Flashcard Sec 3.6 A&B

Front

What is the Least Common Multiple (LCM)?

Back

The Least Common Multiple (LCM) of two or more integers is the smallest positive integer that is divisible by each of the integers.

Front

How do you find the LCM of two numbers, for example, 9 and 6?

Back

To find the LCM of 9 and 6, list the multiples of each number: Multiples of 9: 9, 18, 27, ...; Multiples of 6: 6, 12, 18, 24, ...; The smallest common multiple is 18.

Front

What is the LCM of 3, 2, and 4?

Back

The LCM of 3, 2, and 4 is 12.

Front

What is the purpose of clearing decimals in an equation?

Back

Clearing decimals makes it easier to solve equations by eliminating fractions and simplifying calculations.

Front

How do you clear decimals in the equation 0.02 - 0.05f = -8 + 0.3f?

Back

Multiply the entire equation by 100 to eliminate the decimals.

Front

What is the solution to the equation 0.013 - 0.02g = 0.053?

Back

The solution is g = -2.

Front

What is the process to solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

What are inverse operations?

Back

Inverse operations are pairs of operations that undo each other, such as addition and subtraction or multiplication and division.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form ax + b = c.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform the same operation on both sides of the equation to keep it balanced.