# Solving Problems With Equations Two step algebraic equations are relatively quick and easy -- after all, they should only take two steps.Example 1 – Walter and Helen are asked to paint a house.

Tags: Best Creative Writing Mfa CaliforniaCommon Apts EssayResearch Paper On High School DropoutsInternational AssignmentsFulbright Research ProposalProfessional Essays Racism

According to the question; Ron will be twice as old as Aaron. Complement of x = 90 - x Given their difference = 12°Therefore, (90 - x) - x = 12°⇒ 90 - 2x = 12⇒ -2x = 12 - 90⇒ -2x = -78⇒ 2x/2 = 78/2⇒ x = 39Therefore, 90 - x = 90 - 39 = 51 Therefore, the two complementary angles are 39° and 51°9. If the table costs \$40 more than the chair, find the cost of the table and the chair. Solution: Let the number be x, then 3/5 ᵗʰ of the number = 3x/5Also, 1/2 of the number = x/2 According to the question, 3/5 ᵗʰ of the number is 4 more than 1/2 of the number.

Solution: Let the breadth of the rectangle be x, Then the length of the rectangle = 2x Perimeter of the rectangle = 72Therefore, according to the question2(x 2x) = 72⇒ 2 × 3x = 72⇒ 6x = 72 ⇒ x = 72/6⇒ x = 12We know, length of the rectangle = 2x = 2 × 12 = 24Therefore, length of the rectangle is 24 m and breadth of the rectangle is 12 m. Then Aaron’s present age = x - 5After 4 years Ron’s age = x 4, Aaron’s age x - 5 4. Then the cost of the table = \$ 40 x The cost of 3 chairs = 3 × x = 3x and the cost of 2 tables 2(40 x) Total cost of 2 tables and 3 chairs = \$705Therefore, 2(40 x) 3x = 70580 2x 3x = 70580 5x = 7055x = 705 - 805x = 625/5x = 125 and 40 x = 40 125 = 165Therefore, the cost of each chair is \$125 and that of each table is \$165. If 3/5 ᵗʰ of a number is 4 more than 1/2 the number, then what is the number?

How long would it take Tom to do the job by himself?

This can be done by first multiplying the entire problem by the common denominator and then solving the resulting equation. Click Here for Practice Problems Example 3 – One pipe can fill a swimming pool in 10 hours, while another pipe can empty the pool in 15 hours.

Walter can paint the house by himself in 12 hours and Helen can paint the house by herself in 16 hours.

How long would it take to paint the house if they worked together?

Here is a graphic preview for all of the Word Problems Worksheets.

You can select different variables to customize these Word Problems Worksheets for your needs.

In this case, one pipe is filling the pool and the other is emptying the pool so we get the equation: Step 2: Solve the equation created in the first step.

This can be done by first multiplying the entire problem by the common denominator and then solving the resulting equation. Click Here for Practice Problems Example 4 – One roofer can put a new roof on a house three times faster than another. How long would it take the faster roofer working alone?

## Comments Solving Problems With Equations

• ###### Ways to Solve Two Step Algebraic Equations - wikiHow
Reply

Method 1 Solving Equations with One Variable 1. Write the problem. The first step to solving a two step algebraic equation is just to write. 2. Decide whether to use addition or subtraction to isolate the variable term. 3. Add or subtract the constant on both sides of the equation. 4. Eliminate.…

• ###### Quiz & Worksheet - Solving Word Problems with Linear.
Reply

Making connections - use your knowledge of linear equations to better understand how to translate word problems into this type of expression. Problem solving - use your acquired knowledge to solve linear equation practice problems. Information recall - access the knowledge that you've gained about percentages.…

• ###### Single Variable Equations on SAT Math Complete Strategies
Reply

Single variable equations will fall into two broad categories on the SAT--given equations and word problems. Word problems are by far the more common and you should expect to see one or two per test. Given equations, when they appear, will usually fall between problems 1-4 on any given math section.…

• ###### Practice Math Problems with Answers -
Reply

Even simple math problems become easier to solve when broken down into steps. From basic additions to calculus, the process of problem solving usually takes a lot of practice before answers could come easily. As problems become more complex, it becomes even more important to understand the step-by-step process by which we solve them.…

• ###### One-step equations - word problems Free Math Worksheets
Reply

Therefore, it is important that you feel comfortable using them. To master solving word problems with one-step equations, download the worksheets below and practice solving them on your own. One-step equations – word problems exams for teachers…

• ###### IXL - Solve linear equations word problems Algebra 1 practice
Reply

Improve your math knowledge with free questions in "Solve linear equations word problems" and thousands of other math skills.…

• ###### Translating Word Problems into Equations -
Reply

Site Navigation. Translating Word Problems into Equations. Most of the time when someone says “word problems” there is automatic panic. But word problems do not have to be the worst part of a math class. By setting up a system and following it, you can be successful with word problems.…

• ###### Solving Radical Equations - ChiliMath
Reply

Solving Radical Equations Learning how to solve radical equations requires a lot of practice and familiarity of the different types of problems. In this lesson, the goal is to show you detailed worked solutions of some problems with varying levels of difficulty.…