This problem involves solving a system of algebraic equations from a context: depending how the problem is interpreted, there may be one equation or two.

Applied Finite Mathematics covers topics including linear equations, matrices, linear programming, the mathematics of finance, sets and counting, probability, Markov chains, and game theory. Endorsed by CollegeOpenTextbooks.org.

This task presents a real-world problem requiring the students to write linear equations to model different cell phone plans. Looking at the graphs of the lines in the context of the cell phone plans allows the students to connect the meaning of the intersection points of two lines with the simultaneous solution of two linear equations.

Students are exptected to identify the slope of the line with the unit rate in this real world problem.

This task provides the opportunity for students to reason about graphs, slopes, and rates without having a scale on the axes or an equation to represent the graphs. Students who prefer to work with specific numbers can write in scales on the axes to help them get started.

This task involves solving equations with rational coefficients, and requires students to use the distributive law ("combine like terms"). The equation also provides opportunities for students to observe structure in the equation to find a quicker solution, as in the second solution presented.

The purpose of this lesson is to recognize the equations of vertical, horizontal and oblique lines.

Included is a YouTube video to support Grade 9 Blended Learning Math - Unit 4.3: Linear Relations- Another Form of the Equation for a Linear Relation.

The purpose of this lesson is to match equations and graphs.

Included is a YouTube video to support Grade 9 Blended Learning Math - Unit 4.4: Linear Relations - Matching Equations and Graphs.

This 10-minute video lesson provides an introduction to 2nd order, linear, homogeneous differential equations with constant coefficients. [Differential Equations playlist: Lesson 13 of 45]

This 8-minute video lesson continues the discussion from the previous video and shows how to find the general solution. [Differential Equations playlist: Lesson 14 of 45]

This 6-minute video lesson continues the discussion from the previous videos and introduces some initial conditions to solve for the particular solution. [Differential Equations playlist: Lesson 15 of 45]

This 9-minute video lesson continues the discussion from the previous videos and provides another example using initial conditions. [Differential Equations playlist: Lesson 16 of 45]

This 12-minute video lesson looks at useful properties of the Laplace Transform. [Differential Equations playlist: Lesson 30 of 45]

This 10-minute video lesson looks at using the method of undetermined coefficients to solve nonhomogeneous linear differential equations. [Differential Equations playlist: Lesson 22 of 45]

This 11-minute video lesson gives another example using undetermined coefficients. [Differential Equations playlist: Lesson 23 of 45]

This 8-minute video lesson gives another example where the nonhomogeneous part is a polynomial. [Differential Equations playlist: Lesson 24 of 45]

This 6-minute video lesson concludes the series on undetermined coefficients by putting it all together. [Differential Equations playlist: Lesson 25 of 45]

This task requires students to use the fact that on the graph of the linear equation y=ax+c, the y-coordinate increases by a when x increases by one. Specific values for c and d were left out intentionally to encourage students to use the above fact as opposed to computing the point of intersection, (p,q), and then computing respective function values to answer the question.

This site offers 4 free math activities to assist students with increasing their fluency in operations with rational number and algebraic equations. The activities include:
Activity 7.7: "Would You Rather..." Routine
There are two versions of this routine with systems of linear equations—choosing different strategies (e.g., Use Tables or Use Graphs) and making choices within a strategy (e.g., For which variable will I substitute? Or Which variables will I eliminate?).
Activity 6.10: The Transformer Game
This game is a fun way to give students opportunities to choose and use different basic transformations to start solving equations.
Activity 5.7: Worked Examples For Ratios and Proportions
Use this activity for worked examples for ratios and proportions. Correctly worked examples and partially solved worked examples benefit students so that they can understand strategy.
ACTIVITY 4.11: Quotient Connect Game
This game is an engaging way to practice division using Partial Quotients. It is played similarly to the classic board game Boggle as students find quotients through connected digits.