Mathematics Grade 7 15 min

Unit prices

Unit prices

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1

Introduction & Learning Objectives

Learning Objectives Define unit price and explain its importance in consumer decisions. Calculate the unit price for various products given their total cost and quantity. Compare unit prices of different-sized or different-branded items to identify the 'best buy'. Solve real-world problems involving unit price calculations. Understand how different units of measurement affect unit price comparisons. Apply unit price concepts to make informed and economical purchasing choices. Ever wonder if that giant box of cereal is *really* a better deal than two smaller boxes? 🤔 Let's unlock the secret to saving money while shopping! In this lesson, you'll learn how to calculate and use unit prices to compare different products and find the best value for your money...
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Key Concepts & Vocabulary

TermDefinitionExample Unit PriceThe cost of a single unit of a product. It tells you how much you're paying per ounce, per pound, per item, etc.If a 12-ounce box of cereal costs $3.00, the unit price is $0.25 per ounce. Total CostThe full amount of money paid for a product or service.The total cost of a 2-liter bottle of soda might be $1.99. QuantityThe amount or number of items of a product being purchased.A bag of apples might have a quantity of 3 pounds, or a pack of pens might have a quantity of 10 pens. Best BuyThe item or option that offers the lowest unit price, meaning you get more for your money.Between two brands of paper towels, the one with the lowest unit price per sheet is the 'best buy'. RateA ratio that compares two quantities with different units of measure...
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Core Formulas

Unit Price Formula \text{Unit Price} = \frac{\text{Total Cost}}{\text{Quantity}} To find the unit price, always divide the total cost of the item by its quantity (e.g., weight, volume, or number of items). The result will be the cost per single unit. Comparing for the Best Buy \text{Lowest Unit Price} = \text{Best Buy} When comparing two or more items, calculate the unit price for each. The item with the smallest unit price offers the best value for your money, assuming all other factors (like quality) are equal. Calculating Total Cost from Unit Price \text{Total Cost} = \text{Unit Price} \times \text{Quantity} If you know the unit price of an item and want to find out the total cost for a specific quantity, multiply the unit price by the desired quantity.

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Sample Practice Questions

Easy
Which of the following best defines 'unit price'?
A.The total cost of all items in your shopping cart.
B.The price of an item after a discount is applied.
C.The cost for a single unit of a product, such as per ounce or per item.
D.The number of items you can buy for a certain price.
Easy
Which formula is used to correctly calculate the unit price of an item?
A.Unit Price = Total Cost / Quantity
B.Unit Price = Quantity / Total Cost
C.Unit Price = Total Cost x Quantity
D.Unit Price = Total Cost - Quantity
Easy
A 12-pack of soda costs $6.00. What is the unit price per can of soda?
A.$2.00 per can
B.$0.50 per can
C.$6.00 per can
D.$0.20 per can

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