1. CA Standard 6.0 CA Standard 7.0
Students graph a linear equation and compute the x- and y- intercepts.
They are also able to sketch the region defined by linear inequalities.
CA Standard 7.0
Students verify that a point lies on the line, given an equation of the line.
Students are able to derive linear equations by using the point slope formula.

2. y = mx + b
slope
y-intercept
(0, y) b
rise
run m

3. y > mx + b
y < mx + b
Shade up
Shade down

4. Ex. 1:
a) Graph
(0, 5) b -2 1 m

5. Ex. 1:
b) Graph
(0, 3) b m

6. Ex. 2: Which inequality is shown in the graph below?

7. CA Standard 9.0
Students solve a system of two linear equations in two variables algebraically
and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets.

8. y = 2(-13) – 9 y = -26 – 9 y = -35 2x – 9 = 4 + 3x –9 = 4 + x –13 = x
Ex. 3: What is the solution to the system?
y = 2(-13) – 9
y = -26 – 9
y = -35
2x – 9 =
4 + 3x
–9 =
4 + x
A) (5, 19)
B) (-5, -11)
C) (-13, -35)
D) (13, 42)
–13 = x

9. Ex. 4: Graph the system of inequalities:
(0, 5) b -3 1 m
(0, -7) b 3 1 m

10. 2 >
4(-1) – 2
2 <
-2(-1) + 1
2 > –6
2 < 3

11. Board Game

13. 9
??????????
Like Ex #1b or Ex #2

14. 10
??????????
Like Ex #4

15. 11
??????????
Like Ex #5, but with =
??????????

16. 12
??????????
Like Ex #5
??????????

18. Battleship: “You sunk my battleship!”
Sorry: “The game of sweet revenge”
Chutes and Ladders: “The classic up and down game”
Apples to Apples: “The game of hilarious comparisons!”
Scrabble: “Every word’s a winner!”