jeopardy!
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JEOPARDY!. Click Once to Begin. 8 TH GRADE MATH Unit 6 Systems of Equations. JEOPARDY!. Solve by Graphing. Solve by Substitution. Solve by Elimination. Systems of Inequalities. Word Problems. Kickin ’ it up a notch. 100. 100. 100. 100. 100. 100. 200. 200. 200. 200. 200. - PowerPoint PPT PresentationTRANSCRIPT
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Click Once to BeginJEOPARDY!8TH GRADE MATH
Unit 6Systems of Equations
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JEOPARDY!
100 100 100 100 100 100
200 200 200 200 200 200
300 300 300 300 300 300
400 400 400 400 400 400
500 500 500 500 500 500
Solve by Graphing
Solve by Substitution
Solve by Elimination
Systems of Inequalities
Word Problems
Kickin’ it up a
notch
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Topic 1 100 Points
Solve the system by graphing:
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Topic 1 100 Points
Answer
Solve the system by graphing:
NO SOLUTION, lines are parallel
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Topic 1 200 Points
Solve the system by graphing:
2y = -4x + 4Y = -2x + 2
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Topic 1200 Points
Answer
Solve the system by graphing:
2y = -4x + 4Y = -2x + 2
Infinite Solutions (same lines)
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Topic 1 300 Points
Solve the system by graphing:
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Topic 1 300 Points
Answer
Solve the system by graphing:
(2,1)
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Topic 1400 Points
Solve the system by graphing:
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Topic 1400 Points
Answer
Solve the system by graphing:
(-1,2)
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Topic 1 500 Points
Column 1 Column 2Solve the system by graphing:
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Topic 1500 Points
Answer
Solve the system by graphing:
(-2,3)
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Topic 2100 Points
Solve the system by substitution:
y = 4xx + y = 5
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Topic 2100 Points
Answer
(1,4)
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Topic 2200 Points
Solve the system by substitution:
x = -4y3x + 2y = 20
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Topic 2200 Points
Answer
(8,-2)
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Topic 2300 Points
Solve the system by substitution:
y = 2x – 2 y = x + 2
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Topic 2300 Points
Answer
(4,6)
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Topic 2400 Points
Solve the system by substitution:
x + 14y = 842x – 7y = -7
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Topic 2400 Points
Answer
(14,5)
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Topic 2500 PointsSolve the system by substitution:
Tickets to a movie cost $7.25 for adultsAnd $5.50 for students. A group of Friends purchased 8 tickets for $52.75.
How many adult and student tickets werePurchased?
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Topic 2500 Points
Answer
a + s = 87.25a + 5.50s = 52.75
5 adult and 3 student tickets sold.
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Topic 3100 Points
Solve by elimination:
p + q = -2p – q = 8
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Topic 3100 Points
Answer
Solve by elimination:
p + q = -2P – q = 8
(3, -5)
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Topic 3200 Points
Solve by elimination:
7x + 2y = 27x – 2y = -30
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Topic 3200 PointsAnswers
Solve by elimination:
7x + 2y = 27x – 2y = -30
(-2, 8)
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Topic 3300 Points
Solve by elimination:
-4y + x = -2.52x + 4y = 10
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Topic 3300 Points
Answer
Solve by elimination:
-4y + x = -2.52x + 4y = 10
(2.5, 1.25)
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Topic 3400 Points
Solve by elimination:
-11x – 10y = 175x – 7y = 50
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Topic 3400 Points
Answer
Solve by elimination:
-11x – 10y = 175x – 7y = 50
(3, -5)
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Topic 3500 Points
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Topic 3500 Points
Answer
(-2,4)
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Topic 4100 Points
Solve the system of inequalities:y > xy < x + 1
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Topic 4
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100 PointsAnswer
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Topic 4200 Points
Solve the system of inequalities:
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Topic 4200 Points
Answer
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Topic 4300 Points
Solve the system of inequalities:
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Topic 4300 Points
Answer
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Topic 4400 Points
Solve the system of inequalities:
Daily Double!!!
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Topic 4400 Points
AnswerDaily Double!!!
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Topic 4500 Points
Solve the system of inequalities:
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Topic 4500 Points
Answer
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Topic 5 100 Points
The sum of 2 numbers is 184.The difference is 14.
What are the two numbers?
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The numbers are:99 and 85
Topic 5100 Points
Answer
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Topic 5200 Points
Two angles are complementary.The measures of the two anglesHave a difference of 20 degrees.
What is the measure of each angle?
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Topic 5200 Points
Answer
35 degrees and 55 degrees.
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Topic 5300 Points
Vignesh has been saving his dimes and Quarters. He has 94 coins in all, andThe total value is $19.30. How many dimes and how manyQuarters does Vignesh have?
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Topic 5300 Points
Answer
28 dimes and 66 quarters
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Topic 5400 Points
Betty and Bob went on a Safari.The saw giraffes and ostriches.
When they counted, there were 40heads, and 130 feet. How many giraffes and ostriches Did they see?
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Topic 5400 Points
Answer
15 ostriches 25 giraffes
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Topic 5500 Points
Ally and Matt went shopping for Produce on the same day. Ally bought8 lbs of apples and 7 lbs of potatoes For $18.85. Matt bought 2 lbs of applesAnd 10 lbs of potatoes for $12.88.
What is the cost of apples and potatoesPer pound?
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Topic 5500 Points
Answer
$1.49 per lb $0.99 per lb
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Topic 6100 Points
What does it mean to find “the solution” to a systems of Equations?
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Topic 6100 Points
Answer
The solution is the point whereThe two lines intersect.
It is the (x,y) value that satisfiesBoth equations.
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Topic 6200 Points
What does it mean to find “the solution” to a systems of inequalities?
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Topic 6200 Points
AnswerThe solution to a system of Inequalities are all of the points that satisfy both inequalities.
When you graph them, it is the Section of the graph where shaded sections of the inequalities overlap.
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Topic 6300 Points
Four times one number added to Another number is 36. Three timesThe first number minus the other Number is 20. Find the numbers.
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Topic 6300 Points
Answer
Four times one number added to Another number is 36. Three timesThe first number minus the other Number is 20. Find the numbers.
The numbers are: 8 and 4
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Topic 6400 Points
An airplane flying against the wind takes16 hours to travel 1800 miles. The returnTrip, flying with the wind takes only 9hours. What is the speed of the airplaneIn still air?
Daily Double!!!
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Topic 6400 Points
Answer
Let a = rate of airplane and Let w = rate of the wind. 9 (a + w) = 1800 16 (a - w) = 1800
a = 156.25 miles per hour
Daily Double!!!
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Topic 6500 Points
A certain systems consists of 2 equations. One of the equations is ½ x + y = 3. Write a second equationFor the system so that the system Has…a) no solutions __________________b) Infinite solutions _______________c) Exactly one solution ____________
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Topic 6500 Points
Answer
Answers will vary (samples…)a) y = - ½ x + 5 (same slope – parallel)
b) 2y = - x + 10 (same equations – mult by 2)
c) y = 3x – 2 (any equation with different slope will intersect)
½ x + y = 3 can be rewritten as y = - ½ x + 3