Curated OER
Least Squares
In this least squares learning exercise, students solve 6 different problems that include the least squares of numbers. First, they plot 3 points on the axes shown and draw in their best approximating line. Then, students estimate the...
Curated OER
Solving Systems of Linear Equations: Extra Practice 31
In this math worksheet, students solve systems of two linear equations using either the substitution method or the elimination method. Seven of the twenty problems have a coefficient of one for one of the two variables.
Curated OER
Thirty-Three Linear Systems of Equations Problems
In this systems of equations worksheet, students solve thirty-three linear systems of equations. The solutions are provided.
Curated OER
Dimensions of Subspaces
For this math worksheet, students practice to find the dimensions of subspaces. They also find the solutions to the systems of equations using the matrices.
Curated OER
Linear Systems
In this linear systems worksheet, students explore the effect of two identical columns in a matrix on the null space of the matrix. They consider the column space of a matrix. Students compare the column space of a matrix to the column...
Curated OER
MT-A314 Introduction to Linear Algebra Worksheet 1.4(b)
A linear algebra worksheet where pupils explore three linear equations and use Gaussain elimination to solve the system of equations. They identify values that have no solution, one solution, and many solutions. There is one open-ended,...
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Target D
Can learners determine solutions associated with lines? A slide presentation contains sample items for the Smarter Balanced 8th grade math Target D covering solving linear equations and systems of linear equations. Items illustrate the...
Inside Mathematics
Graphs (2007)
Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...
College Preparatory Mathematics
Using Elimination To Find the Point of Intersection of Two Lines
Two example problems are solved on the first page using the elimination method with a pair of linear equations. Detailed explanations accompany the math. The second page provides 20 practice problems and their answers. This would be a...
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...
Curriculum Corner
8th Grade Math Common Core Checklist
Ensure your eighth graders get the most out of their math education with this series of Common Core checklists. Rewriting each standard as an "I can" statement, this resource helps teachers keep a record of when each standard was...
EngageNY
End-of-Module Assessment Task: Pre-Calculus Module 2
Assess pupil understanding of the relationship between matrices, vectors, linear transformations, and parametric equations. Questions range from recall to more complex levels of thinking. Problems represent topics learned throughout the...
California Education Partners
T Shirts
Which deal is best? Learners determine which of two companies has the best deal for a particular number of shirts. They begin by creating a table and equations containing each company's pricing structure....
Balanced Assessment
Telephone Service
Class members must determine the best phone plan for customers. by assessing three different phone plans. Each plan price depends not only the number of minutes, but also the location of the calls — bringing in a third variable. Scholars...
Balanced Assessment
Bagels or Donuts
Explore business problems through mathematical analysis. The task has individuals write and graph a linear system to determine the best business model. They use their models to answer a series of questions that help to make a conclusion.
Achieve
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...
EngageNY
Two Graphing Stories
Can you graph your story? Keep your classes interested by challenging them to graph a scenario and interpret the meaning of an intersection. Be sure they paty attention to the detail of a graph, including intercepts, slope,...
Curated OER
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...
Barton Math Class
Parallel and Perpendicular Lines Worksheet
With the focus being on parallel, perpendicular, or neither type, practice with three different types of problem solving. Learners start with a simple skill of determining the relationship between slopes and then work towards creating...
101 Questions
Two Lane Road
Two vehicles move at a constant rate of speed toward each other, but when exactly will they pass? Pupils use still images from a video to determine the rate of speed and when the two cars meet. Then, they watch the complete video to...
Curated OER
Systems in Multiple Representations
Ninth graders solve systems of equations. In this algebra lesson, 9th graders solve systems of equations by substitution and linear combination. They represent systems using a table, graph and equations.
Curated OER
Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors learning exercise, students execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page learning...
Curated OER
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,...
Los Angeles County Office of Education
California State Standards: Algebra I
Starting a year of Algebra I? This mighty packet practices all of the major topics with different ranges of difficulty. Standards include everything from linear to quadratic to rational expressions. Use it in a...