Mathematical Concepts and Problem Solving

This video tutorial covers solving equations with rational numbers, focusing on concepts like opposites and reciprocals. It includes practical applications such as calculating elevation changes and temperature variations. The lesson also features a card sort activity to reinforce understanding of inverses. The session concludes with a summary and homework instructions.

What is the result when you multiply a number by its reciprocal?

• Negative one

• Zero

• One

• The number itself

If you have a number and its opposite, what is their sum?

• The number itself

• Zero

• One

• Negative one

What is the solution to the equation 2x = -10?

• x = -5

• x = 5

• x = 20

• x = -20

How do you find the elevation before a hike if the current elevation is 450 ft and the increase was 290 ft?

• Add 290 to 450

• Subtract 290 from 450

• Divide 450 by 290

• Multiply 450 by 290

If the temperature is now 21° and it fell by 4° in the last hour, what was the temperature an hour ago?

• 21°

• 25°

• 17°

• 19°

If there are 42 students this year, which is three times the number last year, how many students were there last year?

• 42

• 28

• 21

• 14

What does the variable 's' represent in the equation 3s = 42?

• Number of students this year

• Number of students last year

• Total number of students

• Difference in students between years

If the cost of a trip this year is $32, which is 2/3 of last year's cost, what was last year's cost?

• $64

• $24

• $32

• $48

What is the additive inverse of 7?

• 7

• -7

• 0

• 1

How many seconds are there in one hour?

• 2,400

• 60

• 3,600

• 1,800