1. Today:
 Review for Final Exam
 Mixture Type Problems
 Alt.Khan here, due Friday
 Final Exam: Part I Wed., Part II
Thursday
June 9, 2014

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

3. 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?

4. 5x  1  3x 5  2.
Set up the equation
so that there will be
only one radical on
each side of the equal sign.
Square both sides
of the equation.
Simplify.
Simplify by dividing
by a common factor of 2.
Square both sides of the
equation.
5x 1 2
 2  3x  5 2
5x 1
5x 1 3x 1 4 3x  5
2x  2  4 3x  5
x 1 2 3x  5
x 1 2
 2 3x  5 2
x2
 2x 1  4(3x  5) Use Foil.
5x 1  2 3x  5
Use Foil. 4  4 3x  5  (3x  5)
Solve
Solving Radical Equations

5. x2
 2x 1  4(3x  5) Distribute the 4.
x2
 2x 112x  20 Simplify.
x2
10x  21 0 Factor the quadratic.
(x  3)(x  7)  0 Solve for x.
x - 3 = 0 or x - 7 = 0
x = 3 or x = 7 Verify both solutions.
5x 1  3x  5 2
5(3)  1  3(3)  5
4  2
2
5x 1  3x  5 2
5(7)  1  3(7)  5
6  4
2
Solving Radical Equations
L.S. R.S. L.S. R.S.

6. Rational Expressions vs. Equations
Rational Expressions Rational Equations

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

8. 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:

9. 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

10. 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
+ =

11. Class Work: See Handout