Solving Equations with Fractions and Decimals Flashcard

Front

What is the process to isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations on both sides of the equation until the variable is alone on one side.

Front

How do you solve an equation with a decimal coefficient?

Back

To solve an equation with a decimal coefficient, you can multiply both sides of the equation by a power of 10 to eliminate the decimal.

Front

What is the first step in solving the equation 0.5x = 2?

Back

Multiply both sides by 2 to eliminate the decimal, resulting in x = 4.

Front

How do you convert a fraction to a decimal?

Back

Divide the numerator by the denominator.

Front

What is the solution to the equation 3/4x = 6?

Back

Multiply both sides by 4/3 to isolate x, resulting in x = 8.

Front

What does it mean for x to be a whole number in an equation?

Back

It means that x can only take on values that are non-negative integers (0, 1, 2, 3, ...).

Front

How can you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 1/2x = 3?

Back

Multiply both sides by 2 to isolate x, resulting in x = 6.

Front

How do you solve the equation 2/5x = 8?

Back

Multiply both sides by 5/2 to isolate x, resulting in x = 20.

Front

What is the relationship between fractions and decimals?

Back

Fractions can be converted to decimals, and vice versa, representing the same value in different forms.