# Solving System Word Problems

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However, students who write carelessly may mistake a lower case L for a one, and an S for a 5. One student in my class selected "B" and "T" for "Big" and "Tiny," thus avoiding the issue altogether.

Sum of Two Fractions: This system can be solved by clearing the equations of fractions and then solving, or by carrying the fraction through the problem.

Strictly speaking, the age problem also has three unkowns: Bob's age, Bart's age, and Bart's age two years from now.

Students will hopefully see quickly that Bart's age in two years is 2 more than it is now.

In order to show an understanding of the problem you of course need to read the problem carefully.

Sounds simple enough, but some people jump the gun and try to start solving the problem before they have read the whole problem.Do whichever seems more suitable for your class, or show both ways of solving.Keep in mind that clearing the fractions causes it to no longer be a simple substitution problem.This is the simplest kind of system of equations to solve.In fact, many students will solve these kinds of problems without even thinking of it as a system of equations.The word problems in this section all involve setting up a system of linear equations to help solve the problem.Basically, we are combining the concepts from Tutorial 16: Formulas and Applications, Tutorial 49: Solving Systems of Linear Equations in Two Variables and Tutorial 50: Solving Systems of Linear Equations in Three Variables all rolled up into one tutorial.Bob and Bart's names were specifically chosen to force students to recognize that B can't be used as a variable for both, and another choice must be made for one of the boys.The shortest side of a triangle has length 16 inches. For this lesson, we require students to use two variables (or more), making these problems a nice transition from single-variable problems to systems problems.Each of these systems is easily solved using substitution.

## Comments Solving System Word Problems

• ###### Word Problems Involving Systems of Linear Equations
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Word Problems Involving Systems of Linear Equations. Many word problems will give rise to systems of equations --- that is, a pair of equations like this You can solve a system of equations in various ways. In many of the examples below, I'll use the whole equation approach.…

• ###### Systems word problems - d2ct263enury6r.
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Systems of Linear Equations Word Problems 1. At an ice cream parlor, ice cream cones cost \$1.10 and sundaes cost \$2.35. One day, the receipts for a total of 172 cones and sundaes were \$294.20. How many cones were sold? 2. You purchase 8 gal of paint and 3 brushes for \$152.50next day, you purchase 6 gal of paint and 2 brushes for \$113.00.…

• ###### Engaging Ideas for Teaching Systems of Equations Mrs. E.
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To be successful, students need to be very comfortable graphing equations of lines. Also, this would be a good introduction to systems of equations word problems. 11 - Solving Systems of Equations Puzzle - This hands-on puzzle gets students practicing elimination and substitution. Since this is self-checking, students don't practice incorrectly - they must ask for help if they don't find their answer.…

• ###### Systems of Equations Worksheets Math Worksheets
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Word Problems. Word Problems Worksheet 1 – This 6 problem algebra worksheet will help you practice solving real-life systems of equations problems using the “ substitution ” method. All of the coefficients and answers are positive integers. Word Problems Worksheet 1 RTF Word Problems Worksheet 1 PDF View Answers Word Problems Worksheet 2 –.…

• ###### Solving systems of equations word problems worksheet For all.
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Solving systems of equations word problems worksheet For all problems, define variables, write the system of equations and solve for all variables. The directions are from TAKS so do all three variables, equations and solve no matter what is asked in the problem. 1. A large pizza at Palanzio’s Pizzeria costs \$6.80 plus \$0.90 for each topping.…

• ###### Linear systems - word problems Free Math Worksheets
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When it comes to using linear systems to solve word problems, the biggest problem is recognizing the important elements and setting up the equations. Once you do that, these linear systems are solvable just like other linear systems.…

• ###### Solving System of Linear Equations Word Problems Worksheet
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Solving system of linear equations word problems worksheet Solving System of Linear Equations Word Problems Worksheet Worksheet given in this section will be much useful to the students who would like to practice solving word problems on system of linear equations.…

• ###### Solving Systems Word Problems. - Math Worksheets Land
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Joey is making tea for the soccer team. In the morning, he made 8 pots of green tea and 7 pots of black tea. This made a total of 134 cups of tea. In the evening, he made 12 pots of green tea and 7 pots of black tea, for a total of 166 cups of tea.…

• ###### Linear Systems Word Problems - Bullock Creek High School
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Linear Systems Word Problems Now that we have techniques for solving systems we can set up our word problems with two variables. If we use two variables we will need two equations.…