1 / 11

Solving a System of Equations by Elimination Algebra Comprehensive October 31, 2011

Solving a System of Equations by Elimination Algebra Comprehensive October 31, 2011 Today is a B day!!!!. Warm-up: (REVIEW OF PREVIOUS LESSONS) 1.) If the domain of the function f(x) = 2x 2 - 4x - 3 is [-3, 3], then what is the range? a.) [-5, 27] b.) [-3, 27] c.) [3, 27] d.) [5, 27]

luce
Download Presentation

Solving a System of Equations by Elimination Algebra Comprehensive October 31, 2011

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Solving a System of Equations by Elimination Algebra Comprehensive October 31, 2011 Today is a B day!!!!

  2. Warm-up: (REVIEW OF PREVIOUS LESSONS) 1.) If the domain of the function f(x) = 2x2 - 4x - 3 is [-3, 3], then what is the range? a.) [-5, 27] b.) [-3, 27] c.) [3, 27] d.) [5, 27] 2.) Solve the equation for x. 3(5x - 1) = 8 - 2x

  3. Method of Elimination: When solving a linear system, you can sometimes add or subtract the equations to obtain a new equation in one variable. Steps to Solve Using the Elimination Method: Step 1: Add or Subtract the equations to eliminate a variable. Step 2: Solve the resulting equation for the other variable. Step 3: Substitute in either original equation to find the value of the eliminated variable.

  4. Example 1: Using Addition to Eliminate a Variable 2x + 3y = 11 -2x + 5y = 13

  5. Example 2: Using Subtraction to Eliminate a Variable 4x + 3y = -2 5x + 3y = -2

  6. Example 3: Arranging Like Terms 8x - 4y = -4 4y = 3x + 14

  7. Practice: 1.) 4x - 3y =5 2. 6x - 4y = 14 -2x + 3y = -7 -3x + 4y = 1 3. 7x - 2y = 5 4. 2x + 5y = 12 7x - 3y = 4 5y = 4x + 6

  8. Geometry Link: The rectangle has a perimeter P of 14 feet, and twice its length L is equal to 1 less than four times its width w. Write and solve a system of linear equations to find the length and the width of the rectangle.

  9. Oil Change: Two cars get an oil change at the same service center. Each customer is charged a fee of x dollars for the oil change plus y dollars per quart of oil used. The oil change for the car that requires 5 quarts of oil costs $22.45. The oil change for the car that requires 7 quarts of oil costs $25.45. Find the fee and the cost per quart of oil.

  10. Solve these systems of equations using addition or subtraction. x - y = 7 3x - 2y = 8 2x - 5y = -16 3x + y = 5 x - 2y = 0 3y = 2x + 12 Suppose two eggs with bacon cost $2.70. One egg with bacon costs $1.80. At these rates, what will bacon alone cost? Five gallons of regular unleaded gas and eight gallons of premium gas cost $17.15. Five gallons of regular unleaded and two gallons of premium gas cost $8.75. Find the cost per gallon of each kind of gasoline.

  11. Homework: Pgs. 447 - 450 4, 10, 15, 20, 23, 27, 38, and 41

More Related