math word problems grade 9 worksheets

Grade 9 Algebra Word Problems

Related Pages Grade 8 Algebra Word Problems Algebra Word Problems Solving Equations More Algebra Lessons

These lessons cover grade 9 algebra word problems involving age, distance, rate, time and coins with examples and step-by-step solutions. It includes various examples and solutions for algebra word problems that you will commonly encounter in 9th grade.

Age Word Problems

Age Problems with two unknowns or variables

Example: Taylor is five times as old as Spenser. The sum of their ages is eighteen. How old are Taylor and Spencer?

Solution: Let x represent Spenser’s age Therefore, Taylor’s age is 5x x + 5x = 18 6x = 18 x = 3 Therefore, Spenser is 3 years old and Taylor is 15 years old.

Grade 9 Algebra Word Problems - Age

Example 1: A mother is three times as old as her daughter. Six years ago, the mother’s age was six tines that of her daughter. How old are they now?

Solution: Let x represent the daughter’s age. Therefore, 3x is the mother’s age. 6(x - 6) = 3x - 6 6x - 6 = 3x - 6 3x = 30 x = 10 Therefore, the daughter’s is 10 years old and the mother is 30 years old.

Example 2: A father is now three times as old as his son. Eight years ago, the father was five times as old as his son. How old are they now?

Rate, Distance, Time Word Problems

Grade 9 Algebra Word Problems - Rate, Distance, Time

Example: A bus leaves the terminal and averages 40 km/hr. One hour late, a second bus leaves the same terminal and averages 50 km/hr. In how many hours will the second bus overtake the first?

Grade 9 Rate, Distance, Time Word Problems

Example 1: One motorist travels 5 km.hr faster than another. They leave from the same place and travel in opposite directions. What is the rate of each if they are 195 km apart after 3 hours?

Example 2: A pilot flew from airport A to airport B at a rate of 100 km/hr and flew back from airport B to airport A at 120 km/hr. The total time it took was 11 hours. How far is it from airport A to airport B?

Coin Word Problems

Grade 9 Algebra Word Problems - Coins

Example: A coin collection amounting to $25 consists of nickels and dimes. There are 3 times as many nickels and dimes. There are 3 times as many nickels as dimes. How many coins of each kind are there?

Solution: Let x = number of dimes 3x = number of nickels 10x + 5(3x) = 2500 25x = 2500 x = 100 Therefore, there are 100 dimes and 300 nickels.

Grade 9 Coin Algebra Word Problems

Example: Mr. Rogers has $4.62. He has 3 times as many dimes as nickels and 6 more pennies than dimes. How many coins of each kind does he have?

Coin Algebra Word Problems - Grade 9

Example: Bob has in his pocket a number of pennies, 5 times as many nickels as pennies and 5 more quarters than pennies. The coins amount to $2.27. Find the number of each kind of coin.

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Math worksheets for Grade 9 are an essential resource for teachers to help their students master the various mathematical concepts and skills required at this level. These worksheets cover a wide range of topics, including algebra, geometry, trigonometry, and statistics, providing ample practice for students to build a strong foundation in mathematics. Teachers can use these worksheets to supplement their lesson plans, assign as homework, or provide additional practice for struggling students. With a variety of question types and difficulty levels, Grade 9 math worksheets cater to the diverse learning needs of students, ensuring that they are well-prepared for the challenges of high school mathematics.

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Math Word Problems

Welcome to the math word problems worksheets page at Math-Drills.com! On this page, you will find Math word and story problems worksheets with single- and multi-step solutions on a variety of math topics including addition, multiplication, subtraction, division and other math topics. It is usually a good idea to ensure students already have a strategy or two in place to complete the math operations involved in a particular question. For example, students may need a way to figure out what 7 × 8 is or have previously memorized the answer before you give them a word problem that involves finding the answer to 7 × 8.

There are a number of strategies used in solving math word problems; if you don't have a favorite, try the Math-Drills.com problem-solving strategy:

• Question : Understand what the question is asking. What operation or operations do you need to use to solve this question? Ask for help to understand the question if you can't do it on your own.
• Estimate : Use an estimation strategy, so you can check your answer for reasonableness in the evaluate step. Try underestimating and overestimating, so you know what range the answer is supposed to be in. Be flexible in rounding numbers if it will make your estimate easier.
• Strategize : Choose a strategy to solve the problem. Will you use mental math, manipulatives, or pencil and paper? Use a strategy that works for you. Save the calculator until the evaluate stage.
• Calculate : Use your strategy to solve the problem.
• Evaluate : Compare your answer to your estimate. If you under and overestimated, is the answer in the correct range. If you rounded up or down, does the answer make sense (e.g. is it a little less or a little more than the estimate). Also check with a calculator.

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Addition Word Problems

Have 'total' fun by adding up a wide range of addends displayed in these worksheets! Simple real-life scenarios form the basis of these addition word problem worksheets.

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What do Khan Academy’s interactive math worksheets look like?

Here’s an example:

What are teachers saying about Khan Academy’s interactive math worksheets?

“My students love Khan Academy because they can immediately learn from their mistakes, unlike traditional worksheets.”

Is Khan Academy free?

Khan Academy’s practice questions are 100% free—with no ads or subscriptions.

What do Khan Academy’s interactive math worksheets cover?

Our 100,000+ practice questions cover every math topic from arithmetic to calculus, as well as ELA, Science, Social Studies, and more.

Is Khan Academy a company?

Khan Academy is a nonprofit with a mission to provide a free, world-class education to anyone, anywhere.

Want to get even more out of Khan Academy?

Then be sure to check out our teacher tools . They’ll help you assign the perfect practice for each student from our full math curriculum and track your students’ progress across the year. Plus, they’re also 100% free — with no subscriptions and no ads.

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Maths Problems with Answers - Grade 9

Grade 9 maths problems with answers are presented. Solutions and detailed explanations are also included.

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Word Problems Grade 9

Displaying top 8 worksheets found for - Word Problems Grade 9 .

Some of the worksheets for this concept are Fraction word problems, Fraction multiplication word problems, Word problem practice workbook, 501 math word problems, Percent word problems, Solving proportion word problems, Two step word problems, The pythagorean theorem date period.

Found worksheet you are looking for? To download/print, click on pop-out icon or print icon to worksheet to print or download. Worksheet will open in a new window. You can & download or print using the browser document reader options.

1. Fraction word problems -

2. fraction multiplication word problems -, 3. word problem practice workbook, 4. 501 math word problems -, 5. percent word problems, 6. solving proportion word problems, 7. two-step word problems, 8. the pythagorean theorem date period.

• Kindergarten
• Greater Than Less Than
• Measurement
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Word Problems Grade 9

Word Problems Grade 9 - Displaying top 8 worksheets found for this concept.

Some of the worksheets for this concept are Fraction word problems, Fraction multiplication word problems, Word problem practice workbook, 501 math word problems, Percent word problems, Solving proportion word problems, Two step word problems, The pythagorean theorem date period.

Found worksheet you are looking for? To download/print, click on pop-out icon or print icon to worksheet to print or download. Worksheet will open in a new window. You can & download or print using the browser document reader options.

1. Fraction word problems -

2. fraction multiplication word problems -, 3. word problem practice workbook, 4. 501 math word problems -, 5. percent word problems, 6. solving proportion word problems, 7. two-step word problems, 8. the pythagorean theorem date period.

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Grade 9 Canada School Math Word Problems

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Subtract across zero word problems grade 4

Cynthia Smith

Subtract across zero word problems

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