A-REI Solving Systems of Equations

Alignment 1:

A-REI.C.6 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

A-REI.C.7 Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = -3x and the circle x2 + y2 = 3.

 

Solve the following systems of equations. First, find an approximate answer (using a graph) and then algebraically by the given method.

a.        x-2y=10

3x+y=9

Graphically:                                                                Algebraically using Substitution:

 

b.       6x+3y=18

3x-3y=9

Graphically:                                                               Algebraically using Elimination:

c.         y=x²+3x-4

y=x-1

Graphically:                                                               Algebraically (student’s choice):

d.         y=2x-2

x²+y²=4

Graphically:                                                               Algebraically (student’s choice):

Assessment Commentary and Solutions are attached here: im-assessment-solving-systems-of-equations