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

Equivalent Expressions and the Distributive Property Answers

21 verified answers3 views
1
Free Preview

Check all that apply.

A
Distribute 9, by multiplication, to the variable, a, and to the constant, 8.
B
Write the two multiplications, 9(a) + 9(8)
C
The expression 9(a) is written as 9a.
D
The expression 9(8) equals 72.
E
The equivalent expression is 9a + 8.
F
The equivalent expression is 9a + 72.
2
Free Preview

There are 12✔ 3x

A
1
B
2
C
✔ 3
D
x
3

There are 12✔ 36

A
1
B
2
C
✔ 3
D
6
4

The equivalent expression is 4x3x + 1✔ 3x + 33x + 4.

A
4x
B
3x + 1
C
✔ 3x + 3
D
3x + 4
5

The equivalent expression is 5x40x✔ 5(x + 7)5(x + 35).

A
5x
B
40x
C
✔ 5(x + 7)
D
5(x + 35)
6

Which expression is equivalent to 5(2n + 1)?

A
2n + 1
B
2n + 5
C
10n + 1
D
10n + 5
7

Model the expression as 12✔ 3x

A
1
B
2
C
✔ 3
D
x
8

Question text not available

Answers:
5x divided by the GCF is , and 35 divided by the GCF is .:5x and 35
5x divided by the GCF is , and 35 divided by the GCF is .:5
5x divided by the GCF is , and 35 divided by the GCF is .:x
5x divided by the GCF is , and 35 divided by the GCF is .:7
5x divided by the GCF is , and 35 divided by the GCF is .:5(x + 7)
9

Which expression is equivalent to 15n – 20?

A
2(8n – 6)
B
6(2n – 9)
C
5(3n – 4)
D
5(4n – 3)
10

Find the GCF of 5355x✔ 5x and 35.

Answers:
5x divided by the GCF is , and 35 divided by the GCF is .:5x and 35
5x divided by the GCF is , and 35 divided by the GCF is .:5
5x divided by the GCF is , and 35 divided by the GCF is .:x
5x divided by the GCF is , and 35 divided by the GCF is .:7
5x divided by the GCF is , and 35 divided by the GCF is .:5(x + 7)
11

Are the expressions equivalent? Use j = 3 and j = 8 to determine if they are. 7(j – 2) 4j – 5

A
No, because when j = 8, the values of the expressions are different.
B
Yes, because when j = 3, the value of both expressions is 7 and when j = 8, the value of both expressions is 42.
C
Yes, because when j = 3, the value of both expressions is 7.
D
Yes, because when j = 8, the values of the expressions are different.
12

Use the distributive property to write an equivalent expression. Complete the statement. 4(9 + d) The equivalent expression is 49 + d49 + 4d36 + d✔ 36 + 4d.

A
49 + d
B
49 + 4d
C
36 + d
D
✔ 36 + 4d
13

When w = 10, both expressions have a value of .

Answer:

84

14

Is Jordan’s work correct? Choose the correct answer.

A
Yes, Jordan’s work is correct.
B
No, Jordan forgot to divide 48 by 6.
C
No, Jordan forgot to subtract 6 from 48.
D
No, Jordan forgot to multiply 6 and 48.
15

Explain how to write an equivalent expression using the distributive property. 2(11 + y)

Answer:

PENDING

16

Check all points that you included in your response.

A
To use the distributive property, distribute multiplication by 2 to both terms inside the parentheses.
B
The products are 2(11) and 2(y).
C
The equivalent expression is 22 + 2y.
17

Explain how to determine if the two expressions are equivalent using x = 6 and x = 10. 8x + 40 8(x + 5)

Answer:

PENDING

18

Now, factor out the GCF by dividing each term in the expression by ✔ 55x3540.

A
✔ 5
B
5x
C
35
D
40
19

Check all points that you included in your response.

A
If both expressions have the same value after substituting and simplifying for x = 6 and x = 10, then they are equivalent.
B
When x = 6, the value of both expressions is 88.
C
When x = 10, the value of both expressions is 120.
D
Therefore, the expressions are equivalent.
20

5✔ x5x35

A
5
B
✔ x
C
5x
D
35

Did you find these answers helpful?

More from this Course

Assignment
19 verified answers

Equivalent Expressions and the Distributive Property

Assignment
18 verified answers

Unit Test

Assignment
29 verified answers

Powers and Exponents