Question

.

In each row, decide whether the expression in column A is equivalent to the expression in column B. If they are not
equivalent, show how to change one expression to make them equivalent.
A
B
A.
3x-2x +0.5x
1.
1.5x
B.
3(x + 4)-2(x + 4)
2. x + 3
C.
6(x+4)-2(x + 5)
3. 2(2x + 7)
D.
3(x + 4)-2(x + 4) + 0.5(x + 4)
4. 1.5
For each situation write an eynression for the new balance using as few terms as possible

Answer 1

A.
`3x-2x+0.5x=1.5x`, so the expressions are equivalent.

B.
`3(x+4)-2(x+4)=x+4`, so the expressions are not equivalent. To make the expressions equivalent, add 1 to expression B.

C.
`6(x+4)-2(x+5)=6x+24-2x-10=4x+14=2(2x+7)`, so the expressions are equivalent.

D.
`3(x+4)-2(x+4)+0.5(x+4)=1.5(x+4)`, so the expressions are not equivalent. To make the expressions equivalent, multiply expression B by (x+4).