8th Grade Math Equations Worksheets

Are you an eighth-grade student looking to practice and improve your skills in solving math equations? Look no further. Our collection of 8th-grade math equations worksheets is designed to help you reinforce your understanding of various mathematical concepts while providing ample practice opportunities. Each worksheet focuses on a different entity and subject, allowing you to tackle a wide range of equation types and strengthen your problem-solving abilities.

  8th Grade Math Problems Worksheets

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  8th Grade Math Worksheets Algebra

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  One Step Equations Worksheets

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  Solving Equations Worksheets 7th Grade Math

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  Math Algebra Equations Worksheets

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  Two-Step Equations Worksheets 8th Grade Math

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  Algebra 1 Worksheets

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  8th Grade Math Problems Equations

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  7th Grade Math Algebra Equations Worksheets

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  8th Grade Math Worksheets Algebra

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What is an equation?

An equation is a mathematical statement that shows the equality between two expressions, usually consisting of variables, constants, and mathematical operations. It typically has an equal sign between the two sides, indicating that the expressions are equivalent. The goal in solving an equation is to find the value(s) of the variables that make both sides of the equation equal to each other.

How do you solve a one-step equation?

To solve a one-step equation, you need to isolate the variable by performing inverse operations. Start by identifying the operation being done to the variable (addition, subtraction, multiplication, or division) and then do the opposite operation to both sides of the equation to isolate the variable. Keep the equation balanced by performing the same operation to both sides until you have the variable isolated and find the solution.

How do you solve a two-step equation?

To solve a two-step equation, start by isolating the variable term by performing the operations in reverse order of the order of operations. First, undo addition/subtraction by adding/subtracting the opposite value to both sides of the equation. Then, undo multiplication/division by multiplying/dividing by the reciprocal of the coefficient of the variable term. Keep simplifying until you have the variable isolated on one side of the equation, allowing you to solve for its value. Remember to do the same operation to both sides to maintain the equality of the equation.

How do you solve an equation with variables on both sides?

To solve an equation with variables on both sides, you need to first simplify the equation by combining like terms on each side. Then, move the variable terms to one side of the equation and the constant terms to the other side by performing inverse operations. Continue simplifying until you isolate the variable on one side and determine its value. Remember to perform the same operation on both sides to maintain the equality of the equation.

How do you solve equations involving fractions or decimals?

To solve equations involving fractions or decimals, you can first simplify the equation by clearing fractions or decimals using the least common multiple (LCM) as a common denominator. Then, perform the necessary operations to isolate the variable on one side of the equation. Finally, solve for the variable by following the order of operations. Remember to double-check your work and ensure that you have found all possible solutions by checking the solution back into the original equation.

What is the distributive property and how is it used in equations?

The distributive property states that multiplying a sum by a number is the same as multiplying each addend by that number and then adding the products. In equations, the distributive property is used to simplify expressions by distributing a number or a variable to every term inside parentheses. This helps in combining like terms and solving equations more efficiently.

How do you solve equations involving exponents?

To solve equations involving exponents, you typically isolate the term with the variable raised to the exponent by performing operations to both sides of the equation as necessary. Use properties of exponents, such as the power rule, to simplify the equation before solving for the variable. Finally, apply inverse operations like taking the square root or exponentiating to find the solution. Remember to check your answer by substituting it back into the original equation to ensure it satisfies the given equation.

How do you solve word problems using equations?

To solve word problems using equations, start by identifying the unknown variable and writing an equation that represents the problem. Translate the words into a mathematical expression, setting up an equation with the unknown variable and other known quantities. Solve the equation by performing the necessary operations to isolate the variable. Finally, check your solution by plugging it back into the original problem to confirm its accuracy.

How do you check if a given value is a solution to an equation?

To check if a given value is a solution to an equation, simply substitute the value into the equation and see if it satisfies the equality. If the substituted value makes the equation true, then it is a solution. If the value does not make the equation true, then it is not a solution.

How do you graph linear equations on a coordinate plane?

To graph linear equations on a coordinate plane, first make sure the equation is in slope-intercept form (y = mx + b). Identify the y-intercept (b) and plot that point on the y-axis. Then, use the slope (m) to find a second point by counting the rise and run from the y-intercept. Connect the two points with a straight line to represent the linear equation on the coordinate plane.