multiplying and dividing 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 operation, such as addition, subtraction, multiplication, or division.

Front

How do you solve the equation 12 = x/4?

Back

To solve 12 = x/4, multiply both sides by 4 to get x = 48.

Front

What is the first step to solve the equation 8x = 104?

Back

The first step is to divide both sides by 8 to isolate x, resulting in x = 13.

Front

How do you isolate x in the equation 16 + x = 34?

Back

Subtract 16 from both sides to isolate x, resulting in x = 18.

Front

What operation do you perform to solve the equation x/4 = 8?

Back

Multiply both sides by 4 to solve for x, resulting in x = 32.

Front

How do you solve the equation 75 = 5x?

Back

Divide both sides by 5 to isolate x, resulting in x = 25.

Front

What is the importance of inverse operations in solving equations?

Back

Inverse operations are used to isolate the variable by reversing the operation applied to it, allowing for the solution of the equation.

Front

What does it mean to 'isolate the variable' in an equation?

Back

Isolating the variable means manipulating the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the solution to the equation 5x = 100?

Back

The solution is x = 20, found by dividing both sides by 5.

Front

How can you check your solution for an equation?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.