Algebra 1A Semester 2 Final Review

Polynomial Operations

100

What is the coefficient of 8x³

8

200

8x⁹y¹⁰ * 11x¹²y¹³

88x²¹y²³

300

(x+6)²

x²+12x+36

400

(4x¹⁰y¹²)⁴

256x⁴⁰y⁴⁸

500

(3x³+2x²+x)(7x+8)

21x⁴+38x³+23x²+8x

Graphing & Solving Quadratics

100

Solve.

6x²+11=395

x=+/- 8

200

Sketch the graph of the given quadratic.  

y=2(x-3)²-1

(See graph below)

300

Sketch a graph of the given quadratic.  

y= - x²+8x-11

(See graph below)

400

Solve.  

(3x+9)(5x-7)=0

x =- 3, 7/5

500

Solve.

5x²+23x-10 = 0

x = -5, 2/5

Factoring

100

Factor.

50v⁴ - 10v³+20v²

10v²(5v² - v+2)

200

Factor.

r²+19r+90

(r+10)(r+9)

300

Factor.  

5r² - 31r+6

(5r - 1)(r - 6)

400

Factor.

7x² - 55x+42

(7x - 6)(x - 7)

500

Factor.

4n² - 21n+20

(n - 4)(4n - 5)

Systems of Equations

100

y = 2x - 15

y = -3x+5

(4,-7)

200

-2x - 2y = 10

y = 3x+11

(-4, -1)

300

x+3y = -7

-5x - 8y=0

(8, -5)

400

2x+9y = -1

4x - 9y = 25

(4, -1)

500

7x+7y = -2

-14x - 14y = 14

No Solution

Helias Trivia

100

What is the mascot of Helias Catholic High School?

Crusaders

200

What year was Helias Catholic founded?  

1956

300

Who is the current president of Helias Catholic?

Mr. Vossen

400

What year was the football stadium finished?

2018

500

What is the official name of the Helias Catholic Chapel?

Pope Pius XVI Chapel