Equivalent Expressions

Which expressions are equivalent to g+h+(j+k) ? Check all that apply.

g+(h+j)+k (g+h)+j+k

Which expressions are equivalent to 8.9x+6.2+8.7 ? Check all that apply.

8.9x+8-7+6.2 8.7 + 8.9x + 6.2 6.2 + 8.7 + 8.9x

Which best proves why the expressions 4(x+3)+2 and 6(x+2) must be equivalent expressions?

When x=1, both expressions have a value of 18, and when x=8, both expressions have a value of 60.

Which expressions are equivalent when m=1 and m=4 ?

3m + 4 and m+4+2m

A math class is having a discussion on how to determine if the expressions 4x-x+5 and 8-3x-3 are equivalent using substitution. The class has suggested four different methods. Which describes the correct method?

Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Vance used the associative property to write(4.5m + 7/8)-9 as the equivalent expression 4.5m(7/8-9). Did Vance apply the associative property correctly? Why or why not?

No, the addition symbol was dropped in the second expression.

Maria determined that these expressions are equivalent expressions using the values of x=3 and x=7 Which statements are true? Check all that apply. 5+3x-2 and x+2(x+1)+1

The expressions have equivalent values when x + 6 The expressions have equivalent values for any value of x. When x=10 , both expressions have a value of 33.

James determined that these two expressions were equivalent expressions using the values of x= 4 and x=6 .Which statements are true? Check all that apply. 7x+4 and 3x+5+4x-1

When x=2, both expressions have a value of 18. The expressions have equivalent values for any value of x. The expressions have equivalent values if x=8

Which property was applied to create this equivalent expression? 7x+(5+6x) -----> (7x+5)+6x

the associative property only

Which expression is equivalent to 7(xy)?

x(7y)