One Step Equations

Front

What is the definition of an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing an equal sign.

Front

What is the solution to the equation 12 = 4a?

Back

The solution is a = 3.

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

If w = 8 is the solution, which equation could represent this?

Back

The equation could be 8w = 64.

Front

What is the first step to isolate w in the equation 15 = w - 6?

Back

The first step is to add 6 to both sides of the equation.

Front

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

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

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

Back

The purpose is to undo the operations applied to the variable, allowing us to isolate it and find its value.

Front

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

Back

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

Front

What is the result of dividing both sides of the equation 8w = 64 by 8?

Back

The result is w = 8.