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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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Graphs
In this algebra worksheet, students solve three linear equations to by substitution to determine if the given point is a solution. Students graph and determine the slope and y-intercept of 5 linear equations.
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Functions
In this algebra worksheet, students look at 4 sets of relations and determine if they are functions. Students are provided with the graphs of three functions and determine the function value. Two relations are graphed on the coordinate...
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Other Equations of Lines
For this algebra worksheet, learners find equations for 4 lines when given their slope and one point on the line. They write two linear equations when given two points on a line. Students analyze the equations of 3 sets of linear...
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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 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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Solving Applications: Systems of Two Equations
In this algebra worksheet, students solve 9 word problems. Each problem involves two sets of information that students must translate into math symbols. The two equations are then solved for the one solution that is true for both.
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Intersections, Unions, and Compound Inequalities
For this algebra worksheet, students graph inequalities on number lines. Two problems are written in interval notation. The other five problems require students to graph and then write in interval notation.
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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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Inequalities in Two Variables
In this algebra worksheet, students solve and graph 3 linear inequalities on coordinate systems. They solve and graph 3 systems of linear inequalities on a coordinate grid.
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Common Factors and Factoring by Grouping
In this algebra worksheet, students factor out common factors of polynomials. Once the common factors are out, students factor trinomial expressions into the product of two binomials when possible.
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Factoring Trinomials
In this algebra worksheet, young scholars factor twelve trinomial expressions into a binomial multiplication expression. In four of the problems, they must first factor out the common elements from the three terms.
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Factoring Perfect-Square Trinomials and Differences of Squares
In this algebra worksheet, students factor expressions into the product of two binomials. Four of the problems involve factoring perfect square trinomials. The remaining eight problems require students to factor problems that are the...
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Factoring: A General Strategy
In this algebra worksheet, students factor 10 polynomial expressions. Problems involve several approaches to factoring, including factoring out common elements by grouping, factoring the difference of two squares, and factoring the sum...
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Applications of Polynomial Equations
For this algebra worksheet, students solve polynomial equations for the given variable. Seven problems require students to solve a given equation. The last three problems are word problems, each gives the required equation. Students...
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Rational Equations
In this algebra worksheet, learners 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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Formulas, Applications, and Variation
In this algebra worksheet, students solve 7 given formulas for a specified variable. Each formula is written as an equation, and students isolate one of the variables as the solution to the problem.
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Rational Numbers as Exponents
In this algebra worksheet, students rewrite 3 radical expressions as exponential notation. They change 6 quantities with fraction exponents into equivalent radical expressions. Students write three exponential expressions, eliminating...
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Multiplying Radical Expressions
In this algebra worksheet, students multiply 4 radical expressions. They simplify 6 expressions by factoring out perfect squares. Students combine multiplication and simplification on three problems.
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Dividing Radical Expressions
In this algebra worksheet, students simplify 14 complex radical fractions. They find the square roots for both the denominator and numerator, dividing out any factors that are the same to completely simplify the fraction. For the final 7...
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Expressions Containing Several Radical Terms
In this algebra worksheet, pupils add 5 expressions with radical signs. In 6 problems, students multiply with radicals over parenthesis. The final 4 problems require pupils to rationalize the denominator and divide.
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Solving Radical Equations
In this algebra worksheet, students solve 10 equations for the given variable. Each problem involves numbers under a radical sign.
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The Complex Numbers
For this algebra worksheet, students solve 16 problems involving imaginary numbers. In the first three, students find the square root of 3 negative numbers in terms of i. Nine problems involve addition, subtraction, multiplication and...
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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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