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Graphing Inequalities and Test Points

Graphing Inequalities and Test Points

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to solve nonlinear inequalities by comparing them to linear and quadratic inequalities. It emphasizes sketching graphs with appropriate lines, choosing test points, and interpreting results. An example using a circle inequality is provided, demonstrating the process of graphing, selecting test points, and determining the solution region.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main similarity between solving nonlinear and linear inequalities?

Both use the same algebraic techniques.

Both require graphing the solution set.

Both are solved using calculus.

Both involve solving for a single variable.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a nonlinear inequality graphically?

Choose a test point.

Graph the equation.

Shade the region.

Solve algebraically.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When graphing inequalities, what type of line is used for 'greater than' or 'less than'?

Bold line

Double line

Solid line

Dashed line

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of line should be used when the inequality includes 'equal to'?

Dotted line

Solid line

Dashed line

No line

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do after graphing the inequality?

Shade the entire graph.

Erase the graph.

Choose a test point.

Solve algebraically.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equation x^2 + y^2 ≥ 16 an example of?

A hyperbola

A circle

A parabola

An ellipse

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the radius of the circle represented by the equation x^2 + y^2 = 16?

2

3

4

5

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