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Simplify the expression. Then state the coefficient of the variable in each expression. Sepereate your answers with a comma.

v+v+5-2v+v+5−2

(a)  

Simplify the expression. Then state the coefficient of the variable in each expression. Sepereate your answers with a comma.

w+w+w+w+w+w+15-7w+w+w+w+w+w+15−7

(a)  

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Simplify the expression.

3p+p3p+p

(a)  

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Simplify the expression.

4p+5p4p+5p

(a)  

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Simplify the expression.

7p-2p7p−2p

(a)  

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Simplify the expression.

3p-2p+5p3p−2p+5p

(a)  

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Simplify the expression.

2p+3p+4p+5p-6p-7p2p+3p+4p+5p−6p−7p

(a)  

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Simplify the expression.

3x+5+4x+63x+5+4x+6

(a)  

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Simplify the expression.

17+4w-12-w17+4w−12−w

(a)  

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Simplify the expression.

9+5u+6u-7-8u+49+5u+6u−7−8u+4

(a)  

Solve.

A book has a length of (b+2) inches and a width of b inches. Write a simplified expression for the perimeter of the book.

(a)  

Solve.

A triangle has a base of x inches, a side 4x+ 2 inches, and a third side of 5 inches. Write a simplified expression for the perimeter of the triangle.

(a)  

Identify the property shown:

5+1 = 1+5

(a)  

Identify the property shown:

11 x 3 = 3 x 11

(a)  

Identify the property shown:

3 x 0 = 0

(a)  

Identify the property shown:

3 + 0 = 3

(a)  

Identify the property shown:

3 x 1 = 3

(a)  

Ally is given the expression 7 -2 + x + 4x+ 1 + 3x

She simplifies the expression and gets 5x + 8.

Trevor gets the same expression and simplifies it to get 6+8x.

Which student, if any is correct? Why or why not? Explain your response using math language.

Given the expression 3x+9

Rachel said the constant is 3.

Nathan said the coefficient is 3.

Patrick said the coefficient is 9.

Who if any is student is correct? Why or why not?

Given the expression

7c - 3 +4c +12 - 5c

Annie wrote:

7c -5c +4c +12 - 3

6c + 9 = 15c

Is she correct? Why or why not? Explain in 2-3 using math language.