Quadratic Inequalities and Functions

Quadratic Inequalities and Functions

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

Created by

Emma Peterson

FREE Resource

This video tutorial explains how to solve a quadratic inequality both by hand and graphically. It begins with an introduction to the problem, followed by a detailed step-by-step solution using factorization and interval testing. The tutorial then demonstrates how to solve the inequality graphically by analyzing the function's graph and identifying intervals where the function is above the x-axis. The video concludes with a comparison of the two methods, highlighting the efficiency of graphical solutions when x-intercepts are real and rational.

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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 by hand?

Test values in each interval

Graph the function

Use interval notation

Determine the x-values where the equation equals zero

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a factor of the quadratic equation 'two x squared plus three x minus five'?

x + 5

x - 2

2x - 5

2x + 5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the x-value when 'x minus one' equals zero?

x = 0

x = 1

x = -1

x = 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why are open points used on the number line for the values where the equation equals zero?

Because zero is greater than zero

Because zero is not greater than zero

Because zero is equal to zero

Because zero is less than zero

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which test value is used for the interval to the left of negative five halves?

x = 0

x = 2

x = -2

x = -3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result when x equals zero in the inequality?

True, part of the solution

False, not part of the solution

True, but not part of the solution

False, but part of the solution

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the solution expressed using interval notation?

From zero to infinity

From negative infinity to negative five halves and from one to infinity

From negative five halves to one

From negative infinity to positive infinity

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