## Free Math Worksheets — Over 100k free practice problems on Khan Academy

You’ve found something even better!

That’s because Khan Academy has over 100,000 free practice questions. And they’re even better than traditional math worksheets – more instantaneous, more interactive, and more fun!

Kindergarten, basic geometry, pre-algebra, algebra basics, high school geometry.

• Trigonometry

## Statistics and probability

High school statistics, ap®︎/college statistics, precalculus, differential calculus, integral calculus, ap®︎/college calculus ab, ap®︎/college calculus bc, multivariable calculus, differential equations, linear algebra.

• Place value (tens and hundreds)
• Addition and subtraction within 20
• Addition and subtraction within 100
• Addition and subtraction within 1000
• Measurement and data
• Counting and place value
• Measurement and geometry
• Place value
• Measurement, data, and geometry
• Add and subtract within 20
• Add and subtract within 100
• Add and subtract within 1,000
• Money and time
• Measurement
• Intro to multiplication
• 1-digit multiplication
• Intro to division
• Understand fractions
• Equivalent fractions and comparing fractions
• More with multiplication and division
• Arithmetic patterns and problem solving
• Represent and interpret data
• Multiply by 1-digit numbers
• Multiply by 2-digit numbers
• Factors, multiples and patterns
• Multiply fractions
• Understand decimals
• Plane figures
• Measuring angles
• Area and perimeter
• Units of measurement
• Decimal place value
• Subtract decimals
• Multi-digit multiplication and division
• Divide fractions
• Multiply decimals
• Divide decimals
• Powers of ten
• Coordinate plane
• Algebraic thinking
• Converting units of measure
• Properties of shapes
• Ratios, rates, & percentages
• Arithmetic operations
• Negative numbers
• Properties of numbers
• Variables & expressions
• Equations & inequalities introduction
• Data and statistics
• Negative numbers: addition and subtraction
• Negative numbers: multiplication and division
• Fractions, decimals, & percentages
• Rates & proportional relationships
• Expressions, equations, & inequalities
• Numbers and operations
• Solving equations with one unknown
• Linear equations and functions
• Systems of equations
• Geometric transformations
• Data and modeling
• Volume and surface area
• Pythagorean theorem
• Transformations, congruence, and similarity
• Arithmetic properties
• Factors and multiples
• Negative numbers and coordinate plane
• Ratios, rates, proportions
• Equations, expressions, and inequalities
• Exponents, radicals, and scientific notation
• Foundations
• Algebraic expressions
• Linear equations and inequalities
• Graphing lines and slope
• Expressions with exponents
• Equations and geometry
• Algebra foundations
• Solving equations & inequalities
• Working with units
• Linear equations & graphs
• Forms of linear equations
• Inequalities (systems & graphs)
• Absolute value & piecewise functions
• Exponential growth & decay
• Irrational numbers
• Performing transformations
• Transformation properties and proofs
• Right triangles & trigonometry
• Non-right triangles & trigonometry (Advanced)
• Analytic geometry
• Conic sections
• Solid geometry
• Polynomial arithmetic
• Complex numbers
• Polynomial factorization
• Polynomial division
• Polynomial graphs
• Exponential models
• Transformations of functions
• Rational functions
• Trigonometric functions
• Non-right triangles & trigonometry
• Trigonometric equations and identities
• Analyzing categorical data
• Displaying and comparing quantitative data
• Summarizing quantitative data
• Modeling data distributions
• Exploring bivariate numerical data
• Study design
• Probability
• Counting, permutations, and combinations
• Random variables
• Sampling distributions
• Confidence intervals
• Significance tests (hypothesis testing)
• Two-sample inference for the difference between groups
• Inference for categorical data (chi-square tests)
• Advanced regression (inference and transforming)
• Analysis of variance (ANOVA)
• Scatterplots
• Data distributions
• Two-way tables
• Binomial probability
• Normal distributions
• Displaying and describing quantitative data
• Inference comparing two groups or populations
• Chi-square tests for categorical data
• More on regression
• Prepare for the 2020 AP®︎ Statistics Exam
• AP®︎ Statistics Standards mappings
• Polynomials
• Composite functions
• Probability and combinatorics
• Limits and continuity
• Derivatives: definition and basic rules
• Derivatives: chain rule and other advanced topics
• Applications of derivatives
• Analyzing functions
• Parametric equations, polar coordinates, and vector-valued functions
• Applications of integrals
• Differentiation: definition and basic derivative rules
• Differentiation: composite, implicit, and inverse functions
• Contextual applications of differentiation
• Applying derivatives to analyze functions
• Integration and accumulation of change
• Applications of integration
• AP Calculus AB solved free response questions from past exams
• AP®︎ Calculus AB Standards mappings
• Infinite sequences and series
• AP Calculus BC solved exams
• AP®︎ Calculus BC Standards mappings
• Integrals review
• Integration techniques
• Derivatives of multivariable functions
• Applications of multivariable derivatives
• Integrating multivariable functions
• Green’s, Stokes’, and the divergence theorems
• First order differential equations
• Second order linear equations
• Laplace transform
• Vectors and spaces
• Matrix transformations
• Alternate coordinate systems (bases)

