CK-12 Foundation
Cramer's Rule
Use matrices to solve systems of equations. The interactive introduces Cramer's Rule, using determinants of matrices to solve systems of equations. Color coding helps pupils place entries correctly from the system.
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Cramer's Rule ID: 8793
Mathematicians are introduced to Cramer’s Rule and use it to solve three systems that have one solution, no solutions, and an infinite number of solutions. Young scholars use TI-Nspire to graph the systems to verify their answers and...
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Solving Systems of Three Equations with Cramer's Rule
In this systems of equations worksheet, students solve systems of equations using Cramer's Rule. This four-page worksheet contains 16 problems. Answers are provided on the last two pages.
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Solving Systems of Two Equations with Cramer's Rule
In this systems of equations worksheet, students use Cramer's Rule to solve a systems of equations worksheet. This two-page worksheet contains 14 problems. Answers are provided on the last page.
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Topic 3.3: Cramer's Rule
In this Cramer's Rule worksheet, students use Cramer's Rule to solve system of equations. They identify the value of each given determinant. This one-page worksheet contains ten multi-step problems.
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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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Cramer's Rule
In this Cramer's Rule activity, students solve and complete 18 different problems related to trigonometry. First, they solve each system of equations using Cramer's Rule. Then, students solve using matrix elimination. Finally, they solve...
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Cramer's Rule
In this Cramer's Rule worksheet, students first evaluate five determinants or square matrix. Then they solve the last five problems by applying Cramer's Rule. Students identify and define Cramer's Rule as a theorem used with linear...
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Equations and Inequalities
In this equations and inequalities review worksheet, 11th graders solve and complete 100 various types of problems. First, they solve each equation using the quadratic formula or completing the square. Then, students solve using matrices...
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Cramer's Rule
In this algebra learning exercise, students solve problems with matrices. They add, subtract and multiply matrices. There are 7 questions.
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Systems of Equations
In this systems of equations worksheet, 10th graders solve and complete 4 different sets of problems. First, they state the domain for each equation. Then, students solve each system of equations using Cramer's Rule. They also find the...
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Linear Systems: Applications of Determinants
For this determinant worksheet, students explore determinants, area and volume. This two-page worksheet contains explanations and examples. It provides two problems for students to solve.
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Solving Linear Systems Using Matrices
Start with the definition of a determinant and how to evaluate a 2x2 determinant. Apply this skill to solve systems of two equations with two unknowns by using Cramer's rule. These four basic problems would be good for a quick review or...
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Linear Systems: Applications of Determinants
In this determinant worksheet, students use determinants to find area and volume. This two-page worksheet contains examples, explanations and four problems.
Rice University
College Algebra
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
Rice University
Precalculus
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
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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, substitution,...
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Algebra 2 Test
In this algebra 2 activity, learners solve 13 systems of equations where they must identify and solve problems using matrices. This would be a great review activity.
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Academic Algebra 2 Test
In this algebra worksheet, 11th graders rewrite word problems using algebraic expressions. They solve problems using systems of equations. There are 14 problems on this worksheet.
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Academic Algebra II Test Chapter 4
In this algebra worksheet, students solve systems of equations. They evaluate matrix problems and identify the determinant. This two-page worksheet contains 13 problems.
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Academic Algebra II Test Chapter 4, Part 2
In this test of knowledge worksheet, students answer 2 story problems, they solve 6 systems of equations. Students multiply 2 maxrix sets. They determine the inverse of two matrices. Students determine the linear regression line for two...
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Lines of Slope
For this lines of slope worksheet, 9th graders solve and complete 40 various types of problems. First, they find the equation of the lines described and write in slope-intercept form. Then, students graph each equation. They also find...
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Food Safety at the Grocery Store
Young scholars study the connection between food spoilage and temperature control. They determine the difference between expiration, sell-by, and use by date on food. They investigate food safety practices to look for when food shopping.
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MT-A315I introduction to Linear Algebra
In this linear algebra worksheet, students apply the basics of algebraic reasoning to evaluate different expressions looking for the pattern of finding the unknowns.