U4L8 Systems of Linear and Quadratic Equations

Presentation

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Mathematics

•

Practice Problem

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Medium

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CCSS

HSA.REI.C.7

Standards-aligned

Stacey Schaffer

Used 41+ times

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8 Slides • 8 Questions

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

Type answer...

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

U4L8

Systems of Linear and Quadratic Equations

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