Mathematical Equations and Word Problems

This video tutorial covers Math 6 Unit 6 Lesson 2 on truth and equations. It begins with an introduction to equations and their truth values, followed by solving equations with variables. The lesson then applies equations to real-world scenarios, emphasizing the importance of understanding variables and coefficients. The session concludes with a homework review and a summary of key points.

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

• True

• False

• Cannot be determined

• Depends on the values of a and b

Which of the following values for x, y, and z makes the equation x * y = z true if x = 3, y = 4, and z = 12?

• x = 2, y = 4, z = 8

• x = 1, y = 4, z = 4

• x = 3, y = 4, z = 12

• x = 5, y = 4, z = 15

In the story problem, if Elena ran 5 miles on Friday and a total of 20 miles for the week, how many miles did she run before Friday?

• 20 miles

• 5 miles

• 10 miles

• 15 miles

Andre's school has 20 clubs, which is five times as many as his cousin's school. How many clubs does his cousin's school have?

• 4 clubs

• 5 clubs

• 10 clubs

• 20 clubs

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

• 20

• x

• 1

• 5

If 2a = 4.6, what is the value of a?

• 4.6

• 2.3

• 9.2

• 1.15

Which of the following equations is true?

• 5 + 0 = 0

• 2 * 5 = 12

• 15 * 0 = 0

• 1.4 + 2.7 = 4.1

If a water bottle had 24 oz and 10 oz are left after drinking, how much was consumed?

• 24 oz

• 14 oz

• 34 oz

• 10 oz

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

• 40%

• 20%

• 80%

• 60%

An orange contains 75% of the daily recommended vitamin C of 45 mg. How many milligrams of vitamin C does the orange have?

• 11.25 mg

• 45 mg

• 22.5 mg

• 33.75 mg