Solving Systems of Equations Review

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

This system has _____ solutions

• 0

• 1

• 2

• Infinitely many

Solve the following systems of equations using substitution:

y = 8

y = -4x + 4

• (8, -1)

• (-28, 8)

• (-1, 8)

• (8, -28)

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

• (6, 6)

• (6, 9)

• (9, 6)

• (9, 9)

Solve the system by elimination.  

12x + 36y = −3 
−12x − 36y = 0 

• (10, 1) 

• (−10, −1) 

•  (10, −1) 

•  No solution 

What must be done before entering your equations for graphing systems on the calculator?

• Press the graph button.

• Make sure that each equation in written in standard form.

• Make sure that each equation is written in slope intercept form.

Look at your notes for topic 2 - Solving by Substitution. What is the y value in example 1?

• -2

• 3

• no solution

• infinite solutions

Look at the guided notes for Solving Systems using Elimination (topic 3). What is the formula for standard form?

• y=mx + b

• Ax + By= C

• y - y₁ = m(x - x₁)

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

A system of equations is shown. How many solutions does the system have, and why?

• There are no solutions because the slopes and y-intercepts are the same.

• There are infinitely many solutions because the slopes and y-intercepts are the same.

• There are no solutions because the slopes are the same and the y-intercepts are different.

• There are infinitely many solutions because the slopes are the same and the y-intercepts are different.