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Curated OER
Solving Linear Equations
For this linear equation worksheet, young scholars 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...
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Functions
In this algebra worksheet, learners 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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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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Rational Numbers as Exponents
For 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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The Quadratic Formula
In this algebra worksheet, pupils solve 10 equations using the quadratic formula. In problems 5, 6, 9 and 10 students must first get the equation in standard form.
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Applications Involving Quadratic Equations
In this algebra worksheet, young scholars solve 6 word problems. Problems include the necessary equations. Students solve 5 formulas by isolating the indicated variable.
Illustrative Mathematics
Log Ride
The rides at a theme park always have limits on weight or number of riders. This makes a natural example of the use of inequalities to solve real-world problems. Learners explore intuitive solutions using substitution to solve 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 Basic Equations 2
In this basic equation worksheet, students solve equations containing one variable. Students show their algebra steps as they solve division, multiplication, addition and subtraction problems containing positive and negative integers,...
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Intersections, Unions, and Compound Inequalities
In 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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Applications of Polynomial Equations
In 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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The Complex Numbers
In this algebra worksheet, young scholars 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...
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Law of Sines
In this Law of Sines worksheet, students describe, in their own words, when to use the law of sines. They give an example of a problem using the law of sines. This two-page worksheet contains one problem and a sample answer.
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Positive and Negative Numbers
Pupils use blocks and markers to illustrate the processes of adding, subtracting, multiplying and dividing integers. In this mathematics lesson, learners use Algebra blocks to demonstrate multiplying polynomials.
Curated OER
Sit Down, Stand Up
Have your class practice solving algebraic equations, finding the square root of a number, and more. This activity allows learners to practice key skills in a motivating way.
Illustrative Mathematics
Two Lines
Here is a resource that helps your algebra learners understand the connection between the graph of two lines, the equations of lines, and the solutions and intersecting points of lines. It would make a great assessment question, but can...
Illustrative Mathematics
Delivering the Mail
A mail truck travels the same amount of miles per day. It will be up to your algebra learners to find an equation for this mailman’s truck. One needs a good understanding of rate of change and the initial value for this model. The...
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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
For this algebra worksheet, students 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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Formulas, Applications, and Variation
In this algebra worksheet, learners 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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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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Expressions Containing Several Radical Terms
In this algebra worksheet, students add 5 expressions with radical signs. In 6 problems, students multiply with radicals over parenthesis. The final 4 problems require students to rationalize the denominator and divide.