Systems

One, None, Infinitely Many

100

If a system of linear equations has the same slope, but different y-intercepts, how many solutions does it have?

What is no solution

200

If a system of linear equations has different slopes, but different y-intercepts, how many solutions does it have?

What is one solution

300

If a system of linear equations has the same slope, and the same y-intercept, how many solutions does it have?

What is infinitely many solutions

400

How many solutions does the following system have? y = 3x+5 y=2x + 5

What is one solution

500

How many solutions does the following system have? y = x - 4 -5y= -5x + 20

What is infinitely many

Solving by Graphing

100

Solve the following system of linear equations by graphing. y = 2x - 1 y= -x +8

What is (3, 5)

200

Solve the following system of linear equations by graphing. y = 2x - 7 y = 2/3x + 1

What is (6, 5)

300

Solve the following system of linear equations by graphing. y = 4x + 8 y = 5/3x +1

What is (-3, -4)

400

Solve the following system of linear equations by graphing. y = 3x +2 y = 3x - 8

What is no solution

500

Solve the following system of linear equations by graphing. y = 7x - 2 2y = 14x - 4

What is Infinitely many solutions

Solving by Substitution

100

Solve the following system of linear equations by substitution. y = 5x + 2 x = 3

What is (3, 17)

200

Solve the following system of linear equations by substitution. y + x = 6 y = 8

What is (-2, 8)

300

Solve the following system of linear equations by substitution. 2y + x = 25 x = 3y

What is (15, 5)

400

Solve the following system of linear equations by substitution. 3x + y = 14 y = x + 2

What is (3, 5)

500

Solve the following system of linear equations by substitution. 2x + 4y = 34 x = y - 1

What is (5, 6)

Solve by Elimination

100

Solve the following system of linear equations by elimination. x - y = 10 x + y = 6

What is (8, -2)

200

Solve the following system of linear equations by elimination. x + 2y = 36 x - y = 9

What is (18, 9)

300

Solve the following system of linear equations by elimination. 2x + y = 24 x + y = 11

What is (13, -2)

400

Solve the following system of linear equations by elimination. 3x - 5y = 42 -2x + 5y = -33

What is (9, -3)

500

Solve the following system of linear equations by elimination. 4x + 6y = 52 -4x - 8y = -20

What is (37, -16)

Kitchen Sink

100

What is the largest planet in the solar system?

Jupiter

200

What is Dr. Souza's first name?

Fred

300

How many teachers on your team have dogs?

All of them!

400

What Disney film contains the classic song 'Be our Guest'?

What is Beauty and the Beast

500

We have had 2 US Presidents with the last name Bush. What were their middle initials?

HW (BUSH 41) & W (BUSH 43)