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Grade 10
Develop algebraic and graphical reasoning through the study of relations
16. Solve problems involving systems of linear equations in two variables graphically and algebraically
16.2 Unknown number related questions in linear equations
Unknown-Number Word Problems
Solve unknown-number word problems, like consecutive integers, by naming the first unknown and writing an equation.
What You'll Learn
Name the first unknown integer as n.
Consecutive integers are written n, n+1, n+2, and so on.
Add the expressions and set them equal to the given total.
Solve the resulting linear equation for n.
Consecutive even or odd integers use steps of 2 instead of 1.
What You'll Practice
1
Finding two numbers given their sum and a multiplicative relationship
2
Solving systems of equations with multiple conditions about two unknowns
3
Translating age word problems into algebraic equations
4
Working with fractional solutions in number relationship problems
Why This Matters
Translating real-world relationships into equations is essential for solving practical problems in science, economics, and engineering. Mastering unknown number problems strengthens your algebraic reasoning and prepares you for advanced topics like optimization and modeling.
This Unit Includes
3 Video lessons
Practice exercises
Learning resources
Skills
Linear Equations
Word Problems
Systems of Equations
Substitution Method
Elimination Method
Variable Assignment
Age Problems
MB Curriculum Aligned