This review work will largely be done on your own, outside of class.
Feel free to ask algebra review questions at the beginning of each class, during the
time when we are going over homework questions.
(Put your question on the side board as you come in; e.g., addition concept.)
Also, you may get as much help as needed, one-on-one, outside of class.
There will be regular in-class quizzes over the algebra review material.
The points accumulated from these review exercises are a substantial part of your grade, so please take them seriously.
Not only will this review help you to do well in this course, but it is also excellent
preparation for standardized tests, like the MCAS, SAT, and ACT.
Many of these review exercises will be easy points—take advantage of them!
QUIZ DATE | ASSIGNMENT |
Friday, September 5 |
expressions versus sentences
expressions versus sentences, concept questions
addition, TIMED QUIZ, one full sheet (30 problems), 3 minutes
addition, concept questions
multiplication, TIMED QUIZ, one full sheet (30 problems), 3 minutes
multiplication, concept questions
|
Friday, September 12 |
divisibility
divisibility, concept questions
♥ basic properties of zero and one
deciding if a number is a whole number, an integer, etc.
deciding if a number is a whole number, an integer, etc., concept questions
addition of signed numbers
addition of signed numbers, concept questions
|
Friday, September 19 |
subtraction of signed numbers
subtraction of signed numbers, concept questions
mixed addition and subtraction of signed numbers
fractions with a denominator of 2 to decimal form
♥ the average of two signed numbers
♥ the average of two signed numbers, concept questions
♥ the average of three signed numbers
♥ the average of three signed numbers, concept questions
|
Friday, September 26 |
identifying place values
multiplying by powers of ten
changing decimals to fractions
multiplying and dividing decimals by powers of ten
changing decimals to percents
changing percents to decimals
♥ introduction to sets
♥ interval and list notation
|
Friday, October 3 |
♥ introduction to variables
♥ reading set notation
♥ going from a sequence of operations to an expression
♥ going from an expression to a sequence of operations
♥ solving simple sentences by inspection
♥ using mathematical conventions
♥ "undoing" a sequence of operations
|
Friday, October 10 |
♥ solving for a particular variable
♥ Getting bigger? Getting smaller?
♥ scientific notation
♥ significant figures and related concepts
♥ rewriting fractions as a whole number plus a fraction
♥ locating fractions on a number line
|
Friday, October 17 |
fractions involving zero
finding reciprocals
determining if a product is positive or negative
♥ multiplying and dividing fractions
♥ practice with the form a(b/c)
♥ more practice with the form a(b/c)
♥ renaming fractional expressions
|
Friday, October 24 |
practice with multiples
finding least common multiples
renaming fractions with a specified denominator
practice with factors
♥ adding and subtracting fractions
♥ adding and subtracting simple fractions with variables
divisibility equivalences
|
Friday, October 31 |
identifying inequalities as true or false
♥ bigger, smaller, greater, lesser
practice with the phrases "at least" and "at most"
identifying inequalities with variables as true or false
solving equations of the form xy = 0
♥ recognizing zero and one
writing fractions in simplest form
|
Friday, November 7 |
deciding if a fraction is a finite or infinite repeating decimal
deciding if numbers are equal or approximately equal
rounding decimals to a specified number of places
Tables of Unit Conversion Information (just study this)
classifying units as length, time, volume, weight/mass
practice with unit abbreviations
practice with unit names
|
Friday, November 14 |
practice with unit conversion information
one-step conversions
multi-step conversions
rate problems
practice with exponents
practice with order of operations
basic exponent practice with fractions
|
Friday, November 21 |
practice with xmxn = xm+n
practice with (xm)n = xmn
practice with xm/xn = xm-n
practice with x-p = 1/xp
one-step exponent law practice
♥ multi-step exponent law practice
♥ practice with radicals
♥ approximating radicals
|
Thursday, December 4 |
♥ writing radicals in rational exponent form
♥ writing rational exponents as radicals
practice with rational exponents
practice with x and -x
practice with products of signed variables
practice with the distributive law
equal or opposites?
recognizing the patterns xn and (-x)n
|
Friday, December 12 |
writing expressions in the form kxn
writing more complicated expressions in the form kxn
writing quite complicated expressions in the form kxn
identifying variable parts and coefficients of terms
combining like terms
simplifying expressions like -a(3b - 2c - d)
|
Friday, December 19 |
basic FOIL
more complicated FOIL
simplifying (a + b)2 and (a - b)2
simplifying expressions like (a - b)(c + d - e)
♥ practice with the mathematical words and, or, and is equivalent to
recognizing products and sums; identifying factors and terms
identifying common factors
|
Friday, January 9, 2009 |
factoring simple expressions
listing all the factors of a whole number
finding the greatest common factor of 2 or 3 numbers
finding the greatest common factor of variable expressions
factoring out the greatest common factor
practice with the Addition Property of Equality
practice with the Multiplication Property of Equality
|
Friday, January 16 |
solving simple linear equations with integer coefficients
solving more complicated linear equations with integer coefficients
♥ solving linear equations involving fractions
♥ solving linear equations, all mixed up
♥ simple word problems resulting in linear equations
|
Friday, January 23 |
solving simple linear inequalities with integer coefficients
solving linear inequalities with integer coefficients
♥ solving linear inequalities involving fractions
simplifying basic absolute value expressions
determining the sign (plus or minus) of absolute value expressions
|
Friday, January 30 |
solving simple absolute value sentences
solving sentences like 2x - 1 = ±5
additional practice
solving absolute value equations
solving absolute value inequalities involving "less than"
solving absolute value inequalities involving "greater than"
|
Friday, February 6 |
solving absolute value sentences (all kinds)
identifying perfect squares
writing expressions in the form A2
factoring a difference of squares
solving simple equations involving perfect squares
solving more complicated equations involving perfect squares
|
Friday, February 13 |
translating simple mathematical phrases
word problems involving perfect squares
basic concepts involved in factoring trinomials
factoring x2 + bx + c, c > 0
factoring x2 + bx + c, c < 0
factoring trinomials, all mixed up
|
Friday, February 27 |
identifying quadratic equations
writing quadratic equations in standard form
solving simple quadratic equations by factoring
factoring ax2 + bx + c
solving more complicated quadratic equations by factoring
♥ multiplying and dividing fractions with variables
|
Friday, March 6 |
♥ adding and subtracting fractions with variables
writing expressions involving percent increase and decrease
calculating percent increase and decrease
problems involving percent increase and decrease
more problems involving percent increase and decrease
|
Friday, March 13 |
locating points in quadrants and on axes
practice with points
♥ the Pythagorean Theorem
♥ the distance formula
♥ the midpoint formula
introduction to equations and inequalities in two variables
|
Friday, March 20 |
introduction to the slope of a line
practice with slope
graphing lines
|
Friday, March 27 |
finding equations of lines
♥ point-slope form
♥ horizontal and vertical lines
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Friday, April 3 |
♥ parallel and perpendicular lines
introduction to functions
introduction to function notation
|
Thursday, April 9 |
♥ more practice with function notation
♥ domain and range of a function
|