TABLE OF CONTENTS
Baruch College MTH 1030 – Final Test FA18 Overview
MTH 1030 is an algebra course in Baruch College. This course covers most basic quantitative courses at the college, including linear equations, rates of change, rational expressions, circles, functions and their graphs, inverse functions, exponential and logarithmic functions, the geometric series, an introduction to annuities, non-linear systems of equations and related applications. Therefore, the students are required to master TI 89 or TI 92 graphical calculator for this course.
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To view sample final exam questions for Baruch College MTH 1030 CLICK HERE.
Problem 1
Step 1.
Let’s split the following equation into two parts
Step 2.
The answer is .
Problem 2
Equation of a circle with radius and origin
is
.
Step 1.
Rearrange the equation to move and
terms together.
Step 2.
Find the coefficients to complete the square for and
:
Origin
The answer is .
Problem 3
Step 1.
Let’s get both parts of the equation to the same base:
Step 2.
Get exponents equal to each other:
The answer is .
Problem 4
Step 1.
Let’s simplify this logarithm into separate elements:
Step 2.
The answer is .
Problem 5
Step 1.
Square both sides of the equation:
Step 2.
Move everything to one side and solve for :
and
Step 3.
Test both answers by plugging into the original equation:
:
. Thus,
works!
:
. Thus, we must reject
.
The answer is .
Problem 6
Step 1.
Flip and
:
Step 2.
Solve for :
The answer is .
Problem 7
Step 1.
To find :
Thus,
The answer is .
Problem 8
Step 1.
To find the vertex, compute :
Step 2.
To find -intercepts, set
and solve for
:
and
x-intercepts are and
.
Step 3.
To find -intercepts, plug in
into
:
-intercept is
The answer is .
Problem 9
Step 1.
Set both top and bottom to :
and
Step 2.
Mark all of these points on a number line and test them:
Thus, the expression is less than or equal to 0 on the following intervals: .
The answer is .
Problem 10
Step 1.
Discriminant of ,
can tell everything about roots:
two complex Non-real answers.
The answer is .