8th Grade Math Worksheet Homework

Are you a middle school student in need of additional practice in math? Look no further! We have just the solution for you - 8th grade math worksheets. These worksheets are designed to help you reinforce and strengthen your math skills in a structured and organized way. With a variety of topics and problems to tackle, you'll find yourself mastering concepts such as algebra, geometry, and statistics in no time.

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What is the Pythagorean theorem?

The Pythagorean theorem is a fundamental principle in geometry that states in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. Mathematically, it is written as a² + b² = c², where "a" and "b" are the lengths of the two shorter sides, and "c" is the length of the hypotenuse.

How do you simplify expressions with exponents?

To simplify expressions with exponents, you can use the rules of exponents such as multiplying exponents when the bases are the same, dividing exponents when the bases are the same, and raising a power to a power by multiplying the exponents. Additionally, you can combine like terms by adding or subtracting the coefficients of terms with the same base and exponent. Remember to follow the order of operations and simplify each part of the expression before combining them.

What is the slope-intercept form of a linear equation?

The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept, the point where the line intersects the y-axis. This form is commonly used to graph linear equations and analyze their properties.

How do you find the volume of a rectangular prism?

To find the volume of a rectangular prism, you multiply the length by the width and then by the height of the prism. The formula for the volume of a rectangular prism is V = l * w * h, where V represents the volume, l is the length, w is the width, and h is the height of the prism.

What is the equation for finding the area of a circle?

The equation for finding the area of a circle is A = ?r², where A represents the area of the circle and r represents the radius.

What is the difference between mean, median, and mode?

Mean, median, and mode are all measures of central tendency in statistics. The mean is the average of a set of values, calculated by adding all the values together and dividing by the number of values. The median is the middle value when the data set is arranged in numerical order, and if there is an even number of values, it is the average of the two middle values. The mode is the value that appears most frequently in a data set.

How do you solve a system of equations using substitution?

To solve a system of equations using substitution, first solve one of the equations for one variable in terms of the other. Then, substitute this expression into the other equation, replacing the variable you solved for. This will create an equation with only one variable, which you can then solve to find its value. Finally, substitute this value back into one of the original equations to solve for the other variable. Thus, you will have found the solution to the system of equations using the substitution method.

What are the five different types of angles?

The five types of angles are acute angles (less than 90 degrees), right angles (exactly 90 degrees), obtuse angles (more than 90 degrees but less than 180 degrees), straight angles (exactly 180 degrees), and reflex angles (more than 180 degrees but less than 360 degrees).

How do you find the probability of an event?

To find the probability of an event, you divide the number of favorable outcomes by the total number of possible outcomes. The formula for probability is: Probability of an event = Number of favorable outcomes / Total number of possible outcomes. This will give you a value between 0 and 1, where 0 means that the event will not happen and 1 means that the event will definitely happen.

What is the order of operations in math?

The order of operations in math is: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is commonly abbreviated as PEMDAS.