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 - PowerPoint PPT Presentation

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?

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

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 itemβs price had increased by 33% instead of discounted 33%?

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₯ β0.20π₯)?

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