Absolute Value and Literal Equations

Algebraic Proportions

100

3/8 = n/2

n=3/4

200

8/9 = 9/(k-3)

k = 105/8

300

n/(n+4)= 6/4

n=-12

400

(2k+8)/3= k/9

k=-24/5

500

(x+8)/2 = (x+7)/5

x=-26/3

Absolute Value Equations

100

|-2x+6| = 6

x={0, 6}

200

|5x| + 5 = 45

x={-8, 8}

300

3 |−8x| + 8 = 80

x={-3, 3}

400

3 |3 − 5r| − 3 = 18

r={-4/5, 2}

500

6 |1 − 5x| − 9 = 57

x={-2, 12/5}

Literal Equations

100

Solve for L

A = LWH

L = A/(WH)

200

Solve for x

u=x-k-y

x=u+k+y

300

Solve for x

g=cx-y

x=(g+y)/c

400

Solve for x

z=-12x-12-4y

x=(z+4y+12)/-12

500

Solve for n

m+2n²=7m

n=sqrt(3m)

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

Random

100

Simplify the following expression:

62

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

Identify the slope and y-intercept: 6x+3y=18

m=-2  b=6

500

What does the graph of a system of equations look like when there is no solution?

PARALLEL LINES