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Testing Quadratic Inequalities Concepts

Testing Quadratic Inequalities Concepts

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.7C, 6.EE.B.8, HSA.REI.D.12

+1

Standards-aligned

Created by

Aiden Montgomery

FREE Resource

Standards-aligned

CCSS.HSF-IF.C.7C
,
CCSS.6.EE.B.8
,
CCSS.HSA.REI.D.12
CCSS.6.EE.B.5
,
The video tutorial explains how to solve a quadratic inequality by first ensuring it is in standard form, then finding critical points by factoring the quadratic equation. It involves plotting these points on a number line and testing intervals to determine which are part of the solution. The solution is verified using a graph of the quadratic function, confirming the intervals where the function is less than or equal to zero.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a quadratic inequality?

Graphing the equation

Setting the inequality to zero

Factoring the equation

Finding the critical points

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which method is used to factor the quadratic equation in this tutorial?

Completing the square

Synthetic division

Trial and error

Using the quadratic formula

Tags

CCSS.HSF-IF.C.7C

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the critical points of the equation 3x^2 + 7x - 20 = 0?

x = 0 and x = 20

x = 3 and x = -7

x = 5/3 and x = -4

x = -5 and x = 4

Tags

CCSS.6.EE.B.8

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine if a point on the number line is open or closed?

By checking if the inequality is strict or non-strict

By using the quadratic formula

By solving the equation

By graphing the function

Tags

CCSS.HSA.REI.D.12

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What test value is used for the interval to the left of x = -4?

x = 0

x = 2

x = -3

x = -5

Tags

CCSS.6.EE.B.5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of testing x = 0 in the inequality?

The interval is undefined

The interval is partially true

The interval is true

The interval is false

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of a positive product when testing intervals?

It indicates the interval is partially true

It indicates the interval is undefined

It indicates the interval is false

It indicates the interval is true

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