9th Grade Review

Factoring Polynomials

100

Factor: x²+4x+3

(x+2)(x+1)

200

Factor: x² - 4x - 45

(x - 9)(x+5)

300

x²-9x+18

(x - 3)(x - 6)

400

4x² - 9

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

500

3x² + 10x + 8

(3x + 4)(x + 2)

Adding Polynomials

100

(4x + 9) + (x - 4)

5x + 5

200

(-3a - 2) + (7a + 5)

4a + 3

300

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

(t² + 3t³ -3) + (2t² +7t -2t³)

t³ +3t² +7t -3

500

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

mult. exponents

100

rewrite using positive exponents

(7³)(7¹⁰)

7¹³

200

rewrite using positive exponents

(11⁷)(11²⁴)

11³¹

300

Solve:

(2/4)²

1/4 or 1/16

400

Rewrite using positive exponents

x^-2x⁴y^-3z

x²z/y³

500

Rewrite using positive exponents

(x^-4)^-5

(2^4 )^5

x²⁰

div. exponents

100

rewrite using positive exponents

4^8/4^3 

4^5

200

rewrite using positive exponents

12^11/12^7 

12^4

300

rewrite using positive exponents

(9^6•9^9)/9^11 

9^4

400

rewrite using positive exponents

(3/4)^25/(3/4)^20 

(3/4)^5

500

rewrite using positive exponents

s^17/s^11 

s^6

Scientific Notation

100

Write using scientific notation:

0.000011

1.1 x 10^-5

200

Write using scientific notation:

134,000

1.34 x 10⁵

300

Write using scientific notation:

(2 x 10⁵)(8 x 10²)

1.6 x 10⁸

400

Write using scientific notation:

(3 x 10⁷)(2 x 10^-4)

6 x 10³

500

Write using scientific notation:

(24 x 10⁵) divided by (2 x 10^-3)

What is a box and whisker diagram?

Negative exponents

100

rewrite using positive exponents

5^-7

1/5^7

200

evaluate

3^-4

1/81

300

rewrite

7^0

1

400

rewrite using positive exponents

7^(-9)/7^3 

1/7^12

500

rewrite using positive exponents

11^(-3)/11^4 

1/11

But wait - there's more exponents!

100

125 = 5^x

x = 3

200

(100xy + 36y)⁰ = 

(100xy + 36y)0 = 1

300

3^-3 = 

1/27

400

4^1/2 =

 = 2

500

8^2/3 = 

= 4