General Information
Test Item Specifications
- 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.
MA.912.A.3.2 Identify and apply the distributive, associative, and commutative properties of real numbers and the properties of equality
Students will solve linear equations in one variable.
Equations must be presented in all items.
Items may include equations with the variable on both sides of the equation.
Items may include applications of commutative, associative, distributive, and identity properties.
Items may be set in either real-world or mathematical contexts
Sample Test Items (2)
| Test Item # | Question | Difficulty | Type |
| Sample Item 1 | 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? |
N/A | MC: Multiple Choice |
| Sample Item 2 | 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? |
N/A | FR: Fill-in Response |
Related Resources
Educational Game
| Name | Description |
| 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. |
Lesson Plan
| Name | Description |
| Solving Linear Equations in One Variable | This lesson unit is intended to help you assess how well students are able to: It also aims to encourage discussion on some common misconceptions about algebra. |
Student Resources
Educational Game
| Name | Description |
| 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. |