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Algebra

Linear Inequalities

Concept Quizzes

Linear Inequalities Warmup
Finding Solutions to Linear Inequalities
Inequalities - Solution Set
One-Step Linear Inequalities
Multi-Step Linear Inequalities
Two-sided Linear Inequalities
Absolute Value Linear Inequalities
Linear Inequalities Word Problems
Linear Inequalities - Problem Solving

Challenge Quizzes

Linear Inequalities: Level 1 Challenges
Linear Inequalities: Level 2 Challenges
Linear Inequalities: Level 3 Challenges

Linear Inequalities: Level 1 Challenges

Which inequality is represented in the above number line?

x>-2

x\geq -2

x \leq -2

x <-2

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by Gabe Smith

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The diagram shows how a mobile will be balanced when left to hang.

What are the relative weights of these shapes?

Triangle > Circle > Rectangle Rectangle > Circle > Triangle Circle > Triangle > Rectangle Triangle > Rectangle > Circle Rectangle > Triangle > Circle Circle > Rectangle > Triangle

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by Chung Kevin

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Paula Picasso makes her living by painting. She paints small portraits for $20, large landscapes for $50, and masterpieces for $1000.

Paula's goal is to make at least $2800. She has already sold 1 masterpiece and 23 landscapes. How many portraits must she sell to reach her goal?

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by skull blade

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You should know that

$\frac{a}{b} + \frac{c}{d} \ne \frac{a+c}{b+d}.$

However, if $a, b, c, d$ are positive integers that satisfy $\frac{a}{b} < \frac{c}{d},$ what can we say about $\frac{a+c}{b+d} ?$

\frac{c}{d} < \frac{a+c}{b+d}

0 < \frac{a+c}{b+d} < \frac{a}{b}

Cannot be certain

\frac{a}{b} < \frac{a+c}{b+d} < \frac{c}{d}

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by Chung Kevin

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These two numbers are very close together:

$\large \frac{122}{353} \approx 0.3456, \ \ \ \ \ \frac{75}{217} \approx 0.3456$

Which of these numbers is larger?

They are both equal

\frac{75}{217}

\frac{122}{353}

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by Chung Kevin

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