Unit 5 Imaginary Numbers & Rational Expressions

Monday 1/13

Page 1

Unit 5 – Complex Operations & Rationals7.0 Add, Subtract, multiply, divide, reduce, & evaluate

rational expressions, including negative exponents

5.0 Demonstrate knowledge of how real and complex numbers are related both arithmeticallyand graphically

Exponent RulesNegative exponent

Product of a power

Quotient of a power

aa n

n 1

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ab

ba

nn

aaanmnm

aaa nm

n

m

Power of a Product

Power of a Power

Zero Exponent

baab mmm)(

aamnnm )(

10 a

Exponent ExamplesPage 13

4222232

4

2)2(

31 )(zyxzyx

zxy

Step 1Power of a power, Distribute exponents With multiplication

Step 2Take the reciprocalof the negative exponents

Step 3Combine like terms, product of a power,Add exponents

Step 4

Quotient of a power

Subtract exponents

Step 5

Reduced

Answer questions the 4 questions applying the exponential rules

**glue – syllabus inside cover**

Unit 5 Imaginary Numbers & Rational Expressions

Tuesday 1/14

Factoring

Simplifying Expression with Factoring

Factoring is finding what to multiply

Together to get an expression

ax2+bx+c

ac product of 2 numbers equal ac

# # Sum of 2 numbers equal b

b

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X2+4x +3 3 1 3

4 factors are (x+1)(x+3)

If unable to use the x box, use the highest common factor to find a binomial

3y2+12y, highest common factor is 3y, so the factor is 3y(y+4)

Dividing Fractions, “Keep, Change, Flip”

Complete 4 questions over factoring

Favorite Breakfast

** use this page to show your work, solve 1-6 only. Cross out H, G, I, S, E, T**

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Wednesday 1/15

Power outage. Continued to work on Favorite Breakfast & started FACEing Math

Thursday 1/16 – Sub. FACEing Math Show work on page 18 & 19 in notebook.

Friday 1/17

Health Fair or continued to work on FACEing Math.