Simplifying and Solving

Exponent Rules

100

(12m⁸)/(6m^-3)

2m¹¹

200

(2x)^-3

1/(8x³)

300

(4xy²)(2y)³

32xy⁵

400

(y⁴)²/(y³)²

y²

500

(2x/3)^-2

9/(4x^2)

Multiply Polynomials

100

(x+2)(x-5)

x²-3x-10

200

(2x)(x-1)

2x²-2x

300

(2y-1)(y+7)

2y²+13y-7

400

(4x+1)²

16x²+8x+1

500

(x-1)(x+y+1)

x²+xy-y-1

Equations with Multiplication

100

5x-4(x-3)=8

x=-4

200

8(x-2)=2(2-x)

x=2

300

(2x)(3x-5)=6x²+30

x=-3

400

(x+2)(x+3)=x²-2x-8

x=-2

500

(x+2)(x-3)=(x+1)(x+5)

x=-11/7

Equations with Absolute Value

100

|x|=8

x=8 or x=-8

200

|x-4|=12

x=16 or x=-8

300

|4x+1|=10

x=9/4 or x=-11/4

400

|3-2x|=7

x=5 or x=-2

500

3|x-5|=9

x=8 or x=2

Equations with Multiple Variables

100

Solve for y: 5x+3y=15

y=-(5/3)x+5

200

Solve for a: b-2a=c

a=(c-b)/(-2)

300

Solve for w: 2l+2w=p

w=(p-2l)/2

400

Solve for r: 4(r-3s)=r-5s

r=(7s)/3

500

Solve for m: F=a/m

m=a/F