Today:Review for Final ExamReview Rational Expressions &

EquationsFinal Class Work Distributed

Jeanette bought 2 scoops of ice cream and 3 brownies for $4.40. Nanette bought 3 scoops of ice cream and one brownie for $5.20. How much was each item?

20% of what number is 80?

A) 40 B) 16 C) 1600 D) 400 E) 160

A 40" piece of wood was cut into three pieces. The lengths of the three pieces

were: 2x -5, x + 7, and x + 6.What was the length of the longest piece?

Bonus Question: 10 pts.(Submit answers before the end of class)

Hint: You can call the middle number 'two spoons and a fork' if you want, but the

relationship between any three consecutive numbers is always the same.

Rational Expressions & Equations Test: (Wed.)

Notes

1. Our last test before the final exam will be on Wednesday, June 3rd. 2. Last Khan Academy topics are due this weekend.

3. The Last day to submit class work is Friday, June 5th.

4. STAR Math Testing still to come before end of year.

Warm-Up Section of notebook

Lastly,

All of today's questions were taken from the 4 versions of the final exam

Final Exam Review: Radicals

Find the LCD of the following rational expression.

124

3,

6

1

yx

y

yy 326 )3(2)3(4124 2 yyy)3(12)3(32 is LCD theSo 2 yyyy

Find the LCD of the following rational expressions.

xx 3

2,

3

1

Both of the denominators are already factored. Since each is the opposite of the other, you can use either x – 3 or 3 – x as the LCD.

Adding & Subtracting Rational Expressions

32

)32(3

32

7

x

x

x

32

96

32

7

x

x

x

32

967

x

x

32

616

x

x

Subtract:

)2)(3()2)(3(

4

xx

x

xx

)3)(2)(3(

)3(

)3)(2)(3(

)3(4

xxx

xx

xxx

x

)3)(3)(2(

3124 2

xxx

xxx)3)(3)(2(

122

xxx

xx

Add:

Adding & Subtracting Rational Expressions

Multiply the 1st fraction by an equivalent form of the number 1 so

the denominators are the same.95 729

3

yy

59

3

y 4

4

5 8

8

9

3

y

y

y 9

4

72

24

y

y

Multiplying & Dividing Rational Expressions

Multiplying & Dividing with Polynomials

Factor numerators and denominators first. Then, multiply (don’t FOIL, keep in

factored form) Simplify.

Divide: (Factor by Grouping)

Simplify:

Solve the following rational equation.

What is the LCD?

2613 xx 2633 xx 233 x

13 x3

1x

Solving Rational Equations: Last Practice Problem