Chapter 5 Jeopardy - Systems of Linear Equations

Graphing

100

Tell whether the ordered pair is a solution of the system of linear equations. 

(8,2),  x-y=6,  2x-10y = 4

Not a solution

200

Tell whether the ordered pair is a solution of the system of linear equations.

(-4, -2),  y=2x+6,  y=-3x-14

Is a solution

300

Solve the system of linear equations by graphing.

y=-x+4,  y=2x-8

(4,0)

400

Solve the system of linear equations by graphing. 

3y+4x=3,  x+3y=-6

(3,-3)

500

Solve the system of linear equations by graphing.

4x-4y=3,  y=-5

(0,-5)

Substitution

100

x+y=-7

-5x+y=5

x=-2, y=-5

(-2,-5)

200

x-2y=-6

2x+y=-2

x=-2, y=2

(-2,2)

300

solve by substitution

x=-y-1

-5x+2y=-65

x=9, y=-10

(9, -10)

400

3x+y=-9

y=5x+7

x= -2, y= -3

(-2,-3)

500

You spend $20 total on tubes of paint and disposable brushes for an art project. Tubes of paint cost $4 and paint brushes cost $0.50 each. You purchase twice as many brushes as tubes of paint. How many brushes and tubes do you purchase?

8 brushes and 4 tubes of paint

Elimination

100

3x + 2y = 4

3x - 2y = -4

x=0, y = 2

(0,2)

200

-10x + 3y = 1

-5x - 6y = 23

x = -1, y = -3

(-1,-3)

300

4x + 6y = -8

x - 2y = -2

x = -2, y = 0

(-2,0)

400

-5x-4y=-15

10x+8y=30

infinitely many solutions

500

A rectangle has a perimeter of 18 inches. A rectangle is formed by doubling the width, w , and tripling the length, L. The new rectangle has a perimeter of P, 46 inches. 

length = 5 inches, width = 4 inches

Special

100

4x + 2y = -14

y = -2x - 6

no solution

-12 does not equal -14

200

x = y + 2

-3x + 3y = 6

no solution

300

-3x - 6y = -9

-5x + 10y = 10

x = 1/2, y = 5/4

(1/2,5/4)

400

-4x + 4y = 32

3x + 24 = 3y

infinitely many solutions

500

The perimeter of a trapezoidal piece of land is 48 kilometers. The perimeter of a rectangular piece of land is 144 kilometers. Write and solve a system of linear equations to find the values of x and y.

2 equations:

6x + 12y = 48

18x + 36 = 144

Answer:

Infinitely many solutions

Grab Bag

100

Solve for y:

2(y - 4) = -4(y + 8)

y = -4

200

solve:

s/-8 > 11

s < -88

300

Determine whether the relation is a function:

(0,1), (5,6), (7,9)

Yes, It is a function

400

Write an equation in slope intercept form with these given characteristics: parallel line to y = 3x - 1 and passes through (-2, -8).

y = 3x - 2

500

Compare the slopes and y-intercepts of the graphs of the equations in the linear system 8x + 4y = 12 and 3y = -6x -15

x = -1/2, y = -4

(-1/2, -4)