Identify the expression equivalent to 2x+8 by substituting x = 7 and x = 5.
a.
2x+10 + 10
b.
2(x + 2)
c. (x+4) + (x+4)
d. (x+4)
e.
2(2x + 4)

Answers

The answer is c (x+4) + (x+4)

the answer is C ;P

Step-by-step explanation:

c

Step-by-step explanation:

C is the answer because the expression pulled apart is just an addition problem between two parenthesis. I hope this helps!

Step-by-step explanation:

C. (x+4) + (x+4)

Step-by-step explanation:

Given:

The expression is given as:

2x+8

The values of 'x' are:

x=7\ and\ x=5

Now, plug in 7 and for 'x' in the above expression and determine the value of the expression.

When x=5\ and\ 7, the expression is:

2\times 5+8=10+8=18

2\times 7+8=14+8=22

Now, let us check the value of each of the options and check which expression is equivalent to the given expression.

Option A:

2x+10+10

Plug in 5 for 'x' and simplify. This gives,

2\times 5+10+10=10+20=30\ne18

So, this expression is not equivalent to the given expression.

Option B:

2(x+2)

Plug in 5 for 'x' and simplify. This gives,

2(5+2)=2\times 7=14\ne18

So, this expression is not equivalent to the given expression.

Option C:

(x+4)+(x+4)

Plug in 5 for 'x' and simplify. This gives,

(5+4)+(5+4)=9+9=18=18

Now, plug in 7 for 'x' and simplify. This gives,

(7+4)+(7+4)=11+11=22=22

So, this expression is equivalent to the given expression.

Option D:

(x+4)

Plug in 5 for 'x' and simplify. This gives,

5+4=9\ne18

So, this expression is not equivalent to the given expression.

Option E:

2(2x+4)

Plug in 5 for 'x' and simplify. This gives,

2(2\times 5+4)=2(10+4)=2(14)=28\ne18

So, this expression is not equivalent to the given expression.

Therefore, option C is the correct answer.



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