Grade 9 Algebra Word Problems
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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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Free Printable algebra Worksheets for 9th Year
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Algebra worksheets for Year 9 are essential resources for teachers who want to provide their students with a comprehensive understanding of algebraic concepts and applications. These worksheets cover a wide range of topics, including linear equations, quadratic functions, systems of equations, and polynomials, all of which are crucial for building a strong foundation in mathematics. Teachers can utilize these worksheets to supplement their lesson plans, provide additional practice for students who may be struggling with certain concepts, or even as a form of assessment to gauge students' progress throughout the school year. By incorporating algebra worksheets for Year 9 into their curriculum, teachers can ensure that their students are well-prepared for the challenges of higher-level math courses.
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Year 9 Algebra
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A series of problem solving questions for lower ability year 9
Subject: Mathematics
Age range: 7-11
Resource type: Game/puzzle/quiz
Last updated
12 September 2018
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These are a series of problems from a variety of freely shared resources, or self written. They are aimed at low ability yr 9, but some are taken from KS2 problems also. They are linked to topics and I use them as starters. I started this as a project and found that it increased pupils confidence in class and on exam papers. I do them on whiteboards so there is no concerns about having wrong answers in their books. Many thanks to all who post problems and share freely.
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A nice collection of questions to encourage pupils to problem solve using simple topics. Thank you :)
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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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Algebra questions, for grade 9, related to solving equations, simplifying expressions and finding slopes are presented along with their answers. ... Solve for x the following linear equations. 2x = 6 6x - 8 = 4x + 4 4(x - 2) = 2(x + 3) + 7 0.1 x - 1.6 = 0.2 x + 2.3 ... Math Word Problems with Answers - Grade 9; Free Algebra Questions and ...
Matrix has helped thousands of students get to grips with algebra over the past 19 years. In this article, we guide you through the core Year 9 Algebraic techniques and equations and give you some checkpoint questions to test your knowledge.
Therefore, Spenser is 3 years old and Taylor is 15 years old. Show Video Lessons. 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.
The Algebra 1 course, often taught in the 9th grade, covers Linear equations, inequalities, functions, and graphs; Systems of equations and inequalities; Extension of the concept of a function; Exponential models; and Quadratic equations, functions, and graphs. Khan Academy's Algebra 1 course is built to deliver a comprehensive, illuminating, engaging, and Common Core aligned experience!
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Algebra (all content) 20 units · 412 skills. Unit 1 Introduction to algebra. Unit 2 Solving basic equations & inequalities (one variable, linear) Unit 3 Linear equations, functions, & graphs. Unit 4 Sequences. Unit 5 System of equations. Unit 6 Two-variable inequalities. Unit 7 Functions. Unit 8 Absolute value equations, functions, & inequalities.
Multi-step word problems. IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)!
We write xy instead of x. × write 4x for 4 × x. We never write the multiplying number after the unknowns: x × 6 = 6x (never x6). It is more normal to write any divisions as a fraction. We write for x ÷ 2. There is no need to put a leading "1" in front of a term. We write xy rather than 1xy. y , and we.
Factorising expressions containing powers worksheet (with solutions) Five worksheets for Year 9 students on the following topics: Algebra. Expanding brackets. Expanding brackets and factorising. Expanding the product of two brackets. Factorising expressions containing powers. Detailed solutions are included. Tes paid licence How can I reuse this?
Explore printable algebra worksheets for 9th Year. Algebra worksheets for Year 9 are essential resources for teachers who want to provide their students with a comprehensive understanding of algebraic concepts and applications. These worksheets cover a wide range of topics, including linear equations, quadratic functions, systems of equations ...
Welcome to IXL's year 9 maths page. Practise maths online with unlimited questions in more than 200 year 9 maths skills. IXL Learning. Sign in Remember. Sign in now. Join now. IXL Learning. ... Write linear equations to solve word problems 13. Complete a table and graph a linear equation 14. Write equations in standard form 15. Standard form ...
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A series of problem solving questions for lower ability year 9. Subject: Mathematics. Age range: 7-11. Resource type: Game/puzzle/quiz. File previews. pptx, 15.27 MB. These are a series of problems from a variety of freely shared resources, or self written. They are aimed at low ability yr 9, but some are taken from KS2 problems also.
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A great range of maths worksheets for students in Year 9. Printable Year 9 Maths Worksheets with answers. Covering all topics in the curriculum. LOGIN. Username or Email: Password: ... Year 9 Solving Equations Worksheets: Year 9 Cumulative Frequency and Box Plots Worksheets: Year 9 3D Shapes Worksheets: Year 9 Vector Worksheets:
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Click here for Answers. equation, solve. Practice Questions. Previous: Ray Method Practice Questions. Next: Equations involving Fractions Practice Questions. The Corbettmaths Practice Questions on Solving Equations.
Solving algebraic word problems requires us to combine our ability to create equations and solve them. To solve an algebraic word problem: Define a variable. Write an equation using the variable. Solve the equation. If the variable is not the answer to the word problem, use the variable to calculate the answer.
The numbers x , y , z and w have an average equal to 25. The average of x , y and z is equal to 27. Find w. Find x , y , z so that the numbers 41 , 46 , x , y , z have a mean of 50 and a mode of 45. A is a constant. Find A such that the equation 2x + 1 = 2A + 3 (x + A) has a solution at x = 2.