If they have 15 students each for one hour per week how much profit do they make together in a month?

Grade 8 Algebra Word Problems How to solve algebra word problems using systems of linear equations? Devon is going to make 3 shelves for her father. He has a piece of lumber 12 feet long. She wants the top shelf to be half a foot shorter than the middle shelf, and the bottom shelf to be half a foot shorter than twice the length of the top shelf.

How long will each shelf be if she uses the entire 12 feet of wood? Grade 8 number word problems - common core How to write word problems into systems of linear equations and solve systems of linear equations using elimination and substitution methods?

The sum of two numbers is and the difference between the two numbers is What are the two numbers? There are Grade 8 students at Euclid's Middle School. Thirty-four more than four times the number of girls is equal to half the number of boys. How many boys are in Grade 8 at Euclid's Middle School?

A family member has some five-dollar bills and one-dollar bills in their wallet. How many of each bill does she have? He went back to the store the same day to buy school supplies for his younger brother. How much would notebooks cost?

A farm raises cows and chickens. The farmer has a total of 42 animals. One day he counts the legs of all of his animals and realizes he has a total of How many cows does the farmer have? The length of a rectangle is 4 times the width. The perimeter of the rectangle is 45 inches.

What is the area of the rectangle? The sum of the measures of angles x and y is ". Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.Overview. Eigenvalues and eigenvectors feature prominently in the analysis of linear transformations. The prefix eigen-is adopted from the German word eigen for "proper", "characteristic".

Originally utilized to study principal axes of the rotational motion of rigid bodies, eigenvalues and eigenvectors have a wide range of applications, for example . The first part of Algebra 1 is focused on real numbers, absolute value, equations/formulas, graphing and writing linear equations to including graphing absolute value functions.

The next part of the course deals with functions and relations and solving quadratic equations. Note that Using Systems to Solve Algebra Word Problems can be found here in the Systems of Linear Equations and Word Problems section.

Now that you can do these difficult algebra problems, you can trick your friends by doing some fancy word problems; these are a lot of fun. We have the original number (20) and the comparative number (30).The unknown in this problem is the rate or percentage.

Since the statement is "(thirty) is (some percentage) of (twenty)", then the variable stands for the percentage, and the equation is. CHAPTER 2 WORD PROBLEMS Therefore Henry solved 16 and Frank solved 4 times 16 of 64 problems.

EXAMPLE The second of two numbers is two less than three times the first. Find the numbers if there sum is Henry solved a certain number of algebra problems in an hour, but his older brother Frank solved 3. Students learn to solve number and value word problems using a system of linear equations, as demonstrated in the following problem.

Rodolfo has a total of 17 dimes and quarters worth $

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Solving Equations