Review System of Linear Equestions

Solving a System of Linear Equations

By Carly Rexing

Dropdown

Parallel lines have the same ​ ​

Select answer

.

Dropdown

Parallel lines have the ​

Select answer

y-intercepts.

Multiple Choice

$$y=7x+2\ \ and\ y=7x-1$$  

• perpendicular

• parallel

• neither

• Same line

Multiple Choice

$$y=4x-5\ \ and\ y=4x-5$$  

• perpendicular

• parallel

• neither

• Same Line

Multiple Choice

How Many Solutions

y = 12x + 4 and y = 12x +14

• None

• 1

• 2

• Infinite

Multiple Choice

How Many Solutions

$$y=-\frac{1}{2}x+1\ and\ \ y=\frac{1}{2}x-5$$

• None

• 1

• 2

• Infinite

Multiple Choice

How many solutions

y=5x + 7 and y=5x + 7

• None

• 1

• 2

• Infinite

Solving Systems of Equations by Graphing

Algebra 1

Multiple Choice

What form do we need the equations to be in so that we can graph them?

• Standard From

• Slope-Intercept Form

• Point-Slope Form

• Any Form

One Solution

When you graph both equations they will cross in exactly ONE POINT. The INTERSECTION POINT is the ANSWER to the system.

No Solution

When you graph both equations they NEVER intersect. No intersection point means no solution.

Infinite Solutions

When you graph both equations and they overlap. When the lines overlap at every point it means they have infinite solutions. They are actually the same line.

Multiple Choice

If you graph 2 lines and they intersect at ONE point, how many solutions does the system have?

• No Solution

• Infinite Solutions

• One Solution

• None of These

Multiple Choice

If 2 lines never intersect, how many solutions does the system have?

• No Solution

• Infinite Solutions

• One Solution

• None Of These

Multiple Choice

If a system has 2 lines that overlap, meaning they share all of the same points, how many solutions does the system have?

• No Solution

• Infinite Solutions

• One Solution

• None Of These

Multiple Choice

How many solutions will this system have?

• One
• Two
• No Solution
• Infinitely Many Solutions

Multiple Choice

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. 

Multiple Choice

This system has _____ solutions

• no
• 1
• 2
• Infinitely many

Together:

• Rise: 3

• Run: - 4

• Rise / Run: 3 / - 4

• Slope: - 3 / 4

Multiple Choice

Find the slope:

• 3/4

• 4/3

• -3/4

• -4/3

Multiple Choice

Determine the slope and y-intercept from the following equation:

$$y=\frac{3}{2}x+3$$  

• $$m=5,\ b=3$$  

• $$m=\frac{3}{2},\ b=3$$  

• $$m=4,\ b=\frac{3}{2}$$  

• $$m=\frac{1}{5},\ b=5$$