Solving One Variable Equations with Fractions

Front

What is a one-variable equation?

Back

A one-variable equation is an equation that contains only one variable, which can be solved to find its value.

Front

How do you 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

What does it mean to solve an equation with fractions?

Back

Solving an equation with fractions involves finding a common denominator or multiplying through by the denominator to eliminate the fractions.

Front

Solve for a: 7 + a/3 = 5

Back

a = -6

Front

Solve for m: m / 2 = 10

Back

m = 20

Front

Solve for x: x / 2 - 5 = 3

Back

x = 16

Front

What is the first step in solving -12 = -2/5t?

Back

Multiply both sides by -5/2 to isolate t.

Front

What is the solution to -12 = -2/5t?

Back

t = 30

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

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.