Remarks
Example 1: Solve the following equation for x: 3(2x+5) = 10x-3+2xExample 2: Solve the following equation for m: ½m + 2(¾m-1)=¼m+6
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Item Type(s):
This benchmark may be assessed using:
MC
,
FR
item(s)
Also Assesses: - 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
MA.912.A.3.2 Identify and apply the distributive, associative, and commutative properties of real numbers and the properties of equality
- 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) + 1.8Which 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) = 30tWhat is the distance, in miles, from Bill’s house to the baseball stadium?
- Difficulty: N/A
- Type: FR: Fill-in Response
Related Access Points
Related Resources
Educational Game
Lesson Plan
Student Resources
Educational Game
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