# High-Quality 8th Grade Math Worksheets

## In this section, you can view all of our eighth grade math worksheets and resources.

We add dozens of new worksheets and materials for math teachers and homeschool parents every month. Below are the latest grade 8 worksheets added to the site.

## Addition of RAEs with Different Denominators (Vacation Themed) Math Worksheets

Definition Rational algebraic expression is a fraction whose numerator and/or denominator contain a polynomial. Summary STEPS ON HOW TO ADD RATIONAL ALGEBRAIC EXPRESSIONS WITH DIFFERENT DENOMINATORS Check if the denominators…

## Box Plots (Box and Whisker Plots) (Construction Themed) Math Worksheets

Definition What is a box plot? A box plot is also called box and whisker plots. It is a type of graph that displays variation in a data set. It…

## Geometry and Measurement Problem Solving (United Nations’ Day Themed) Math Worksheets

Definition Problem-solving skills refer to the ability to identify a problem, determine its origin, and figure out all possible solutions to solve the problem. These are also a set of…

## Histogram (Hospital Themed) Math Worksheets

Definition A Histogram is a bar graph that shows the frequency data occur within a certain interval.  Summary In a histogram, the bars are always vertical, the width of each…

## Probability of Simple Events (School Fair Themed) Math Worksheets

Definition Probability is a branch of mathematics that deals with the likelihood of an event to happen. The probability of an event is represented by a number assigned to a…

## Frequency Polygon (School Themed) Math Worksheets

Definition Frequency Polygon is a line graph of class frequency plotted against class midpoint. Frequency Polygon can be created from histogram. Midpoint is calculated by adding the upper and lower…

## Population vs Sample (Journalism Themed) Worksheets

Definition Population – A population is a specific group that you will gather data from and draw conclusions about. Sample – A sample is a portion of the population or…

## Measures of Skewness (Business Themed) Worksheets

Definition Skewness is a measure of symmetry or the degree of asymmetry from the symmetry of a distribution. It measures the deviation of the distribution of a random variable from…

## Set and Set Notation (Supermarket Themed) Worksheets

Definition Sets It is a collection of distinct objects, called elements, that shares common characteristics. It is named using a capital letter. Well-Defined Sets – is a set whose elements…

## Sampling Techniques (Research Themed) Math Worksheets

Definition Sampling technique is a process of selecting people  or a subset of the given population. It is done to make inferences and characterize the whole population. Summary Sampling technique…

## Fundamental Counting Principle (Birthday Party Themed) Worksheets

Definition Fundamental counting principle is a method or rule that allows you to find the size of the sample space or  total number of outcomes for a given situation, event…

## Multiplication of Rational Algebraic Expressions with the Same Denominators (Pharmacy Themed) Worksheets

Summary To multiply rational expressions: Factor the numerator and denominator completely. Cancel out all common factors. Either multiply the denominators and numerators or leave the answer in factored form. Also,…

## Division of Rational Algebraic Expressions with Different Denominators (Office Themed) Worksheets

Summary Steps in Dividing Rational Algebraic Expressions:  Change the division sign to multiplication sign. The multiplier must be the multiplicative inverse of the divisor. Factor all numerators and denominators. Then…

## Subtraction of Radicals (Quiz Bee Themed) Worksheets

Definition A radical is a symbol that represents a particular root of a number. Summary The square root (√) of a number is another number which produces the first number…

## Subtraction of Radical Expressions (Olympics Themed) Worksheets

Definition A radical expression is a numerical expression or algebraic expression with radical symbol.  Summary To subtract radical expressions, you should remember the following: The indices and the term inside…

## Multiplication of Rational Algebraic Expressions with Different Denominators (India Independence Day Themed) Worksheets

Summary To multiply rational expressions: Factor the numerator and denominator completely. Cancel out all common factors. Either multiply the denominators and numerators or leave the answer in factored form. Multiplication…

