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.

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.

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.

Front

Back

x = 8.

Front

Back

x = 3.5.

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.

Front

Back

x = 6.72.

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.

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'.