One-Step Equations

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single step, typically by performing the inverse operation to isolate the variable.

Front

How do you solve the equation 6x = -42?

Back

To solve 6x = -42, divide both sides by 6. This gives x = -7.

Front

What is the first step to solve the equation v + 19 = -1?

Back

The first step is to subtract 19 from both sides of the equation, resulting in v = -20.

Front

How do you isolate the variable in the equation a + 3 = -1?

Back

To isolate a, subtract 3 from both sides, resulting in a = -4.

Front

What operation do you perform to solve the equation a - 1 = -17?

Back

To solve a - 1 = -17, add 1 to both sides, resulting in a = -16.

Front

How do you solve the equation \frac{n}{6} = 30?

Back

To solve \frac{n}{6} = 30, multiply both sides by 6, resulting in n = 180.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

Front

Why is it important to perform the same operation on both sides of an equation?

Back

Performing the same operation on both sides of an equation maintains the equality, ensuring that the solution remains valid.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means manipulating the equation so that the variable is on one side by itself, allowing for its value to be determined.