System of Equations

Substitution

250

Solve

-x + 3y = -5

2x + 2y = 2

y = -1

x = 2

500

Solve

-x - 7y = -1

x - 2y = -8

y = 1

x = -6

750

Solve

x + y = 5

x + 2y = 7 

y = 2

x = 3

1000

Solve

-x - 3y = 6

-x + y = 3

y = -3/4

x = -15/4

Elimination

250

Solve

x + y = 5

x + 2y = 7

y = 2

x = 3

500

Solve

-x + 3y = -5

2x + 2y = 2

y = -1

x = 2

750

Solve

-x - 7y = -1

x - 2y = -8

y = 1

x = -6

1000

Solve

-x - 3y = 6

-x + y = 3

y = -3/4

x = -15/4

Formulas

250

Ax+By=C

What is standard form?

500

y2-y1 / x₂-x₁

What is slope?

750

y=mx+b

What is slope-intercept?

1000

y-y₁=m(x-x₁)

What is point-slope?

Vocab

250

A set of two or more equations with the same variables

What is system of equations?

500

Order pair

What is a solution of both equations?

750

Substitution

What is the act of replacing one thing with another?

1000

Eliminating one variable by adding the two equations

What is elimination?

Conversion

250

Convert to slope-intercept

y - 9 = 5(x - 3)

What is y = 5x - 6?

500

Convert to standard form

y = 3x + 1

What is 3x - y = -1?

750

Convert to slope-intercept

x - 2y = 6

What is y = x/2 - 3?

1000

Convert to standard form

y − 3 = 5(x − 4)

What is 5x - y = 17?