Khan Academy’s 100,000+ free practice questions give instant feedback, don’t need to be graded, and don’t require a printer.

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

Here’s an example:

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

## 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.

## Get Khanmigo

The best way to learn and teach with AI is here. Ace the school year with our AI-powered guide, Khanmigo.

For learners     For teachers     For parents

If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

## Unit 2: Solving equations & inequalities

There are lots of strategies we can use to solve equations. Let's explore some different ways to solve equations and inequalities. We'll also see what it takes for an equation to have no solution, or infinite solutions.

## Linear equations with variables on both sides

• Why we do the same thing to both sides: Variable on both sides (Opens a modal)
• Intro to equations with variables on both sides (Opens a modal)
• Equations with variables on both sides: 20-7x=6x-6 (Opens a modal)
• Equation with variables on both sides: fractions (Opens a modal)
• Equation with the variable in the denominator (Opens a modal)
• Equations with variables on both sides Get 3 of 4 questions to level up!
• Equations with variables on both sides: decimals & fractions Get 3 of 4 questions to level up!

## Linear equations with parentheses

• Equations with parentheses (Opens a modal)
• Reasoning with linear equations (Opens a modal)
• Multi-step equations review (Opens a modal)
• Equations with parentheses Get 3 of 4 questions to level up!
• Equations with parentheses: decimals & fractions Get 3 of 4 questions to level up!
• Reasoning with linear equations Get 3 of 4 questions to level up!

## Analyzing the number of solutions to linear equations

• Number of solutions to equations (Opens a modal)
• Worked example: number of solutions to equations (Opens a modal)
• Creating an equation with no solutions (Opens a modal)
• Creating an equation with infinitely many solutions (Opens a modal)
• Number of solutions to equations Get 3 of 4 questions to level up!
• Number of solutions to equations challenge Get 3 of 4 questions to level up!

## Linear equations with unknown coefficients

• Linear equations with unknown coefficients (Opens a modal)
• Why is algebra important to learn? (Opens a modal)
• Linear equations with unknown coefficients Get 3 of 4 questions to level up!

## Multi-step inequalities

• Inequalities with variables on both sides (Opens a modal)
• Inequalities with variables on both sides (with parentheses) (Opens a modal)
• Multi-step inequalities (Opens a modal)
• Using inequalities to solve problems (Opens a modal)
• Multi-step linear inequalities Get 3 of 4 questions to level up!
• Using inequalities to solve problems Get 3 of 4 questions to level up!

