Linear Inequalities: Level 1 Challenges Practice Problems Online

Which inequality is represented in the above number line?

The above 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

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?

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 $\frac{a+c}{b+d} ?$

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?

Concept Quizzes

Challenge Quizzes

Linear Inequalities: Level 1 Challenges

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 6 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.