Chapter 5 Review

Simplifying Rational Expressions

100

Simplify the rational expression. 

(x^2+5x-14)/(x^2-4x+4)

(x+7)/(x-2)

200

Simplify the rational expression.

(x^2-9x+14)/(x^2-5x-14)

(x-2)/(x+2)

300

What is the LCM of x²+x-6 and x²-9 ?

 (x+3)(x-2)(x-3)

400

Simplify the rational expression. 

(2x^2+2x-4)/(x^2-5x-14)

(2(x-1))/(x-7)

500

Simplify the rational expression.

(8x^2+10x-3)/(6x^2+13x+6)

 

(4x-1)/(3x+2)

Solving Rational Functions

100

Solve the equation. 

5/x=7/(x+2)

x=5

200

From 1923-to 1969 what state had a different language than English as their official language? 

A 1929 Illinois law made American the official language. 

300

Solve the equation. 

(x+12)/3=(2x+3)/(x+2)

x= -5, -3

400

Solve the equation.

1/(x+6)+(x+1)/x=13/(x+6)

x=2,3

500

Solve the equation.

(3x)/(x+1)+6/(2x)=7/x

x=-2/3, 2

Multiply & Divide Rational Functions

100

This president was inducted into the national Wrestling Hall of Fame in 1992. He was defeated only once in roughly 300 matches. 

President Abraham Lincoln

200

Multiply and simplify:

(6x^2-18x)/(x^2-10x+21) * (x^2-14x+49)/(3x^2)

(2(x-7))/x

300

Divide and simplify. 

(5x^2y^3)/(x^7) div (30xy^4)/(y^3)

y^2/(6x^6)

400

Multiply and simplify.

(x-3)/(2x-8) * (6x^2-96)/(x^2-9)

(3(x+4))/(x+3)

500

Divide and simplify.

(3x+27)/(6x-48) div (x^2+9x)/(x^2-4x-32)

(x+4)/(2x)

Add & Subtract Rational Functions

100

In Beech Grove Indiana, it is illegal to eat what in a park?

Muffins

Rice

Watermelon

Hamburger

Watermelon

200

Add the expressions and simplify. 

12/(5x)+7/(6x)

107/(30x)

300

Find the Least Common Multiple (LCM): 

10x^2-15x

5x^3

5x^2(2x-3)

400

Add the expressions and simplify. 

x/(x^2-x-12) + 5/(12x-48)

(17x+15)/(12(x-4)(x+3)

500

Subtract the expressions and simplify.

(x^2-5)/(x^2+5x-14) - (x+3)/(x+7)

(-x+1)/((x+7)(x-2)