When combining like terms what is - 7x - 6x?

Question 1

3y; y+y+y

3y = 3 (2) = 6

y+y+y = 2+2+2 = 6

anwser: They are both 6.

Question 3

2z+3z

answer: 5z

part 2

2z+3z

Evaluate the expression when z=7.

2 (7) + 3 (7) = 14 + 21 = 35

Question 4

Consider the expressions 6x and 3 (x+2).

Evaluate each expression for x=2.

6x = 6 (2) = 12

3 (x+2) = 3 (2+2) = 3*4=12

answer:

The expressions are not equivalent, but the answers are the same when x=2.

Question 7

Select all the statements that are true.

_F__ 116b is equivalent to 16b.

_F__ 14b+13b is equivalent to 27b.

__F_ 13 (b+7) is equivalent to 13b+73.

_T__ b+0.3+4b is equivalent to 5b+0.3.

Question 8

Select all the statements that explain why 7x+2x and 4x+5x both equal 18 when x=2.

7x+2x = 7 (2) + 2 (2) = 14 + 4 = 18 ... (9x)

and

4x+5x 4 (2) + 5 (2) = 8+10 = 18 ... (9x)

Answer:

___ Both expressions simplify to 9x when like terms are combined.

___ The expressions are equivalent, because when you combine like terms in each, the result is the same.

Question 10

Consider the expressions 2 (x+2) and 2x+2.

Evaluate each expression for x=4.

2 (x+2) = 2 (4+2) = 12 ... (2x+4)

2x+2 = 2 (4) + 2 = 10 ... (2x+2)