## Compound inequalities

• Compound inequalities: OR (Opens a modal)
• Compound inequalities: AND (Opens a modal)
• A compound inequality with no solution (Opens a modal)
• Double inequalities (Opens a modal)
• Compound inequalities examples (Opens a modal)
• Compound inequalities review (Opens a modal)
• Solving equations & inequalities: FAQ (Opens a modal)
• Compound inequalities Get 3 of 4 questions to level up!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

List of important publications in mathematics wikipedia , lookup

Law of large numbers wikipedia , lookup

Mathematics of radio engineering wikipedia , lookup

Recurrence relation wikipedia , lookup

Arithmetic wikipedia , lookup

Elementary algebra wikipedia , lookup

System of polynomial equations wikipedia , lookup

Partial differential equation wikipedia , lookup

Elementary mathematics wikipedia , lookup

History of algebra wikipedia , lookup

Algebra wikipedia , lookup

• Brain Development
• Diet & Lifestyle
• Emotions, Stress & Anxiety
• Learning & Memory
• Thinking & Awareness
• Alzheimer's & Dementia
• Childhood Disorders
• Immune System Disorders
• Mental Health
• Neurodegenerative Disorders
• Infectious Disease
• Neurological Disorders A-Z
• Body Systems
• Cells & Circuits
• Genes & Molecules
• The Arts & the Brain
• Law, Economics & Ethics
• Neuroscience in the News
• Supporting Research
• Tech & the Brain
• Animals in Research
• BRAIN Initiative
• Meet the Researcher
• Neuro-technologies
• Tools & Techniques
• Core Concepts
• For Educators
• The Brain Facts Book

## Image of the Week

Check out the Image of the Week Archive.

## SUPPORTING PARTNERS

• Accessibility Policy
• Terms and Conditions

## Basic Arithmetic

Subtraction, multiplication, basic arithmetic review, multi-digit arithmetic, addition (2-digit), subtraction (2-digit), multiplication (2-digit by 1-digit), division (2-digit answer), multiplication (2-digit by 2-digit), multi-digit division, negative numbers, addition: negative numbers, subtraction: negative numbers, multiplication: negative numbers, division: negative numbers, order of operations, order of operations 1, basic equations, equations: fill in the blank 1, equations: fill in the blank 2, equations: fill in the blank 3 (order of operations), fractions of measurements, fractions of measurements 2, adding fractions, subtracting fractions, adding fractions: fill in the blank, multiplication: fractions 1, multiplication: fractions 2, division: fractions 1, division: fractions 2, division: fractions 3, addition (decimals), subtraction (decimals), multiplication 2 (example problem: 3.5*8), multiplication 3 (example problem: 0.3*80), division (decimals), division (decimals 2), percentages, percentages 1, percentages 2, chain reaction, balance arithmetic, number balance, basic balance 1, basic balance 2, basic balance 3, basic balance 4, basic balance 5, basic algebra, basic algebra 1, basic algebra 2, basic algebra 3, basic algebra 4, basic algebra 5, algebra: basic fractions 1, algebra: basic fractions 2, algebra: basic fractions 3, algebra: basic fractions 4, algebra: basic fractions 5.

• Get started
• Pre-Algebra

## A quicker path to better grades

We have gathered all your curriculum-based courses, assignments, hints, tests, and solutions in one easy-to-use place

• Integrated I
• Integrated II
• Integrated III

More math. less studying.

A personal private tutor for each student. Free from preassure and study anxiety.

## Exercise 15 Page   389

Recall that (f± g)(x)=f(x)± g(x), (f* g)(x)=f(x)* g(x), and ( fg)(x)= f(x)g(x).

We want to perform arithmetic operations with the functions f(x) and g(x). To do so, we will calculate (f+g)(x), (f-g)(x), (f* g)(x), and ( fg)(x) separately.

## Calculating (f+g)(x)

f(x)= 3x^2-4, g(x)= x^2-8x+4

Remove parentheses

Distribute -1

## Calculating (f* g)(x)

Distribute (x^2-8x+4)

Distribute 3x^2

Distribute - 4

Subtract term

## Calculating ( fg)(x)

Substitute values

Calculate power

Subtract terms

Split into factors

sqrt(a* b)=sqrt(a)*sqrt(b)

Calculate root

Factor out 2

a/b=.a /2./.b /2.

## Geometry: Common Core (15th Edition)

By charles, randall i., chapter 1 - tools of geometry - 1-7 midpoint and distance in the coordinate plane - practice and problem-solving exercises - page 54: 6, work step by step, update this answer.

