 is 46.
E
The expressions are equivalent.
F
The expressions are not equivalent.
12

Is Jason’s work correct?

A
No, Jason changed the terms.
B
Yes, Jason’s work is correct.
C
No, Jason forgot the parentheses.
D
No, Jason should not have changed the order of the terms.
13

4 + 1314 + 13✔ 4(10) + 13410 + 13

A
4 + 13
B
14 + 13
C
✔ 4(10) + 13
D
410 + 13
14

Check all the points you included in your response.

A
The associative property allows you to keep the order of the terms and change the position of the parentheses.
B
Rewrite the terms in the same order, then move the parentheses.
C
Write 2 + 11 inside the parentheses.
D
The equivalent expression is (2 + 11) + y.
15

Check all the points you included in your response.

A
If both expressions have the same value after substituting and simplifying for x = 6 and x = 2, then they are equivalent.
B
The value of both expressions is 15 when x = 6.
C
The value of both expressions is 7 when x = 2.
D
So, the expressions are equivalent.
16

1 + 3 + 4 + 10✔ 13 + 4(10)13 + 1413 + 410

A
1 + 3 + 4 + 10
B
✔ 13 + 4(10)
C
13 + 14
D
13 + 410

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