Pre-Algebra Unit 5 Review

Multiplying with Exponents

100

x²*x³

x⁵

200

2x³*3x⁴

6x⁷

300

a²*b³*a⁴*b²

a⁶*b⁵

400

(x²*x⁴)³(3x)²

9x²⁰

500

(1/3x³y²)²(9x²y⁷)

x⁸y¹¹

Dividing

100

x⁴ / x

x³

200

(2/3x)²

4/9x²

300

(xy¹⁷)/(x⁶y¹²)

y⁵/x⁵

400

Find the quotient of 3x²y⁹ and 9x¹⁰y⁷

y²/3x⁸

500

(x+zy⁷)⁰ / (x²x⁷y⁰)

1/x⁹

Multiplying Polynomials

100

x(x+3)

x²+3x

200

2x²(3x+4)

6x³+8x²

300

(x+2)(x-3)

x²-x-6

400

(5x-4)(2x+3)

10x²+7x-12

500

(x+4)(x²+3x+5)

x³+7x²+17x+20

Scientific Notation

100

Convert to 4000 to scientific notation:

4*10³

200

Convert 2560000 to Scientific Notation

2.56*10⁶

300

Convert 3.2*10⁵ to standard form

320000

400

Convert to 4.5*10^-6 to standard form

.0000045

500

Simplify .0000004 divided by .00000002 (convert both to scientific notation!)

20

Factoring out GCF

100

What does GCF stand for?

The Greatest Common Factor!

200

What's the GCF of 12x, 9xy, and 18xz

3x

300

Factor out the GCF from 2x+2

2(x+1)

400

Factor out the GCF from 3x²y+6xy+30y

3y(x²+2x+10)

500

Factor out the GCF from 26x³y - 39x⁴y+65x²y²

13x²y(2x-3x²+5y)