Which expression is equivalent to pq?

Question

Which expression is equivalent to ?

Comments

2. A math class is having a discussion on how to determine if the expressions  and  are equivalent using substitution. The class has suggested four different methods.

Which describes the correct method?

Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the two expressions must be equivalent.

Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.

Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent.

Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

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3. Vance used the associative property to write  as the equivalent expression . Did Vance apply the associative property correctly? Why or why not?

Yes, the terms with variables should be written first.

Yes, the terms can be regrouped and still be equivalent.

No, the order of the terms should have been changed.

No, the addition symbol was dropped in the second expression.

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4. Maria determined that these expressions are equivalent expressions using the values of  and . Which statements are true? Check all that apply.

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 and  Part of #4

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The expressions are only equivalent when evaluated with odd values.

The expressions are only equivalent for  and .

The expressions should have been evaluated with one odd value and one even value.

The expressions have equivalent values when .

When , the first expression has a value of 3 and the second expression has a value of 4.

The expressions have equivalent values for any value of x.

When , both expressions have a value of 33.

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5. Which property was applied to create this equivalent expression?

the commutative property only

the associative property only

the distributive property only

both the commutative property and the associative property

Answer 1

1. 4
2. 4
3. 4
4. The expressions are exactly equivalent: answers that are true: 4 6 7
5. Associative (grouping), answer 2

Answer 2

The answer is D sorry if im wrong