Systems of Equations

Conceptual

100

A solution to a system of equations is a...

What is an ordered pair?

200

How many solutions are there when the 2 lines intersect when you graph them?

What is 1 solution?

300

How many solutions are there when the two lines are the same when you graph them?

What are infinite solutions?

400

How many solutions are there is you get parallel lines when you graph them?

What is no solution?

500

Isolate y in this equation (write it in slope-intercept form): -2x + 4y = 68

What is y = x/2 + 17

Substitution

100

Solve with substitution:

y = 2x

6x - y = 8

What is (2, 4)?

200

Solve with substitution:

y = x - 4

2x + y = 5

What is (3, -1)?

300

Solve with substitution:

3x - 5y = 11

x = 3y + 11

What is (7, 2)?

400

Solve with substitution:

5x + y = 9

3x + 2y = -3

What is (3, -6)?

500

Solve with substitution:

3x + y = 13

5x + 4y = -4

What is (8, -11)?

Elimination

100

Solve with elimination:

2x + 2y = -2

3x - 2y = 12

What is (2, -6)?

200

Solve with elimination: 

x - y = 2

x + y = -4

What is (-1, -3)?

300

Solve with elimination:

6x + 5y = 4

6x - 7y = -20

What is (-1, 2)?

400

Solve with elimination:

4x - 2y = -1

-4x + 4y = -2

What is (-1, -3/2)?

500

Solve with elimination:

2x + 3y = 6

x + 2y = 5

What is (-3, 4)?

Graphing

100

Solve by graphing:

y = x - 3

y = 5x + 1

What is (-1, -4)?

200

Solve by graphing:

y = x - 4

y = -x - 2

What is (1, -3)?

300

Solve by graphing:

y = -x -1

y = 2x - 4

What is (1, -2)?

400

Solve by graphing:

x + y = -3

y = 5x - 3

What is (0, -3)?

500

Solve by graphing:

y = -x/4 -4

x - y = -1

What is (-4, -3)?