208 - One Step Equations Multiplication

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 involving addition, subtraction, multiplication, or division.

Front

How do you solve the equation 2x = 10?

Back

To solve 2x = 10, divide both sides by 2. Thus, x = 5.

Front

What is the solution to the equation 3x = 15?

Back

The solution is x = 5, found by dividing both sides by 3.

Front

How do you verify if x = 5 is a solution to the equation 2x = 10?

Back

Substitute x = 5 into the equation: 2(5) = 10. Since this is true, x = 5 is a solution.

Front

What is the solution to the equation 6b = 54?

Back

The solution is b = 9, found by dividing both sides by 6.

Front

How do you solve the equation 4y = 28?

Back

To solve 4y = 28, divide both sides by 4. Thus, y = 7.

Front

What does it mean to verify a solution in an equation?

Back

Verifying a solution means substituting the proposed solution back into the original equation to check if it holds true.

Front

What is the solution to the equation 4z = 36?

Back

The solution is z = 9, found by dividing both sides by 4.

Front

What is the process to isolate a variable in a one-step equation?

Back

To isolate a variable, perform the inverse operation of what is being done to the variable (e.g., if multiplied by a number, divide by that number).

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.