Curated OER
Topic 4.7 - Using Augmented Matrices
In this algebra worksheet, students solve each of the systems of equations using an augmented matrix. There are 8 problems to solve.
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Topic 2: Graphing 2-Variable Linear Equations
Students explore the concept of 2-variable equations and expressions. In this 2-variable equation and expression lesson, students translate 2-variable word problems into 2-variable equations and expressions.
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Adding and Subtracting Algebraic Expressions (Combining Like Terms)
Everyone loves math when it includes food! This lesson tries to take the notion of combining like terms in algebra and comparing it to sorting apples and oranges. It takes a step-by-step approach to helping young scholars understand this...
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Chapter 3.3 - Cramer's Rule
In this Cramer's rule worksheet, students solve 4 problems in which they find the determinant. They then solve 8 more problems in which they use Cramer's Rule to solve each system of equations.
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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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Solving Quadratic Equations
In this ways to solve quadratic equations learning exercise, learners solve 19 equations using five different methods, then solve four more using the method of their choice.
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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...
Inside Mathematics
Picking Apples
Getting the best pick of the apples depends on where to pick. The short assessment presents a situation in which class members must analyze a real-world situation to determine the cost of picking apples. The pricing structures resemble...
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Solution Sets
Here is a task that gives the graph of the solutions of a system of linear inequalities and asks learners to analyze and write the algebraic form of the systems. By turning the problem around, learners make the connections between...
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Analyzing Graphs of Two Equations
Students analyze graphs of two equations. In this algebra lesson plan, students rewrite word problems as linear equations. They graph their solution and compare and contrast the two items being represented.
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Basic Matrix Algebra
Students perform basic matrices operations. For this algebra lesson, students add, subtract, multiply and divide matrices. They solve system of equations using matrices.
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Algebra 2 Test
In this algebra learning exercise, students solve problems involving functions, systems and conics. They simplify radicals and graph parabolas identifying the focus and ellipse. There are 20 questions.
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Linear Systems: Identifying Pivots and Multipliers
In this identifying pivots worksheet, students use algebra to find equivalent systems of equations. This four-page worksheet contains examples, explanations and approximately ten problems.
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Linear Systems: Graphical Interpretation of Vectors and Linear Systems
In this interpretation of vectors and linear systems worksheet, students describe the geometric appearance of two vectors. They add the two vectors and sketch the sum as well as the vectors to determine the commutativity of vector...
Mathematics Assessment Project
A Golden Crown?
For this assessment task, learners determine whether a crown with given information is composed of pure gold. The task expects algebraic and numerical solution methods, so unlike Archimedes, no bathtub is necessary.
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Evaluating Expressions
In this evaluating expressions worksheet, 9th graders solve 10 different problems that include evaluating various forms of expressions. First, they evaluate the equations for the given values of x in each of the 4 boxes. Then, students...
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Rational Numbers
Young scholars investigate rational numbers in this algebra lesson. They graph systems of equations and use technology to find the point of intersection. They need a TI for this assignment.
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Discovering Math: Concepts in Algebra
Students learn that speed is a function of time and distance, a quadratic equation can be used to figure out the path of fireworks, a photographer can use Algebra to figure out how many rolls he can afford if he needs twice as much of...
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Graphing Linear Functions
Students practice solving systems of linear equations using the substitution and elimination methods. They determine if the system has one, infinite or no solution. Students also graph the linear equations.
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Example and Steps to Solving Linear Systems Using Substitution
In this linear equation activity, students solve five systems of linear equations using the substitution method. Three examples with steps to solve are provided.
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Algebra I Project: Make Your Own Business
Students explore the concept of algebra in real world situations. In this economics lesson, students design, plan, run, and evaluate a small business. Students will create a product, market the product, and try to make a profit.
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System of Two Quadratic Inequalities
Young scholars graph a quadratic inequality and describe its solution set. They solve a system of quadratic equalities graphically and symbolically and as related to a real-world context.
5280 Math
Pythagorean Triples
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
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Quadratic Equations and Binomial Square Theorem
Students factor quadratic equations. In this algebra lesson, students apply the binomial square theorem to solve quadratics. They complete the square and use the complex number system to solve for the roots.