Algebra I Unit #5 Solving and Graphing Linear Inequalities
Essential Questions:
1) How do you apply properties of inequalities?
2) How do you write and solve compound inequalities using the statements and or or?
3) How do you graph an inequality?
4) How do you solve absolute value inequalities?
Vocab:
Inequality
solution of an inequality
compound inequality with “and”
Graph of an inequality
compound inequality
linear inequality in two variables
Equivalent inequalities
absolute value equation
graph of an inequality in two variables
Compound inequality with “or”
absolute deviation
Khan Academy Sections: Comparing absolute values, finding absolute values, graphing and solving linear
inequalities, graphing linear inequalities, graphs of inequalities
Homework Check
5 points
4 points
Algebra I Section/Lesson
Assigned Problems
3 points
Day 1
Pre-Test/Word Walls/Pre-Requisite
Skills
Day 2
Day 3
5.1 Solve Inequalities Using
Addition and Subtraction
How do you solve and graph
inequalities using addition and
subtraction?
5.2 Solve Inequalities Using
Multiplication and Division
How do you solve inequalities using
multiplication and division?
Word Wall
Pre-Req. Skills p. 296 1-19 all
Pages 301-303
x: 1, 3-9, 16-19, 24, 25, 28,
32, 34 (17)
y: 1, 3-9, 11-17, 24, 25, 27, 32
(19)
Pages 308-310
X: 9-18, 30-33, 35, 36 (16)
Y: 3-12, 31, 32, 37 (19)
Day 4
5.3 Solve Multi-Step Inequalities
How do you solve multi-step
inequalities?
Day 5
No Stamp Needed
Day 6
Pages 314-316
x: 6-14 evens, 19-31 odds, 34, 40
(14)
y: 3-10, 17, 18, 23, 24, 29, 30, 34,
(15)
Quiz
Sections 5.1-5.3
5.4 Solve Compound Inequalities
How do you solve compound
inequalities?
Pages 326-329
x: 4-6, 9-19 odds, 23, 24, 33, 34,
37 (14)
y: 3-5, 9-17, 21, 23, 24, 37 (16)
Day 7
5.4 Solve Compound Inequalities
How do you solve compound
inequalities?
Day 8
5.5 Solve Absolute Value Equations
How do you solve absolute value
equations?
Day 9
5.5 Solve Absolute Value Equations
How do you solve absolute value
equations?
Day 10
Extension: Graph Absolute Value
Functions
How do you graph an absolute value
function?
Pages 326-329
x: 26-31, 40, 42, Quiz p.329: 1-8
all (17)
y: 26-31, 38, 40, 42, Quiz p.329:
1-8 all (17)
Pages 335-337
x: 7-19, 37 (14)
y: 3-17 (15)
Pages 335-337 JQ: p336 #45, #47
x: 20, 26-31, 33-35, 43, 44 (13)
y: 17, 18, 23-28, 32, 33-35, 43, 44
(15)
Page 339 Everyone 1-7 All
Day 11
No Stamp Needed
Quiz Sections 5.4-5.5
and Extension
Day 12
5.6 Solve Absolute Value
Inequalities
How do you solve absolute value
inequalities?
5.7 Graph Linear Inequalities in
Two Variables Writing Inequalities
(no graphing)
Day 13
Pages 343-345
x: 4-20 evens, 21, 25, 26, 35 (13)
y: 3-12, 15, 17, 21, 25 (14)
Pages 351-354
x: 8-15, 48-50, 56 (12)
y: 3-15, 56 (14)
How do you graph a linear
inequality in two variables?
Day 14
5.7 Graph Linear Inequalities in
Two Variables Writing Inequalities
(no graphing)
How do you graph a linear
inequality in two variables?
Day 15
No Stamp Needed
Day 16
Quiz Sections 5.6-5.7
Review Chapter 5
No Stamp Needed
Day 17
Chapter 5 Test
No Stamp Needed
Pages 351-354
x: 15, 23-35 odds, 44-46, Quiz
p354 1-9 all (20)
y: 15, 17-23, 29, 30, 44-46, Quiz
p354 1-9 all (23)
Journal Questions
Book Problems (2 points each)
1) p.303 #38
2) p. 316 #43
4) p. 331 #2
5) p. 355 #6
3) p. 329 #45
Extra Credit: p. 353 #55, p.355 #1
ACT Questions (2 points each)
6) What product results when you multiply the two solutions of
|7n + 1| = 3n -11?
a) 3
b) -3
c) -6
d) 9
e) -12
7) Which of the following is the solution set for n for the inequality |5 – 2n| > 9?
a) 2 < n < 7
b) -2 < n < 7
c) -7 < n < 2
d) n < -2 or n > 7
e) n < -7 or n > 2
8. In a piano competition, a pianist must perform a sonata that lasts no less than 8 minutes and no
more than 10 minutes. Which inequality represents the durations d (in minutes) of sonatas that can be
performed?
a) 8 < d < 10
b) d < 8 or d > 10
c) 8 < d < 10
d) d < 8 or d > 10
𝑥
9. The solution to the inequality 5 − 2 ≤ 4 is:
a) [2, ∞]
b) (2, ∞)
c) [2, ∞)
d) (−∞, 1)
e) [−∞, 1]
10. The solution to the inequality 2 ≤ 2𝑥 + 1 < 3 is:
a) (-.5, 1]
b) [-.5, 1)
c) [-.5, 2)
d) (.5, 1]
e) [.5, 1)