Question

Multiple Choice

Solve for x.

4(x – b) = x
(1 point)
Responses

b = 4 over 3x
b = Image with alt text: 4 over 3 x

b = three fourthsx
b = Image with alt text: three fourths x

x =4 over 3b
x = Image with alt text: 4 over 3 b

x = three fourthsb

Answer 1

x = 4 over 3b

Answer 2

Solve for y, then find the value of y when given x = –2.

6x = 7 – 4y
(1 point)
Responses

–12
–12

7 over 4
Image with alt text: 7 over 4

19 over 4
Image with alt text: 19 over 4

24

Answer 3

To solve for y, we can start by isolating the y term on one side of the equation:

6x = 7 - 4y

First, we will move the constant term (7) to the other side by subtracting it from both sides:

6x - 7 = -4y

Next, we can divide both sides of the equation by -4 to solve for y:

y = (6x - 7) / -4

To find the value of y when x = -2, we substitute -2 for x in the equation:

y = (6(-2) - 7) / -4
y = (-12 - 7) / -4
y = -19 / -4
y = 19/4

Therefore, the correct option is:
y = 19 over 4

Answer 4

Solve for h.

A = one-halfbh
(1 point)
Responses

h= The fraction is 2A over b.
h= Image with alt text: The fraction is 2A over b.

2A =
2 A = Image with alt text:

h = one-halfAb
h = Image with alt text: one-half Ab

h = 2Ab

Answer 5

To solve for h in the equation A = one-halfbh, we can start by isolating h on one side of the equation.

First, we will multiply both sides by 2 to get rid of the fraction:

2A = bh

Next, we want to isolate h by dividing both sides of the equation by b:

h = 2A / b

Therefore, the correct option is:
h = The fraction is 2A over b.

Answer 6

Find the width of a rectangle with a perimeter of 90 and a length of 15. Draw and label the rectangle first to set up your problem.
(1 point)
Responses

90
90

15
15

45
45

30

Answer 7

To find the width of a rectangle, we need to use the formula for the perimeter of a rectangle:

Perimeter = 2 * (length + width)

Given that the length is 15 and the perimeter is 90, we can substitute these values into the formula:

90 = 2 * (15 + width)

To isolate the width, we need to solve for it. We can start by dividing both sides of the equation by 2:

45 = 15 + width

Next, we can isolate the width by subtracting 15 from both sides:

30 = width

Therefore, the width of the rectangle is 30.