Mathematical Concepts and Problem Solving

This video tutorial covers a range of mathematical concepts including positive and negative numbers, solving equations, plotting on a number line, understanding absolute values, graphing inequalities, and working with the coordinate plane. It also delves into finding common factors and multiples, providing practical examples and exercises to enhance understanding.

If a diver is 25 ft below sea level and swims up 15 ft, what is his new elevation?

• 15 ft below sea level

• 0 ft (sea level)

• 10 ft above sea level

• 10 ft below sea level

What is the opposite of -5 on a number line?

• -10

• 0

• 5

• -5

Which of the following temperatures is the coldest?

• 5°F

• -2 3/4°F

• -3°F

• 6°F

What is the absolute value of -7?

• -7

• 0

• 7

• 14

If a cell phone usually costs $250 and is bought for $150, what percentage of the usual price was paid?

• 75%

• 60%

• 80%

• 50%

What shape is formed by connecting the points (-2, 3), (2, 3), (-2, -3), and (2, -3) on a coordinate plane?

• Rectangle

• Square

• Triangle

• Circle

If a box of chocolates contains 20 bars and each bar sells for $1.50, how much money is collected from selling 3 boxes?

• $60

• $45

• $30

• $90

What is the greatest common factor of 42 and 15?

• 15

• 7

• 5

• 3

How many packages of cups and napkins are needed to have the same number of each if cups are sold in packages of 8 and napkins in packages of 12?

• 4 packages of cups and 3 packages of napkins

• 3 packages of cups and 2 packages of napkins

• 2 packages of cups and 3 packages of napkins

• 3 packages of cups and 4 packages of napkins

If a green light blinks every 4 seconds and a yellow light blinks every 5 seconds, when will they blink together?

• Every 25 seconds

• Every 20 seconds

• Every 15 seconds

• Every 10 seconds