Equations and Problem Solving

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Objective

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

Part 1 of 4

Warm-up video

Professor Dave Explains · 5:38Vetted channel

We don't generate video — this one is by Professor Dave Explains on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

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

  2. 2

    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.

  3. 3

    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.

Part 3 of 4

Practice

12 questions

1

Define the terms variable and equation as they relate to algebraic problem-solving.

2

Explain the general strategy for translating a word problem into an algebraic equation.

Part 4 of 4

Exit ticket

Quick comprehension check

“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.”

Sample answer included in the free materials

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