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solve two step equations word problems calculator

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Our math problem solver that lets you input a wide variety of math math problems and it will provide a step by step answer. This math solver excels at math word problems as well as a wide range of math subjects.

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Here are example math problems within each subject that can be input into the calculator and solved. This list is constanstly growing as functionality is added to the calculator.

Basic Math Solutions

Below are examples of basic math problems that can be solved.

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Math Word Problem Solutions

Math word problems require interpreting what is being asked and simplifying that into a basic math equation. Once you have the equation you can then enter that into the problem solver as a basic math or algebra question to be correctly solved. Below are math word problem examples and their simplified forms.

Word Problem: Rachel has 17 apples. She gives some to Sarah. Sarah now has 8 apples. How many apples did Rachel give her?

Simplified Equation: 17 - x = 8

Word Problem: Rhonda has 12 marbles more than Douglas. Douglas has 6 marbles more than Bertha. Rhonda has twice as many marbles as Bertha has. How many marbles does Douglas have?

Variables: Rhonda's marbles is represented by (r), Douglas' marbles is represented by (d) and Bertha's marbles is represented by (b)

Simplified Equation: {r = d + 12, d = b + 6, r = 2 × b}

Word Problem: if there are 40 cookies all together and Angela takes 10 and Brett takes 5 how many are left?

Simplified: 40 - 10 - 5

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  • Limits and an Introduction to Calculus

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Below are examples of Calculus math problems that can be solved.

  • Evaluating Limits
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  • Parametric Equations and Polar Coordinates
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Below are examples of Finite Math problems that can be solved.

  • Polynomials and Expressions
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Linear Algebra Solutions

Below are examples of Linear Algebra math problems that can be solved.

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  • Electricity
  • Thermodymanics

Geometry Graphing Solutions

Below are examples of Geometry and graphing math problems that can be solved.

  • Step By Step Graphing
  • Linear Equations and Functions
  • Polar Equations

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solve two step equations word problems calculator

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  • 7=\frac{1}{4}x
  • \frac{x}{10}-\frac{4}{5}=6
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2 Step Equation Calculator + Online Solver With Free Steps

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What Is a 2-Step Equation Calculator?

Golden rule to solve 2 step equations, important notes on 2-step equations.

These equations are slightly more challenging than one-step equations . We must carry out the operation on both sides of the equals to sign when solving a two-step equation.

In general, when solving an equation, we constantly bear in mind that the equation must remain balanced, thus whatever operations that are performed on one side of the equation should also be performed on the opposite side.

A 2-step equation is said to be fully solved if the variable, which is typically represented by a letter of the alphabet, is isolated on one side of the equation (either the left or right side), and the number is found on the other side.

2 step equation calculator

The two-step equations calculator is an online solver that aids in determining the value of the variable in a given linear equation.

The Online Two-Step Equations Calculator allows you to quickly determine the variable value for a given equation.

An equation written in one variable, two variables, or more is referred to as a linear equation. The variable and a constant will be linearly combined in this equation. Another name for this is a one-degree equation .

A linear equation with one variable has the conventional form Ax + B = 0.

How To Use a 2-Step Equation Calculator

You can use the 2 Step Calculator by following the given detailed step-by-step instructions, and the calculator will provide you with the correct results. You can follow the instructions below to get the value of the variable for the given equation.

Fill in the provided input boxes with the coefficients of A, B, and C.

Click on the “SUBMIT”  button to determine the value of the variable for a given equation and also the whole step-by-step solution for the 2-step equation will be displayed.

As we have mentioned in the article that this calculator can only solve a linear equation with one variable. Multivariable equations like quadratic equations can not be solved using this calculator.

How Does 2 Step Equation Calculator Work?

The 2-Step Calculator works by providing a simplified solution to the problem at hand. It only takes two steps to solve two-step equations using 2 Step Calculator . The two-step equation has one variable and is linear. We must carry out exact similar operations on both sides of the equation when computing a two-step problem. To calculate the value of x or variable on one side of the equation, we separate it.

Two-step equations typically have the formula ax + b = c, where a, b, and c are all real values.

Here are a few instances of two-step equations:

5x + 8 = 18

0.5y + 5 = 5.5

$\frac{4}{3}$ . z – 12 = 0

Depending on the sequence of operations , there are many methods for solving two-step equations. In a two-step equation, the following steps are the most typical case:

  • First, get rid of addition and subtraction by adding or removing from both sides.
  • To isolate the variable, multiply and divide on both sides.
  • By replacing the variable’s value, you may verify the result.

Sometimes it may be required to multiply or divide all sides of an equation before adding or subtracting.

