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.

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### JEOPARDY!

Click Once to Begin

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

200

300

300

300

300

300

300

400

400

400

400

400

400

500

500

500

500

500

500

Topic 1

100 Points

Solve the system by graphing:

Topic 1

100 Points

Solve the system by graphing:

NO SOLUTION, lines are parallel

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Bill Arcuri, WCSD

Topic 1

200 Points

Solve the system by graphing:

2y = -4x + 4

Y = -2x + 2

Topic 1

200 Points

Solve the system by graphing:

2y = -4x + 4

Y = -2x + 2

Infinite Solutions (same lines)

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Topic 1

300 Points

Solve the system by graphing:

Topic 1

300 Points

Solve the system by graphing:

(2,1)

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Topic 1

400 Points

Solve the system by graphing:

Topic 1

400 Points

Solve the system by graphing:

(-1,2)

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Topic 1

500 Points

Solve the system by graphing:

Column 1

Column 2

Topic 1

500 Points

Solve the system by graphing:

(-2,3)

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Topic 2

100 Points

Solve the system by substitution:

y = 4x

x + y = 5

Topic 2

100 Points

(1,4)

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Topic 2

200 Points

Solve the system by substitution:

x = -4y

3x + 2y = 20

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Topic 2

200 Points

(8,-2)

Topic 2

300 Points

Solve the system by substitution:

y = 2x – 2

y = x + 2

Topic 2

300 Points

(4,6)

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Topic 2

400 Points

Solve the system by substitution:

x + 14y = 84

2x – 7y = -7

Topic 2

400 Points

(14,5)

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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?

Topic 2

500 Points

a + s = 8

7.25a + 5.50s = 52.75

5 adult and 3 student tickets sold.

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Topic 3

100 Points

Solve by elimination:

p + q = -2

p – q = 8

Topic 3

100 Points

Solve by elimination:

p + q = -2

P – q = 8

(3, -5)

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Topic 3

200 Points

Solve by elimination:

7x + 2y = 2

7x – 2y = -30

Topic 3

200 Points

Solve by elimination:

7x + 2y = 2

7x – 2y = -30

(-2, 8)

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Topic 3

300 Points

Solve by elimination:

-4y + x = -2.5

2x + 4y = 10

Topic 3

300 Points

Solve by elimination:

-4y + x = -2.5

2x + 4y = 10

(2.5, 1.25)

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Topic 3

400 Points

Solve by elimination:

-11x – 10y = 17

5x – 7y = 50

Topic 3

400 Points

Solve by elimination:

-11x – 10y = 17

5x – 7y = 50

(3, -5)

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Topic 3

500 Points

Topic 3

500 Points

(-2,4)

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Topic 4

100 Points

Solve the system of inequalities:

y > x

y < x + 1

Topic 4

100 Points

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Topic 4

200 Points

Solve the system of inequalities:

Topic 4

200 Points

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Topic 4

300 Points

Solve the system of inequalities:

Topic 4

300 Points

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Topic 4

400 Points

Daily Double!!!

Solve the system of inequalities:

Topic 4

400 Points

Daily Double!!!

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Topic 4

500 Points

Solve the system of inequalities:

Topic 4

500 Points

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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 5

100 Points

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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?

Topic 5

200 Points

35 degrees and 55 degrees.

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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?

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Topic 5

300 Points

28 dimes and 66 quarters

Topic 5

400 Points

Betty and Bob went on a Safari.

The saw giraffes and ostriches.

When they counted, there were 40

How many giraffes and ostriches

Did they see?

Topic 5

400 Points

15 ostriches 25 giraffes

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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

Topic 5

500 Points

\$1.49 per lb \$0.99 per lb

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Topic 6

100 Points

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

Equations?

Topic 6

100 Points

The solution is the point where

The two lines intersect.

It is the (x,y) value that satisfies

Both equations.

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Topic 6

200 Points

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

inequalities?

Topic 6

200 Points

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.

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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.

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.

The numbers are: 8 and 4

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Bill Arcuri, WCSD

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?

Daily Double!!!

Topic 6

400 Points

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

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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 ____________

Topic 6

500 Points

½ x + y = 3 can be rewritten as

y = - ½ x + 3