Word Problems Systems of Equations, Exercises of Linear Algebra

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Word Problems

Systems of Equations

Most word problems require that you find the value of one variable. But, what if there is more than one unknown variable? For every unknown variable, you will need one equation. So if there are two unknowns, you need two equations. Therefore, you will use systems of equations to solve word problems that have more than one unknown value.

The length of a rectangle is equal to triple the width. Which system of equations can be used to find the dimensions of the rectangle if the perimeter is 86 centimeters?

The sum of twice a number and 4 times another number is 4. The first number decreased by the second number is 5. Find the numbers.

Assignment:

1) Systems of Equations Word

Problems # 1 7

2) DESMOS Assignment (if not

completed)

3) ANY MAKEUP WORK

student.desmos.com WH5GC

Systems of Equations Word Problems For each system of equations, define your variables, write a system of equations, and solve. You may solve using the Desmos calculator. Make sure to interpret your results (ex: there were 7 student tickets sold and 12 adult tickets sold, etc.).

1. A used book store also started selling used CDs and videos. In the first week, the store sold a combination of 40 CDs and videos. They charged $4 per CD and $6 per video and the total sales were $180. Determine the total number of CDs and videos sold. Variables: System of Equations: Solution: