Illustrative Mathematics
How Many Solutions?
Determining the number of solutions is an important stepping stone to higher math. In this case, the resource asks algebra pupils to find a second linear equation for a certain solution of a system. When one is asked for a linear...
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Unit 9 Review
Middle and high schoolers solve and complete 15 various types of problems that include evaluating expressions and graphing. First, they use the substitution method to solve pairs of equations for a variable. Then, students write out a...
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Whose Line is it Anyway?
Students solve systems of equations. In this algebra lesson plan, students identify the domain and range of each function. They use the slope and y-intercept to graph each line.
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Linear Functions-Learn Your Lines
Students solve and graph linear equations. In this algebra instructional activity, students collect and plot data on a coordinate plane. They use the CBL and TI calculator to graph systems of equation.
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Left Hand, Right Hand - Solving Systems of Equations
Students compare the speed at which they write with their left hand to the speed at which they write with their right hand. The experiment serves as a vehicle to help students develop a conceptual understanding of the three different...
Virginia Department of Education
The Exercise Fields
Horses need exercise, too. Scholars create linear equations to model the perimeter of exercise fields for horses. They finish by solving their equations for the length and width of the fields.
Virginia Department of Education
Spring Fling Carnival
Think critically — and linearly by applying linear equations to solve real-world problems. Young mathematicians write equations to model the profit on popcorn and cotton candy at a carnival and solve problems using these equations.
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A Point of Intersection
Pupils factor and solve systems of equation. In this algebra lesson, students identify the point of intersection using substitution, elimination and graphing. They write an equation given a system and a graph.
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Equations and Systems of Equations
Students practice using algebra to be applied to real world situational problems. The key concepts of translation of language to algebraic expressions is covered. They also look in depth at relationships between different quantities.
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That's a Fine Line You're Walking!
Learners experiment with Hiker program to practice real world applications of linear functions and develop their understanding of expressions, relationships, and manipulations involved in writing and graphing linear equations in...
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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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Linear Inequalities
In 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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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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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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Representing Constraints
What are constraints and how can they be represented mathematically? This instructional slideshow provides an explanation and an example of how to translate constraints into algebraic inequalities.
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Long Distance Phone Plans
In this long distance phone plane worksheet, students compare various phone plans and determine which long distance plan has the greatest savings. Students support their answers visually through the use of tables and graphs. They write...
Mathematics Assessment Project
A Golden Crown?
In 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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Is the System Fair?
Students investigate shapes and patterns. In this algebra lesson, students move from concrete to abstract understanding of shapes and concepts. They use variable to identify the unknown.
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Systems of linear inequalities in standard form
Learners practice graphing linear inequalities and explain their solution sets to the solving of a system of linear equalities graphically and symbolically. They utilize programming techniques in setting up and solving systems of linear...
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Systems of Linear Inequalities in Standard Form -- Lecture
Middle schoolers participate in a lecture about linear inequalities. Individually, they graph different inequalities and describe its solution. They participate in a demonstration in which they solve a system of inequalities and...
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Awareness of Pre-algebra Concepts
Students work in a cooperative group of three to solve algebraic equations with roles assigned for manipulator, recorder, and checker. They utilize hands-on learning materials imbedded in the lesson plan.
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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Linear and Exponential Functions
This comprehensive unit on linear and exponential functions provides numerous clearly-written worksheets. Topics include graphing linear equations, solving systems of equations algebraically and by graphing, identifying the domain and...
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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.