Math Word Problems and Calculations

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Questions and Answers

What is the total length of spirit ribbon needed to make 1 hair bow?

  • 8/7 yard
  • 1/8 yard
  • 1 yard
  • 7/8 yard (correct)

Which of the following expressions correctly represents the number of hair bows Tyanna can make from 1 yard of ribbon?

  • $1 ÷ 8/7$
  • $1 ÷ 7/8$ (correct)
  • $1 ÷ 1/8$
  • $7 ÷ 8$

According to Tyanna's calculation, how many hair bows can be made from 7/8 yard of ribbon?

  • 0.875
  • 2
  • 1 (correct)
  • 1.5

Which of these is an equivalent fraction to 7/8?

<p>14/16 (A)</p> Signup and view all the answers

If Michael cuts 3 sandwiches into equal-sized pieces, how much does each friend receive if shared among 4 friends?

<p>3/8 sandwich (A)</p> Signup and view all the answers

How many equivalent fractions can be created for the fraction 3/4?

<p>Infinite (D)</p> Signup and view all the answers

What is the simplest form of the fraction 28/32?

<p>7/8 (D)</p> Signup and view all the answers

If the total length of ribbon is represented as a mixed number $1 1/8$, what improper fraction would this be?

<p>9/8 (B)</p> Signup and view all the answers

If Aisha has _ liters of water, how many complete containers can she make if she uses _ liters for each?

<p>2 complete containers (C)</p> Signup and view all the answers

What is the fraction of a container that Aisha can still fill after making complete containers?

<p>1/4 (A)</p> Signup and view all the answers

How would you represent the mathematical operation of dividing Aisha's total water by the amount poured into each container?

<p>Division (D)</p> Signup and view all the answers

If Aisha has enough water for 2 complete experiment containers and an additional quarter, what is the total fraction of containers she can fill?

<p>2 1/2 (A)</p> Signup and view all the answers

Which of the following statements is true regarding the total liters of water Aisha has used?

<p>She has used less than a liter. (A)</p> Signup and view all the answers

What mathematical operation would you perform to determine how many full containers Aisha can make from her water supply?

<p>Dividing the total water by the volume used per container (D)</p> Signup and view all the answers

How can Aisha express the amount of water remaining after making the containers?

<p>As a fraction of 1 liter (B)</p> Signup and view all the answers

In the process of Aisha's experiment, what type of numbers is she primarily working with?

<p>Positive rational numbers (D)</p> Signup and view all the answers

What is the area of the rectangle that Eileen paints in square feet?

<p>98 square feet (B)</p> Signup and view all the answers

If the base dimensions of the rectangular prism are 11 cm by 5 cm, what is the area of its base in square centimeters?

<p>55 square centimeters (C)</p> Signup and view all the answers

What is the volume of the prism if its base area is 55 cm² and its height is 6 cm?

<p>330 cubic centimeters (A)</p> Signup and view all the answers

What is the height of the rectangular prism described?

<p>6 centimeters (D)</p> Signup and view all the answers

To find the volume of a prism, which formula should be used?

<p>Base area x height (B)</p> Signup and view all the answers

If Eileen's painted area is 98 square feet, which of the following rectangles could have produced this area?

<p>7 ft by 14 ft (C)</p> Signup and view all the answers

Which of the following is a characteristic of a rectangular prism?

<p>It has six rectangular faces (D)</p> Signup and view all the answers

What dimension(s) are needed to calculate the area of a rectangle?

<p>Length and width (C)</p> Signup and view all the answers

Which number is closest to 32 on the number line provided?

<p>32.1 (B)</p> Signup and view all the answers

What is the significance of labeling numbers on a number line?

<p>It shows the relationship between different quantities. (A)</p> Signup and view all the answers

What is the maximum height recorded for the plants in the table?

<p>4 meters (C)</p> Signup and view all the answers

What could be a potential error when interpreting the number line?

<p>Reading numbers without understanding their decimal places. (D)</p> Signup and view all the answers

If a new number, 32.5, were added to the number line, where would it be placed?

<p>Between 32.4 and 32.6 (C)</p> Signup and view all the answers

Which measurement shows a relationship that may need further examination?

<p>Plant heights in meters. (B)</p> Signup and view all the answers

What could be inferred about the distribution of the plant heights?

<p>Heights vary significantly and may indicate different species. (D)</p> Signup and view all the answers

Why might it be important to use decimals when describing the heights of plants?

<p>Decimals provide more precision than whole numbers. (B)</p> Signup and view all the answers

What is the total cost for 2 bottles of dish detergent, 1 bottle of laundry soap, and 4 packages of bar soap?

<p>$63.75 (A)</p> Signup and view all the answers

What is the value of $3.6 multiplied by $0.17?

<p>$0.612 (B)</p> Signup and view all the answers

What is the volume of the cereal box in cubic centimeters given the dimensions of 4.2 cm, 25.2 cm, and 15.8 cm?

<p>1672.272 cm³ (D)</p> Signup and view all the answers

If three friends purchase 2 boxes of Crunchy Chewy snack mix for $15.48 each, how much does each person pay?

<p>$10.32 (A)</p> Signup and view all the answers

What is the result of dividing 6.1 by 2.5?

<p>2.44 (B)</p> Signup and view all the answers

How much does Colin spend in total on paper towels and facial tissues?

<p>$47.75 (A)</p> Signup and view all the answers

Which of the following items does Colin purchase the most of in terms of quantity?

<p>Bar soap (A)</p> Signup and view all the answers

How many total items does Colin put in his shopping cart?

<p>13 (A)</p> Signup and view all the answers

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Study Notes

Hair Bows and Ribbon Calculation

  • Each hair bow requires â…› yard of spirit ribbon.
  • An expression can represent the quantity of bows made from 7/8 yard of ribbon. Potential expressions to evaluate include variations of 7/8 divided by 1/8.

Equivalent Fractions

  • Generate four equivalent fractions for selected fractions from the given options.
  • One fraction must simplify to its simplest form.

Sandwich Sharing Problem

  • Michael shares 3 sandwiches with four friends, resulting in each friend receiving ¾ of a sandwich, calculated by dividing total pieces.

Aisha's Water Experiment

  • Aisha has 2 liters of water and uses â…› liter per container, leading to her ability to make 16 containers (2 ÷ â…›).
  • The leftover results in an incomplete container, with calculations showing a complete total of 2 full containers.

Area Calculation

  • The area painted by Eileen measures 98 square feet, calculated based on specified dimensions.

Volume of Rectangular Prism

  • A rectangular base with dimensions of 11 cm by 5 cm and a height of 6 cm yields a volume of 330 cm³, calculated using the formula for volume V = base area × height.

Decimal Comparisons

  • Numbers compared on a number line include values near 32. Relevant decimals: 45.39, 45.6, 46.18, etc.
  • Important calculations involve multiplying decimals, e.g., 3.6 × 0.17 results in 0.612.

Shopping Cart Calculation

  • Colin's total expenditure on household items includes:
    • 2 bottles of dish detergent ($5.39 each), total $10.78
    • Laundry soap at $17.97
    • 4 packages of bar soap ($8.75 each), totaling $35
  • Total spending amounts to $63.75.

Cereal Box Volume

  • Dimensions for the cereal box are 4.2 cm, 25.2 cm, and 15.8 cm.
  • Volume calculation for the cereal box gives approximately 1672.27 cm³.

Additional Division Problem

  • The value of 6.1 divided by 2.5 equals approximately 2.44.

Snack Cost Sharing

  • The cost for two boxes of snack mix ($15.48 each) shared among three friends results in each person paying a third of the total adjusted price.

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