Quadratic Linear Systems

Quadratic Linear Systems

9th - 12th Grade

10 Qs

quiz-placeholder

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Quadratic Linear Systems

Quadratic Linear Systems

Assessment

Quiz

Mathematics

9th - 12th Grade

Medium

Created by

Jeffrey Yost

Used 1+ times

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

How many solutions

for the system:

y=(x^2) and y=-3?

0

1

3

4

Answer explanation

Media Image

If you notice the blue line y=-3 and the red quadratic y=(x^2) do not cross so the point of intersection is none.

2.

FILL IN THE BLANK QUESTION

45 sec • 1 pt

Media Image

How many real solutions does this system have?

(x^2)+(y^2)=25

x+3y=15

Answer explanation

Media Image

You need to find where the lines intercept each other.

2 solutions

3.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Put in Desmos:

How many real solutions does this system have?

y=(x^2)-2

y=x-6

Answer explanation

Media Image

If the lines aren't touching then there are no solutions, none, zero, 0!!!

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve the following systems for x and y:

y=(x^2)+12x+14

y-x=-4

(-9,-9),(12,-6)

(9,13),(2,-6)

(-1,9),(2,4)

(-9,-13),(-2,-6)

Answer explanation

Media Image

1. Put it in Desmos

2. Find intersection, if any

3. Your ordered pair of the intersection(s) is your real solutions

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

solve the systems:

y= -(x^2)+1

y=2x+1

(-2,-5),(0,1)

(0,1),(-1,0)

(0,1),(2,-3)

(0,1),(-2,-3)

Answer explanation

Media Image

Find those connecting points and you have your solutions

6.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Solve the system:

y=x^2

y=2-x

Answer explanation

Media Image

Looking for the intercepting points

7.

FILL IN THE BLANK QUESTION

1 min • 1 pt

The Quadratic and Linear Systems DO NOT intersect so there are _________ solutions.

Answer explanation

Media Image

No solutions, none, zero

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