Model Systems of Equations

Mathematical representations used to describe quantities and their relationships in a real-life situation

• Solutions to a System of Equations

• Constraint

• Model

• Elimination

A way to solve a system of equations in which we eliminate one variable so that we can solve for the other. This is done by adding or subtracting equations in the system.

• Standard Form

• Elimination

• Slope-Intercept Form

• Solutions to a System of Equations

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

________________ is a set of two or more equations that have the same variables.

• solution of a system

• elimination method

• system of equations

• table

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• (-1, -2)
• (-1, 2)
• (1, 2)
• (1, -2)

Tags

CCSS.8.EE.C.8A

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

Tags

CCSS.8.EE.C.8B

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines

• the same line 

• Intersecting lines

Tags

CCSS.8.EE.C.8A

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

• y = 9.65 + x
  y = 8.40 + x

• y = 9.65x + 43
  y = 8.40x + 58

• y =9.65x
  y = 8.40x

• y = 9.65x - 43
  y = 8.40x - 58

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8B

The ordered pair that satisfies all equations in the system.

• system of equations

• function

• graph

• solution of a system

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the proper set up to solve the equation?

• -7(11) -2y = -13

• -7(2y +11)-2y = -13

• -7x -2(11) =-13

• -7x - 2(2y+11)= -13

Tags

CCSS.8.EE.C.7B