One Step Multiplication Equations

Front

What is a one-step multiplication equation?

Back

A one-step multiplication equation is an equation that can be solved in a single step by dividing both sides by the same number to isolate the variable.

Front

How do you solve the equation 3x = 27?

Back

To solve 3x = 27, divide both sides by 3. Thus, x = 27 / 3 = 9.

Front

What does the equation 4b = 44 represent in a real-world context?

Back

The equation 4b = 44 represents a situation where a person earns $4 for each book read, and the total amount earned is $44. To find the number of books read (b), divide 44 by 4.

Front

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

Back

The first step is to divide both sides of the equation by 6 to isolate b. Thus, b = 30 / 6 = 5.

Front

How can you check if x = 9 is the correct solution for the equation 3x = 27?

Back

To check, substitute x = 9 back into the equation: 3(9) = 27. Since both sides are equal, x = 9 is correct.

Front

What is the solution to the equation 2n = 100?

Back

To solve 2n = 100, divide both sides by 2. Thus, n = 100 / 2 = 50.

Front

What principle is used to solve equations like 3.2x = 4.8?

Back

The principle used is to isolate the variable by performing the same operation on both sides of the equation, in this case, dividing both sides by 3.2.

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 relationship between multiplication and division in solving equations?

Back

Multiplication and division are inverse operations; dividing both sides of an equation by a number is the same as multiplying both sides by its reciprocal.

Front

How do you interpret the solution of an equation in a word problem?

Back

The solution of an equation in a word problem represents the answer to the question posed, often indicating a quantity or measurement relevant to the scenario.