Algebra problem solving with steps

On this page, you will find Math word and story problems worksheets with single- and multi-step solutions on a variety of math topics including addition, multiplication, subtraction, division and other math topics. It is usually a good idea to ensure students already have a strategy or two in place to complete the math operations involved in a particular question. There are a number of strategies used in solving math word problems; if you don't have a favorite, try the Math-Drills.

Algebra problem solving with steps

Solving two-step equations Video transcript We have the equation negative 16 is equal to x over 4, plus 2. And we need to solve for x. So we really just need to isolate the x variable on one side of this equation, and the best way to do that is first to isolate it-- isolate this whole x over 4 term from all of the other terms.

And the best way to get rid of that 2 is to subtract it. But if we want to subtract it from the right-hand side, we also have to subtract it from the left-hand side, because this is an equation. If this is equal to that, anything we do to that, we also have to do to this.

So you subtract 2 from the right, subtract 2 from the left, and we get, on the left-hand side, negative 16 minus 2 is negative And then that is equal to x over 4.

Try for free - download How to recognize some common types of algebra word problems and how to solve them step by step: Age Problems usually compare the ages of people.
What others are saying: Students will be able to use addition and subtraction to solve word problems. Introduction 10 minutes Create a scenario to introduce the concept of word problems.
Think About It To do this, you have to multiply in the following way: Just remember when you put matrices together with matrix multiplication, the columns what you see across on the first matrix have to correspond to the rows down on the second matrix.
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And so we have negative 18 is equal to x over 4. And our whole goal here is to isolate the x, to solve for the x. So we can multiply that by 4, but once again, this is an equation. Anything you do to the right-hand side, you have to do to the left-hand side, and vice versa.

So if we multiply the right-hand side by 4, we also have to multiply the left-hand side by 4.

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So we get 4 times negative 18 is equal to x over 4, times 4. The x over 4 times 4, that cancels out. And on the other side, 4 times negative So 18 times 4.

If we were to multiply 18 times 4, 4 times 8 is So x is equal to negative And if we want to check it, we can just substitute it back into that original equation.

So this right-hand side simplifies to negative 72 divided by 4. We already know that that is negative So this is equal to negative 18 plus 2. This is what the equation becomes.

algebra problem solving with steps

So it all comes out true. This right-hand side, when x is equal to negative 72, does indeed equal negative Solving equations.

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Algebra I. Solving equations. Legend (Opens a modal) Two-steps equations intro. Two-step equation word problems.

Linear equations with variables on both sides. Two-step equation word problem: computers (Opens a modal) Two-step equation word problem: garden.

Introduction to Problem Solving: The Five−Step Strategy1 1. Familiarize yourself with the problem. 2.

algebra problem solving with steps

Translate to mathematical language. State the answer clearly. The First Step in Problem Solving with Algebra To familiarize yourself with the problem: 1. If the problem is written, read it carefully.

Then read it again, perhaps aloud. Mathway’s math solver is an excellent tool to check your work for free. Just type in the math problem using its prescribed syntax and it will give you the correct answer. If you want to see how Mathway solves the problem step by step, you can click “ Tap to view steps ” to redirect you to the developer’s website for a modest subscription fee which in return, I will receive some compensation.

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Opposites. When solving equations in algebra, doing the opposite operation is usually required. One way to keep your equation balanced is to move things around by doing the opposite because you have to undo operations that have been done to the variable.

The opposite of an operation is one way to move things around in an equation. You can step by step solve your algebra problems online - equations, inequalities, radicals, plot graphs, solve polynomial problems. If your math homework includes equations, inequalities, functions, polynomials, matrices this is the right trial account.

Explaining How to Solve Equations Worksheets