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

One-Step Absolute Value Equations

100

Solve

|x| = 3

x = 3, x = -3

200

|x| = -4

NO SOLUTION

Absolute value will never evaluate to be a negative number.

300

|x+4| = 8

4, -12

400

|−3r| = 9

3, -3

500

|x/5| = 2

10, -10

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.