Name: _________________________________ Block: _____
Literal Equations Homework #2
Solve each equation for the given variable.
1. y =
2.
Divide by x
Divide yz both sides
Multiply by reciprocal
3. A = Lp + B
(B)
A - Lp = B
4. A + B + C = 180
(B)
B + C = 180 – A
Subtract A both sides
B = 180 – A – C
Subtract C both sides
Subtract ½Lp from both sides
5. V =
r
(r )
Divide
both sides
6. P = 2w + 2L
P - 2w = 2L Subtract 2w both sides
Multiply by reciprocal
Divide 2 both sides
Or
7.
(L)
Simplify
8.
Add 12 both sides
Multiply reciprocal by
(EVERYTHING!!)
Subtract 6a both sides
Divide 2 both sides
Simplify
Distribute
Name: _________________________________ Block: _____
Rewrite each equation into function form so that y is a function of x. Write your
answers in simplest form.
9. 4x – 2y = 6
-2y = 6 – 4x
y = 6 – 4x
-2
y = 2x – 3
10. 3x + 4y = 8
Subtract 4x both sides
Divide -2 both sides
Simplify (careful with negatives)
11. 2y + 3x = 9 – 4x + y
4y = 8 – 3x Subtract 3x both sides
y = 8 – 3x
4
Divide 4 both sides by
(EVERYTHING!!)
y = -3x + 2
4
Simplify and write in
correct order
12. y + 4x = 2x – 1
2y = 9 – 7x + y Subtract 3x both sides
y = - 2x – 1 Subtract 4x both sides
y = 9 – 7x
y = (-2x – 1)
Subtract y both sides
y = -7x + 9 Rewrite correct order
13. -9x + 3y = 18
y = -6x – 3
Multiply reciprocal
(EVERYTHING!!)
Distribute
14. 12x – 3y + 4 = 13
3y = 18 + 9x Add 9x both sides
12x – 3y = 9 Subtract 4 both sides
y = 18 + 9x Divide 3 both sides
3
-3y = 9 – 12x Subtract 12x both sides
y = 3x + 6 Simplify and change order
y = 9 – 12x
-3
y = -3 + 4x
Simplify (careful negatives)
y = 4x – 3
15. 4y – 30 = 20x + 10
4y = 20x + 40 Add 30 both sides
y = 20x + 40 Divide 4 both sides
4
y = 5x + 10
Simplify
Divide -3 both sides
Change order
16. y + 4x = 4 + 10x
y = 4 + 6x
Subtract 4x both sides
(3) y = (4 + 6x)(3)
Multiply by reciprocal
Name: _________________________________ Block: _____
** Remember when you add or subtract on both sides of the equation, you add or
subtract the like terms only.
For example:
y – 3x – 2 = x + 4
+2
+2
y – 3x = x + 6
+ 3x +3x
y = 4x + 6
** When you multiply or divide on both sides of the equation, you must multiply or divide
everything!
For example:
y = 2x – 1
(2) y = (2x – 1)(2)
y = 4x – 2