Algebra 2 1.1 Prior

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you convert units?

Back

To convert units, you multiply the quantity by a conversion factor that relates the two units. For example, to convert 5 feet to inches, you multiply by 12 (since 1 foot = 12 inches): 5 feet * 12 = 60 inches.

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second. For example, the ratio of 2 to 3 can be written as 2:3.

Front

How can ratios be used in real-life situations?

Back

Ratios can be used to compare quantities in real-life situations, such as recipes (e.g., 2 cups of flour to 3 cups of sugar) or in maps (e.g., a scale of 1:1000).

Front

What is the difference between a rate and a ratio?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as miles per hour or price per item, while a ratio compares two quantities of the same kind.

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How do you solve problems involving rates?

Back

To solve problems involving rates, identify the rate given, set up a proportion if necessary, and solve for the unknown quantity using cross-multiplication or algebraic methods.

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What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

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How can you check if two ratios form a proportion?

Back

To check if two ratios form a proportion, cross-multiply the terms. If the cross-products are equal, the ratios are proportional.

Front

What is the formula for finding a unit price?

Back

The unit price can be found by dividing the total price by the number of units. For example, if a pack of 6 apples costs $3, the unit price is $3/6 = $0.50 per apple.

Front

How do you apply ratios to scale drawings?

Back

To apply ratios to scale drawings, use the ratio to determine the dimensions of the drawing compared to the actual object. For example, a scale of 1:100 means 1 unit on the drawing represents 100 units in reality.