You can help us out by revising, improving and updating this answer.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.

#### IMAGES

1. 10+ Practice And Problem Solving Answer Key

2. Problem Solving Worksheets Grade 4

3. five step process for problem solving is

4. Developing Problem-Solving Skills for Kids

5. 5th grade problem solving activities

6. Lesson 8 Problem Solving Practice Financial Literacy Answer Key

#### VIDEO

1. Std 8|Mathematics|CHP 15|Part 1|Area|Navneet Workbook Solution|Maharashtra Board|Sandhya's Pathshala

2. Grade 6, Unit 4, Lesson 15 Practice Problems

3. Exercise 15b Question no 3 D1 Maths Oxford New Syllabus Mathematics ||Chapter 15|| Book 1

4. Lesson 1.5 Part 1 Use Problem Solving Strategies

5. Exercise 15b Question 1 D1 Oxford Mathematics New Syllabus|| Chapter 15 ||Book 1 Math NSM ||

6. LINKS 03/12/24! Problem Solving and Data Analysis

1. Algebra 1 Practice and Problem Solving Workbook

Find step-by-step solutions and answers to Algebra 1 Practice and Problem Solving Workbook - 9780133688771, as well as thousands of textbooks so you can move forward with confidence. ... Page 15: Practice. Page 17: Standardized Test Prep. Page 18: Think About a Plan. Page 19: Practice. Page 21: Standardized Test Prep. Page 22: Think About a ...

2. enVision Algebra 1

Our resource for enVision Algebra 1 includes answers to chapter exercises, as well as detailed information to walk you through the process step by step. With Expert Solutions for thousands of practice problems, you can take the guesswork out of studying and move forward with confidence. Find step-by-step solutions and answers to enVision ...

3. Free Math Worksheets

Khan Academy's 100,000+ free practice questions give instant feedback, don't need to be graded, and don't require a printer. Math Worksheets. Khan Academy. Math worksheets take forever to hunt down across the internet. Khan Academy is your one-stop-shop for practice from arithmetic to calculus. Math worksheets can vary in quality from ...

4. High School Math 2012 Common-core Algebra 1 Practice And Problem

FREE Answers for High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9. ... Write an algebraic expression for each word phrase. 8 minus the quotient of 15 and y. Problem 22P: Write an algebraic expression for each word phrase. A number q tripled plus z doubled.

5. Algebra 1

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!

6. Two-Step Equations Practice Problems with Answers

Two-Step Equations Practice Problems with Answers. Hone your skills in solving two-step equations because it will serve as your foundation when solving multi-step equations. I prepared eight (8) two-step equations problems with complete solutions to get you rolling. My advice is for you to solve them by hand using a pencil or pen and paper.

7. Solving equations & inequalities

Unit test. Level up on all the skills in this unit and collect up to 1,100 Mastery points! Start Unit test. There are lots of strategies we can use to solve equations. Let's explore some different ways to solve equations and inequalities. We'll also see what it takes for an equation to have no solution, or infinite solutions.

8. Algebra 1, Geometry, Algebra 2 Common Core-Savvas Learning Company

Practice and Problem Solving Workbook Teacher's Guide price: \$32.50. isbn10: 0133188442 isbn13: 9780133188448 notes: † Quantity. Common Core Overview Implementation Guide price: \$15.00. isbn10: 0133185583 isbn13: 9780133185584. Quantity. All-in-One Teaching Resources. price: \$289.00.

9. Practice Math Problems with Answers

From basic additions to calculus, the process of problem solving usually takes a lot of practice before answers could come easily. As problems become more complex, it becomes even more important to understand the step-by-step process by which we solve them. At Cymath, our goal is to take your understanding of math to a new level.

10. PDF LESSON 15-5 Practice and Problem Solving: A/B

Practice and Problem Solving: A/B A parent function has equation 1 ()0.25 . Y = x For 1-4, find the equation for each Y 2. 1. Y 2 is a vertical stretch of Y 1. The values of Y 2 are 6 times those of Y ... 15-5 f1 7 9 O gcxi a.CI is O t.se f101 1 a 50 f 5 N 0.4 5. Created Date: 2/12/2019 7:43:30 PM ...

