These lessons cover some examples and solutions for algebra word problems that you will commonly encounter in grade 8.

**Related Pages**

More Math Word Problems

Algebra Word Problems

How to write algebra word problems into systems of linear equations and solve systems of linear equations using elimination and substitution methods?

**Grade 8 Algebra Word Problems**

How to solve algebra word problems using systems of linear equations?

**Example:**

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 Algebra Word Problems - Line Segments**

**Example:**

If JK = 7x + 9, JL = 114 and KL = 9x + 9. Find KL.

**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?

**Example 1:**

The sum of two numbers is 361 and the difference between the two numbers is 173. What are the
two numbers?

**Example 2:**

There are 356 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? How many girls?

**Example 3:**

A family member has some five-dollar bills and one-dollar bills in their wallet. Altogether
she has 18 bills and a total of $62. How many of each bill does she have?

**Example 1:**

A friend bought 2 boxes of pencils and 8 notebooks for school and it cost him $11. He went back
to the store the same day to buy school supplies for his younger brother. He spent $11.25 on 3
boxes of pencils and 5 notebooks. How much would notebooks cost?

**Exercises:**

- 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 114. How many cows does the farmer have? How many chickens?
- 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 127". If the measure of angle x is 34° more than half the measure of angle y, what is the measure of each angle?

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