Basic Algebra and Temperature Problems

This video tutorial covers solving equations with rational numbers, focusing on opposites and reciprocals. It includes matching equations to solutions and applying these concepts to real-world scenarios like elevation and temperature changes. The lesson concludes with a card sort activity on inverses and a summary with homework instructions.

What is the reciprocal of 7?

• 1/7

• 7

• 0

• -7

If you multiply a number by its reciprocal, what is the result?

• Undefined

• The number itself

• 1

• 0

What is the opposite of -6?

• 0

• 12

• -6

• 6

Which operation would you use to solve the equation 3x = 9?

• Multiply by 3

• Add 3

• Divide by 3

• Subtract 3

What is the solution to the equation x + 290 = 450?

• 450

• 290

• 740

• 160

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

• 25°

• 17°

• 19°

• 21°

There are 42 students on a trip this year, which is three times last year's number. How many students were there last year?

• 14

• 21

• 42

• 28

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?

• $32

• $24

• $64

• $48

What is the additive inverse of 2?

• -2

• 2

• 0

• 4

What is the multiplicative inverse of -3?

• -3

• 1/3

• 3

• -1/3