2-3 Solving Multi-Step Equations that require clearing fractions and decimals

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

How do you clear fractions in an equation?

Back

To clear fractions, multiply every term in the equation by the least common denominator (LCD) of all the fractions present.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that is common to the denominators of two or more fractions.

Front

Solve the equation by first clearing fractions: ¼x + 8 = ⅜

Back

x = -61/2

Front

How do you clear decimals in an equation?

Back

To clear decimals, multiply every term in the equation by 10 raised to the power of the highest decimal place.

Front

Solve by clearing decimals: 2.5y + 6 = 23.5

Back

y = 7

Front

What is the process of isolating the variable in an equation?

Back

Isolating the variable involves rearranging the equation to get the variable on one side and the constants on the other.

Front

Solve by clearing decimals first: 1.25m + 1.5 = 7.5

Back

m = 4.8

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming its correctness.

Front

Solve the equation: ½x + ⅓x = 5

Back

x = 6