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System of Equations Elimination Method Practice

8th grade math<br>Pre Algebra

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System of Equations Elimination Method Practice

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  1. Good Morning! 02/09

  2. Name- __________________________ Warm-Up Elimination Method Directions: Use the elimination method to solve the problem below. Hint: See the steps below if you need help. 1. Systems of Equations- Elimination Method Steps • Organize equations by like terms. • Modify one or both equations to create “opposites” for x or y. • Add the equations to eliminate the x or y terms. • Solve for the first variable. • Plug back in to solve for the other variable

  3. Name- __________________________ Warm-Up Elimination Method Directions: Use the elimination method to solve the problem below. Hint: See the steps below if you need help. 1. 2x + 2y = 6 2(2) + 2y = 6 4 + 2y = 6 -4 -4 2y = 2 2 2 y = 1 2x + 2y = 6 2(3x - y = 5) 2x + 2y = 6 6x - 2 y = 10 2x + 2y = 6 6x - 2 y = 10 8x = 16 8 8 x =2 (+) Systems of Equations- Elimination Method Steps • Organize equations by like terms. • Modify one or both equations to create “opposites” for x or y. • Add the equations to eliminate the x or y terms. • Solve for the first variable. • Plug back in to solve for the other variable Solution: (2,1)

  4. Elimination Using Multiplication Example 2: Multiply Both Equations to Eliminate 3x + 4y = -25 2x - 3y = 6 4x + 5y = 6 6x - 7y = -20

  5. Elimination Using Multiplication Example 2: Multiply Both Equations to Eliminate 3x + 4y = -25 2x - 3y = 6 Solution (-3, -4) 4x + 5y = 6 6x - 7y = -20 Solution (-1, 2)

  6. Thursday 02/10

  7. Name- __________________________ Quiz Review Warm-Up Directions: Solve using the elimination method. Show all your work. Solution: (___,____) Solution: (___,____)

  8. FROG ACTIVITY DUE TUESDAY (02/15)

  9. Name(s): Date: Period: Tic Tac Toe! Solving systems of linear equations. (Board A) x + y = - 3 x - y = 1 5x + y = 9 10x - 7y = - 18 x - y = 14 x + y = 20 x + 3y = 12 x - y = 11 x - 2y = 0 4x + 2y = 15 8x - 30y = -11 2x - 5y = 27 4x - 7y = 10 3x + 2y = -7 -2y + x = - 4 2x - 8y = 44 6x + 2y = -10 2x + 2y = -10

  10. Tic Tac Toe! Solving systems of LInear equations. (Board A) x + y = -3 x - y = 1 5x + y = 9 10x - 7y = -18 x - y = 14 x + y = 20 ( 17 , 3) ( 1 , 4) ( -1 , -2) x + 3y = 12 x - y = 12 x - 2y = 0 4x + 2y = 20 8x - 30y = -10 2x - 5y = 25 ( 12 , 0) ( 4 , 2) ( 40, 11) 4x - 7y = 10 3x + 2y = -7 -2y + x = -4 2x - 8y = 44 6x + 2y = -10 2x + 2y = -10 ( -1 , -2) ( -30,-13) ( 0 , -5)

  11. Name(s): Date: Period: Tic Tac Toe! Solving systems of linear equations. (Board B) -4x - 2y = -12 4x + 8y = -24 2x + 3y = 11 x + 2y = 7 x - y = 14 x + y = 20 -6x + 6y = 6 6x + 3y = -12 -4x + 9y = 9 x - 3y = -6 -3x + 7y = -16 -9x + 5y = 16 4x - 7y = 10 3x + 2y = -7 7x + 2y = 24 8x + 2y = 30 6x + 2y = -10 2x + 2y = -10

  12. Tic Tac Toe! Solving systems of LInear equations. (Board B) -4x -2y = -12 4x + 8y = -24 2x + 3y = 11 X + 2y = 7 x - y = 14 x + y = 20 ( 17 , 3) (1,3) ( 6 ,-6) -6x + 6y = 6 6x + 3y = -12 -4x + 9y = 9 X -3y = -6 -3x +7y = -16 -9x + 5y = 16 (-4, -4) ( 5 , 6) ( 9, 5) 4x - 7y = 10 3x + 2y = -7 7x+ 2y = 24 8x +2y = 30 6x + 2y = -10 2x + 2y = -10 ( -1 , -2) ( 0 , -5) ( 6 , -9)

  13. Tic Tac Toe! Solving systems of LInear equations. (Board C) x + y = -3 x - y = 1 8x + y = -16 -3x + y = -5 4x - 7y = 10 3x + 2y = -7 -6x + 6y = 6 6x + 3y = -12 -2y + x = -4 2x - 8y = 44 5x + y = 9 10x -7y = -18 x - y = 14 x + y = 20 2x + 8y = 6 - 5x - 20y = -15 8x + 14y = 4 -6x - 7y = -10

  14. Tic Tac Toe! Solving systems of LInear equations. (Board C) x + y = -3 x - y = 1 8x + y = -16 -3x + y = -5 4x-7y = 10 3x + 2y = -7 ( -1 , -2) ( -1, -2) ( -1 , -8) -6x + 6y = 6 6x +3y = -12 -2y + x = -4 2x - 8y = 44 5x + y = 9 10x -7y = -18 (30 , 3) ( 5 , 6) ( 1 , 4) 2x + 8y = 6 -5x -20y = -15 x - y = 14 x + y = 20 8x +14y = 4 -6x -7y = -10 ( 17 , 3) Many solutions ( 4 , -2)

  15. Tic Tac Toe! Solving systems of LInear equations. (Board D) -3x + 7y = -16 -9x + 5y = 16 2x + 8y = 6 -5x - 20y = -15 7x + 2y = 24 8x + 2y = 30 5x + 4y = -14 3x + 6y = 6 x + 3y = 12 x - y = 11 8x + y = -16 - 3x + y = -5 - x - 7y = 14 - 4x - 14y = 28 x - y = 14 x + y = 20 5x + 4y = -30 3x - 9y = -18

  16. Tic Tac Toe! Solving systems of LInear equations. (Board D) -3x + 7y = -16 -9x + 5y = 16 2x + 8y = 6 -5x - 20y = -15 7x + 2y = 24 8x + 2y = 30 (-4, -4) Many solutions ( 6 , -9) 5x + 4y = -14 3x + 6y = 6 x + 3y = 12 x - y = 12 8x + y = -16 - 3x + y = -5 ( 12 , 0) (-6,4) (-1,-8) -x -7y = 14 -4x - 14y = 28 x - y = 14 x + y = 20 5x + 4y = - 30 3x - 9y = - 18 (0,-2) ( 17 , 3) (-6,0)

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