Name: _
MAP 103
Date: _
Spring 2017
Numbers
Definition:
A number is an idea, usually used to represent an amount. Numbers are represented using symbols such
as 1,
3
, , 8.7, and so on. Some groups of numbers are vital to mathematics and, as such, are
2
gr
Name: _
MAP 103
Date: _
Week #9: Lines
Thus far in the course, we have been working with equations that involve one variable, mostly x. The tools that we have
developed have allowed us to solve these equations for values of x that make the equation true.
Name: _ _
MAP 103
Problem 1:
a)
Date: _
Week 10: Systems of Linear Equations
On the set of axes below, graph both of the lines represented by the two equations in slopeintercept form.
y 2x 1
b)
and
y x 7
The lines intersect at the point _
A system of line
Name: _
MAP 103
Date: _
Week 7: Absolute Value and Inequalities
Absolute Value
The absolute value of a number a, denoted a is
_
_
Example 1:
a)
b)
c)
d)
The absolute value of a difference of two numbers is _
_
Example 2:
Evaluate the expressions geometric
Name: _
MAP 103
Jason Cetron
Date: _
Spring 2017
Week 4: Translating
Review:
1)
Consider the rectangle in the diagram to the right:
a)
Find an algebraic expression that represents the perimeter of the rectangle.
Simplify your answer.
b)
Find an algebraic
Name: _
MAP 103
Date: _
Week 12 & 13: Quadratics
Recall:
A polynomial expressionl is an expression that can be written as the sums and differences of monomials
where each monomial:
is a constant or
is a constant times a variable, where the variable is r
Name: _
MAP 103
Date: _
Week 6: Translating Sentences into Equations
Thus far, we have learned how to solve various forms of linear equations by using tools that we obtained by studying
various types of mathematical expressions. Also, weve learned how to
Name: _
MAP 103
Date: _
Week 13:
Polynomial Operations and the Quadratic Formula
Week 14:
Graphs of Quadratics: Parabolas
Review:
Let
1)
2)
f x 2x 1 ,
g x x 5 ,
p x x 1,
q x x2 1 ,
r x x 2 5x 6 ,
s x 3x2 11x 6
What is the degree of
a)
f x ?
b) g x ?
d)
q
Name: _
MAP 103
Date: _
Week 11: Radicals
Definition:
The (positive) square root of a number a, denoted
Example 1:
Calculate the following square roots
a)
25
b)
a , is a number b such that b 2 a
100
c)
64
81
Most square roots do not result in nice numbers
Name: _
Period: _
Date: _
Week 5: Solving Algebraic Linear Equations
Up until today, we have been working with algebraic expressions (mostly polynomials). We have been adding them,
subtracting them, multiplying them, and simplifying them by factoring and
Name: _
Period: _
Date: _
Linear Equation Solving Review
Below you will find various linear algebraic equations. Instead of being numbered, each question is named by a letter or a
punctuation mark. After you find the solution to each problem, fill in the
Proficiency Algebra in Problems
John Higgins, Xingjia Tang, Julia Viro
Contents
1. Numbers, variables, and operations
3
1.1
Order of operations
3
1.2
Parentheses make a difference!
4
1.3
Distributive laws
4
1.4
Calculation tricks
6
1.5
Fractions, our frie
Stony Brook University
Mathematics Department
Julia Viro, Stephanie Salvator
MAP 103
Proficiency Algebra
Fall 2016
Homework 5
Show all the work. Answers without solutions will be given no credit. Do not use a calculator.
1. Solve the following linear equa
Stony Brook University
Mathematics Department
Julia Viro, Stephanie Salvator
MAP 103
Proficiency Algebra
Fall 2016
Homework 1
Show all the work. Answers without solutions will give no credit. Do not use a calculator.
1. Indicate the order of operations an
Stony Brook University
Mathematics Department
Julia Viro, Stephanie Salvator
Proficiency Algebra
MAP 103, Fall 2016
Practice Midterm 1
Part I contains problems which you have to solve correctly to pass the course with minimal grade C.
There is no partial
Stony Brook University
Mathematics Department
Julia Viro, Stephanie Salvator
MAP 103
Proficiency Algebra
Fall 2016
Homework 2
Show all the work. Answers without solutions will give no credit. Do not use a calculator.
1. Evaluate the following expressions:
Stony Brook University
Mathematics Department
Julia Viro, Stephanie Salvator
MAP 103
Proficiency Algebra
Fall 2016
Homework 3
Show all work and labels. Answers without solutions will give no credit. Do not use a calculator.
1. The width of a rectanglar Ol
Stony Brook University
Mathematics Department
Julia Viro, Stephanie Salvator
MAP 103
Proficiency Algebra
Fall 2016
Homework 4
Show all the work. Answers without solutions will give no credit. Do not use a calculator.
1. Simplify the following expressions
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q;
_~._,A ., <- ,A -.
l
+
i
j ,
V. _-<_*.jm:_maam ,7
Z .
«2-9
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7 VOLMWM 7775f.
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Stony Brook University
Mathematics Department
Julia Viro
Prociency Algebra
MAT 103, Fall 2014
Practice Midterm 2
1. In a triangle ABC, the side BC is 3 cm shorter than the side AB, and the side AC is twice
as long as BC. Find the lengths of the sides of t