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2Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers Part 2PowerPoint Presentation

2Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers Part 2

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2Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers Part 2

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2Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers Part 2

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2Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers Part 2

- 2π₯ + 2(π₯ β 6)

- 4π₯ β 16

- 1(π₯ + 2) + 2(π₯ β 2)

- 4(3 β π₯)

- 4(2π₯ + 1) β 12π₯

- 3π₯ β 6

Show tape diagram

- What is the process to find a percent of a number without using a tape diagram?
- Under what circumstances would you prefer to use a tape diagram to help you calculate the percent of a number?
- When the original price is not known, how can an expression be used to represent the new price?
- When a discount of 20% is being deducted, what percent is being paid? How do you know?
- How is π₯ β 0.2π₯ = 0.8π₯?
- Describe the meaning of π₯ β 0.2π₯ = 0.8π₯ in the context of the problem.

- An item that has an original price of π₯ dollars is discounted 33%.
- a. Write an expression that represents the amount of the discount.
- b. Write two equivalent expressions that represent the new, discounted price.
- c. Use one of your expressions to calculate the new, discounted price if the original price was $56.
- d. How would the expressions you created in parts (a) and (b) have to change if the itemβs price had increased by 33% instead of discounted 33%?

- What is sales tax? Why do we have it?

- If a tape diagram were used to model the sales tax, into how many parts would the tape diagram need to be broken? Explain how you knew that.
- What is 1% of 80?
- If you can find 1% of 80 easily, how can you use that answer to find 8% of 80?

Describe the meaning of the expression (π₯ β0.20π₯)?

Describe why ((π₯ β 0.20π₯) + 0.08(π₯ β 0.20)) is equivalent to 1.08(π₯ β 0.20π₯)

Describe why (π₯ β 0.20π₯) + 0.08(π₯ β 0.20π₯) and 1.08(π₯ β 0.20π₯) are equivalent to 1.08(0.80π₯).

- Describe how to write an expression, which incorporates the use of multiple percents.
- Describe how expressions with percents can be written as equivalent expressions