# Algebra Problem Solving Examples

We know there are seven days in the week, so: d e = 7 And she trains 27 hours in a week, with d 5 hour days and e 3 hour days: 5d 3e = 27 We are being asked for how many days she trains for 5 hours: d Solve: The number of "5 hour" days is 3 Check: She trains for 5 hours on 3 days a week, so she must train for 3 hours a day on the other 4 days of the week.

3 × 5 hours = 15 hours, plus 4 × 3 hours = 12 hours gives a total of 27 hours So Joel’s normal rate of pay is \$12 per hour Check Joel’s normal rate of pay is \$12 per hour, so his overtime rate is 1¼ × \$12 per hour = \$15 per hour.

Many of us are familiar with the word problem, but are we aware of the fact and problems related to variables and constants?

When we say 5 it means a number but what if we say x=5 or 5y or something like that?

If this had not been done for you, you might have written it like this:.

Since the direction asked for an expression, I don’t need an equal sign.If you're seeing this message, it means we're having trouble loading external resources on our website.If you're behind a web filter, please make sure that the domains *.and *.are unblocked.The Algebra Class E-course provides a lot of practice with solving word problems for every unit! if you have trouble with these types of problems, you can always find a step-by-step solution to guide you through the process! How long will it be before you and your sister have the same amount of money? Many students find solving algebra word problems difficult.Translating words to equations 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.They may involve a single person, comparing his/her age in the past, present or future.Check There are now 16 boys and 12 girls, so the ratio of boys to girls is 16 : 12 = 4 : 3 At the start of the year there were 20 boys and 10 girls, so the ratio was 20 : 10 = 2 : 1 Consecutive means one after the other.And they are even, so they could be 2 and 4, or 4 and 6, etc.It could also be a time when you are trying to figure out if you were over charged for a bill.This is important stuff - when it comes time to spend YOUR money - you are going to want to make sure that you are getting paid enough and not spending more than you have to. let's put all this newly learned knowledge to work.

## Comments Algebra Problem Solving Examples

• ###### Algebra Problems -
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Algebra problems with detailed solutions. Problem 1 Solve the equation 5- 3x - 2 - x - 3 = -44x + 5 + 13. Detailed Solution. Problem 2 Simplify the expression 2a -3 + 4b - 2a -b -3 + 5. Detailed Solution. Problem 3 If x 2, simplify x - 2 - 4-6 Detailed Solution. Problem 4 Find the distance between the points -4, -5 and -1, -1.…

• ###### Solving Equations - Math Is Fun
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Example solve for x 2xx − 3 + 3 = 6x − 3 x≠3 We have said x≠3 to avoid a division by zero. Let's multiply through by x − 3 2x + 3x−3 = 6. Bring the 6 to the left 2x + 3x−3 − 6 = 0. Expand and solve 2x + 3x − 9 − 6 = 0. 5x − 15 = 0. 5x − 3 = 0. x − 3 = 0 That can be solved by having x=3. Let us check…

• ###### Algebra Word Problems - Basic mathematics
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Below are more complicated algebra word problems Example #6 The ratio of two numbers is 5 to 1. The sum is 18. What are the two numbers? Solution Let x be the first number. Let y be the second number x / y = 5 / 1 x + y = 18 Using x / y = 5 / 1, we get x = 5y after doing cross multiplication Replacing x = 5y into x + y = 18, we get 5y + y = 18 6y = 18 y = 3…

• ###### Math Problem Solving Strategies - Basic mathematics
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Math problem solving strategies could also make use of a variable. Example #4 The use of a variable means that you will let the unknown be x, write and equation, and solve the equation.…

• ###### Sample Math 101 Test Problems
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Sample Problems From Intermediate Algebra. Sample problems are under the links in the "Sample Problems" column and the corresponding review material is under the "Concepts" column. New problems are given each time the problem links are followed. A student can feel mathematically ready to attend College if he or she can get at least 33 out of the 36 problems correct.…

• ###### Math Problem Solving Strategies solutions, examples, videos
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The following video shows more examples of using problem solving strategies and models. Question 2 The table shows the number of seats in each of the first four rows in an auditorium. The remaining ten rows follow the same pattern. Find the number of seats in the last row.…

• ###### Word problems - A complete course in algebra
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WORD PROBLEMS. Examples. Problems. W ORD PROBLEMS require practice in translating verbal language into algebraic language. See Lesson 1, Problem 8. Yet, word problems fall into distinct types. Below are some examples. Example 1. ax ± b = c. All problems like the following lead eventually to an equation in that simple form. Jane spent \$42 for shoes.…

• ###### Problem Solving Skills Definition, Steps, and Examples
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The five primary steps in problem solving are 2. Generating a set of alternative interventions to achieve your end goal required skills Brainstorming, Creative Thinking, Prediction, Forecasting, Project Design, Project Planning Examples Brainstorming Solutions, Developing Treatment Plans, Devising and Testing Hypotheses 3.…