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Question 1
PART A
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=82 x plus 3 is equal to 8
B 2(x+3)=82 times open paren x plus 3 close paren is equal to 8
C 2x+5=82 x plus 5 is equal to 8
D 2(2x+3)=8
3 answers
The equation that can be used to find the value of x for this situation is D) 2(2x+3)=8.
PART B
Solve the equation for x.
x=
Responses
A 0.50 point 5
B 2.52 point 5
C 11
D 1.5
Solve the equation for x.
x=
Responses
A 0.50 point 5
B 2.52 point 5
C 11
D 1.5
To solve the equation 2(2x+3)=8 for x, we can start by distributing the 2 to the terms inside the parentheses:
4x + 6 = 8
Next, we can subtract 6 from both sides of the equation:
4x = 8 - 6
4x = 2
Finally, we can divide both sides of the equation by 4 to solve for x:
x = 2/4
x = 1/2
x = 0.5
Therefore, the solution to the equation is x = 0.5.
The correct answer is A) 0.5.
4x + 6 = 8
Next, we can subtract 6 from both sides of the equation:
4x = 8 - 6
4x = 2
Finally, we can divide both sides of the equation by 4 to solve for x:
x = 2/4
x = 1/2
x = 0.5
Therefore, the solution to the equation is x = 0.5.
The correct answer is A) 0.5.