Systems of Equations Vocabulary

A linear equation in 2 variables

Ax + By = C

• Standard Form

• Slope - Intercept Form

• Point - Slope Form

What is the elimination method?

• Both equations are in slope - intercept form

• A method of solving a system of equations by replacing one variable with an equivalent expression containing the other variable.

• solving systems by adding or subtracting equations to eliminate a variable

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

(a)   lines are lines that intersect to form right angles.

Tags

CCSS.HSG.CO.A.1

A method of solving a system of equations by replacing one variable with an equivalent expression containing the other variable.

• Substitution Method

• Elimination Method

• Point of Intersection

• System of Linear Equations

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The lines do NOT have a common point of intersection. So, they must be PARALLEL. They will NEVER intersect. (SAME slope and different y-intercept)

• One Solution

• No solution

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8B

A system of linear equaations is a set of (a)   or more linear equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

"y=mx+b", where m is the slope and b is the y-intercept of the line

• Slope - Intercept Form

• Point - Slope Form

• Standard Form

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What is a point of intersection?

• 
  a set of 2 or more linear equations

• lines in the same coordinate plane that NEVER intersect

• a coordinate point that satisfies all equations in the system; the point where the lines INTERSECT

Tags

CCSS.8.EE.C.8A

The equations are exactly the same. (SAME slope AND SAME y-intercept). The lines intersect at EVERY point.​ ​

• Infinitely Many Solutions
• No Solution
• One Solution

Tags

CCSS.8.EE.C.8B

(a)   lines are lines in the same coordinate plane that NEVER intersect.

Tags

CCSS.HSG.CO.A.1

CCSS.4.G.A.1