Solving Multiplication and Division Equations Worksheets
At this level we begin to take baby steps towards working with full blown algebra. This is a great topic to help you start to take the steps in the right direction. We will work on completing equations that have a missing variable. The most common missing variable used in algebra is x, but at this level we will just refer to it as blank. We walk students through it visually and work you through problems that contain either multiplication or division. Everything is present in single step algebra form to help lead students in the right direction. We have a ton of algebra worksheets for all levels, but these sheets are focused solely on the foundational learning. We reinforce the concept that these two operations can be used to counterbalance equations that have unknowns. This selection of worksheets and lessons will provide you a great resource to reinforce these concepts.
Aligned Standard: Grade 3 Operations - 3.OA.4
- Doughnut Boxes Step-by-step Lesson- Who knew that you could cram that many doughnuts into a box?
- Guided Lesson - Sorry I focused a bit too much on division in this lesson. I'll get a product based sheet to follow.
- Guided Lesson Explanation - This one is really spread out well. It leads us to algebra situations.
- Practice Worksheet - This is a real random assortment of problems for you. All have an ending product or quotient though.
- Matching Worksheet - Match the missing part of the equation to the quotient or multiplication problems.
- Answer Keys - These are for all the unlocked materials above.
See if you like the critical thinking question built into every homework.
- Homework 1 - Sam is filling the boxes. He can fill 4 boxes in 1 minute. How long will it take him to fill 20 boxes?
- Homework 2 - How many groups of 2 are 10. There are 2 visual questions and then 8 straight up operational problems.
- Homework 3 - Farmer Bill plans to plant 20 regions of his field with corn. Using the diagram he made below.
These are more geared for repetition and repeat learning.
- Practice 1- Complete all the problems. This can be used for a classroom wide practice page.
- Practice 2- These are more math focused operations problems. The problems also use larger values.
- Practice 3- Match the column A to column B. A nice way to end this practice series.
Math Skill Quizzes
Everything is mixed in here for a quality quiz experience.
- Quiz 1- If you were to break the ice cream into 4 even piles, how many ice creams would be in each pile?
- Quiz 2- If you evenly have 42 student in 6 classes. How many students are in each class?
How to Solve Equations that Involve Multiplication or Division
Equations seem intimidating, and if they have more complicated operations (multiplication and division) in them, they look even scarier. As compared to other simple equations, those that involve multiplication and division are a little bit complex. But there is always a way if there is a will to learn. Let’s find out how we can solve such equations.
The basic idea in mathematics is to maintain equality always. It does not matter which math operations are involved. We always do the same thing on the other side of the equation as what you chose to do on one side. What ever you do one side of the equal sign, you must do on the other.
Multiplication Example: If 2x = 6, what does x =?
To solve this multiplication equation we must get the unknown variable (x) by itself. To achieve this we must move the 2 to the other side of the equation. Since x is being multiplied by 2, we can remove the 2 by dividing 2x by 2. If we do this to the left side, we must also do this to the right side of the equation and divide 2 into 6. You get the answer, which is 3. That is the value of x.
Division Example: y/5 = 2, find y?
To solve this division equation, we need to get the variable (y) by itself. In this case it is being divided by 5. We can undo this by multiplying both sides by 5. 5 times y/5 just leaves us with y by itself. We must do the same thing (multiply by 5) to the right side as well. So we multiply 5 by 2, you will get the answer of 10.
To solve more complex equations, remember to do it step by step and apply the opposite operations to counterbalance these things as you need. They are not difficult as long as you think through them before completing them.