A1 Final Review S2

Rules of Exponent

100

(5xy¹³)⁰

1

200

Simplify (5x³)(3x⁹)

15x¹²

300

Simplify (-3x³y²)(5xy^-1)

-15x⁴y

400

Simplify (2x²yz⁴)³

8x⁶y³z¹²

500

Simplify 3x⁵/15x²y

x³/5y

Exponential Functions

100

The graph of an exponential function look like a...

curve. 

200

Is the function below growth or decay? Explain why.

y=5(3)^x

Growth, because b>1

300

What is the common multiplier of the function?  

y=5(2)^x

2

400

The population of sparrows double each year.  If we started with 100 sparrows, how many sparrows would be on campus after 3 years? 

Use the function y=100(2)^x

800

500

The value of DOGE increases by 25% each year.  Write a function that would represent this growth if the value of DOGE started at $0.31.

y=.31(1.25)^x

Polynomials

100

Simplify -3x(2x²-4)

-6x³+12x

200

Simplify (6d-10d³+3d²) - (5d³+3d-4)

-15d³+3d²+3d+4

300

Multiply and simply (7x-6)(5x+6)

35x²+12x-36

400

Simply (2x-3)²

4x²-12x+9

500

Classify the expression x³+4x²-x-5 based on its number of terms and degree

Cubic Polynomial

Factoring

100

What is the GCF of 12x²-8x³ ?

4x²

200

Factor 15x²-10x³ completely

5x²(3-2x)

300

Factor x²-9x+14 completely

(x-7)(x-2)

400

Factor 2x²+7x+3 completely

(2x+1)(x+3)

500

Factor completely 12x⁴-3

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

Quadratic

100

What is the vertex?

Min/max POINT

200

What are the factors of y=x²-6x-27

(x-9)(x+3)

300

Solve 5x²+9 = 14

x= -1, 1

400

Solve x²+7x+10=0

x= -5, -2

500

Solve -3x²-11x = -4

x= -4, 1/3