which pair of of expressions are equivalent? A. 10(x+4) and 10x+14 B. 3(x+5) and 3x + 5 C. x+x+x+1+1+1 and 3(x+1) D. x+x+x+x+1+1+1+1 and 8x

C. x+x+x+1+1+1 and 3(x+1)

Step-by-step explanation:

Algebraic Expressions

Some algebraic expressions are equivalent to others if the correct operations are done on them.

A. 10(x+4) must be operated by multiplying 10 by x and 10 by 4, thus:

10(x+4) = 10x + 40.

This choice is not correct

B. 3(x+5) must be operated by multiplying 3 by x and 3 by 5, thus:

3(x+5) = 3x + 15.

This choice is not correct

C. x+x+x+1+1+1 is equivalent to an expression where like terms are collected, that is. x+x+x=3x and 1+1+1=3, thus:

x+x+x+1+1+1=3x+3=3(x+1)

This choice is correct

D. x+x+x+x+1+1+1+1 in a similar way as explained above, like terms must be correctly collected: D. x+x+x+x=4x and 1+1+1+1=4, thus

D. x+x+x+x+1+1+1+1 = 4x+4 = 4(x+1)

This choice is not correct

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.

answer: 2530

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