1. Review for Final Exam
Review Rational Expressions & Equations
Final Class Work Distributed

2. 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

5. 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?

6. 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.

7. Rational Expressions & Equations Test:
(Wed.)

8. 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

9. All of today's questions were taken from the 4
versions of the final exam
Final Exam Review: Radicals

10. Find the LCD of the following
rational expression. 124
3
,
6
1
y
x
y
yy 326  )3(2)3(4124 2
 yyy
)3(12)3(32isLCDtheSo 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

11. 



 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

12. Multiply the 1st fraction by an equivalent form of
the number 1 so the denominators are the same.
95
729
3
yy

5
9
3
y  4
4
5
8
8
9
3
y
y
y 9
4
72
24
y
y
Multiplying & Dividing Rational Expressions

13. Multiplying & Dividing with Polynomials
 Factor numerators and denominators first.
 Then, multiply (don’t FOIL, keep in factored form)
 Simplify. Divide: (Factor by Grouping)
Simplify:

14. Solve the following
rational equation.
What is the LCD?
  2613  xx 2633  xx 233  x
13  x
3
1x
Solving Rational Equations: Last Practice Problem