## Multiplication of Functions (Travel and Tours Themed) Worksheets

Summary In multiplying two functions, f(x) and g(x), Multiply the terms just like how you multiply polynomials. Remember to apply laws of exponents if necessary. For example, find the product…

## Division of Functions (Health and Fitness Themed) Worksheets

Definition Function is an expression, law, or rule that defines the relationship between a variable and another variable. One of the variables is the independent variable and one is the…

## Multiplication of Algebraic Expressions (World Oceans Day Themed) Worksheets

Definition lgebraic Expressions are: expressions that contain variables, coefficient and constants.  combination of terms and at least one arithmetic operation such as addition, subtraction, multiplication and division. Summary Multiplication of…

## Division of Algebraic Expressions (Vehicle Themed) Worksheets

Definition Algebraic Expressions are: expressions that contain variables, coefficient and constants.  combination of terms and at least one arithmetic operation such as addition, subtraction, multiplication and division. Summary DIVIDING ALGEBRAIC…

Learning objectives:

In Grade 8, instructional time should focus on three critical areas: (1) deriving and reasoning about expressions and equations, including modeling an association in bivariate data with a linear equation, and solving linear equations and systems of linear equations;

(2) understanding the concept of a function and using functions to describe quantitative relationships;

(3) analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem.

a. Conceptual skills

• 8th graders utilize linear equations and systems of linear equations to represent, analyze, and solve a variety of problems. They acknowledge equations as a scaffolding concept for proportions (y/x = m or y = mx) as special linear equations (y = mx + b), and understand the meaning of each variable.
• Learners display a firm understanding of linear equations by using it to create a quantifiable relationship between two quantities in bivariate data (such as arm span vs. height for students in a classroom).
• Interpreting the trend of the linear model in the context of the data so that learners can express it as a relationship between the two quantities in question and predict the trends of the components of the relationship (such as slope and y-intercept) in terms of the situation.
• They acquire the concept of a function as a rule that assigns to each input exactly one output and a relationship where one quantity determines another.
• Learners extend their ideas of distance and angles, how they behave under translations, rotations, reflections, and dilations. As well as the ideas about congruence and similarity to describe and analyze two-dimensional figures and to solve problems.
• They get familiarized with the basic concepts of the Pythagorean Theorem and its converse, and can discuss why the Pythagorean Theorem holds, for example, by decomposing a square in two different ways.

b. Procedural skills

• Learners carefully select and efficiently carry out ways to solve linear equations in one variable. Also, make use of different equality properties to create the concept of logical equivalence and conserve the solutions of the original equation.
• They solve systems of two linear equations in two variables and connect the systems to pairs of lines in the plane. At the same time they describe the nature of the solution and the graph created.
• They can translate among representations and partial representations of functions (noting that tabular and graphical representations may be partial representations), and they describe how aspects of the function are reflected in the different representations.
• Learners illustrate that the sum of the angles in a triangle is the angle formed by a straight line, and that various configurations of lines give rise to similar triangles because of the angles created when a transversal cuts parallel lines.
• They apply the Pythagorean Theorem to find distances between points on the coordinate plane, to find lengths, and to analyze polygons.
• They complete their geometry learned concepts by working on volume to solve problems involving cones, cylinders, and spheres.

c. Life skills

• Learners deal with more applications of mathematics in their lives with grasped concepts and procedures from learning linear equations, functions, and Pythagorean Theorem.
• Linear equations and its graph can solve linear relationships of two variables such as the connection of demand and supply of goods in respect to its price value, the weight-height interconnection, amount of gasoline and number of miles reached, etc.
• Functions, likewise, are used to illustrate input-output relationships. It can explain trends of values — whether increasing and decreasing; predict future values — population of a certain town, number of bacteria in a petri dish for a period of time.
• By learning Pythagorean Theorem, 8th graders can estimate and calculate distance of two points or locations. They will learn that the shortest distance to reach another point is by walking, running, or driving in a diagonal direction.