MA.912.A.3.14 Solving Systems of Linear Equations
4-Function Calculator
Functions
Polynomials
Rationals-Discrete
In Your Text
Sections 6-1 to 6-6 Pages 333-367
What You Need To Know...
Solve systems of linear equations in two variables.
- The benchmark will be assessed using MC (Multiple Choice) and FR (Fill in Response) items.
- Items may ask students to write a system of equations or to solve a system of equations.
Example One
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 sandwich?
A. Each medium sandwich costs $5.69 and each large sandwich costs $6.89.
B. Each medium sandwich costs $5.69 and each large sandwich costs $6.39.
C. Each medium sandwich costs $5.39 and each large sandwich costs $6.89.
D. Each medium sandwich costs $5.39 and each large sandwich costs $6.39.
Example Two
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 = 15.36
What is the exact number of songs Macy downloaded at the $0.99 price?
Additional Examples
Reference Sheet
