Intermediate Algebra Unit #2: Linear Equations and Functions
Essential Questions:
1) How can I represent relations and functions?
2) How can I graph linear equations and inequalities in two variables?
3) How car I write linear equations and inequalities in two variables?
Vocab: relation
range
parallel lines
slope-intercept form
scatter plot
best-fitting line
reflection
function
slope
perpendicular lines
standard form
positive/negative correlation
absolute value function
independent/dependent variables
domain
function notation
x and y intercepts
point-slope form
correlation coefficient
translation
Khan Academy Sections: Understanding function notation, domain and range from a graph, identifying slope of a
line, equations of parallel and perpendicular lines, slope intercept form, converting between slope-intercept and
standard form, graphing linear equations, graphing and solving linear inequalities.
Homework Check
5 points
4 points
Algebra II Section/Lesson
Assigned Problems
3 points
Day 1
Day 2
Journal Questions/Pre-Test/
Prerequisite Skills
Journal Questions/Pre-Test/
Prerequisite Skills
2.1 Represent relations and functions
Pages 76-79
(20)
6-8, 11, 12, 17, 18, 22,
23, 34, 35, 43, 44, 52, 54, 56, 57,
63, 65
*How do you graph relations and
functions?
Day 3
2.2 Find slope and rate of change
Day 4
*How do you determine whether two
non-vertical lines are parallel or
perpendicular?
2.3 Graph equations of lines (#1)
Pages 86-88
(19)
6-14even, 19-29odd
42, 45, 56-59, 62, 67
Pages 93-96
(19)
10-20even, 21, 22, 33,
34, 39, 41, 59, 72-77
*How do you graph an equation in
slope-intercept form?
Day 5
2.3 Graph equations of lines (#2)
*How do you graph an equation in
standard form?
(15)
79-81
Pages 93-96
24-26, 35-38, 46-50,
Day 6
2.4 Write equations of lines
Pages 101-104
(17)
6-8, 10-16even, 20-23,
27, 28, 30-32, 50
*How do you write an equation of a line
in multiple forms?
Day 7
No Stamp Needed
Day 8
Quiz Lessons 2.1-2.4
2.6 Draw scatter plots and best-fitting
lines (#1)
Work on journal questions
(17)
Pages 117-120
2-9, 18, 30-33, 36-39
*What does correlation of a data set tell
us about the data?
Day 9
2.6 Draw scatter plots and best-fitting
lines (#2)
(12)
43-46
Pages 117-120
10-13, 16, 17, 24, 27,
*How can you tell if a set of data point
can be modeled by a best-fitting line?
Day 10
2.7 Use absolute value functions and
transformations (#1)
*How do you graph absolute value
functions and how to the values of a, h,
and k affect the graph?
Day 11
2.7 Use absolute value functions and
transformations (#2)
(11)
Pages 127-129
1, 5-13odd, 37, 45-48
*Must identify the vertex for all
graphs
(11)
Pages 127-129
15-20, 29, 30, 52-54
(18)
Pages 135-138
3-14, 19, 20, 58-61
(12)
Pages 135-138
15-18, 29, 30, 1-6 (quiz)
*How do you write equations for graphs
of absolute value functions?
Day 12
2.8 Graph linear inequalities in two
variables (#1)
*What does a dashed boundary line on
the graph of an inequality represent?
Day 13
2.8 Graph linear inequalities in two
variables (#2)
*How do I graph linear inequalities in
standard form?
Day 14
No Stamp Needed
Quiz Lessons 2.6-2.8
Work on journal questions
No Stamp Needed
Review Day
Study for test
Day 15
Day 16
Journal Question Work Day
No Stamp Needed
*How can different problem solving
strategies be used to solve word
problems?
Work on journal questions or
review for the test
Day 17
No Stamp Needed
Unit 2 Test
Finish journal questions!
Journal Questions (2 pts each)
Book Problems:
p79 #49, p88 #48, p106 #5, p139 #6(a-c)
Extra Credit:
p106 #2, p139 #1
ACT Prep: (Only 0.5 pts given for correct answer. The only 1.5 pts must come from sufficient and correct
work shown)
1) Assume the table below defines the function f(x).
Inputs
1
2
3
Outputs
3
2
1
4
2
5
3
6
4
If f(x) = 3, then x could be:
I.
1
II.
2
III.
5
(A)
(B)
(C)
(D)
(E)
I only
II only
III only
I and II only
I and III only
2) Line l is graphed in the standard (x, y) coordinate plane as shown. If the equation for line l is written
in the form y = mx + b, what of the following is true about m and b?
(A)
(B)
(C)
(D)
(E)
m and b are both positive
m is negative and b is positive
m is positive and b is negative
Either m or b must equal 0
m and b are both negative
y
l
x
3) Which ordered pair is NOT a solution of the linear inequality −𝑥 + 2𝑦 > 10?
(A)
(0, 10)
(B)
(2, 12)
(C)
(-4, 4)
(D)
(-3, 5)
(E)
(-10, 0)
4) Which of the following equations has a graph that passes through (1, -3) and is perpendicular to 𝑥 +
𝑦 = 10?
(A)
𝑥 + 𝑦 = −2
(B)
𝑥 − 𝑦 = −2
(C)
𝑥+𝑦 =4
(D)
𝑥−𝑦 =4
(E)
𝑥=1