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Solving Quadratic Inequalities

Authored by Ella-Marie Chambers

Mathematics

9th Grade

CCSS covered

Used 7+ times

Solving Quadratic Inequalities
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14 questions

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1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is the primary difference between a quadratic equation and a quadratic inequality?

Quadratic inequalities do not involve variables.

Quadratic equations do not have solutions.

Quadratic inequalities can only have positive solutions.

The presence of an equal sign in equations versus an inequality sign in inequalities.

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What are critical values in the context of solving quadratic inequalities?

Values that make the equation equal to zero.

Values that make the inequality true for all x.

The maximum and minimum points of the graph.

The x-intercepts of the graph.

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

3.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

How do you determine the section of the graph where a quadratic inequality is true?

By finding where the graph is above or below the x-axis.

By calculating the slope of the graph.

By locating the vertex of the graph.

By identifying the y-intercept.

Tags

CCSS.HSA.CED.A.3

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is the purpose of case analysis (using a number line) in solving quadratic inequalities?

To find the exact points where the graph crosses the x-axis.

To avoid drawing graphs.

To simplify the equation to x=0.

To identify sections of the solution without graphing.

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.1

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

In case analysis, how do you test if a section is part of the solution?

By calculating the area under the graph.

By determining if the section contains the vertex.

By checking if the graph crosses the x-axis in that section.

By substituting a value from the section into the inequality.

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.11

CCSS.HSA.REI.D.12

6.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

When solving a quadratic inequality, why might you need to adjust the equation before factorizing?

To set the right-hand side to zero.

To simplify the equation to a linear form.

To ensure the coefficient of x^2 is positive.

To find the x-intercepts.

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is the primary difference between a quadratic equation and a quadratic inequality?

Quadratic inequalities do not involve variables.

Quadratic equations do not have solutions.

Quadratic inequalities can only have positive solutions.

The presence of an equal sign in equations versus an inequality sign in inequalities.

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