Solving One Step Equations Using Multiplication and 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 4b = 24?

Back

Divide both sides by 4: b = 24 / 4, so b = 6.

Front

What is the solution to the equation 24 = -6k?

Back

Divide both sides by -6: k = 24 / -6, so k = -4.

Front

How do you solve -7n = 35?

Back

Divide both sides by -7: n = 35 / -7, so n = -5.

Front

What is the solution to the equation 3j = -36?

Back

Divide both sides by 3: j = -36 / 3, so j = -12.

Front

How do you solve the equation 18 = -6h?

Back

Divide both sides by -6: h = 18 / -6, so h = -3.

Front

What is the principle of inverse operations in solving equations?

Back

The principle of inverse operations states that to isolate a variable, you can perform the opposite operation (e.g., if the variable is multiplied, divide it to isolate the variable).

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, allowing you to find its value.

Front

What is the first step in solving a one-step multiplication equation?

Back

Identify the coefficient of the variable and use division to isolate the variable.

Front

What is the first step in solving a one-step division equation?

Back

Identify the divisor of the variable and use multiplication to isolate the variable.