Review for midterm examination 1/09
ALGEBRA I
This midterm exam will be inclusive of all lessons from 1-60
Any material is fair game to be on the midterm, but there are a few things
that I will assure you that will be on the test.
First off: the specifics of the test…..
There will be 50 questions.
There are going to be 30 multiple choice;
There will be 5 matching
There will be 10 fill in the blanks
There will be 5 problems in which you will have to write at least a sentence
of explanation
You are going to have 1 and a half hours to complete this exam. You will
have more than enough time to complete this test in the time allotted.
Lessons I would strongly recommend that you re read and/or redo for practice
are as follows (I have also added the parts from each lesson that are
specifically important)
Lesson 1: Classifying real numbers
- What is a real number? Rational number? Irrational number? Integer?
Whole number? Natural number?
- Intersections of sets
- When a set is closed under a certain operation
Examples of types of problems you might see:
Name all of the subsets of numbers that have 5 in them.
If I combine the subset of even numbers, and odd numbers, what subset would
I have?
Is multiplication closed for positive integers?
Lesson 3: Simplifying expressions using the product property of exponents
- How to multiply exponents with the same bases
- How to divide exponents with the same base
Examples of types of problems you might see:
Lesson 4: Order of operations
- make sure you know PEMDAS, and that addition and subtraction are
done together, as well as multiplication and division
Examples of types of problems you might see:
Lesson 8: Using unit analysis to convert measures
- Be sure you know how to convert feet to inches and yards to inches
- Be sure you know you have to do 2 conversions for square
inches/feet/yards and 3 conversions for cubic inches/feet/yards
Examples of types of problems you might see:
Lesson 9: Evaluating and comparing algebraic expressions
- Solving expressions when you have to substitute in the numbers for
the variables
- Be able to compare expressions as to which is larger
Examples of types of problems you might see:
Lesson 12: Using the properties of real numbers to simplify expressions
- Know the identity properties
- Know the associative properties
- Know the commutative properties
- Make sure you know the difference between all of the properties
Examples of types of problems you might see:
Lesson 13: Calculating and comparing square roots
- Know how to find a square root by hand
- Know how to simplify square roots
- Be able to compare square roots
Examples of types of problems you might see:
Lesson 14: Determining theoretical probability of an event
Examples of types of problems you might see:
Lesson 15: Using the distributive property to simplify expressions
- Remember how to distribute a negative through parenthesis
Examples of types of problems you might see:
Lesson 17: Translating between words and algebraic expressions
- Know all of the words that can be used for addition subtraction
multiplication and division
Examples of types of problems you might see:
Lesson 18: Combining like terms
- Make sure you do not combine x’s and y’s
- Make sure you only combine like variables with like exponents
Examples of types of problems you might see:
Lesson 19: Solving one step equations with adding and subtraction
- Remember to do reverse pemdas to undo parts of an equation
- Know your properties of equality, and be able to explain them
Examples of types of problems you might see:
Lesson 20: Graphing on a coordinate plane
- Know independent and dependant variables, and where they are on the
graph
Examples of types of problems you might see:
Lesson 21: Solving one step equations with multiplication and division
- Remember to do reverse pemdas to undo parts of an equation
- Know your properties of equality, and be able to explain them
Examples of types of problems you might see:
Lesson 23: Solving 2 step equations
- Remember to do reverse pemdas to undo parts of an equation
- Know your properties of equality, and be able to explain them
Examples of types of problems you might see:
Lesson 25: Differentiateing between relations and functions
- Know domain and range and how to find them
- Using ordered pairs to determine a function
- The vertical line test, and how it relates to a function
- How to write a function
Examples of types of problems you might see:
Lesson 26: Solving multi-step equations
- Remember to do reverse pemdas to undo parts of an equation
- Know your properties of equality, and be able to explain them
Examples of types of problems you might see:
Lesson 28: Solving equations with variables on both sides
- Remember to do reverse pemdas to undo parts of an equation
- Know your properties of equality, and be able to explain them
Examples of types of problems you might see:
Lesson 30: Graphing functions
- be able to take a table and turn it into a graph
- be able to identify the domain and range from a graph
Examples of types of problems you might see:
Lesson 31: Using rates, ratios, and proportions
- Know cross products
- Be able to determine unit rates
Examples of types of problems you might see:
Lesson 32: Simplifying and evaluating expressions with integer and zero
exponents
- Know what a zero exponent means
- Know why 0 raised to the 0 power is undefined
- Know the quotient of the property of exponents
Examples of types of problems you might see:
Lesson 34: Recognizing and extending arithmetic sequences
- Know the formula of the arithmetic sequences
- Know what a common difference is
- Know how to find the n th term of a sequence
Examples of types of problems you might see:
Lesson 35: Locating and using intercepts
- Know standard form
- Know how to find an x-intercept and a y- intercept
- Know how to locate them on a graph
Examples of types of problems you might see:
Lesson 38: Using the GCF to simplify expressions
- Know how to find prime factorization
Examples of types of problems you might see:
Lesson 41: Finding rates of change and slope
- know rise over run
- how to determine slope from a graph
- how to find slope from a table
- What is the slope of a horizontal and vertical line?
Examples of types of problems you might see:
Lesson 43: Simplifying rational expressions
- Remember what makes a rational expression undefined
- Remember how to use a common factor to simplify an expression
Examples of types of problems you might see:
Lesson 49: Writing equations in slope intercept form
- How to graph an equation of a line in slope intercept form
- How to find the equation of a line from a graph
Examples of types of problems you might see:
Lesson 50: Graphing inequalities
- Know the difference between a closed circle and an open circle on a
graph
Examples of types of problems you might see:
Lesson 52: Determining the equation of a line given 2 points
- Be able to graph a line using only a point and the slope
- Know point slope form
Examples of types of problems you might see:
Lesson 53: Adding and subtracting polynomials
- Finding degree of monomials
- Know types of polynomials
- Know how to write a polynomial in standard form
Examples of types of problems you might see:
Lesson 54: Displaying data in a box and whisker plot
- Know the extremes and quartiles
- Know how to find a quartile
- Know how to determine an outlier
Examples of types of problems you might see:
Lesson 55: Solving systems of linear equations by graphing
- Know how to graph lines
- Know what the intersections of the two lines mean
Examples of types of problems you might see:
Lesson 58: Multiplying polynomials
- Know the foil method
- Be able to explain why it is a form of the distributive property
Examples of types of problems you might see:
Lesson 59: Solving systems of linear equations by substitution
- be able to rearrange the orders of monomials by degree
Examples of types of problems you might see:
I AM AVAILABLE MONDAY TUESDAY THURSDAY NEXT WEEK.
Please ask me for help if you have any questions!
