Algebra 1 Factoring Review (Ch. 6-8)

Growth or Decay

100

y=500(1+0.5)²

What is Growth?

200

y=500(0.75)^x

What is decay?

300

An exponential growth function with the following information in terms of t : initial value is 1000 and the rate is 13%.

What is y=1000(1-0.13)^t?

400

An exponential decay function with the following information in terms of t : initial value is 1000 and the rate is 2%.

What is y=1000(1-0.02)^t

500

An iPhone costs $700 and it's value decreases exponentially at a rate of 7%. What will it's value be in 10 years? Round to the nearest dollar.

What is $339?

Operations with Polynomials

100

(x+3)+(x-3)

What is 2x?

200

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

What is 4x - 1?

300

(4x+5)²

What is 16x²+40x+25?

400

Determine the a, b and c term for your ANSWER after you multiply: (2x-7)(x-1)

What is a=2, b=-9, and c=7?

500

New Jersey Republican and Democrat voters participated in yesterday's election. The population of each is given by the following functions such that t is hours after the polls open.

D(t)= 12t² - 250t + 5800

R(t)= 14t² - 310t + 7800

Write a polynomial function that represents the TOTAL number of voters.

What 26t²-560t+13600?

GCF

100

3x²+ 6x

What is 3x

200

5x² - 125x

What is 5x

300

4x³ + 6x + 2x²

What is 2x

400

6x²y + 9xy²

What is 3xy

500

15x²y⁴+20x⁴y²

What is 5x²y²

Factor & Solve Trinomials

100

x² + 2x + 1

What is (x+1)(x+1)?

200

x³-7x²+5x-35

What is (x²+5)(x-7)?

300

3x² + 8x + 5

What is (3x + 5)(x + 1)?

400

Determine the zeros: (x²+10x+16)(x+1)

What is x=-1, -8, -2

500

3x² + x − 10

What is (3x − 5)(x + 2 )?

Exponents

100

(x² y²)(4x⁵)

What is 4x⁷y²?

200

x²y⁵/y⁸

What is x²/y³?

300

(2x⁵y³)²

What is 4x¹⁰y⁶?

400

(x²y⁶z)⁸/(x⁵y²z²)²

What is x⁶y⁴⁴z⁴?

500

(100a⁸b⁶c¹⁰)/(10a⁴b³c⁵)²

What is 1?