Concord Consortium
Systematic Solution I
Writing a general rule to model a specific pattern is a high-level skill. Your classes practice the important skill as they write rules describing the solutions to a system of equations with variable coefficients. As an added challenge,...
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Quadratic-Linear Systems 2: Solve Systems of Equations Involving One Linear Equation and One Quadratic Equation Algebraically
In this solving systems of quadratic and linear equations, students complete three problems. The first problem asks students to solve a system of two equations. One of the equations is a quadratic and the other is linear. The second two...
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Functions and the Vertical Line Test
Students explore the concept of functions. In this function lesson, students determine if the graph is a function by using the vertical line test. Students use an applet to explore the vertical line test on a variety of graphs.
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Using The Quadratic Formula
In this math worksheet, students solve for the quadratic equations while applying the Quadratic Formula. Then they simplify into the lowest terms.
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Graphing Exponential And Logarithmic Functions
In this logarithmic function worksheet, students solve and graph logarithmic and exponential functions. Variables are included in the exponential and logarithmic functions. There are 18 problems to solve on this two-page worksheet. Graph...
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Math 32 Worksheet: Quadratic Equations
For this quadratic equations worksheet, learners solve 12 short-answer problems. Students find real and irrational solutions to given functions. Learners raise irrational numbers to irrational powers.
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Polynomial Functions
In this Algebra II worksheet, 11th graders use a graphing calculator to determine the regression equation of the given data, graph polynomial functions, factor polynomials, and determine the quotient and remainder in polynomial division....
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Solving Nonlinear Systems of Equations
In this system of equations worksheet, students solve nonlinear systems of equations using the substitution method. An example of how to solve is given prior to the assignment. Twenty problems are available on this two-page worksheet.
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Algebra II Review: Exponential Functions and Logarithms
In this Algebra II review: exponential functions and logarithms activity, students solve 19 problems, including making graphs, simplifying and evaluating.
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Composition of Functions
Students solve problems using the composition of functions. In this algebra lesson plan, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition, subtraction,...
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Inverse of a Function
In this inverse of function worksheet, 10th graders solve and graph 10 different problems that include graphically represented inverse functions. First, they solve each of the problems involving graphs and their inverses. Then, students...
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Integrating Functions
In this math worksheet, middle schoolers find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
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Solving Equations Using Two Operations
Need more detail in showing your class how to solve two-step equations and proportions? This lesson plan outlines the steps young mathematicians need to solve simple equations and check their results.
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Elementary Algebra Study Guide
Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...
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Solving Linear Equations
Use this worksheet 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 Absolute Value Inequalities
Start this activity with a brief description of how to solve absolute value inequalities. A space is provided to help classify the inequalities into types (greater than, less than, or equal to) and for learners to show how to graph their...
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Graphs of Polynomial Functions
In this polynomial functions worksheet, 9th graders solve and complete 11 different problems. First, they write the given quadratic equations in vertex form. Then, students state the x- and y-coordinate for each polynomial function.
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Quadratic Equations
Tenth graders review algebraic methods of solving quadratic equations. Students discuss several methods of solving quadratic equations. They practice factoring and finding the roots of an equation for solving. A calculator is used to...
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Quadratics: vertex form
Students practice graphing quadratic equations to find the vertex of quadratic functions. They determine if the graph opens upward or downward as well as convert quadratic equations to vertex form from polynomial form. A lab version is...
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Complex Roots Made Visible
In this algebra worksheet, 11th graders solve quadratic functions using the quadratic formula. They identify the negative roots using complex roots. There is an answer key with this problem.
EngageNY
Modeling a Context from a Verbal Description (part 1)
When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this instructional activity are designed for business applications and require complex...
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System of Two Quadratic Inequalities
Students 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.
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Representing Quadratics
Students represent quadratic equations using different methods. In this algebra lesson plan, students solve quadratics using substitution, elimination and graphing. They relate quadratics to the real world.
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Quadratic Rules and Graphs
Pupils identify the properties of quadratic equations. In this algebra lesson, students find the vertex and intercepts of a parabola. They factor quadratics and identify the zeros of the equations.