SubstitutionElimination Graphing Systems of Equations Graphing Systems of Inequalities Applying Systems of Linear Equation

Substitution- 100 Solve. x + y = 3 x = 2y

First Category – 100 (2,1)

Substitution- 200 Solve. x + 3y = -28 y = -5x

First Category – 200 (2, -10)

Substitution- 300 Solve. y = 5x – 3 x + 2y = 27

Substitution– 300 ( 3, 12)

Substitution- 400 Solve. 3x = 2y = 16 x = 3y - 2

First Category – 400 ( 4, 2)

Substitution- 500 The perimeter of a rectangle is 48 inches. The length is 6 inches greater than the width. What is the length and with width of the rectangle?

Substitution– inches is the width and 15 inches is the length.

Elimination- 100 Solve. x + y = 13 x – y = 5

Elimination– 100 ( 9, 4)

Elimination- 200 Solve. x + 4y = -4 x + 10y = -16 CHECK

Elimination– 200 (4, -2)

Elimination- 300 Solve. x + y = 4 -2x + 3y = 7

Elimination– 300 (1, 3)

Elimination- 400 Solve. 2x + 9y = 3 5x + 4y = 26

Elimination– 400 (6, -1)

Elimination- 500 On the first day a total of 40 items were sold for $356. Pies are $10 and Cakes are $8. How many of each type of cake did they sell?

Elimination– 500 They sold 22 cakes and 18 pies.

Graphing Systems of Equations Solve. x + 2y =6 3x + 6y = 8

Graphing Systems of Equations – 100 No Solution

Graphing Systems of Equations Solve. -3x + y = -3 Y = x - 3

Graphing Systems of Equations – 200 One; (0, -3)

Graphing Systems of Equations Solve. 3x + y = 5 6x = 10 – 2y

Graphing Systems of Equations – 300 Infinitely Many Solution

Third Category INSERT QUESTION HERE

Graphing Systems of Equations – 400 Cristiano bought 24 baseball cards for $50. Once type costs $1 per card, and the other costs $3 per card. Find the number of each type of card he bought.

Graphing Systems of Equations Sean is trying to find two numbers with a sum of 14 and a difference of 4. What are the two numbers?

Graphing Systems of Equations – 500 The two numbers are 9 and 5.

Graphing Systems of Inequalities- 100 If I see which type of line will be drawn on the coordinate plane when graphing?

Graphing Systems of Inequalities– 100 A SOLID line.

Graphing Systems of Inequalities- 200 When a sign appears in the inequality when graphed which type of line will appear?

Graphing Systems of Inequalities– 200 A DASH line.

Graphing Systems of Inequalities- 300 When looking at Graphed Inequalities how would the answer for the Systems of Inequalities appear.

Graphing Systems of Inequalities– 300 The answer that makes both inequalities true will be in the double shaded area. Meaning, any ordered pair that falls in the double shaded area is the correct answer.

Graphing Systems of Inequalities- 400 When looking at Graphed Inequalities how would the answer NOT correct for the Systems of Inequalities appear.

Graphing Systems of Inequalities– 400 The answer that makes both inequalities true will be in the double shaded area. Meaning, any ordered pair that DOES NOT fall in the double shaded area is the is NOT an answer to the System of Inequalities.

Graphing Systems of Inequalities What does a solid line on a graphed inequality represent?

Graphing Systems of Inequalities – 500 It means that any ordered pair that falls on that solid line is a solution to the inequality (true statement).

Applying Systems of Linear Equation- 100 Solve. y = x – 8 y = -3x

Applying Systems of Linear Equation – 100 (2, -6)

Applying Systems of Linear Equation- 200 Which would be the best method to solve? 3x + 4y = 26 2x + 3y = 19

Applying Systems of Linear Equation – 200 Elimination

Applying Systems of Linear Equation- 300 Solve. y = -x y = 2x

Applying Systems of Linear Equation – 300 ( 0, 0)

Applying Systems of Linear Equation Kayla has saved dimes and quarters in her piggy bank. She has $4.00 in her piggy bank with a total of 25 coins. How many dimes and quarters does she have?

Applying Systems of Linear Equation – 400 She has 15 dimes and 10 quarters.

Applying Systems of Linear Equation At a county fair, the cost for 4 slices of pizza and 2 orders of fries is $ The cost of 2 slices of pizza and 3 orders of fries is $ What is the cost of a single piece of pizza and a single order of fries?

Applying Systems of Linear Equation – 500 Pizza is $3.75 and Fries are $3.00

FINAL JEOPARDY CATEGORY: Systems of Equations

FINAL JEOPARDY At a sale, Ricardo bought 24 reams of paper and 4 inkjet cartridges for $320. Britney bought 2 reams of paper and 1 inkjet cartridge for $50. Each person paid the same price for paper and inkjet cartridges. How much is one ream of paper and how much is one inkjet cartridge?

FINAL JEOPARDY $7.50 for 1 ream of paper and $35 for each inkjet cartridge.