One Step Equations with Rational Numbers

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single step by performing the same operation on both sides of the equation.

Front

What does it mean to 'undo' an operation in an equation?

Back

To 'undo' an operation means to perform the opposite operation to isolate the variable. For example, if the operation is addition, the opposite is subtraction.

Front

If 1.15x = 5.75, how do you solve for x?

Back

Divide both sides by 1.15: x = 5.75 / 1.15.

Front

What is the first step to solve -35 + y = 70?

Back

Add 35 to both sides to isolate y: y = 70 + 35.

Front

What is the solution to the equation ½ = -⅛j?

Back

Multiply both sides by -8 to solve for j: j = -4.

Front

Why do we multiply by a number on both sides of an equation?

Back

We multiply to maintain the balance of the equation and to isolate the variable.

Front

What is the solution to the equation 3x = 12?

Back

Divide both sides by 3: x = 4.

Front

How do 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 opposite operation of multiplication?

Back

The opposite operation of multiplication is division.

Front

What does it mean to balance an equation?

Back

Balancing an equation means ensuring that both sides of the equation are equal by performing the same operation on both sides.