Inequalities and Volume Calculations

This video tutorial covers writing and graphing inequalities, analyzing time spent on homework, calculating the volume of a rectangular prism, matching mathematical statements with English descriptions, and applying the distributive property to sums. It provides practical examples and visual aids to enhance understanding of these mathematical concepts.

What is the maximum price a book could be at the sale if all books cost less than five dollars?

• $4.50

• $5.01

• $4.99

• $5.00

Which inequality represents the cost of books at the sale?

• x < 5

• x ≥ 5

• x > 5

• x ≤ 5

If Kieran started his homework before 7 PM and finished after 8 PM, which statement is definitely true?

• h > 1

• h < 1

• h = 1

• h < 2

Which of the following could possibly be true about the time Kieran spent on his homework?

• h < 1

• h = 1

• h < 0.5

• h > 2

What is the expression for the volume of a rectangular prism with length 4 and width and height d?

• 4d

• d^2

• 4d^3

• 4d^2

Calculate the volume of the prism when d = 2.

• 12 units^3

• 4 units^3

• 16 units^3

• 8 units^3

Which statement matches: The absolute value of -12 is greater than -15?

• -15 is further from 0 than -12

• -12 is less than -15

• The distance between -12 and 0 is greater than -15

• -12 equals 12

What is the common factor in the expression 2a + 7a?

• 7

• 14

• a

• 2

Rewrite 5z - 10 using the distributive property.

• 5(z + 2)

• 10(z - 5)

• z(5 - 10)

• 5(z - 2)

What is the result of applying the distributive property to 2x - 1/2?

• 1/2(4x - 1)

• x(2 - 1/2)

• 1/2(2x - 1)

• 2(x - 1/2)