MA.912.A.3.1Archived Standard

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Solve linear equations in one variable that include simplifying algebraic expressions.

Remarks

Example 1: Solve the following equation for x: 3(2x+5) = 10x-3+2x

Example 2: Solve the following equation for m: ½m + 2(¾m-1)=¼m+6
General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Algebra
Idea: Level 2: Basic Application of Skills & Concepts
Standard: Linear Equations and Inequalities - Solve linear equations and inequalities.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
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 , FR item(s)
    • Also Assesses:

    MA.912.A.3.2 Identify and apply the distributive, associative, and commutative properties of real numbers and the properties of equality
  • Clarification :

    Students will solve linear equations in one variable.

    Equations must be presented in all items.

  • Content Limits :

    Items may include equations with the variable on both sides of the equation.

    Items may include applications of commutative, associative, distributive, and identity properties.

  • Stimulus Attributes :
    Items may be set in either real-world or mathematical contexts
Sample Test Items (2)
  • Test Item #: Sample Item 1
  • Question:

    Mario needs to cut three book shelves from a board that is 1.8 meters long. The second shelf is 15 centimeters longer than twice the length of the first shelf. The remaining shelf is 5 centimeters longer than the first shelf. The equation below represents this situation, where x is the length of the first shelf in meters.

    x + (2x + 0.15) + (x + 0.05) + 1.8

    Which of the following is the length, in meters, of the first shelf?

  • Difficulty: N/A
  • Type: MC: Multiple Choice
  • Test Item #: Sample Item 2
  • Question:

    Bill is planning to drive from his house to a baseball stadium and arrive in time for the beginning of the championship game. His arrival time depends on the traffic. If traffic is light, he will travel at an average speed of 50 miles per hour and arrive 1 hour early. If traffic is heavy, he will travel at an average speed of 30 miles per hour and arrive on time. The equation below can be used to model this situation, where t represents Bill’s driving time, in hours.

    50(t - 1) = 30t

    What is the distance, in miles, from Bill’s house to the baseball stadium?

  • Difficulty: N/A
  • Type: FR: Fill-in 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

Lesson Plan

Solving Linear Equations in One Variable:

This lesson unit is intended to help you assess how well students are able to:

  • Solve linear equations in one variable with rational number coefficients.
  • Collect like terms.
  • Expand expressions using the distributive property.
  • Categorize linear equations in one variable as having one, none, or infinitely many solutions.
It also aims to encourage discussion on some common misconceptions about algebra.

Type: Lesson Plan

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

Parent Resources

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