Math Chapter 1

Front

What is a ratio?

Back

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

Front

How do you find the Least Common Multiple (LCM) of two numbers?

Back

To find the LCM, list the multiples of each number and identify the smallest multiple they have in common.

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their GCF.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you calculate the unit rate from a given rate?

Back

To calculate the unit rate, divide the first quantity by the second quantity to find the amount per one unit.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first term is the numerator and the second term is the denominator.

Front

How do you solve a problem involving ratios?

Back

To solve a ratio problem, set up a proportion and cross-multiply to find the unknown value.

Front

What is the difference between LCM and GCF?

Back

LCM is the smallest multiple common to two or more numbers, while GCF is the largest factor common to those numbers.

Front

How can you use prime factorization to find the GCF?

Back

List the prime factors of each number, then multiply the lowest powers of all common prime factors.