General Information
Test Item Specifications
Students will solve a one- or two-step linear equation, inequality (e.g. <, ≤ , >, or ≥), or formula.
Students will translate a real-world situation to a mathematical equation or inequality
Students will choose a representative graph for a given equation or inequality.
Items may include patterns, graphic models, situations, number lines, graphs, and relationships.
Items may include up to three variables, if the third variable is isolated on one side, as when using a formula (e.g., d rt).
Items may have up to two operations, with no more than three procedural steps needed to evaluate the equation, expression, and/or inequality.
Items involving the graphing of inequalities will be limited to one procedural step.
Graphs must be limited to the first quadrant.
In items involving inequalities, the inequality must include only one variable and may be on a number line.
Items that involve solving inequalities may only use positive coefficients.
Items should be set in a real-world or mathematical context.
Formulas used in items need not be limited to those found on the reference sheet or to commonly used mathematical formulas.
Sample Test Items (2)
Test Item # | Question | Difficulty | Type |
Sample Item 1 | Five students practiced the long jump for an upcoming track meet. Their coach plotted the shortest distance and the longest distance jumped during practice.![]() Let d represent any distance jumped during practice. Based on the graph above, which inequality best describes the range of possible values of d? |
N/A | MC: Multiple Choice |
Sample Item 2 | Mr. Schmidt is purchasing film for his camera. With the roll of film that is in his camera now, he can take 18 pictures. Mr. Schmidt wants to purchase several rolls of film that can each produce up to 36 pictures. The equation below can be used to determine p, the total number of pictures Mr. Schmidt can take based on r, the number of rolls of film he purchases. p = 36r + 18 If Mr. Schmidt purchases 3 rolls of film, what is the total number of pictures he can take? |
N/A | GR: Gridded-Response |
Related Resources
Educational Software / Tool
Name | Description |
Free Graph Paper | A variety of graph paper types for printing, including Cartesian, polar, engineering, isometric, logarithmic, hexagonal, probability, and Smith chart. |
Tutorials
Name | Description |
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. |
Solving Equations with One Variable | This Khan Academy presentation models solving two-step equations with one variable. |
Simple Equations | Introduction to solving one variable multiplication equations of the form px = q. |
Video/Audio/Animation
Name | Description |
Averages | This Khan Academy video tutorial introduces averages and algebra problems involving averages. |
Virtual Manipulative
Name | Description |
Graphing Equations Using Intercepts | This resource provides linear functions in standard form and asks the user to graph it using intercepts on an interactive graph below the problem. Immediate feedback is provided, and for incorrect responses, each step of the solution is thoroughly modeled. |
Student Resources
Tutorials
Name | Description |
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. |
Solving Equations with One Variable : | This Khan Academy presentation models solving two-step equations with one variable. |
Simple Equations: | Introduction to solving one variable multiplication equations of the form px = q. |
Video/Audio/Animation
Name | Description |
Averages: | This Khan Academy video tutorial introduces averages and algebra problems involving averages. |
Virtual Manipulative
Name | Description |
Graphing Equations Using Intercepts: | This resource provides linear functions in standard form and asks the user to graph it using intercepts on an interactive graph below the problem. Immediate feedback is provided, and for incorrect responses, each step of the solution is thoroughly modeled. |
Parent Resources
Tutorials
Name | Description |
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. |
Simple Equations: | Introduction to solving one variable multiplication equations of the form px = q. |
Video/Audio/Animation
Name | Description |
Averages: | This Khan Academy video tutorial introduces averages and algebra problems involving averages. |