FSA Algebra 1 Review

Polynomials

100

Add : (4x³ + 12x² + 8x + 6 ) + ( 5x² - 6x + 9 )

What is 4x³ + 17x² +2x +15

200

6x³ + 3x² + 2x + 9 - ( 4x³ + 6x² - 2x + 7)

What is 2x³ - 3x² +4x + 2

300

Multiply : (x-3) ( -x² + 2x + 1)

What is -x³ + 5x² -5x -3

400

Simplify : x² y³ z / x³ y z²

What is y² / xz

500

Simplify : (x-9)²

x²-18x+81

Quadratics

100

Graph : x² - 6x + 9 = 0

What is see white board

200

Find the solutions of x² + 13x = -36

What is x = -4 , x = -9

300

Solve: x²-5=20

What is x =5 : x = -5

400

An apple is dropped from a height of 8 feet, use the function h = -16t² - vt + s, to find the time it takes to hit the ground.

What is .71 seconds

500

A ball is thrown from 6 feet off the ground with a velocity of 64 inches per second. Find the maximum height the ball reaches. 

70

Systems of Equations

100

Is ( 3, 1) a solution for : { x + 3y = 6 4x - 5y = 7

What is : yes

200

Solve by graphing: { y = x + 4 y = -2x + 1

What is ( -1, 3 )

300

Solve by substitution: { 2x - y = 7  and 2x + 7y = 31

What is ( 5, 3)

400

Solve. 

2x+3y=20

8x+12y=60

What is no solution

500

You spent $134 on 2 adult tickets and 3 student tickets. Your friend spent $146 on 3 adult and 2 student tickets. What is the price of a student ticket?

What is $22

Exponents/Exponential functions

100

^multiply.

5x²y³(3x³y)

15x⁵y⁴

200

Divide

14x⁷y5/2x³y²

7x⁴y³

300

Simplify

(3x²y³)³

27x⁶y⁹

400

(5x³)(2x⁴)/x¹⁰

10/x³

500

Simplify

54x^5/4/9x^1/4

6

Factoring

100

4x²+24x

4x(x+6)

200

Factor by grouping 3x² + 6x + 5x + 10

What is (3x²+5) (x + 2)

300

9x²-144

(3x+12) (3x-12)

400

Factor Completely : 6c³ - 27c²d + 12cd²

What is 3c (c- 4d) ( 2c- d)

500

The area of a soccer field is ( 24x² + 100x + 100) m². The width of the field is (4x+10). What is the length?

What is (6x + 10) m