1. Today:
 Review for Final Exam
June 14, 2015

2. Warm-Up Section of Notebook

3. 1. 𝒙 𝟐
+ 𝟑 = 𝟐𝟕
𝒙 𝟐
= 𝟐𝟒
−𝟑 = −𝟑
𝒙 𝟐 = 𝟐𝟒
𝐱 = ±𝟐 𝟔
Final Exam Review:

4. Final Exam Review:

5. Rational Expressions vs. Equations
Rational Expressions Rational Equations

6. (5, 4) (4, 6)
If one of the coordinates is missing, and the distance is given,
the result will be a quadratic equation
x = 5 ±3
Distance & Mid-Point

7. Radical Operations & Equations

8. Last week a store sold six more than three times the number of
CD’s sold this week. A total of 110 CD’s were sold during the two
weeks.
What is the best method to use to solve this system of equations?
l + t = 110; l = 3t + 6 this week: 26; last week: 84
Let ‘t’ represent this week and ‘l’ represent last week.
Systems of Equations

9. Inequalities

10. Write the inequality shown below:

11. 3 2x  7 13  -2 x  8  4x
x < - 2
||
2 0
 
Solve & Graph
Use the Standard Form of the equation.

12. Answer in reduced fraction form: What is 22% of
𝟐
𝟓
?
Fractions, Decimals, Percent

13. y > ½x - 3

14. Final Exam Review:

17. Word Problems:
Mixture, Coin, Work, Distance
Mixture Type Problems

18. A store mixes some candy worth $3.50 a pound with other
candy costing $1.00/lb. There are 10 more pounds of the
cheaper candy than the more expensive one. The total value of
the mixture is $28. How many pounds of each type of candy
are there? What is the per pound cost of the new candy mix?
Expensive
$3.50/ lb
x lbs.
3.5x
Cheaper
$1.00/ lb
x + 10 lbs.
1(x + 10)
Mix
+ =
3.5x + 1.0x +10 = 28 x = 4; x + 10 = 14
$28
Mixture Type Word Problems:

19. Mixture Type Word Problems:
Redtop
$9.50/ lb
40 lbs.
$9.50(40)
Mixture
$10.50/ lb
60 lbs.
$10.50(60)
Bluegrass
x
100 lbs.
100x
$9.50(40) + $10.50(60) = 100x x = $10.10

20. Gourmet
$8.00/ lb
10 lbs.
$8.00(g)
$6.00/ lb
Regular
$6.75/ lb
g lbs. (10 - g) lbs.
$6.00 (10 - g)
Mixture
$6.75(10)
g = 3.75; r = 6.25
+ =

21. Class Work: See Handout

22. A rescue helicopter and an ambulance are both
traveling from the scene of an accident to the hospital.
Each grid line is 1 mile; the solid line represents the
ambulance, the dotted line, the helicopter.
How far did each travel?
𝟒𝟏 = 𝟔. 𝟎𝟒 𝒎𝒊𝒍𝒆𝒔