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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.

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Jeopardy

JEOPARDY!

Click Once to Begin

8TH GRADE MATH

Unit 6

Systems of Equations


Jeopardy 2664143

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

200

300

300

300

300

300

300

400

400

400

400

400

400

500

500

500

500

500

500


Jeopardy 2664143

Topic 1

100 Points

Solve the system by graphing:


Jeopardy 2664143

Topic 1

100 Points

Answer

Solve the system by graphing:

NO SOLUTION, lines are parallel

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 1

200 Points

Solve the system by graphing:

2y = -4x + 4

Y = -2x + 2


Jeopardy 2664143

Topic 1

200 Points

Answer

Solve the system by graphing:

2y = -4x + 4

Y = -2x + 2

Infinite Solutions (same lines)

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 1

300 Points

Solve the system by graphing:


Jeopardy 2664143

Topic 1

300 Points

Answer

Solve the system by graphing:

(2,1)

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 1

400 Points

Solve the system by graphing:


Jeopardy 2664143

Topic 1

400 Points

Answer

Solve the system by graphing:

(-1,2)

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 1

500 Points

Solve the system by graphing:

Column 1

Column 2


Jeopardy 2664143

Topic 1

500 Points

Answer

Solve the system by graphing:

(-2,3)

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 2

100 Points

Solve the system by substitution:

y = 4x

x + y = 5


Jeopardy 2664143

Topic 2

100 Points

Answer

(1,4)

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 2

200 Points

Solve the system by substitution:

x = -4y

3x + 2y = 20

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 2

200 Points

Answer

(8,-2)


Jeopardy 2664143

Topic 2

300 Points

Solve the system by substitution:

y = 2x – 2

y = x + 2


Jeopardy 2664143

Topic 2

300 Points

Answer

(4,6)

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 2

400 Points

Solve the system by substitution:

x + 14y = 84

2x – 7y = -7


Jeopardy 2664143

Topic 2

400 Points

Answer

(14,5)

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 2

500 Points

Solve the system by substitution:

Tickets to a movie cost $7.25 for adults

And $5.50 for students. A group of

Friends purchased 8 tickets for $52.75.

How many adult and student tickets were

Purchased?


Jeopardy 2664143

Topic 2

500 Points

Answer

a + s = 8

7.25a + 5.50s = 52.75

5 adult and 3 student tickets sold.

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 3

100 Points

Solve by elimination:

p + q = -2

p – q = 8


Jeopardy 2664143

Topic 3

100 Points

Answer

Solve by elimination:

p + q = -2

P – q = 8

(3, -5)

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 3

200 Points

Solve by elimination:

7x + 2y = 2

7x – 2y = -30


Jeopardy 2664143

Topic 3

200 Points

Answers

Solve by elimination:

7x + 2y = 2

7x – 2y = -30

(-2, 8)

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 3

300 Points

Solve by elimination:

-4y + x = -2.5

2x + 4y = 10


Jeopardy 2664143

Topic 3

300 Points

Answer

Solve by elimination:

-4y + x = -2.5

2x + 4y = 10

(2.5, 1.25)

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 3

400 Points

Solve by elimination:

-11x – 10y = 17

5x – 7y = 50


Jeopardy 2664143

Topic 3

400 Points

Answer

Solve by elimination:

-11x – 10y = 17

5x – 7y = 50

(3, -5)

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 3

500 Points


Jeopardy 2664143

Topic 3

500 Points

Answer

(-2,4)

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 4

100 Points

Solve the system of inequalities:

y > x

y < x + 1


Jeopardy 2664143

Topic 4

100 Points

Answer

Template by

Bill Arcuri, WCSD

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 4

200 Points

Solve the system of inequalities:


Jeopardy 2664143

Topic 4

200 Points

Answer

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 4

300 Points

Solve the system of inequalities:


Jeopardy 2664143

Topic 4

300 Points

Answer

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 4

400 Points

Daily Double!!!

Solve the system of inequalities:


Jeopardy 2664143

Topic 4

400 Points

Answer

Daily Double!!!

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 4

500 Points

Solve the system of inequalities:


Jeopardy 2664143

Topic 4

500 Points

Answer

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

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

The numbers are:99 and 85

Topic 5

100 Points

Answer

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 5

200 Points

Two angles are complementary.

The measures of the two angles

Have a difference of 20 degrees.

What is the measure of each angle?


Jeopardy 2664143

Topic 5

200 Points

Answer

35 degrees and 55 degrees.

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 5

300 Points

Vignesh has been saving his dimes and

Quarters. He has 94 coins in all, and

The total value is $19.30.

How many dimes and how many

Quarters does Vignesh have?

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 5

300 Points

Answer

28 dimes and 66 quarters


Jeopardy 2664143

Topic 5

400 Points

Betty and Bob went on a Safari.

The saw giraffes and ostriches.

When they counted, there were 40

heads, and 130 feet.

How many giraffes and ostriches

Did they see?


Jeopardy 2664143

Topic 5

400 Points

Answer

15 ostriches 25 giraffes

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Ally and Matt went shopping for

Produce on the same day. Ally bought

8 lbs of apples and 7 lbs of potatoes

For $18.85. Matt bought 2 lbs of apples

And 10 lbs of potatoes for $12.88.

What is the cost of apples and potatoes

Per pound?

Topic 5

500 Points


Jeopardy 2664143

Topic 5

500 Points

Answer

$1.49 per lb $0.99 per lb

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 6

100 Points

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

Equations?


Jeopardy 2664143

Topic 6

100 Points

Answer

The solution is the point where

The two lines intersect.

It is the (x,y) value that satisfies

Both equations.

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 6

200 Points

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

inequalities?


Jeopardy 2664143

Topic 6

200 Points

Answer

The 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.

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 6

300 Points

Four times one number added to

Another number is 36. Three times

The first number minus the other

Number is 20. Find the numbers.


Jeopardy 2664143

Topic 6

300 Points

Answer

Four times one number added to

Another number is 36. Three times

The first number minus the other

Number is 20. Find the numbers.

The numbers are: 8 and 4

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Daily Double!!!

Topic 6

400 Points

An airplane flying against the wind takes

16 hours to travel 1800 miles. The return

Trip, flying with the wind takes only 9

hours. What is the speed of the airplane

In still air?


Jeopardy 2664143

Daily Double!!!

Topic 6

400 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

Template by

Bill Arcuri, WCSD


Jeopardy 2664143

Topic 6

500 Points

A certain systems consists of 2

equations. One of the equations is

½ x + y = 3. Write a second equation

For the system so that the system

Has…

no solutions __________________

Infinite solutions _______________

Exactly one solution ____________


Jeopardy 2664143

Topic 6

500 Points

Answer

½ x + y = 3 can be rewritten as

y = - ½ x + 3

Answers will vary (samples…)

y = - ½ x + 5 (same slope – parallel)

2y = - x + 10 (same equations – mult by 2)

y = 3x – 2 (any equation with different slope will intersect)

Template by

Bill Arcuri, WCSD