Warm-ups: Systems of Equations Elimination. Graph each system of equations (Same Graph!) and identify the solution (the ordered pair that they both share):

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Presentation transcript:

Warm-ups: Systems of Equations Elimination

Graph each system of equations (Same Graph!) and identify the solution (the ordered pair that they both share): 1. y = 2x – x + y = 2 Warm-up: Friday Week 4

Determine if the following equations create intersecting, parallel, coinciding, or perpendicular lines: 1. y = 3x – 4 2. y = -2/3x + 5 y = -1/2x + 2 y = -2/3x y = 1/5x 4. y = 4x -11 y = 5x – 24 y = 4x + 6 Warm-up: Monday Week 5

Answer the following questions that will help to solve the system of equations using the Elimination Method: 3x + 2y = 10 -3x + y = 5 1.What variable is the easiest to eliminate? 2.What operation will you use to solve to eliminate the variable chosen? 3.Find the solution. Warm-up: Tuesday Week 5

Answer the following questions that will help to solve the system of equations using the Elimination Method: 7x + 2y = x + y = 9 1.What variable is the easiest to eliminate? 2.What operation will you use to solve to eliminate the variable chosen? (Multiplication, Division, Addition, or Subtraction) 3.Find the solution. Warm-up: Wednesday Week 5

Warm-up: Friday Week 5 Solve the following scenario using the elimination method: 3 Medium Popcorns and 2 Large Sodas costs a total of $ Medium Popcorns and 4 Large Sodas costs a total of $30.50 What is the value of your x? What is the value of your y?

Warm-up: Monday Week 6 Solve the following scenario using the elimination method: 5 Medium Popcorns and 3 Large Sodas costs a total of $ Medium Popcorns and 4 Large Sodas costs a total of $ Define your variables (be specific) 2. What is the price of a medium popcorn? 3. What is the price of a large soda?

Warm-ups: Systems of Equations Substitution

Two small pitchers and one large pitcher can hold 8 cups of water. One large pitcher minus one small pitcher constitutes 2 cups of water. How many cups of water can each pitcher hold? 1.What can you tell me about this problem? 2.What is a strategy that would help you solve this problem? 3.Prove with math that your answer is correct. Be ready to present what you find. Warm-up: Tuesday Week 6