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Linear Inequalities in Two Variables
Use this worksheet as a warm up, a refresher exercise, or a practice after a more detailed lesson on graphing linear inequalities in two variables. Start with boundaries that are horizontal or vertical, then move into graphs with...
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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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A Model Solar System
If Earth is modeled by a grapefruit, what planet could be represented by a golf ball? This activity uses everyday and not-so-everyday objects to create a model of the Solar System.
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Quick Graphs of Linear Equations
Graph equations of lines using the slope-intercept method or by plotting both x and y intercepts. Determine if two lines are parallel or perpendicular by comparing their slopes. This handout includes step-by-step directions and four...
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Graphing systems of inequalities
In this graphing worksheet, students graph ten systems of inequalities. Students are then asked to find the area of the regions. A challenge problem is included. where students are asked to find the volume of the resulting...
MARS, Shell Center, University of Nottingham
Defining Regions Using Inequalities
Your young graphers will collaboratively play their way to a better understanding of the solution set produced by the combining of inequalities. Cooperation and communication are emphasized by the teacher asking questions to guide the...
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Using Inequalities to Problem Solve
Young scholars explore inequalities. In this Algebra I lesson, students solve and graph linear inequalities involving addition, subtraction, multiplication, or division. Young scholars use inequalities to solve and graph real-world...
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Stairway
It's the stairway to learning! Scholars research all aspects of building a staircase. Using information from building codes, they write and graph a system of inequalities to analyze the constraints. The completed project is a scale model...
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Ten Word Problems Solved Using Systems of Equations
In this quadratic linear systems of equations worksheet, students solve ten word problems using systems of equations. The solutions are provided.
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Linear Inequalities
For this algebra worksheet, students solve linear inequalities. They graph their solution on a coordinate plane. There are 6 questions with answer key.
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Final Exam Review: College Algebra
In this final exam review worksheet,s students solve systems of equations, polynomials and factor quadratic equations. They identify the slope of a line and write linear equations. Students use Cramer's rule, graphing,...
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Graphing Inequalities in Two Variables
This study guide is a great resource to help you present the steps to graphing linear inequalities. Show your class two different ways to graph an inequality and work on a real-world example together. The document could also be easily...
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Practice: Word Problems
Congratulations, you've just hit the word problem jackpot! Covering an incredible range of topics from integers and fractions, to percents, geometry, and much more, this collection of worksheets will keep young mathematicians...
Concord Consortium
Intersections II
How many intersections can two absolute value functions have? Young scholars consider the question and then develop a set of rules that describe the number of solutions a given system will have. Using the parent function and the standard...
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Solving Linear Systems by Linear Combinations
This learning exercise 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...
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Worksheet #7
In this maximum and minimum of values worksheet, students solve 4 problems, two of which are word problems, related to determining values of a given variable. First, they find the maximum value of P subject to its constraints. Then,...
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Graphing Linear Equations
In this math worksheet, students practice solving systems of linear equations using the elimination and substitution methods. They also graph the solutions.
Inside Mathematics
Coffee
There are many ways to correlate coffee to life, but in this case a worksheet looks at the price of two different sizes of coffee. It requires interpreting a graph with two unknown variables, in this case the price, and solving for...
Illustrative Mathematics
Solving Two Equations in Two Unknowns
More than just a one-problem resource, learners must explain their answer and incorporate a writing component to mathematical thinking. The resource also includes an explanation of the solution to help with the reasoning.
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Solving Linear Systems by Substitution
Practice solving two equations with two unknowns. Here are five problems for using the substitution method. Included are clear, concise step-by-step instructions for the learner to follow. Problems start out easy and gradually get...
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Integrated Algebra Final Exam
In this integrated algebra worksheet, students solve problems involving system of equations, quadratic equations, inequalities, surface area, and radicals. This 28-page worksheet contains 39 multi-step problems.
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Systems of Inequalities
In this Algebra I/Algebra II worksheet, students determine the solution to a system of inequalities by graphing. The two page worksheet contains explanation, instruction, and four worked problems.
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Rabbit Food
Keep your pets slim, trim, and healthy using mathematics! Pupils use a linear programming model to optimize the amount and type of food to provide to a pet rabbit. They model constraints by graphing inequalities and use them to analyze a...
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Systems-Angle Problems
In this geometry worksheet, 10th graders use systems of linear equations to solve word problems which involve supplementary and complementary angles. The one page worksheet contains ten problems. Answers are not provided.