Level

Topic

Content & Skills

1

Basics

Algebra Terms: variable, coefficient, constant, expression, equation

2

Multiply Variables: with a dot, parentheses, nothing in between

3

Exponent Rules: multiply, divide, exponent of an exponent, negative exponent

4

Add Like Terms: add terms with the same variable and exponent

5

Distributive Property: of multiplication

6

Commutative Associative: Properties of multiplication & addition

7

Order of Operations: parentheses, exponents, multiply/divide, add/subtract

8

Numbers: natural, whole, integer, rational, irrational, real

9

Coordinate Graphs: plotting points, four quadrants, x and y axes

10

Relations Tables Graphs: identify linear, quadratic, absolute, radical, expon.

11

Translate Words To Algebra: common English to algebra conversions

12

Linear Functions

Solve Equations: solve one equation one variable multiple steps

13

Linear Equations: graph a linear equation in standard form

14

Graph By Intercepts: graph by x- and y- intercepts

15

Points on a Line:  check whether a given point is on a line

16

Slope of a Line:  calculate slope from two points on a graph

17

Slope Intercept: slope intercept form of a line

18

Reciprocal Inverse: find the reciprocal of a number, undefined fractions

19

Parallel Perpendicular: determine whether a line is parallel or perpendicular

20

Point Slope: find linear equation from a point and slope or parallel line

21

Graphing Calculator: enter and graph linear equations on a calculator

22

Inequalities

Solve Inequalities: solve inequalities with one variable

23

Compound Inequalities: graph compound inequalities on a number line

24

Graph Inequalities: graph inequalities on a coordinate graph

25

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Absolute Value Equations: solve equations with absolute values

26

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Rate Problems: solve word problems with distance, rate, and time

27

Functions

Functions Relations: determine function or not a function

28

Function Notation: calculate function output values given input values

29

Domain Range: determine for mappings, ordered pairs, tables, graphs

30

Systems

Systems Graphing: solve two equations two variables using graphing calc

31

Systems Substitution: solve two equations using substitution

32

Systems Add Eliminate: solve two equations using elimination

33

Polynomials

Polynomial Basics: term, monomial, binomial, trinomial, order

34

Combine Like Terms: add like terms together

35

Add Polynomials: add polynomials

36

Subtract Polynomials: subtract polynomials

37

Multiply Polynomials: multiply polynomials

38

Divide Polynomials: divide polynomials

39

Distribute Polynomials: distribute polynomials

40

FOIL: multiply two binomials first outside inside last

41

Factoring

Factoring GCF: factor out the greatest common factor from a polynomial

42

Trinomial Factor 1: factor trinomials all positive coefficients, a=1

43

Trinomial Factor 2: factor trinomials negative coefficients, a=1

44

Trinomial Factor 3: factor trinomials,  a > 1

45

Factor Perfect Square: identify perfect square trinomials and factor

46

Factor Difference of Squares: identify difference of squares and factor

47

Rational

Rational Expressions: simplify rational expressions: factor and cancel

48

Rational Multiply Add: multiply, divide, add rational expressions

49

Quadratics

Quadratic Graphing: solve quadratic equations by graphing

50

Quadratic Factoring: solve quadratic equations by factoring

51

Quadratic Square Root: solve quadratic equations by taking square roots

52

Quadratic Complete Square: solve quadratics by completing the square

53

Quadratic Formula: solve quadratic equations by the quadratic formula

54

Quadratic Word Problems: solve word problems: projectile motion, geometry

55

Radicals

Radical Expressions: simplify radical expressions, fractional exponents

56

Radical Equations: solve radical equations

57

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Exponential Functions: solve growth word problems: interest, populations

58

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Mixture Ratio Problems: solve mixture problems: fluids, prices

59

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Logic & Validity: solve common problems: counterexamples, conclusions

60

Challenge

Final Challenge: review of all levels