Equations and Problem Solving

11th GradeMath56 min

Learning Objective

I can create and solve algebraic equations to model and solve real-world problems.

Lesson Flow

Watch Video

6 min

Algebraic Word Problems

Professor Dave Explains

Guided Notes

11 min

Key concepts students will learn:

  • In algebraic word problems, it is important to assign variables to represent unknown quantities and then construct equations based on the given information.

  • When solving word problems with consecutive multiples, if the first number is X, then the next consecutive multiple of three would be X + 3, and the one after that would be X + 6.

  • If J = R + 6 and 2R + 3J = 68, you can substitute R + 6 for J in the second equation and then distribute and simplify to solve for R.

Practice

17 min

12 questions • Short answer

Exit Ticket

5 min

Tim and Tom are brothers. Tom is 5 years older than Tim. The sum of their ages is 35. Write an equation to represent this situation, then solve the equation to find Tim's age.

Teacher Guide

Get the complete package:

  • Answer keys for all questions
  • Differentiation strategies
  • Extension activities
  • Printable student handouts