SOAR Alg1 | Systems of Equations: solve by graphing

Multiple Choice

What is a system of equations?

• A graphical representation of a single equation.

• A single equation with multiple variables.

• A method to solve a quadratic equation.

• A collection of two or more equations involving the same variables.

Multiple Choice

In what form is the solution to a system of linear equations?

• An ordered pair

• The solution can only be a negative number.
• The solution is always a single equation.
• The solution is always a graph.

Reorder

These are the steps for solving a system of equations by graphing.

Put them in the correct order.

• Graph both equations (on the same coordinate plane).

• Identify the ordered pair (x,y) where the two lines intersect.

• Check the solution by substituting it into both equations.

1

2

3

• 1
• 2
• 3

Graphing

Where is the point of intersection for these two lines?

Fill in the Blank

The graph of this system of equations is given.

$$y=\frac{1}{2}x+1$$

$$y=x-1$$

What is the solution?

(

,

)

Graphing

Graph the line:

$$y=x$$

Graphing

Graph the line:

$$y=2x+1$$

Graphing

Identify the point of intersection of the two lines.

Fill in the Blank

What is the solution to this system of equations that you just graphed?

$$y=x$$ and $$y=2x+1$$

(

-

,

-

)