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Topic

Link

1.1

Real Numbers

Number types: http://www.purplemath.com/modules/numtypes.htm

Properties: http://www.purplemath.com/modules/numbprop.htm,

http://www.purplemath.com/modules/numbprop2.htm

1.2

Operations with Real Numbers

PEMDAS: http://www.purplemath.com/modules/orderops.htm
http://www.purplemath.com/modules/orderops2.htm
Parentheses: http://www.purplemath.com/modules/simparen2.htm

Evaluation: http://www.purplemath.com/modules/evaluate.htm

Fractions: http://www.purplemath.com/modules/fraction.htm

Absolute Value: http://www.purplemath.com/modules/absolute.htm

1.3

Algebraic Expressions

Variables: http://www.purplemath.com/modules/variable.htm

Like Terms: http://www.purplemath.com/modules/polydefs2.htm

1.4

Translating phrases and Sentences into Algebraic Form

Keywords: http://www.purplemath.com/modules/translat.htm

Translation Examples: http://www.purplemath.com/modules/translat2.htm

Numbers: http://www.purplemath.com/modules/numbprob.htm

Coins: http://www.purplemath.com/modules/coinprob.htm

Interest: http://www.purplemath.com/modules/investmt.htm

Percent: http://www.purplemath.com/modules/percntof.htm, http://www.purplemath.com/modules/percntof2.htm

1.5

First degree equations & inequalities

http://www.purplemath.com/modules/solvelin.htm
http://www.purplemath.com/modules/solvelin2.htm
http://www.purplemath.com/modules/solvelit.htm

2.1

Equations as Mathematical Models

Percent: http://www.purplemath.com/modules/percntof.htm, http://www.purplemath.com/modules/percntof2.htm

Interest: http://www.purplemath.com/modules/investmt.htm

Work, Jobs: http://www.purplemath.com/modules/workprob.htm

2.2

Numbers: http://www.purplemath.com/modules/numbprob.htm

Bills, Stamps: http://www.purplemath.com/modules/coinprob.htm

Packages, Product Prices, Tickets: http://www.purplemath.com/modules/mixture.htm

Distance: http://www.purplemath.com/modules/distance.htm

Work, Jobs: http://www.purplemath.com/modules/workprob.htm

Percent: http://www.purplemath.com/modules/percntof.htm, http://www.purplemath.com/modules/percntof2.htm

2.3

First degree ineq and apps

http://www.purplemath.com/modules/ineqsolv.htm
http://www.purplemath.com/modules/ineqlin.htm

2.4

Absolute Value eq & ineq

http://www.purplemath.com/modules/absineq.htm

3.1

Rect C. S. & straight lines

Plotting: http://www.purplemath.com/modules/plane.htm

Quadrants: http://www.purplemath.com/modules/plane2.htm

http://www.purplemath.com/modules/graphing.htm
http://www.purplemath.com/modules/graphlin.htm
http://www.purplemath.com/modules/intrcept.htm

3.2

3.3

Relations & Functions

Functions: http://www.purplemath.com/modules/fcns.htm

Domain & Range: http://www.purplemath.com/modules/fcns2.htm

3.4

Function Notation

http://www.purplemath.com/modules/fcnnot.htm

3.5

4.1

Lines and Slope

http://www.purplemath.com/modules/slope.htm

http://www.purplemath.com/modules/slope2.htm
http://www.purplemath.com/modules/slopgrph.htm

4.2

Equations of a Line

http://www.purplemath.com/modules/slopyint.htm

http://www.purplemath.com/modules/strtlneq2.htm
http://www.purplemath.com/modules/strtlneq.htm
http://www.purplemath.com/modules/strtlneq3.htm

4.3

Linear Systems in Two Variables

Definitions: http://www.purplemath.com/modules/systlin1.htm

Graphing: http://www.purplemath.com/modules/systlin2.htm

Substitution: http://www.purplemath.com/modules/systlin3.htm

Elimination: http://www.purplemath.com/modules/systlin4.htm

4.4

Graphing Linear Inequalities in Two Variables

http://www.purplemath.com/modules/ineqgrph.htm

5.1

Polynomials

http://www.purplemath.com/modules/polydefs.htm

5.2

Polynomials: +, -, *

Sums: http://www.purplemath.com/modules/polyadd.htm
*, FOIL: http://www.purplemath.com/modules/polymult.htm

Gen Mult: http://www.purplemath.com/modules/polymult2.htm

5.3

Factoring out the greatest common factor

http://www.purplemath.com/modules/simpfact.htm
http://www.purplemath.com/modules/simpfact2.htm

5.5

Factoring trinomials

http://www.purplemath.com/modules/factquad.htm

Difference of Squares: http://www.purplemath.com/modules/specfact.htm

Sum and Difference of Cubes: http://www.purplemath.com/modules/specfact2.htm

Examples: http://www.purplemath.com/modules/specfact3.htm

6.1

Rational Functions

http://www.purplemath.com/modules/rtnldefs.htm

6.2

Equivalent Fractions

http://www.purplemath.com/modules/rtnldefs2.htm

6.3

6.4

6.5

Mixed Ops & Complex Fractions

http://www.purplemath.com/modules/compfrac.htm

6.6

6.7

Literal equations

http://www.purplemath.com/modules/solvelit.htm

6.8

7.1

Integer Exponents

Positive: http://www.purplemath.com/modules/exponent.htm

Negative: http://www.purplemath.com/modules/exponent2.htm

Fractional: http://www.purplemath.com/modules/exponent5.htm

Simplify+:http://www.purplemath.com/modules/simpexpo.htm
Simplify-:http://www.purplemath.com/modules/simpexpo2.htm

7.2

Scientific Notation

http://www.purplemath.com/modules/exponent3.htm

7.3

7.4

Simplifying Radical Expressions

http://www.purplemath.com/modules/radicals.htm

7.5

7.6

*. / on radical expressions

Multiplying: http://www.purplemath.com/modules/radicals2.htm

rationalizing: http://www.purplemath.com/modules/radicals3.htm

7.7

Radical Functions & Equations

http://www.purplemath.com/modules/solverad.htm
http://www.purplemath.com/modules/solverad2.htm
http://www.purplemath.com/modules/solverad3.htm
http://www.purplemath.com/modules/solverad4.htm

7.8

Complex Numbers

Imaginary: http://www.purplemath.com/modules/complex.htm

Complex: http://www.purplemath.com/modules/complex2.htm

8.1

8.2

Factoring & Square Root Methods

Factoring: http://www.purplemath.com/modules/factquad.htm,

http://www.purplemath.com/modules/solvquad.htm

Square Root: http://www.purplemath.com/modules/solvquad2.htm

8.3

Completing the Square

http://www.purplemath.com/modules/sqrquad.htm

http://www.purplemath.com/modules/solvquad3.htm

8.4

Quadratic Formula

Formula: http://www.purplemath.com/modules/quadform.htm

http://www.purplemath.com/modules/solvquad4.htm

Song: http://mathforum.org/t2t/faq/faq.tricks2.html - beth

Discriminant: http://www.purplemath.com/modules/quadform2.htm
Examples: http://www.purplemath.com/modules/solvquad6.htm

8.5

8.6

Graphing quad fcts

Graphing: http://www.purplemath.com/modules/grphquad.htm

Vertex: http://www.purplemath.com/modules/grphquad2.htm
Examples: http://www.purplemath.com/modules/grphquad3.htm

8.7

8.8

Distance Formula: Circles

Midpoint: http://www.purplemath.com/modules/midpoint.htm, 1st 3 cases.

Distance: http://www.purplemath.com/modules/distform.htm