# Equations and Inequalities

The exam will be based upon your homework, the material we
covered in class, along with

the material in the textbook. It will be in class on Thursday, March 5, and you
will have

seventy five minutes to complete it. This study guide provides an overview of what
will be

on the exam.

**Chapter 3.1 Reading Graphs, Plotting Points, and
Scaling Graphs. **Students**
**should be able to perform each of the following tasks:

(1) Use graphs to answer questions and problem solve

(2) Use and de ne the following vocabulary: graph, plot, axes, coordinates,
ordered

pairs, x- and y-axes

(3) Plot points and label the four quadrants of a coordinate plane

(4) Use the window operation on the TI to change the viewing window

**Chapter 3.2 Graphing Equations. **Students should be able to
perform each of the

following tasks:

(1) Determining if an ordered pair is a solution to an
equation

(2) Graph linear equations by plotting solutions (box p 176)

(3) Graph equations using the TI : Y=, ZOOM, GRAPH

**Chapter 3.3 Linear Equations and Intercepts. **Students
should be able to perform

each of the following tasks:

(1) Know the Standard Form of a Linear Equation Ax + By =
C and that all linear

equations can be written in this form.

(2) Find Intercepts: y- intercept is where x = 0, x-intercept is where y = 0

(3) Use intercepts to graph an equation

(4) Read and graph vertical and horizontal lines: Ax = C vs. By = C

**Chapter 3.4 Rates. **Students should be able to perform each
of the following tasks:

(1) Know that a rate is a ratio that indicates how two
quantities change with respect

to each other

(2) Find the units associated with a rate

(3) Find a rate (including units) in a given a word problem

(4) Visualize rates by graphing the information given in a word problem

**Chapter 3.5 Slope. **Students should be able to perform each
of the following tasks:

(1) Know that rate and slope are related

(2) Read the slope o of a given graph

(3) Know the formula for slope :

(4) Recognize the equations and graphs of both horizontal and vertical lines.
Horizontal

lines have a slope of zero , vertical lines have an undefined slope

**Chapter 3.6 Slope-Intercept Form.** Students will be able to
perform each of the fol-

lowing tasks :

(1) Graph a line using the y-intercept and slope

(2) Know the Slope-Intercept form of the line: y = mx + b

(3) Graph a given an equation of a line (standard form or slope-intercept)

(4) Know that two lines with different y -intercepts are parallel if they have the
same

slope

(5) Know that two lines with different y-intercepts are perpendicular if the
product of

their slopes is -1

(6) Find and graph a second line that is parallel or perpendicular to a given
line

(7) Use the TI to square the window : ZOOM ⇒ 5:ZSquare

**Chapter 3.7 Point-Slope Form; Introduction to Curve
Fitting . **Students will be

able to perform each of the following tasks:

(1) Understand the Point-Slope equation: y - y_{0} = m(x -
x_{0})

(2) Given a point and a slope, find the equation of the line

(3) Find a line that is parallel (perpendicular) to a given line that passes
through a

particular point

(4) Find an equation for the line that passes through two given points

(5) Use interpolation and extrapolation to calculate the coordinates of an
unknown

point

(6) Plot data points using the TI STAT ⇒ EDIT ⇒
1:Edit...

(7) Find the line of best t using the linear regression opperation on the TI:
STAT ⇒

CALC ⇒ 4:LinReg(ax+b) ⇒
LinReg(ax+b) L1,L2,Y1

**Chapter 3.8 Functions. **Students will be able to
perform each of the following tasks:

(1) The definition of a relation vs. the definition of a
function

(2) Determine if a relation is a function

(3) Vertical Line Test

(4) Find the domain and range of a relation/function (Use set-builder or
interval no-

tation and graph)

(5) Find the output of a piecewise-defined function

(6) Apply knowledge of linear equations to solve application problems

Remember the five problem solving steps: Familiarize, Translate, Carry Out, Check, State

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