MA.7.A.3.3Archived Standard

Formulate and use different strategies to solve one-step and two-step linear equations, including equations with rational coefficients.

Remarks

Example: It costs an initial fixed cost of $2 plus an additional $1.50 per mile to rent a taxi. Which equation represents the method for calculating the total cost of a taxi ride? What is the total cost for a 5-mile trip?
General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 7
Body of Knowledge: Algebra
Idea: Level 2: Basic Application of Skills & Concepts
Big Idea: BIG IDEA 3 - Develop an understanding of operations on all rational numbers and solving linear equations.
Date Adopted or Revised: 09/07
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes
Test Item Specifications
  • Item Type(s): This benchmark may be assessed using: MC , GR item(s)
  • Also assesses MA.7.A.5.2 Solve non-routine problems by working backwards.
  • Clarification :
    Students will identify the next step needed to solve a linear equation.

    Students will use different strategies, including working backwards, to solve problems that can be represented as a one- or two-step linear equation.
  • Content Limits :
    Items involving finding a solution should be limited to a variable on one side of the equation. 

    Items identifying formulating an equation for a situation may involve two variables. 

    Items may not exceed two (of the four) operations in one linear equation. 

    Items may not include irrational coefficients.

  • Stimulus Attributes :
    Items should be set in a real-world or mathematical context.

    Items may include equations, graphs, tables, or real-world situations.
  • Response Attributes :
    Negative grids will be used in this benchmark.
Sample Test Items (2)

  • Test Item #: Sample Item 2
  • Question: When Eric became a member of an exercise gym, he paid a one-time fee of $250. He then had to pay $79.95 per month. So far, Eric has paid a total of $969.55, not including tax. What is the number of months for which Eric paid?
  • Difficulty: N/A
  • Type: GR: Gridded-Response

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Educational Game

Timed Algebra Quiz:

In this timed activity, students solve linear equations (one- and two-step) or quadratic equations of varying difficulty depending on the initial conditions they select. This activity allows students to practice solving equations while the activity records their score, so they can track their progress. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Educational Game

Tutorials

Solving Equations With the Variable on Both Sides.:

This video models solving equations in one variable with variables on both sides of the equal sign.

Type: Tutorial

Solving Equations with One Variable :

This Khan Academy presentation models solving two-step equations with one variable.

Type: Tutorial

Simple Equations:

Introduction to solving one variable multiplication equations of the form px = q.

Type: Tutorial

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Educational Game

Timed Algebra Quiz:

In this timed activity, students solve linear equations (one- and two-step) or quadratic equations of varying difficulty depending on the initial conditions they select. This activity allows students to practice solving equations while the activity records their score, so they can track their progress. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Educational Game

Tutorials

Solving Equations With the Variable on Both Sides.:

This video models solving equations in one variable with variables on both sides of the equal sign.

Type: Tutorial

Solving Equations with One Variable :

This Khan Academy presentation models solving two-step equations with one variable.

Type: Tutorial

Simple Equations:

Introduction to solving one variable multiplication equations of the form px = q.

Type: Tutorial

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.

Tutorials

Solving Equations With the Variable on Both Sides.:

This video models solving equations in one variable with variables on both sides of the equal sign.

Type: Tutorial

Simple Equations:

Introduction to solving one variable multiplication equations of the form px = q.

Type: Tutorial