**8th Grade (A/B)**

**5.4 Extension: Special Functions**- A piecewise function is a function defined by two or more equations. Each piece of the function applies to a different part of the domain
- f(x) = x – 2, if x <= 0 and 2x + 1, if x > 0

- Step function is a piecewise function defined by constant values over its domain. An real-world example are parking garage rates.
- f(x) = 6, if 0 < x <= 1; 12, if 1 < x <= 2; 15, if 2 < x <= 3

- The absolute value function can f(x) = |x| can be written as a piecewise function
- f(x) = -x, if x < 0; 0, if x = 0; x, if x > 0

**Students should be able to graph f(x) = |x + 2| – 3 and compare it to the graph of y = |x|**

- A piecewise function is a function defined by two or more equations. Each piece of the function applies to a different part of the domain
- Homework – Student textbook, page 235, #s 12 – 30

**8th Grade (C)**

**4.3 Solving Systems of Linear Equations by Elimination**

- This is the third technique for solving a system of linear equations.
- Step 1: Multiply, if necessary, one or both equations by a constant so at least one pair of like terms has the same or opposite coefficients
- Step 2: Add/subtract the equations to eliminate one of the variables
- Step 3: Solve the resulting equation for the remaining variable
- Step 4: Substitute the value from Step 3 into one of the original equations and solve

- Students should be able to solve each system of linear equations by elimination
- 5x – 3y = 18 and -5x + 3y = -22
- 2x + 4y = 20 and -3x + 4y = 30
- 4x – 2y = 2 and 7x – 3y = 6
- You have 33 quarters and dimes in a jar. The jar contains a total of $4.95. Write/solve a system of equations to find the number x of dimes and the number y of quarters

- Homework: Student Textbook, page 169, Activity 3