Equations and Problem Solving

The video tutorial covers the basics of equations, focusing on their truth values and how to solve them using variables. It includes practical applications through story problems and explains the concepts of variables and coefficients. The session concludes with a homework review and a summary of key concepts.

If a = 3, b = 4, and c = 5, is the equation a + b = c true or false?

• Cannot be determined

• False

• Depends on the values of a and b

• True

Which equation represents the scenario where Elena ran 5 miles on Friday and a total of 20 miles for the week?

• 5 + x = 20

• 5x = 20

• x - 5 = 20

• x + 5 = 20

What is the coefficient in the equation 5x = 20?

• 20

• x

• There is no coefficient

• 5

Which of the following equations is true?

• 5 + 0 = 0

• 1.4 + 2.7 = 4.2

• 15 * 0 = 0

• 2 * 5 = 12

If a water bottle had 24 oz and 10 oz are left after drinking, which equation represents this situation?

• 24 / 10 = x

• x + 10 = 24

• 10x = 24

• 24 - x = 10

Pri has five pencils each of length x inches, and their total length is 34.5 inches. Which equation represents this?

• 34.5 - x = 5

• 5x = 34.5

• x / 5 = 34.5

• 5 + x = 34.5

What is the value of a if 2a = 4.6?

• 1.15

• 4.6

• 9.2

• 2.3

How many milligrams of Vitamin C are in an orange if it contains 75% of the daily recommended allowance of 45 mg?

• 11.25 mg

• 45 mg

• 22.5 mg

• 33.75 mg

If 20% of 90 kids own their instruments, how many kids rent them?

• 45

• 90

• 72

• 18

What percentage of kids rent their instruments if 20% own them?

• 100%

• 80%

• 50%

• 20%