11. Practice and Problem Solving Workbook

Write an algebraic expression that models each word phrase. 1. nine less than 5 multiplied by the number p 5p 2 9. 2. the product of 2 divided by the number h and 8 more than the number k Q h2 R (k 1 8) 3. two decreased by the quotient of the number a and 7 and increased by a. multiplied by 3. 2 2 a7 1 3a.

13. PDF The Pythagorean Theorem 12-1 Practice and Problem Solving: A/B

Part is an alternate interior angle to a 45° angle, and part is an alternate interior angle to a 35° angle. I can use those measures to add because the angles are congruent. 4. m∠x = 70° − 30° = 40° The angle marked 70° and the angles marked x and 30° are alternate interior angles and therefore congruent.

14. Math Practice Problems

MathPapa Practice has practice problems to help you learn algebra. Basic Arithmetic Addition Subtraction Multiplication Division ... (Example Problem: 3.5*8) Multiplication 3 (Example Problem: 0.3*80) Division (Decimals) Division (Decimals 2) Percentages Percentages 1 ...

15. PDF Skills Practice Workbook

001_009_CRM01_881031. Use the four-step plan to solve each problem. 1. GEOGRAPHY. The president is going on a campaign trip to California, first. flying about 2,840 miles from Washington, D.C., to San Francisco and. then another 390 to Los Angeles before returning the 2,650 miles back to.

16. Exercise 15 Page 389

Exercise 15 Page 389 - Practice and Problem Solving - 1. Operations on Functions - We want to perform arithmetic operations with the functions f(x) and g(x). To do so, we will calculate (f+g)(x), (f-g)(x), (f* g)(x), and ( fg)(x) separately. Calculating (f+g)(x) When we are given the addition of two

17. Problems

48. Rotate Image. 49. Group Anagrams. 50. Pow (x, n) Boost your coding interview skills and confidence by practicing real interview questions with LeetCode. Our platform offers a range of essential problems for practice, as well as the latest questions being asked by top-tier companies.

18. Algebra 2 Common Core Practice and Problem Solving Workbook

Find step-by-step solutions and answers to Algebra 2 Common Core Practice and Problem Solving Workbook - 9780133186147, as well as thousands of textbooks so you can move forward with confidence. ... Page 15: Practice. Page 17: Standardized Test Prep. Page 18: Think About a Plan. Page 19: Practice. Page 21: Standardized Test Prep. Page 22: Think ...

19. Geometry: Common Core (15th Edition)

Geometry: Common Core (15th Edition) answers to Chapter 1 - Tools of Geometry - 1-7 Midpoint and Distance in the Coordinate Plane - Practice and Problem-Solving Exercises - Page 54 6 including work step by step written by community members like you. Textbook Authors: Charles, Randall I., ISBN-10: 0133281159, ISBN-13: 978--13328-115-6, Publisher: Prentice Hall

20. Algebra 1 Practice and Problem Solving Workbook

Find step-by-step solutions and answers to Exercise 15 from Algebra 1 Practice and Problem Solving Workbook - 9780133688771, as well as thousands of textbooks so you can move forward with confidence. ... Exercise 15. Chapter 8, Page 247. Algebra 1 Practice and Problem Solving Workbook. ISBN: 9780133688771 Table of contents. Solution. Verified ...

21. Solving Modern College Problems with a Stone-Age Brain: Insight and

May 15, 2024. How can educators help their students develop better problem-solving skills? Authors of the award-winning Solving Modern Problems with a Stone-Age Brain, Douglas Kenrick, PhD, and David Lundberg-Kenrick discuss the problem-solving dilemmas students encounter in college and how educators can provide opportunities to practice solid ...

22. enVision Geometry Common Core

Our resource for enVision Geometry Common Core includes answers to chapter exercises, as well as detailed information to walk you through the process step by step. With Expert Solutions for thousands of practice problems, you can take the guesswork out of studying and move forward with confidence. Find step-by-step solutions and answers to ...