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# June 9, 2014

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### June 9, 2014

1. 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. 2. 1. 𝒙 𝟐 + 𝟑 = 𝟐𝟕 𝒙 𝟐 = 𝟐𝟒 −𝟑 = −𝟑 𝒙 𝟐 = 𝟐𝟒 𝐱 = ±𝟐 𝟔 Final Exam Review:
3. 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. 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. 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. 6. Rational Expressions vs. Equations Rational Expressions Rational Equations
7. 7. Word Problems: Mixture, Coin, Work, Distance Mixture Type Problems
8. 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. 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. 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. 11. Class Work: See Handout