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Essential Question - Big Idea

Concept

Suppose you are saving up to buy a leather jacket that costs $250. You currently have $90 put away, and you're saving at a rate of $40 per month. Can you write an equation to represent this situation and then solve it in two steps to find the number of months needed to reach your goal? In this Concept, you'll learn how to solve problems just like this.

Common Core

  • MAT-HS.A-CED.01 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
  • MAT-HS.A-CED.02 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
  • MAT-HS.A-REI.01 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
  • MAT-HS.A-REI.03 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
  • MAT-HS.A-REI.05 Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

Learning Objectives

    • Solve a two-step equation using addition, subtraction, multiplication, and division.
    • Solve a two-step equation by combining like terms.
    • Solve real-world problems using two-step equations.