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Curated OER
Solving Systems of Equations in Three Variables
In this systems of equations worksheet, 11th graders solve and complete 10 different sets of problems that include three variables. First, they simplify each equation and put them in standard form. Then, students choose to eliminate any...
Curated OER
Solving Systems of Two Equations with Cramer's Rule
In this systems of equations instructional activity, students use Cramer's Rule to solve a systems of equations instructional activity. This two-page instructional activity contains 14 problems. Answers are provided on the last page.
Curated OER
Homework: Writing Two-Step Equations
In this writing two-step equations worksheet, students translate word sentences into algebraic problems. Afterward, they use algebra to solve two-step equations containing one variable. This one-page worksheet contains two examples and...
EngageNY
Solution Sets to Inequalities with Two Variables
What better way to learn graphing inequalities than through discovering your own method! Class members use a discovery approach to finding solutions to inequalities by following steps that lead them through the process and...
Pace University
Grades 7-8 Independent and Dependent Variables
It all depends upon the independence. The differentiated instruction lesson introduces learners to independent and dependent variables. Using real-world situations, scholars gain a conceptual understanding of the difference between the...
EngageNY
Analyzing Data Collected on Two Variables
Assign an interactive poster activity to assess your class's knowledge and skill concerning data analysis. The teacher reference provides solid questions to ask individuals or groups as they complete their posters.
Curated OER
Functions of Two Variables
For this functions worksheet, students solve one short answer (computation) problem. They answer one short essay question about the output variable (z). Students answer two short answer questions about surface graphs. Students find the...
Curated OER
Solving Two-Step Equations
In this two-step equations learning exercise, students solve algebraic equations. This two-page learning exercise contains 15 multi-step problems. Answers are provided on the last page.
Khan Academy
Practice: Using Variables
A quick check of understanding is the focus in this short online quiz. Questions ask users to check out a short two- to four- line program and answer a question about the value of a variable. Get five questions correct in row to pass to...
EngageNY
Summarizing Bivariate Categorical Data
How do you summarize data that cannot be averaged? Using an exploratory method, learners complete a two-way frequency table on super powers. The subject matter builds upon 8th grade knowledge of two-way tables.
Royal Society of Chemistry
Periodic Table 2
While the periodic table looks complex, it is really arranged by only two variables, atomic number and electron configuration. The set of four puzzles focuses on groups 3, 4, 5, and 6 or 13, 14, 15, and 16, depending on your periodic...
CK-12 Foundation
Linear Inequalities in Two Variables
Take the tediousness out of finding solutions of inequalities by graphing. Individuals use an interactive that allows them to adjust a system of inequalities on a coordinate plane. Using the interactive helps find solutions to systems of...
Curated OER
Solving Systems of Linear Equations in Three Variables
Practice solving linear systems of three equations with three unknowns using the elimination method and substitution method. This handout includes graphics of different combinations of intersecting planes to help illustrate the different...
Inside Mathematics
Number Towers
Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...
EngageNY
The Defining Equation of a Line
They appear to be different, yet they are the same line. Part 24 out of 33 lessons provides a theorem about the relationships of coefficients of equivalent linear equations. Pupils use the theorem to determine whether two equations are...
Curated OER
Algebraic Expression: Two Variables: Decimals
For this algebraic worksheet, 6th graders focus on expressions with two variables. Students complete 5 problems using decimals and the workspace given to demonstrate how each problem is solved.
Curated OER
Two-Variable Function Pump Exploration Questions
Guiding students through two variable (complex) functions, this worksheet helps them perform complex arithmetic on 6 expressions. They iterate several functions with given starting points, determining whether each is a prisoner, escapee,...
Math Worksheets Land
Represent a Fraction on a Number Line
A number line serves as the medium to display visual fractions as scholars examine two points along its segmented length. The line is split into quarters and scholars determine which fraction is represented by two letters labeled at...
Curated OER
Scientific Method, Control and Variables
Middle school scientists bathe in Bikini Bottom with SpongeBob and friends. They define steps in the scientific method. They identify independent variables, dependent variables, and the control for science experiments being carried out...
Shodor Education Foundation
Scatter Plot
What is the relationship between two variables? Groups work together to gather data on arm spans and height. Using the interactive, learners plot the bivariate data, labeling the axes and the graph. The resource allows scholars to create...
CK-12 Foundation
Displaying Categorical Variables: Spending Habits
Bar or circle graph—which is best? Given a circle graph and a total amount of money earned, pupils calculate the amount of money in each category. Learners use the calculated amounts to create a bar graph and compare the two displays.
Virginia Department of Education
Equations
Science equipment can be handy for math class, too. Scholars learn to solve one- and two-step linear equations by using the concept of a balance. They solve real-world problems in a variety of contexts by writing and solving linear...
Kenan Fellows
Multivariate Least Squares Regression Model with Variable Selection
The risk of contracting an infection in the hospital is low, but it does happen. Learn what risk factors have the highest correlation with hospital-acquired infections in the final lesson of a three-part series. Using the open source R...
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 3)
In this third of a twelve-part series, the focus moves from using matrices to solving systems of equations with substitution and elimination, including more than two dimensions and variables in equations, and analyzing statistical data....