Step 1 for Solving Equations

Front

What are inverse operations in the context of solving equations?

Back

Inverse operations are pairs of mathematical operations that undo each other, such as addition and subtraction or multiplication and division. They are used to isolate the variable in an equation.

Front

What is the first step to solve the equation 5x + 7 = 12?

Back

The first step is to subtract 7 from both sides of the equation.

Front

How do you isolate the variable in the equation -3x - 11 = 44?

Back

You isolate the variable by adding 11 to both sides of the equation.

Front

What is the first step to solve the equation (2x + 5)/3 = 3?

Back

The first step is to multiply both sides of the equation by 3.

Front

What are the two steps to solve the equation 5x + 13 = 28?

Back

1. Multiply both sides by 5. 2. Subtract 13 from both sides.

Front

What does it mean to 'undo' an operation in solving equations?

Back

To 'undo' an operation means to apply the inverse operation to both sides of the equation to isolate the variable.

Front

What is the purpose of isolating the variable in an equation?

Back

The purpose of isolating the variable is to solve for its value, making it easier to understand the relationship between the variables in the equation.

Front

What is the relationship between addition and subtraction in solving equations?

Back

Addition and subtraction are inverse operations; adding a number can be undone by subtracting the same number.

Front

What is the relationship between multiplication and division in solving equations?

Back

Multiplication and division are inverse operations; multiplying by a number can be undone by dividing by the same number.

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 equation remains balanced.