Algebra II Unit 7 Review

+/- Rational Expressions

100

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

(3x+2)/(x+2)

200

2/3-(3x)/(x-6)

(-7x-12)/(3(x-6))

300

Simplify the following rational expressions:

(2n-4)/(n^2-n-20) - (n+1)/(n^2-n-20)

1/(n+4)

400

Simplify the following rational expressions:

(5x)/(x-3) + (5)/(x+6)

(5x^2+35x-15)/((x-3)(x+6))

500

Simplify the following rational expressions:

(2x)/(3x+3) - (2)/(x+5)

(2x^2+4x-6)/(3(x+1)(x+5))

600

(x-3)/(x^2-9x+20)-(x+2)/(2x^2-9x-5)

(x^2-3x+5)/((x-5)(x-4)(2x+1))

×/÷ Rational Expressions

100

Simplify the following rational expressions:

(1)/(v+10) * (10v+30)/(v+3)

(10)/(v+10)

200

Simplify the following rational expressions:

(4y)/(y-6) \div (4y)/(8y-48)

8

300

Simplify the following rational expressions:

(45x^2)/(x-9) * (x^2-5x-36)/(3x^3+12x^2)

15

400

Simplify the following rational expressions:

(7a^2)/(7a^3+56a^2) \div (2)/(a^2+7a-8)

(a-1)/(2)

500

(x^2+6x+9)/(x^2+2x+1)xx(2x+2)/(x+3)

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

600

(x^2-4x-21)/(8x-16)div(2x^2+5x-3)/(x-2)

(x-7)/(8(2x-1)

Simplify

100

(4x^2)/(2x)

2x

200

(x^2-64)/(3x-24)

(x+8)/3

300

(16-4x)/(x^2-8x+16

-4/(x-4)

400

(x^2+2x-24)/(3x^2-11x-4)

(x+6)/(3x+1)

500

(5x^2+20x)/(x^2+6x+8)

(5x)/(x+2)

600

Simplify

(b/2-32/b)/(1+8/b)

(b-8)/2

Inverse Variation

100

Tell whether x and y show direct variation, inverse variation, or neither.

xy = 14 

Inverse variation

200

Tell whether x and y show direct variation, inverse variation, or neither.

y + x = 24

Neither

300

Tell whether x and y show direct variation, inverse variation, or neither.

12x = y

Direct variation

400

The variables x and y vary inversely. Use the given values to write an equation relating x and y. Then find y when x = 2.

x = 4, y = 5

y = 20/x 

y = 10 (when x = 2)

500

The variables x and y vary inversely. Use the given values to write an equation relating x and y. Then find y when x = 3.

x = 6, y = −1

y = -6/x

y = -2 (when x = 3)

600

The variables x and y vary directly. Use the given values to write an equation relating x and y. Then find y when x = 5/3.

x = 4, and y = 12

y = 3x

y = 5 (when x = 5/3)

Random Trivia

100

What colors mixed together make the color purple?

Red + blue

200

What percentage of the Earth’s wildlife is found in the ocean? 

a. 85%

b. 94%

c. 88%

d. 95%

b. 94%

300

Who did the U.S. purchase the Louisiana Territory from?

France

400

What is the only planet in our solar system to rotate clockwise on its axis?

Venus

500

What Andrew Lloyd Webber Broadway show features the characters Mistoffelees and Old Deuteronomy?

Cats

600

Located between Israel and Jordan, this body of water is known for its high salt content, making it uninhabitable for most life forms.

The Dead Sea