Absolute Value and Literal Equations

Literal Equations

100

Solve for L

A = LWH

L = A/WH

200

Solve for m:

m - t = p

m = p + t

300

Solve for x:

xy = z

x = z/y

400

Solve for y:

y - b = mx

y = mx + b

500

Solve for w:

5w + 12c = 9

w = (9 - 12c) / 5

Solving Equations

100

3y + 11 = -16

y = -9

200

6 = 1 - b

b = -5

300

n + 5n + 7 = 43

n = 6

400

-4(2z + 6) - 12 = 4

z = -5

500

3/2(x-2)-5=19

x = 18

Absolute Value on both sides of the equation

100

Solve

|x+4|=|2x-7| 

x = 1, x = 11

200

|3x+5| = |x-6|

x=11/2, x= 1/4 

300

|5x + 3| = |2x − 1|

x= -4/3, x= -2/7

400

|3x − 4| = |2x +3|

x=7, x=1/5

500

|7-a|=|a+5|

a=1

Multi-Step Absolute Value

100

|-2x+6| = 6

0, 6

200

|5x| + 5 = 45

8, -8

300

3 |−8x| + 8 = 80

-3, 3

400

3 |3 − 5r| − 3 = 18

-4/5, 2

500

6 |1 − 5x| − 9 = 57

-2, 12/5

Random

100

What is the first step when solving this problem:

|x-5| + 3 = 10

Subtract 3 from both sides (clean up the outside and isolate the absolute value)

200

P = 4S is the formula for the perimeter of a square. Is this an example of a literal equation also? Why?

Yes, literal equations have more than one variable and formulas are examples of literal equations.

300

Why can't |2x-9| = -5 be true?

Absolute value equations cannot be set equal to a negative number. Abs. val. is the distance from zero and distance cannot be negative.

400

What kind of answer will you get to a literal equation?

The answer will be an expression.

500

Is -5 a solution to |-2x-1| = 11?

No.