Question

The top of a table has dimensions 2 ft by x+3 ft and has an area of 8 ft2 . Which of the following equations can be used to find the value of x for this situation? Responses A 2x+3=8 2 x plus 3 is equal to 8 B 2(x+3)=8 2 times open paren x plus 3 close paren is equal to 8 C 2x+5=8 2 x plus 5 is equal to 8 D 2(2x+3)=8 2 times open paren 2 x plus 3 close paren is equal to 8 Question 2 PART B Solve the equation for x . x= Responses A 0.5 0 point 5 B 2.5 2 point 5 C 1 1 D 1.5

Answer 1

Plug in 1 into the equation to see if your answer is correct.

Answer 2

The correct answer is B: 2(x+3)=8.

To solve the equation for x, we can distribute the 2 on the left side:

2x + 6 = 8

Then we can subtract 6 from both sides:

2x = 2

Lastly, divide both sides by 2:

x = 1

Therefore, the value of x is 1. The correct answer is C: 1.

Answer 3

If we plug in x = 1 into the equation 2(x+3) = 8:

2(1+3) = 8

2(4) = 8

8 = 8

The equation is satisfied, which confirms that our answer is correct.