Grade 8 Math Word Problems Answer Key

Introduction to Grade 8 Math Word Problems

Math word problems are an essential part of the grade 8 math curriculum. These problems help students develop their critical thinking and problem-solving skills, as they learn to apply mathematical concepts to real-life situations. In this post, we will provide an answer key to some common grade 8 math word problems, covering topics such as algebra, geometry, and statistics.

Algebra Word Problems

Algebra is a significant component of grade 8 math, and word problems are an excellent way to practice algebraic concepts. Here are a few examples: * Tom has been saving money for a new bike and has 120 in his savings account. He wants to buy a bike that costs 180. If he saves 12 per week, how many weeks will it take him to have enough money to buy the bike? * A bookshelf has 5 shelves, and each shelf can hold 8 books. If the bookshelf is currently empty, how many books can be placed on it in total? * A bakery sells 250 loaves of bread per day. If they make a profit of 0.50 per loaf, how much profit do they make in a day?

📝 Note: To solve these problems, students need to use algebraic equations and formulas, such as linear equations and ratios.

Geometry Word Problems

Geometry is another crucial aspect of grade 8 math, and word problems help students understand geometric concepts in real-life contexts. Here are a few examples: * A rectangular garden measures 15 meters in length and 8 meters in width. What is the area of the garden? * A water tank can hold 1200 liters of water. If 300 liters of water are already in the tank, what percentage of the tank is filled? * A bicycle path is 2.5 kilometers long. If a cyclist rides at a speed of 10 kilometers per hour, how many minutes will it take them to complete the path?

Statistics Word Problems

Statistics is an essential part of grade 8 math, and word problems help students understand statistical concepts, such as mean, median, and mode. Here are a few examples: * A student scored 75, 80, 90, and 85 on four math tests. What is their average score? * A survey of 20 students found that 12 students like pizza, 8 students like sushi, and 5 students like both. What is the probability that a student likes pizza or sushi? * A set of exam scores has a mean of 70 and a range of 40. What is the highest possible score in the set?

Solutions to Word Problems

Here are the solutions to the word problems mentioned earlier: * Tom will need to save for 5 weeks to have enough money to buy the bike. * The bookshelf can hold 40 books in total. * The bakery makes a profit of $125 per day. * The area of the garden is 120 square meters. * The tank is 25% filled. * The cyclist will take 15 minutes to complete the path. * The student’s average score is 82.5. * The probability that a student likes pizza or sushi is 0.8. * The highest possible score in the set is 110.

Problem	Solution
Tom's savings	5 weeks
Bookshelf capacity	40 books
Bakery profit	$125 per day
Garden area	120 square meters
Tank percentage	25%
Cyclist time	15 minutes
Student average	82.5
Pizza or sushi probability	0.8
Highest possible score	110

In summary, grade 8 math word problems are an essential part of the math curriculum, covering topics such as algebra, geometry, and statistics. By practicing these problems, students can develop their critical thinking and problem-solving skills, which are crucial for success in math and other subjects. The solutions to these problems require the application of mathematical concepts, such as linear equations, ratios, and statistical formulas. By mastering these concepts, students can become proficient in solving word problems and develop a strong foundation in math.