Answer:
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)
Explanation: