Fri 10 Oct — Review for Exam 2 on A.8, A.10, Cpt 1, and
Cpt 2

**A.8 Word Problems**

Simple Interest Problems

Mixture Problems

Uniform Motion Problems

Constant Rate Job Problems

One train leaves for Mpls from Chicago at 9 pm traveling 50 mph. One hour later,
another train leaves

Mpls for Chicago traveling at 40 mph. The distance along the track is 410 miles.
At what time do they

meet?

Let t = time for fast train

Then, time for slow train is t - 1 since it left one hour later.

410 = 50t + 40(t !1)

410 = 50t + 40t ! 40

450 = 90t

5 = t

So, the time for the fast train is 5 hours. Since it left at 9 pm, it meets the
slow train

at 9 pm + 5 hours = 2 am.

Tickets to a show cost $5 for adults and $2 for kids. If 200 tickets were sold
and

$589 was collected, how many of each type of ticket was sold?

x = # kid tickets

200 - x = # adult tickets

Total Money = Money from kids + Money from Adults

589 = 2•x + 5•(200 - x)

589 = 2x + 1000 - 5x

-411 = -3x

137 = x

So, there are 137 kid tickets and 200 - 137 = 63 adult tickets sold.

**A.10 Roots**

Simplify radicals

Add and subtract radicals

Rationalize denominators of radicals

Solve radical equations

Rational exponents

Simplify:

Simplify:

**1.1 Lecture on Distance and Midpoint Formulas , which
includes:**

Rectangular (x-y) coordinates

Distance formula

Midpoint formula

**1.2 Lecture on Graphs of Equations in Two Variables , which includes:**

Graph equation by plotting points

Intercepts of a graph

Test for symmetry with respect to x-axis, y-axis, and origin

Graph y = x^3, x = y^2, and y = 1/x

**1.3 Lecture on Lines, which includes:**

Calculate and inter pret the slope of a line

Graph lines given a point and the slope

Equation of a vertical line

Equation of a horizontal line

Point-slope form of a line

Find equation of a line given two points

Slope-intercept form of a line

Identify slope and y-intercept of a line given its equation

General form of a line

Parallel lines

Perpendicular lines

**1.4 Lecture on Circles , which includes:**

Standard form

Graph a circle

General form and completing the square

**2.1 Lecture on Functions, which includes:**

Relations

Value of a function

Implicit form of a function

Domain of a function

Sums , differences , products , and quotients of functions

**2.2 Lecture on Graph of a Function, which includes:**

Identify the graph of a function

Obtain information from the graph of a function

**2.3 Lecture on Properties of Functions, which includes:**

De termine even and odd functions from a graph

Identify even and odd functions from the equation

Use a graph to determine where a function is increasing, decreasing, or constant

Local maxima and local minima

Average rate of change of a function

Secant line

**2.4 Lecture on Library of Functions & Piecewise-defined Functions, which
includes:**

Square root , cube root, absolute value, square, cube, reciprocal , greatest
integer

Piecewise-defined functions

**2.5 Lecture on Graphing Techniques & Transformations, which includes:**

Vertical shifts

Horizontal shifts

Compressions

Stretches

Reflections about x-axis and y-axis

**2.6 Lecture on Mathematical Models & Building Functions, which includes:**

Word problems on building and analyzing functions