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Linear Equations
Pre-algebra pupils examine the rate of change and how we can interpret it as a linear function. They are introduced to slope-intercept equations and graphs. Plenty of instruction is provided along with example problems. Note that even...
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Quiz: Subtraction Principle
In this subtraction principle worksheet, students solve algebraic equations containing one or two variables. This one-page worksheet contains 20 problems.
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Solving Linear Equations
Use this activity for practice or review solving linear equations in one variable. Problems range from multiple-step problems involving parentheses and combining like terms, to word problems, to equations with no solution or infinitely...
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Solving Linear Systems by Linear Combinations
This worksheet offers six problems to practice solving simultaneous equations using the method of elimination. Start with systems that require multiplying only one of the equations. Then move to systems which require multiplying both...
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Solving Systems of Linear Equations in Three Variables
Practice solving linear systems of three equations with three unknowns using the elimination method and substitution method. This handout includes graphics of different combinations of intersecting planes to help illustrate the different...
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Solving Equations and Simplifying Expressions
In this algebra worksheet, students solve 12 linear equations. They use opposite operations to solve for the given variable. Students combine like terms and use order of operations rules to simplify 13 expressions.
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Multiplication and Division Equations
There is only one introductory algebra word problem here and an explanation is detailed below. Because of this format, consider projecting it as an all-class warm up. Learners examine a scenario where Sam can fill a box in three minutes,...
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Rewriting Equations &Formulas
Practice with literal equations. Solve for one variable in terms of another. Find the value of y given specific values of x. This short worksheet would make a good warm-up activity at the beginning of class or a quick assessment at...
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Writing Equations in Slope-Intercept Form
Use this worksheet to write equations in both point-slope form and slope-intercept form. Start by writing equations given one point and the slope and finish by writing equations given two points and a few real-world applications. The...
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Solving Linear Systems by Graphing
A worksheet that offers four problems to practice solving simultaneous equations by graphing. Equations are presented in slope-intercept form or standard form. Problems include two with unique solutions, one with no solution, and one...
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Solving Quadratic Equations
In this ways to solve quadratic equations worksheet, learners solve 19 equations using five different methods, then solve four more using the method of their choice.
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Solving Linear Equations
In this linear equation worksheet, students solve basic linear equations containing positive and negative integers. Students show their algebra steps, as they solve for "x." The majority of the ten equations contain two terms, and a few...
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Systems of Equations in Two Variables
In this algebra worksheet, students work with pairs of linear equations. Three problems ask students to determine if the given ordered pair is a solution of the system of equations. Students graph two systems to determine the solution.
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Solving Equations
In this solving equations instructional activity, 9th graders solve 24 different problems. First, they find the zeros of each function. Then, students solve each equation by factoring. They also solve each equation by completing the...
Illustrative Mathematics
Equations of Lines
The intent of this resource is to show algebra learners that there is a proportional relationship between two lines that have an intersecting point. As the coordinate x increases by a constant, the y coordinate also increases. It...
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Solving by Substitution or Elimination
In this algebra worksheet, students solve two systems of linear equations by substitution. They solve 5 systems by using the elimination method. The final 4 problems involve systems of linear equations, but students are given the option...
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Absolute Value Equations and Inequalities
In this algebra worksheet, students solve 13 problems involving absolute value. Six problems require students to write the answer in interval notation.
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Solving Linear Systems Using Matrices
Start with the definition of a determinant and how to evaluate a 2x2 determinant. Apply this skill to solve systems of two equations with two unknowns by using Cramer's rule. These four basic problems would be good for a quick review or...
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The Algebra of Summation Notation
In this algebra worksheet, students use the summation notation correctly as they solve problems. They define the integral of a function and solve problems involving i. There are 14 questions with an answer key.
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Solving Radical Equations
In this algebra worksheet, young scholars solve 10 equations for the given variable. Each problem involves numbers under a radical sign.
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Studying Solutions of Quadratic Equations
In this algebra worksheet, young scholars solve 8 quadratic equations by using the discriminant. They write the quadratic equation for 7 problems from the solution sets. Three of the solution sets contain imaginary numbers (i).
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Rational Equations
For this algebra worksheet, students find the common denominator for 8 problems so they can solve for x. The rational equations include binomial expressions as denominators for 5 of the problems.
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Quadratic Equations
In this algebra worksheet, students solve 11 quadratic equations for the given variable. Four problems require students to multiply two binomials. The final 5 problems students are to solve by completing the square.
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Applications Involving Quadratic Equations
In this algebra worksheet, students solve 6 word problems. Problems include the necessary equations. Students solve 5 formulas by isolating the indicated variable.
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