Systems of Linear and Quadratic Equations

Systems of Linear and Quadratic Equations

​How to graph a line

​Slope intercept form

y=mx+b

m (rise/run) is the slope (how to move from 1 point to the next).

b is the y - intercept (0,b) the starting point

Draw

Draw the line on the graph for the equation

Multiple Choice

Which equation is being represented by this line?

• y = -1x + 2
• y = 1/2x + 2
• y = 3x -4
• y = -3x +2

Multiple Choice

Which line is being represented by the graph?

• y = 3/4 X -3
• y = -3/4x + 4
• y = 3/4x + 4
• y = -3/4 x - 3

Multiple Choice

Which equation matches the graph? (Click me to see the image)

• y = 2x
• y = 1/4 x + 2
• y = 1x + 4
• y = -2x

Multiple Choice

What is the equation of this line in slope-intercept form?

• y = 2x + 5
• y = -2x + 5
• y = -2x
• y = 5

Multiple Choice

What is the equation of this line?

• 0
• undefined 
• y = -2
• x = -2

Multiple Choice

What is the correct equation of this graph?

• y = x + 4
• y = 2x + 4
• y = 3x + 4
• y = 4x + 4

Multiple Choice

The coordinates for the origin in the coordinate plane are________?

• (1,1)
• (0,0)
• (0,1)
• (1,0)

Multiple Choice

Find the slope of the line.

• 1/2
• -1/2
• 2
• -2

Multiple Choice

Find the slope of the line.

• -5/4
• 5/4
• -4/5
• 4/5

Types of solutions to a linear/quadratic system:

​How many times does the line hit the parabola?

​The solutions are the coordinates where the line hits the parabola

Multiple Choice

Determine the number of solutions to the given linear-quadratic system.

• 0 solutions

• 1 solution

• 2 solutions

• 3 solutions

Multiple Choice

How many solutions does this system of equations have?

• one solution

• two solutions

• no solutions

• All of the above

Multiple Choice

How many solutions does this system of equations have?

• one solution

• two solutions

• no solution

• infinitely many solutions

Multiple Choice

Graph the following equations:

y=2x-1

y=x²

Multiple Choice

Graph the following equations:

y = - 1

y = x² - 2

Multiple Choice

Two equations were graphed on the set of axes below.  Which point is a solution to the system of equations ?

• (0,3)
• (5,0)
• (2,-3)
• (8,9)

Multiple Choice

What are the solutions to the graphed system?

• (0,-2) and (3,-1)

• (-2,0) and (2,0)

• (0,-2) and (3,1)

• (2,2) and (1,0)

Multiple Choice

What are the solutions to this quadratic/ linear system?

• no solution

• (3,0) and (4, 5)

• (0,3) and (4, -5)

• (3,4) and (0,-5)

Multiple Choice

What are the solutions to this quadratic/ linear system?

• (-2, 0) and (3,0)

• No Solutions

• -6 and -10

• (1,-6)

Multiple Choice

What are the solutions to the graphed system?

• (0,-2) and (-3,1)

• (-2,0) and (2,0)

• (0,-2) and (3,1)

• (2,2) and (1,0)

Fill in the Blank

If a linear equation and a quadratic equation never intersect then the system of equation have __________.

Multiple Choice

If the a quadratic equation crosses the linear equation at two points on a graph, then the system of equations has?

• No solution

• One solution

• Two solution

• All real numbers

Multiple Choice

A linear-quadratic system touch at the point (1,-3) is said to have how many solutions?

• Two solutions

• One solution

• No solution

• Many solutions

Multiple Choice

What type of function is this?

• Linear
• Quadratic
• Absolute Value
• Exponential