Systems of Equations: Real-World Algebra Problems Using Substitution

This engaging activity allows students to gain a deeper understanding of solving systems of equations (with two variables and three variables) in your middle school algebra class.

Using real-life examples such as shopping, basketball games, and YouTube videos, students learn how to solve a system of equations with the substitution method. They also practice writing equations to represent word problem scenarios. There is even a system of equations with 3 variables included for students who need an extra challenge. A step-by-step sample question and a detailed answer key are included so that this activity requires no prep!

Grades to Use With:

This lesson is designed for students in grades 7-10 in regular middle/high school classes or students in special education high school classes who are able to access some algebra topics.

Standards:

CCSS8.EE.C.8b

Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3𝘹 + 2𝘺 = 5 and 3𝘹 + 2𝘺 = 6 have no solution because 3𝘹 + 2𝘺 cannot simultaneously be 5 and 6.

CCSS8.EE.C.8c

Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.

CCSSHSA-REI.C.6

Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

If you enjoy this math assignment, check out some other ones in my store like these:

Household Budget Project: Taxes, Insurance, Loans, Groceries, and More!

Decimal Operations Assessment: Add, Subtract, Multiply, and Divide

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A total of 5 pages in PDF Format:

3 page worksheet with step-by-step sample question

2 page answer key