Solving One-Step Equations Using Multiplication & Division

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 -5x = 25?

Back

To solve -5x = 25, divide both sides by -5. The solution is x = -5.

Front

What is the first step to solve the equation 6b = 30?

Back

Divide both sides by 6 to isolate b. The solution is b = 5.

Front

What does the variable represent in an equation?

Back

A variable represents an unknown value that can change or vary, often denoted by letters like x, y, or z.

Front

How do you write an equation for splitting a bill evenly among friends?

Back

If d is the total bill and there are 5 people, the equation is d/5 = amount each person pays.

Front

What is the equation to find out how many fish Todd caught last year if he caught 63 fish this year?

Back

The equation is 3f = 63, where f represents the number of fish caught last year.

Front

What is the solution to the equation 3x + 7 = 16?

Back

Subtract 7 from both sides to get 3x = 9, then divide by 3 to find x = 3.

Front

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

Back

Isolating a variable means to manipulate the equation so that the variable is on one side by itself, making it easier to solve.

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 inverse operation of multiplication?

Back

The inverse operation of multiplication is division.