Algebra 2 Unit 5 Test Review

Factoring

100

Factor: 

x² - 5x + 4

(x - 1)(x - 4)

200

Factor: 

x² + 23x - 50

(x + 25)(x - 2)

300

Factor: 

2x² + 20x + 32

2(x + 2)(x + 8)

400

Factor:

9x² - 30x + 25

(3x - 5)²

500

Factor:

6x² - 17x - 14

(3x + 2)(2x - 7)

FOILing and combining like terms

100

FOIL then combine like terms to simplify:

-8x + (x - 1)(x + 9)

x² - 9, which is technically equal to (x - 3)(x + 3)

200

Distribute and combine like terms:

2x² - 3(x² - 10x + 5) - 4x

-x² + 26x - 15

300

FOIL:

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

2x² + 6xy - 15y - 3x - 5

400

Simplify by FOILing and combining like terms:

2x²(x - 3) - 5x(x - 3) + 11x² - 2x³

15x

500

Simplify by FOILing, then distributing, then CLT:

4xy - 6y(-2x + 3)²

By foiling, 4xy - 6y(4x² - 12x + 9)

Then distribute and combine like terms

4xy - 24x²y + 72xy - 54y =

-24x²y + 76xy - 54y

Simplifying expressions using properties of exponents

100

Apply properties of exponents to simplify:

(x²y³)(4xy⁵)

4x³y⁸

200

Simplify using properties of exponents:

(2x²y⁴)³(xy)

8x⁷y¹³

300

Simplify:

2x²y(3y² - 2xy) / 2xy

3xy² - 2x²y

400

Simplify:

10xy(2x³y)⁴ / 160x¹³y⁵

1

500

Simplify:

8xy(2x³y) + (4xy³)³ / 16xy²

x³ + 4x²y⁷

Synthetic Division and Long Division

100

Use either synthetic or long division to divide the following:

(x² - 5x + 4) ÷ (x - 1)

x - 4

200

Use synthetic or long division to divide the following:

(x² + 8x + 12) ÷ (x + 6)

x + 2

300

Use synthetic or long division to divide the following:

(3x² + 7x + 11) ÷ (x + 4)

3x - 5 + 31/x + 4

400

Use synthetic or long division to divide the following:

(2x³ + 13x² - 10x - 21) ÷ (x + 7)

2x² - x - 3

500

Use synthetic or long division to divide the following:

(-4x³ + x + 13) ÷ (x - 8)

-4x² - 32x - 255 - 2027/x - 8

Random Trivia

100

What middle school did I go to?

a) Bel Air

b) Fallston

c) Aberdeen

d) Patterson Mill

d) Patterson Mill

200

What color is my car?

a) white

b) a shade of blue

c) a shade of red

d) silver/grey

c) a shade of red

300

What day was my birthday?

a) February 20th

b) February 25th

c) February 15th

d) February 18th

a) February 20th

400

Name the top 3 largest states by land area in the United States, in order of largest to smallest.

Must be in the correct order to earn points.

Alaska (665,000 mi²), Texas (269,000 mi²), then California (164,000 mi²)

Next largest are Montana (147,000 mi²), New Mexico (122,000 mi²), and Arizona (114,000 mi²)

500

What sport have I not played, either in school or rec?

a) Soccer

b) Tennis

c) Golf

d) Baseball

b) Tennis