Systems of Equations Jeopardy

Elimination

100

-6x+6y=-24

6x-5y=14

(-6,-10)

200

9x-3y=-6

9x-4y=-2

(-2,-4)

300

5x+3y=11

-5x-6y=13

(7,-8)

400

-4x-25y=45

6x-5y=-25

(-5,-1)

500

9x-18y=45

2x-9y=20

(1,-2)

Elimination Steps

100

We do this when the numbers in front of the variable we are eliminating have the SAME sign.

Subtract

200

Which variable will we eliminate in the following system?

4x-3y=10

-9x-3y=-3

y

300

We do this when the numbers in front of the variable we are eliminating have OPPOSITE signs.

Add

400

In the system below, what variable will we solve for first?

6x+8y=-28

x-8y=-14

x

500

Which variable will we eliminate in the following system, and will we add or subtract the equations?

6x-6y=18

6x+6y=-6

x with subtraction or y with addition

Substitution

100

y=-2x-4

y=-6x

(1,-6)

200

-2x+8y=-24

y=2x-10

(4,-2)

300

2x-4y=-6

y=-3x-23

(-7,-2)

400

x-5y=21

8x-2y=16

(1,-4)

500

-6x-7y=-10

x+2y=-1

(1,-1)

Substitution Steps

100

What variable in the system below should we solve for, and what do we get once we solve for it?

8x+7y=15

x-2y=-1

Solve For x.

x=2y-1

200

What do we get when we substitute x=2y-1 into 8x+7y=15?

8(2y-1)+7y=15

300

What should we do to 8(2y-1)+7y=15 next, and what do we get afterwards?

Distribute

16y-8+7y=15

400

What is y equal to in the following equation?

16y-8+7y=15

y=1

500

If y=1 and x=2y - 1, what would our solution be as an ordered pair?

(1,1)

MISC

100

What is it called when I add two terms with the same variable?

Combine Like Terms

200

How do we divide by a fraction?

Keep, Change, Flip

300

What is it called when we multiply the 3 into the parentheses in the expression below?

3(x-4)

Distribution

400

What is a graph with multiple points of data called?

Scatter Plot

500

If f(x)=2x-7, then what is f(3)?

f(3) = -1