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Algebra Word Problems

Algebra Word Problems

These lessons look at solving Grade 6 algebra word problems by writing equations and expressions that matches the situation? The following are some examples and solutions for algebra word problems that you will commonly encounter in Grade 6.

Printable & Online Algebra Worksheets

**Grade 6 Algebra Word Problems**

How to write one-step equations for grade 6 algebra word problems?

**Example 1:**

Anna wants to celebrate her birthday by eating pizza with her friends. For $42.50 total,
they can buy p boxes of pizza. Each box of pizza costs $8.50.

Write an equation that matches the situation.

**Example 2:**

Mr. Herman’s class is selling candy for a school fundraiser. The class has a goal of
raising $500 by selling c boxes of candy. Foe every box they sell, they make $2.75.

Write an equation that the students could solve to figure out how many boxes of candy they need to sell.

**Grade 6 Algebra Word Problems**

How to write algebraic expressions from word problems?

**Example 1:**

The price of a visit to the dentist is $50. If the dentist fills any cavities, an additional charge
of $100 per cavity gets added to the bill

If the dentist finds v cavities, what will the cost of the visit be? Write your answer as an expression.

**Example 2:**

Sunny earns $12 per hour delivering cakes. She worked for x hours this week. Unfortunately, she was
charged $15 for a late delivery on Tuesday.

How much money did Sunny earn this week? Write your answer as an expression.

**Example 3:**

There are c players on the Cougars hockey team. The team scored a total of 36 goals this season.
One of the players, Matthew, scored 2 more goals than the average per player.

How many goals did Matthew score? Write your answer as an expression.

**Example 4:**

Hannah has 127 books in her collection. Her school is hosting a book donation. There are z
students at her school, and they each plan to donate the same amount of books and reach a
total donation of 300 books.

How many books will Hannah have in her collection after her donation. Write your answer as an expression.

**Grade 6 Algebra Word Problems - Rate, Distance, Time**

**Example 1:**

Suzie ran a race. She ran 5 miles per hour, and the race took t hours to complete.

How long was the race? Write your answer as an expression.

**Example 2:**

The Running Aces card team won $548 playing in poker tournaments last year. The winnings
were split among the p players.

How much money did each player receive? Write your answer as an expression.

**Example 3:**

Phil received a prize of x dollars from a poker tournament. The tournament cost him 100 dollars to enter.

What were Phil’s net winnings from the tournament? Write your answer as an expression.

**Example 4:**

Hillary made 48 chocolate chip cookies and y sugar cookies

How many total cookies did Hillary make? Write your answer as an expression.

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

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