Inequalities and Quadrants Practice

The video tutorial covers a range of mathematical concepts starting with bell work on dividing mixed numbers using reciprocal and long division. It then explains how to multiply decimals without aligning them, followed by solving expressions using PEMDAS. The tutorial also covers identifying quadrants on a coordinate grid and graphing inequalities. Finally, it applies these concepts to real-world scenarios, demonstrating how to write and graph inequalities in practical situations.

What is the result of dividing four and a half by two?

• 3

• 1 and 3/4

• 2 and 1/4

• 2 and 1/2

When multiplying decimals, what is the correct way to handle the decimal points?

• Line up the decimals before multiplying

• Ignore the decimals and adjust at the end

• Convert to fractions first

• Multiply as whole numbers and ignore decimals

In which quadrant does the point (-5, -100) lie?

• Quadrant I

• Quadrant IV

• Quadrant II

• Quadrant III

What does a solid circle represent when graphing inequalities?

• The inequality is less than

• The inequality is greater than

• The number is included in the solution

• The number is not included in the solution

If Caleb has at least $5, which inequality represents this situation?

• x < 5

• x > 5

• x ≥ 5

• x ≤ 5

What is the inequality for a wait time that must be less than or equal to 20 minutes?

• x ≥ 20

• x ≤ 20

• x < 20

• x > 20

If Guernez needs to work at least 6 hours but less than 16 hours, which inequality represents this?

• x ≤ 6 and x > 16

• 6 < x < 16

• x > 6 and x ≤ 16

• x ≥ 6 and x < 16

What is the inequality for Travis who always gets less than 9 gallons of milk?

• x > 9

• x ≥ 9

• x ≤ 9

• x < 9

Rita needs more than 4 days to bake cakes. Which inequality represents this?

• x < 4

• x ≤ 4

• x ≥ 4

• x > 4

If Rita must complete her orders in 7 days or less, how does this change the inequality?

• x ≥ 7

• x ≤ 7

• x < 7

• x > 7