Remarks
Example 1: Solve the following system of equations by substitution:
Example 2: Graph the solution for the following system of inequalities:

Example 3: Solve the following system of equations:

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Item Type(s):
This benchmark may be assessed using:
MC
,
FR
item(s)
Also Assesses: - Clarification :
Students will solve systems of linear equations in two variables. - Content Limits :
Items will not specify a method for solving systems of linear equations, such as substitution or elimination.
Items will not assess systems of linear inequalities.
Items will not assess systems of linear equations in three variables.
Items may ask students to write and/or solve systems of linear equations in two variables.
Items may ask students to solve systems of linear equations given a graph of the system.
In items with equations given, equations may be in the stem or options.
- Response Attributes :
Fill-in response items may ask students to provide the x-coordinate (or y-coordinate) of a solution to a system of linear equations.
MA.912.A.3.13 Use a graph to approximate the solution of a system of linear equations or inequalities in two variables with and without technology.
MA.912.A.3.15 Solve real-world problems involving systems of linear equations and inequalities in two and three variables.
- Test Item #: Sample Item 1
- Question: Russ bought 3 medium and 2 large submarine sandwiches for a total of $29.95. Stacy bought
4 medium and 1 large submarine sandwiches for a total of $28.45.
Which statement shows the cost of each medium and each large submarine sandwich? - Difficulty: N/A
- Type: MC: Multiple Choice
- Test Item #: Sample Item 2
- Question:
A website that sells songs for downloading increased its price per song from $0.99 to $1.29. Macy spent $15.36 downloading songs during the month of the price increase. She downloaded 4 more songs at $0.99 than at $1.29. The set of equations below represents the situation where x is the number of songs Macy downloaded at $0.99 and y is the number of songs she downloaded at $1.29.
x = y + 4
0.99x + 1.29y = 15.36What is the exact number of songs Macy downloaded at the $0.99 price?
- Difficulty: N/A
- Type: FR: Fill-in Response