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, as it is the smallest number that is a multiple of all three numbers.

Front

What is the first step in solving the equation 2.5 - 0.4y = 6.1?

Back

The first step is to isolate the term with the variable by subtracting 2.5 from both sides.

Front

What is the solution to the equation 2.5 - 0.4y = 6.1?

Back

The solution is y = -9.

Front

What does it mean to clear fractions in an equation?

Back

Clearing fractions means multiplying every term in the equation by the least common denominator (LCD) to eliminate the fractions.

Front

How do you clear fractions in the equation 4w + 2/7 = -4/5?

Back

Multiply every term by 35, which is the least common multiple of the denominators 7 and 5.

Front

What is the least common denominator (LCD) of the fractions 2/7 and -4/5?

Back

The least common denominator (LCD) is 35.

Front

What is the process to solve an equation after clearing fractions?

Back

After clearing fractions, simplify the equation and then isolate the variable to solve for it.

Front

What is the solution to the equation after clearing fractions: 4w + 2/7 = -4/5?

Back

After clearing fractions and simplifying, the solution is w = -1.