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Multi-Step Equations w/ Variables on Both Sides
Absolute Value Equations
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Literal equations
100

Solving Equations

6(6n - 2) = 8n - 40

What is:

n = -1

100

Solve the Absolute Value equation

|6r + 6| = 60

 r = -11 or r = 9



100

Solve

3/4 m = -36

m = -48

100

Solve the literal equation for y.


2x − 4y = 20

y=1/2 x − 5

200

Solving Equations

5(1+2m) = 1/2 (8+20m)

What is:

No Solution

200

Solving Absolute Value

|10x - 3| = 27

x = 3 or x = -12/5 


200

Solve for y

20x + 5y = 15

y = -4x + 3

200

 Solve the equation for y.


8x − 3 = 5 + 4y

y = 2x − 2

300

−2(4y + 1) = −8y − 2

Identity; 

Infinitely Many Solutions

300

Solving Absolute Value

|3x + 9| -10 = -4


x = -5   or   x = -1

300

Solve

3t + 4 = 3(4 + t)

no solution

300

Solve the equation for y

x = 10y - y

y = x/9

400

Solving Equations

-5(8n - 4) - n = - 16 - 5n

What is:

n = 1

400

Solve: 

-2|3x + 1| = -20


x = 3 and  x = -11/3 or -3 2/3

400

5(1 + 2m) = 1/2(8 + 20m)

5 does not equal 4 so NO SOLUTION

400

Solve the equation for r.

I=Prt

What is:

r = I/Pt

500

Solving Equations

-15 - 5x = 5(-x - 3)


Identity -  infinite solutions

500

solve the absolute value equation:

-7|k + 5| = 14

no solution

500

Solve for x

y = 8 + 6x - px

x = (y - 8)/(p - 6)

500

Solve for h


a = bx + cx + d

(a - d)/(b + c)