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Rational Expressions
Rational Exponents
Equations & System of Equations
Exponential Equations
100

Simplify: 

45/(10a-10)

9/(2(a-1))

100

Simplifying Rational Exponents

(27x^6)^(5/3)

243x^10

100

Solve the equation

y=-x

2x+y=3

x=3; y=-3

100

Solve

2^(x − 1) = 2^(2 x − 4) 

x=3

200

Simplify: 

(x-4)/(3x^2-12x)

1/(3x)

200

Simplifying Rational Exponents

(25x^6)^(-1.5)

1/(125x^9)

200

Solve the equation

y=-5

y=x^2-2x-3

No solution

200

Solve. 

2^(3x+1)−4=0

x=1/3

300

Simplify: 

(15n-3)/24

(5x-1)/8

300

Simplifying Rational Exponents

(4x^2)/(2x^(1/2))

2x^(3/2)

300

Solve this linear-quadratic system of equations

y=x^2-6x+3 and 2x-y=13

(4, -5)

300

27^x=3^(2x-1)

x=-1

400

Simplifying Rational Expressions

(x^2-7x-30)/(x^2-5x-24)

(x-10)/(x-8)

400

Simplifying Rational Exponents

(4x^3)(x^(-5/3))

4x^(4/3)

400

Solve the equation

4x+2y=10 

x−y=13

x=6; y=-7

400

8^(4x-3)=32^(2x+1)

x=7

500

Simplify: 

(6v^3+42v^2)/(2v^2+26v+84)

(3v^2)/(v+6)

500

Solve the equation.

(5x)^(3/2)+10=135

x=5

500

 Solve the system

− x − 5 y − 5 z = 2 

4 x − 5 y + 4 z = 19 

x + 5 y − z = −20 

x=-2, y=-3, z=3

500

125^(x^2+5)=(1/25)^(-2x^2+4)

x=sqrt23