Using Properties to Simplify Expressions

Question 1

Which is equivalent to ?

Revolt · Accepted Answer

A:

Question 2

Use the model to create zero pairs. What is an equivalent expression that has two terms?

Revolt · Accepted Answer

x+1,x + 1,1+x,1 + x

Question 3

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

Revolt · Accepted Answer

C: –(14 – 7x); D: 7(x – 2); E: 3x – 14 + 4x

Question 4

Which expression is not equivalent to ?

Revolt · Accepted Answer

B:

Question 5

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.

Revolt · Accepted 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.

Question 6

Use the drop-down menu to select the operation.

Revolt · Accepted Answer

C: –3x/4

Question 7

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.

Revolt · Accepted 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.

Question 8

Which expression is not equivalent to the other three?

Revolt · Accepted Answer

B: 4 + 7x – 2

Question 9

Check all that you included in your response.

Revolt · Accepted Answer

A: an example of an equivalent expression; B: reasons why your expression is equivalent

Question 10

Check all that you considered in your response.

Revolt · Accepted Answer

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

Using Properties to Simplify Expressions Answers

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