Expanding Expressions Answers

13 verified answers
1
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Which can be used to expand the expression below?

Question illustration
A
associative property
B
commutative property
C
distributive property
D
subtracting
2
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Check all that you included in your response.

A
The expansion is not correct.
B
The –6 did not get distributed properly.
C
The second term should be positive.
3

Which expression is equivalent to –2(5x – 0.75)?

A
10x – 0.75
B
10x + 0.75
C
–10x – 1.5
D
–10x + 1.5
4

Which expression is equivalent to ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

Question text not available

Answer:

No, the work is not correct. The distributive property was not used properly to expand the expression. Negative 6 should be multiplied by both terms in the parentheses. The second product should be -6 times -2/13 to get positive 12/13.

6

To begin planning your writing, identify the heroic traits that are present in this passage. Check all that apply.

A
Odysseus is on a long journey.
B
Odysseus is a powerful speaker.
C
Odysseus is the leader of his crew.
D
Odysseus is helped by a supernatural power.
E
Odysseus is a strong warrior.
7

Which expressions are equivalent to ? Check all that apply.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
–6x + 1
E
–6x + 9
F
–6x – 9
8

Are the expressions –0.5(3x + 5) and –1.5x + 2.5 equivalent? Explain why or why not.

Answer:

Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.

9

What is –9.2(8x – 4) + 0.7(2 + 6.3x) simplified?

A
–69.19x – 32.39
B
–69.19x + 38.2
C
–72.2x + 41.21
D
75x – 338.2
12

Check all that you included in your response.

A
Use the distributive property to expand the first expression.
B
While the first terms are the same, the constant is positive in one expression and negative in the other.
C
If you evaluate the expressions for a value of x, they are not equal.
13

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