AnswersSS-Math 7Using Properties to Simplify Expressions

Using Properties to Simplify Expressions Answers

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1
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Which is equivalent to ?

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Option
Option A
B
Option
Option B
C
Option
Option C
D
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Option D
2
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Check all that you included in your response.

A
an example of an equivalent expression
B
reasons why your expression is equivalent
4

Which expressions are equivalent to 7x – 14? Check all that apply.

A
14 – 7x
B
x – 2
C
–(14 – 7x)
D
7(x – 2)
E
3x – 14 + 4x
F
2x – 10 + 5x + 4
5

Which expression is not equivalent to ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

Write an expression having only two terms that is equivalent to 2x – 3. Explain how you wrote the expression and how you can check that it is equivalent.

Answer:

The expression –3 + 2x is equivalent to 2x – 3. I know it is equivalent because for every value of x that is substituted in, the two expressions simplify to the same value. I took the expression and used the commutative property to not change the value.

8

Ryan is trying to determine whether 2.7x – 5.9 is equivalent to 2.8x – 5.9. To test this, he substitutes 0 for x into both expressions. Explain why this will not give him the correct answer.

Answer:

The coefficients of x are different in the expressions, but the constant values are the same. Zero times any value is zero, so both expressions will be equal to –5.9. If Ryan tried any other number, he would see that the expressions are not equivalent.

9

Which expression is not equivalent to the other three?

A
2x + 2+ 2x + 3x – 8
B
4 + 7x – 2
C
–2 + 5x + 2x – 4
D
8x – x – 6
10

Check all that you considered in your response.

A
The x-coefficients are different.
B
The constants are the same.

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Using Properties to Simplify Expressions Answers…