Remarks
Example 1: Solve the following equation for x:x² - 3x + 2=0
Example 2: Solve the following equation for x:
x² - 7x + 9=0
-
Item Type(s):
This benchmark may be assessed using:
MC
,
FR
item(s)
Also Assesses: - Clarification :
Students will solve quadratic equations over the set of real numbers. - Content Limits :
Items must have real solutions only.
Quadratic equations must have integer coefficients only.
Items may assess special forms like the difference of squares and perfect square trinomials.
Items will not require the use of the “completing the square” method of solving quadratic equations.
- Stimulus Attributes :
Items may be set in either real-world or mathematical contexts. - Response Attributes :
MC options may be given in the form that results from application of the quadratic formula, e.g.,
MC options may be given using set notation.
Fill-in response items may ask the student to provide the greater (or lesser) of two solutions explicitly or implicitly.
Fill-in response items may have a negative answer.
MA.912.A.1.8 Use the zero product property of real numbers in a variety of contexts to identify solutions to equations.
MA.912.A.7.8 Use quadratic equations to solve realworld problems.
- Test Item #: Sample Item 1
- Question: Jeannie solved the quadratic equation shown below by factoring.x² + 2x - 8 = 0Which of the following shows a step in solving the equation shown?
- Difficulty: N/A
- Type: MC: Multiple Choice
- Test Item #: Sample Item 2
- Question: A ball is kicked from ground level into the air. Its height y, in feet, after x seconds can be represented by the equation y = 40x - 16x². What is the total elapsed time, in seconds, from the time the ball is kicked until it reaches ground level again?
- Difficulty: N/A
- Type: FR: Fill-in Response
Related Access Points
Related Resources
Educational Game
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