Typically, when solving an equation, we follow the Law of Equations , which states that for an equation to stay balanced, whatever needs to be done on the right-hand side (RHS) of an equation must also be done on the left-hand side (LHS).

The main principle for solving two-step equations is to carry out all operations on both sides of the problem at once.

The final solution of the two-step equation is obtained by first adding or subtracting on both sides of the equation, followed by multiplying or dividing into both sides, to isolate the variable on one side of the equation and ascertain its value.

  • To make the two-step equation simpler on either side, remove the parentheses and group like terms together.
  • Always start with  removing the constant by the appropriate amount, either by adding or subtracting.
  • Always double-check the result at the end.

Solved Examples

Let’s explore some examples to have a clearer understanding of how the  2-step calculator works.

Determine the solution of the two step equation $\frac{x}{6}$ – 7 = 11.

To solve this problem, keep in mind that the goal is to determine the value of the variable that makes the expression an identity.

This is accomplished by taking away terms and numbers up until the equation is reduced to the form x equals a number.

To solve the above two-step equation, the steps discussed in the article will be used.

Adding 7 on both sides of the given two-step equation

$\frac{x}{6}$ – 7 + 7 = 11 + 7

$\Rightarrow \frac{x}{6}$ = 18

Multiplying 6 on both sides of the equation.

6 x $\frac{x}{6}$ = 6 x 18

$\Rightarrow$ x = 108

Hence the solution to the given two step equation $\frac{x}{6}$ – 7 = 11 is x = 108.

Cross Check

It’s usually a good idea to double-check the answer once a solution is finished to make sure you didn’t make any mistakes. Take the original equation and substitute the value you discovered for x to see if your solution is correct. Make sure the values on both sides of the equation match up after that. For the equation we just solved, let’s give that a try:

Substituting the value of x in the given equation.

\[\frac{x}{6} – 7 = 11 \Rightarrow x = 108\]

\[\frac{108}{6} – 7 = 11\]

This is a true statement that demonstrates the equality of the expression on both sides of the equation. As a result, the equation’s answer is x = 108.

Determine the solution of the two step equation \[\frac{2}{3}\cdot z + 0.8 = 1.5\]

To solve this problem the goal is the same as in example 1 i.e., to determine the value of the variable that makes the expression an identity.

This goal will be achieved by taking adding and subtracting terms until the equation is reduced to the form z equals a number.

Subtracting 0.8 from both sides of the equation.

$\frac{2}{3}$ . z + 0.8 – 0.8 = 1.5 – 0.8

$\Rightarrow \frac{2}{3}$ . z = 0.7

Multiplying $\frac{3}{2}$ on both sides of the equation.

\[\frac{3}{2} \cdot \frac{2}{3}\cdot z  = \frac{3}{2} \times 0.7\]

$\Rightarrow$ z = 1.05

As a result, the answer to the provided two-step problem $\frac{2}{3}$ . z  + 0.8 = 1.5 is  z = 1.05

Substituting the value of z in the given equation.

\[\frac{2}{3}\cdot z + 0.8 = 1.5\]

\[\frac{2}{3}\cdot z + 0.8 = 1.5  \Rightarrow z = 1.05\]

\[\frac{2}{3}\cdot 1.05 + 0.8 = 1.5\]

0.7 + 0.8 = 1.5

This is a true statement demonstrating the equality of the expression on both sides of the equation. As a result, the equation’s answer is z = 1.05.

Determine the solution of the two step equation 0.5y + 5 = 5.5.

To solve the above two step equation, steps discussed in the article will be used.

Subtracting 5 from both sides of the equation.

0.5y + 5 -5 = 5.5 – 5 $\Rightarrow $ 0.5y= 0.5

Dividing 0.5 on both sides of the equation.

\[\frac{0.5y}{0.5} = \frac{0.5}{0.5} \]

$\Rightarrow$ y = 1 

As a result, the answer to the provided two-step 0.5y + 5 = 5.5 is  y = 1

Substituting the value of y in the given equation.

0.5y + 5 = 5.5 $\Rightarrow$ y = 1 

0.5 x 1+5 =5.5

0.5 + 5.0 = 5.5

This is a true statement demonstrating the equality of the expression on both sides of the equation. As a result, the equation’s answer is y = 1.

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  1. Solving Two-Step Equations (solutions, examples, videos)

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  2. Write and Solve One-Step Equations with Word Problems by Math with Mrs Gooch

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  3. 2 Step Equations Word Problems Worksheet

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  4. 33 Two Step Equations In Words Worksheet Answers

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