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# Write A System Of Equations (Word Problems) Worksheet

## 8 problems   For 8th Grade and higher-level mathematics, writing a system of equations from a word problem is a fundamental skill of algebra. A system of equations is simply a set of two or more equations that must be solved together.

“Write a system of equations (word problems)” is designed to develop analyzing and interpreting skills of the students. In this worksheet, the students are asked to write the system of equations from a verbal description.

Systems Of Equations
8.EE.C.8.C

For example, if Jen has \$20,000 to invest in two different accounts. One account earns 4% interest per year and the other earns 6% interest per year. If Jen wants to earn a total of \$1,100 in interest per year, how much money should she invest in each account?

Solution:

Let x be the amount of money invested in the 4% account, and y be the amount of money invested in the 6% account.

The total amount invested is \$20,000.

x + y = 20,000

The total interest earned is \$1,100.

0.04x + 0.06y = 1,100

Therefore, the system of equations has two equations x + y = 20,000 and 0.04x + 0.06y = 1,100.

For example, if Jen has \$20,000 to invest in two different accounts. One account earns 4% interest per year and the other earns 6% interest per year. If Jen wants to earn a total of \$1,100 in interest per year, how much money should she invest in each account?

Solution:

Let x be the amount of money invested in ...

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