Question

Literal equations and formulas

1. solve for x.

4(x - b) = x

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

6x = 7 - 4y

3. Solve for h

A = 1/2bh

4. 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.

90
15
45
30

Answer 1

1. Solve for x

4(x-b) = x
4x - 4b = x
4x = x + 4b
3x = 4b
x = 4b/3

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

6x = 7 - 4y

6x + 4y = 7
4y = 7 - 6x
y = (7 - 6x)/4

x = -2
y = (7 - 6(-2))/4
y = (7 + 12)/4
y = 19/4
y = 4 3/4


3. Solve for h

A = 1/2bh
2A = bh
2A/b = h


4. 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.

90
15
45
30

Perimeter of Rectangles: 2₩ + 2£
90 = 2₩ + 2(15)
90 = 2₩ + 30
60 = 2₩
30 = ₩

Width is 30.

Remember to draw and label the rectangle