Remarks
Example: It costs an initial fixed cost of $2 plus an additional $1.50 per mile to rent a taxi. Which equation represents the method for calculating the total cost of a taxi ride? What is the total cost for a 5-mile trip?-
Item Type(s):
This benchmark may be assessed using:
MC
,
GR
item(s)
Also assesses MA.7.A.5.2 Solve non-routine problems by
working backwards.
- Clarification :
Students will identify the next step needed to solve a linear equation.
Students will use different strategies, including working backwards, to solve problems that can be represented as a one- or two-step linear equation. - Content Limits :
Items involving finding a solution should be limited to a variable on one side of the equation.Items identifying formulating an equation for a situation may involve two variables.
Items may not exceed two (of the four) operations in one linear equation.
Items may not include irrational coefficients.
- Stimulus Attributes :
Items should be set in a real-world or mathematical context.
Items may include equations, graphs, tables, or real-world situations. - Response Attributes :
Negative grids will be used in this benchmark.
- Test Item #: Sample Item 1
- Question:
- Difficulty: N/A
- Type: MC: Multiple Choice
- Test Item #: Sample Item 2
- Question: When Eric became a member of an exercise gym, he paid a one-time fee of $250. He then had to pay $79.95 per month. So far, Eric has paid a total of $969.55, not including tax. What is the number of months for which Eric paid?
- Difficulty: N/A
- Type: GR: Gridded-Response
Related Access Points
Related Resources
Educational Game
Tutorials
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
Tutorials
This video models solving equations in one variable with variables on both sides of the equal sign.
Type: Tutorial
This Khan Academy presentation models solving two-step equations with one variable.
Type: Tutorial
Introduction to solving one variable multiplication equations of the form px = q.
Type: Tutorial
Parent Resources
Tutorials
This video models solving equations in one variable with variables on both sides of the equal sign.
Type: Tutorial
Introduction to solving one variable multiplication equations of the form px = q.
Type: Tutorial