1st: Solving Ratios

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What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two fractions and set the products equal to each other.

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CCSS.7.EE.B.3

Front

What does it mean if two ratios are equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.

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CCSS.6.RP.A.3A

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Back

x = 8.

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CCSS.7.RP.A.2B

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Back

x = 3.5.

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CCSS.7.RP.A.2B

Front

What is the cross-multiplication method?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one fraction by the denominator of the other.

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CCSS.7.RP.A.2B

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Back

x = 6.72.

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CCSS.7.RP.A.3

Front

What is the first step in solving a ratio problem?

Back

Identify the two quantities being compared and set up the ratio as a fraction.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you check if your solution to a ratio problem is correct?

Back

You can check your solution by substituting it back into the original ratio to see if both sides are equal.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per'.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2