1) The document provides homework assignments and notes from Lesson 5-1 on solving inequalities and graphing their solutions on a number line. Key steps are to isolate the variable and determine whether to fill in or leave open the circle on the number line based on < or > symbols. 2) Examples are given to solve inequalities algebraically and graph their solutions, including problems defining a variable to represent an unknown number. 3) Students are assigned problems from sections 5.1 and 5.2 due on Monday for extra credit on Chapter 4 test.

1. Lesson 5­1.notebook December 13, 2012
Assignment:
1­­>L5.1, pg. 286, #1­6, 9, 12­23, 30­31 ­ Due Monday (12/17)
2­­>L5.2, pg. 293, #2­30 (evens) ­ Due Monday (12/17)
3­­>Chapter 4 test signed for extra credit
1

2. Lesson 5­1.notebook December 13, 2012
Lesson 5.1 WarmUp:
Write an equation in point­slope form for the line that
passes through each point with the given slope.
1) (5, 3), m = 7
Write each equation in standard form.
2) y ­ 10 = 2(x ­ 8)
3) 2y + 3 = ­1/3(x ­ 2)
Write each equation in slope­intercept form.
4) y ­ 11 = 3(x + 4)
5) y + 4 = 3(3x + 3)
2

3. Lesson 5­1.notebook December 13, 2012
Lesson 5.1:
*To solve inequalities...use the same "steps" that you would for solving
equations...
*ISOLATE the variable
*To "undo" addition ­ subtract
*To "undo" subtraction ­ add
*For < or >...do NOT fill in the circle on the graph
*For < or >...DO fill in the circle on the graph
3

4. Lesson 5­1.notebook December 13, 2012
*Key phrases:
at most... <
no more than... <
at least... >
no less than... >
4

5. Lesson 5­1.notebook December 13, 2012
Lesson 5.1 examples:
Solve each inequality. Then graph the solution on a number line.
A) x ­ 5 > 7
B) 12 < p + 8
­10 ­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 7 8 9 10
C) 9 + g > 10
­10 ­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 7 8 9 10
5

6. Lesson 5­1.notebook December 13, 2012
Define a variable, write an inequality, and solve each problem. Check your
solution.
D) A number increased by 8 is at least 12.
E) A number decreased by 10 is no more than 5.
6