Solving Equations With Rational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

How do you isolate a variable in an equation?

Back

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

Front

Solve the equation: x + 3.5 = 9.5

Back

x = 6

Front

What is the first step to solve the equation 5x = 70?

Back

Divide both sides of the equation by 5 to isolate x.

Front

Solve the equation: 5x = 70

Back

x = 14

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Front

Solve the equation: p + 20 = 100

Back

p = 80

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo the operations applied to the variable, helping to isolate it.

Front

Solve the equation: 2x - 4 = 10

Back

x = 7

Front

What is the solution to the equation: 3x + 6 = 15?

Back

x = 3