Evaluating Algebraic Expressions

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Questions and Answers

Which expression correctly represents the total cost of 6 bubbles, 2 beach balls, and 3 sand buckets?

  • (6 * 1.49) * (2 * 2.00) * (3 * 3.50)
  • (6 - 2 + 3) * (1.49 + 2.00 + 3.50)
  • (6 + 2 + 3) * (1.49 + 2.00 + 3.50)
  • (6 * 1.49) + (2 * 2.00) + (3 * 3.50) (correct)

Which expression correctly represents the total cost for Roy and 2 friends at the game center?

  • (3 + 2.49 + 2.50) - 1
  • 3 * (3 + 2.49 + (2.50 - 1)) (correct)
  • 3 * (3 + 2.49 + 2.50) - 1
  • 3 + 2.49 + 2.50 - 1

Which expressions correctly represent the amount of money Alice spends after attending 8 art classes?

  • 8 + 1.25 + 8 * 0.85
  • 8 * 1.25 + 8 * 0.85 (correct)
  • 8 * (1.25 + 0.85) (correct)
  • 8 * (1.25) + 8 * (0.85)

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Study Notes

Evaluating Expressions

  • To evaluate an expression, follow the order of operations (PEMDAS): parentheses, exponents, multiplication and division, and addition and subtraction.
  • Evaluate each expression by following the order of operations and performing calculations accordingly.

Shopping for Items

  • Write an expression to represent the total cost of items: multiply the quantity of each item by its cost, and then add the costs together.
  • Example: (6 x 1.49) + (2 x 2.00) + (3 x 3.50) = total cost

Buying Food and Drinks

  • Write an expression to represent the total cost of food and drinks: multiply the quantity of each item by its cost, and then add the costs together.
  • Apply coupons by subtracting the discount from the cost.
  • Example: (3 x (3 + 2.49 + (2.50 - 1))) = total cost

Repeated Purchases

  • Write an expression to represent the total cost of repeated purchases: multiply the quantity of each item by its cost, and then multiply by the number of times the purchase is made.
  • Example: 8(1.25 + 0.85) or 8(1.25) + 8(0.85) = total cost

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