S1 Final Review

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

Rewrite into radical form x^1/7

7th rt of x

200

Is the function below growth or decay? Explain why.

y=5(3/2)^x

Growth, because b>1

300

Write into radical form 6x^2/5

6 and the 5th root of x squared

400

The population of cheetahs decrease by 9% per year. Approximately, how many cheetahs will be left after 10 years?

681 cheetahs

500

Given the geometric sequence

 1,1.5, 2.25, 3.375... what is the 7th term?

11.390625

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

Calulate the AoS of y=-3x²+6x-5

x= 1

300

Solve 5x²+9 = 14

x= -1, 1

400

Solve x²+7x=0

x= 0, -7

500

Solve -3x²-11x = -4

x= -4, 1/3