Systems of Equations Jeopardy

Equal Values

100

y = 5x + 20

y = x + 4

(-4,0)

200

y = −6x + 18

y = 3x − 9

(3,0)

300

y = 4x + 24

y = x + 9

(-5,4)

400

y=-2x+1

y+2x=-3

No Solution

500

x = y + 2

x = 4y + 23

(-5,-7)

Substitution

100

3x+4=y

y=10

(2,10)

200

h=6g-4

h-28=-2g

(4,20)

300

y=x-2

2x+2y=4

(2,0)

400

4x+y=-2

-2x-3y=1

(-.5, 0)

500

The length of a rectangle is 5 cm more than twice the width. The perimeter is 34 cm. Find the dimensions.

(4, 13)

Elimination

100

x-y=3

x+y=7

(5,2)

200

3x-10y=-25

4x+40y=20

(-5, 1)

300

2x+4y=8

5x+y=-7

(-2, 3)

400

3x+2y=-9

10x+5y=-5

(-1,-3)

500

3 burritos and 4 tacos cost $11.33, 9 burritos and 5 tacos costs $22.56

Burrito = $2.01 Taco = $1.49

General

100

What does it mean to be a solution to a system of equations?

The solution to a system of equations is where both lines intersect. It is a coordinate pair that is a solution to BOTH equations.

200

What does it mean for a system to have no solution?

The two lines do not have an intersecting point, which means they do not ever cross. The two lines are parallel.

300

What does it mean when a solution to a system of equations has infinite solutions?

They are the same line.

400

Solve for BOTH values of x.

|2x-10|=20

x=15 and x=-5

500

Write the sum for the expression:

(2x+5)(7x-2)

14x²+31x-10