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Click Once to BeginJEOPARDY!8TH GRADE MATH

Unit 6Systems of Equations


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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


Topic 1 100 Points

Solve the system by graphing:


Topic 1 100 Points

Answer


NO SOLUTION, lines are parallel


Topic 1 200 Points


2y = -4x + 4Y = -2x + 2


Topic 1200 Points

Answer


2y = -4x + 4Y = -2x + 2

Infinite Solutions (same lines)


Topic 1 300 Points



Topic 1 300 Points

Answer


(2,1)


Topic 1400 Points



Topic 1400 Points

Answer


(-1,2)


Topic 1 500 Points

Column 1 Column 2Solve the system by graphing:


Topic 1500 Points

Answer


(-2,3)


Topic 2100 Points

Solve the system by substitution:

y = 4xx + y = 5


Topic 2100 Points

Answer

(1,4)


Topic 2200 Points


x = -4y3x + 2y = 20


Topic 2200 Points

Answer

(8,-2)


Topic 2300 Points


y = 2x – 2 y = x + 2


Topic 2300 Points

Answer

(4,6)


Topic 2400 Points


x + 14y = 842x – 7y = -7


Topic 2400 Points

Answer

(14,5)


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?


Topic 2500 Points

Answer

a + s = 87.25a + 5.50s = 52.75

5 adult and 3 student tickets sold.


Topic 3100 Points

Solve by elimination:

p + q = -2p – q = 8


Topic 3100 Points

Answer


p + q = -2P – q = 8

(3, -5)


Topic 3200 Points


7x + 2y = 27x – 2y = -30


Topic 3200 PointsAnswers


7x + 2y = 27x – 2y = -30

(-2, 8)


Topic 3300 Points


-4y + x = -2.52x + 4y = 10


Topic 3300 Points

Answer


-4y + x = -2.52x + 4y = 10

(2.5, 1.25)


Topic 3400 Points


-11x – 10y = 175x – 7y = 50


Topic 3400 Points

Answer


-11x – 10y = 175x – 7y = 50

(3, -5)


Topic 3500 Points


Topic 3500 Points

Answer

(-2,4)


Topic 4100 Points

Solve the system of inequalities:y > xy < x + 1


Topic 4


100 PointsAnswer


Topic 4200 Points

Solve the system of inequalities:


Topic 4200 Points

Answer


Topic 4300 Points



Topic 4300 Points

Answer


Topic 4400 Points


Daily Double!!!


Topic 4400 Points

AnswerDaily Double!!!


Topic 4500 Points



Topic 4500 Points

Answer


Topic 5 100 Points

The sum of 2 numbers is 184.The difference is 14.

What are the two numbers?


The numbers are:99 and 85

Topic 5100 Points

Answer


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?


Topic 5200 Points

Answer

35 degrees and 55 degrees.


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?


Topic 5300 Points

Answer

28 dimes and 66 quarters


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?


Topic 5400 Points

Answer

15 ostriches 25 giraffes


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?


Topic 5500 Points

Answer

$1.49 per lb $0.99 per lb


Topic 6100 Points

What does it mean to find “the solution” to a systems of Equations?


Topic 6100 Points

Answer

The solution is the point whereThe two lines intersect.

It is the (x,y) value that satisfiesBoth equations.


Topic 6200 Points

What does it mean to find “the solution” to a systems of inequalities?


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.


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.


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


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!!!


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!!!


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 ____________


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

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