Systems of equations

Angry wombats

100

Solve algebraically

5x - 3y = 2

2x + 9y = 113

(7, 11)

200

Solve algebraically

y = 3x - 1

5x + 2y = 42

(4, 11)

300

Solve algebraically

4x - 10y = 14

8x + 5y = 103

(11, 3)

400

Solve algebraically

4x + 2y = 76

y = 2x + 2

(9, 20)

500

Solve graphically

y=-1/2x+4

y=3/4x-6

(8, 0)

Howling toads

100

Solve graphically

y=-2/3x-5

y=1/2x+2

(-6, -1)

200

Solve algebraically

10x + 8y = 8

-2x + 5y = 38

(-4, 6)

300

Solve algebraically

x = 8y + 3

10x - 4y = -46

(-5, -1)

400

Solve algebraically

-3x + 9y = -39

7x + 5y = -39

(-2, -5)

500

Solve algebraically

3x + 5y = -32

x = 5y + 16

(-4, -4)

Slimy rhinos

100

At the Widgets and Wobblies store, you can buy.....widgets and wobblies.  That's why Steve went there!  On Tuesday, he bought 20 widgets and 14 wobblies, and he paid $88.12.  He went back on Friday and bought 5 widgets and 10 wobblies for $31.65.  Please determine the cost of each item.

Widgets cost $3.37, and wobblies cost $1.48

200

Solve graphically

y=3/5x+ 5

y=2x+5

(0, 5)

300

Solve algebraically

4x + 6y = -80

-12x + 2y = 80

(-8, -8)

400

Solve algebraically

x = 2y - 8

3x + 7y = 67

(6, 7)

500

Solve graphically

y=-1/2x+9

y=3x+2

(2, 8)

Trembling hyenas

100

Solve graphically

y = -1/4x+1

y = 1/2x+4

(-4, 2)

200

At a Red Wings game, Maddie and David bought 3 sodas and 2 hot dogs for a total of $19.87.  Meanwhile, Andy and April bought 2 sodas and 6 hot dogs for $33.08.  Determine the cost of a soda and the cost of a hot dog.

A soda costs $3.79

A hot dog costs $4.25

300

Solve graphically

y=-2x+9

y=4x+3

(1, 7)

400

Solve algebraically

6x + 15y = 180

4x - 3y = -36

(0, 12)

500

Solve algebraically

y = 2x + 7

11x + 3y = 4

(-1, 5)

Splotchy armadillos

100

Write the equation of a line that would be parallel to the line y = 4x - 3

Any equation of any form below is acceptable

y = 4x + (any positive number)

y = 4x - (any positive number EXCEPT 3)

y = 4x

200

Solve graphically

y=3/5x+2

y=-1/5x+6

(5, 5)

300

At Friday's Amerks game, Kevin and Winnie bought 2 orders of chicken fingers and 6 burgers for $49.72.  George and Weezie were also at the game, and they bought 4 orders of chicken fingers and 2 burgers for $41.54.  Determine the cost of an order of chicken fingers and the cost of a burger.

Chicken fingers cost $7.49.

A burger costs $5.79

400

Solve algebraically

y = 4x - 10

14x + 5y = 52

(3, 2)

500

Solve algebraically

-2x + 7y = 81

4x + 2y = -18

(-9, 9)