U4L8 Systems of Linear and Quadratic Equations

​U4L8

Systems of Linear and Quadratic Equations

• ​I can solve systems of linear and quadratic equations by graphing (Desmos, please!)

• I can solve systems of linear and quadratic equations by substitution.

​

​Learning Target:

Rewind and Review First:

Linear Systems can have the following types of solutions

Types of solutions to a linear/quadratic system:

​Find the number of solutions algebraically. ( substitution)

Multiple Choice

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

• 0 solutions

• 1 solution

• 2 solutions

• 3 solutions

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

Solve the system of linear and quadratic equations:

y = 5

y = 2x² - 16x + 29

• (6, 5) and (2, 5)

• (2, 6)

• (6, 2)

• (5, 6) and (5, 2)

Multiple Choice

Find the solution.

• (2,3) and (3,4)

• (-3,-15) and (4,-8)

• (-3,10) and (8,4)

• (-8,3) and (-4,10)

Multiple Choice

Find the solution:
y = x² - 4x + 6
y = x + 2

• (3, 1) and (6, 4)

• (-1, 1) and (4, 2)

• (1, 3) and (4, 6)

• (1, 4) and (3, 6)

Fill in the Blanks

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