1st: Solving Ratios

Front

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 ratio equation?

Back

To solve a ratio equation, cross-multiply the terms and then isolate the variable.

Tags

CCSS.6.EE.B.7

Front

Back

This equation represents a ratio where 4.8 is to x as 6 is to 8.4.

Tags

CCSS.7.RP.A.2C

Front

Back

x = 3.5, found by cross-multiplying and solving.

Tags

CCSS.7.RP.A.3

Front

What is the cross-multiplication method?

Back

Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other and setting the two products equal.

Tags

CCSS.4.NF.A.2

Front

Back

x = 8, found by cross-multiplying.

Tags

CCSS.5.NF.B.3

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Tags

CCSS.7.RP.A.2A

Front

How can you check if two ratios are equivalent?

Back

You can check by cross-multiplying the ratios and seeing if the products are equal.

Tags

CCSS.6.RP.A.3A

Front

What is the simplest form of a ratio?

Back

The simplest form of a ratio is when both quantities are divided by their greatest common divisor.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean to scale a ratio?

Back

Scaling a ratio means multiplying both terms of the ratio by the same number to create an equivalent ratio.

Tags

CCSS.6.RP.A.3A