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A. Whole numbers

1. Operations—addition, subtraction, multiplication, division

2. Prime and composite numbers

3. Factors and divisors

B. Fractions

1 Types—proper, improper, mixed numbers

2 Operations

C. Decimals

1 Operations

2 Conversions

a) Decimals to fractions

b) Fractions to decimals

3 Rounding and approximation

4 Powers of 10

a) Multiplication

b) Division

c) Scientific notation

D. Percent

1 Conversions

a) Percent to decimal

b) Decimal to percent

2 Percent problems

E Ratio and proportion

F Square roots

G. Averages

H Metric measurement

II ALGEBRA

A Signed numbers

1 absolute value

2 Inequality and order of signed numbers

3 Addition, subtraction, multiplication, division

4 Order of operations

5 Grouping symbols

6 Evaluating algebraic expressions and formulas

B. Properties of operations

1 Commutative properties

2 Associative properties

3 Distributive properties

4 Special properties of zero

5 Special properties of one

6 Additive and multiplicative inverses

C Operations with polynomials

1 Exponents and coefficients

2 Addition and subtraction

3 Multiplication

4 Division

D Equations in one variable

1 Methods of solution

2 Literal equations

E Inequalities in one variable

F Systems of equations and inequalities in two variables

G. verbal problems

1 number

2 Consecutive integer

3 Motion

4 Coin

5 Mixture

6 Age

7 Work

3 Variation—direct and inverse

H. Special products and factoring

1 Common monomial factors

2 Trinomials of the form ax2 + bx + c

3 Difference of two squares

4 Complete factoring

I Algebraic fractions

1 Simplifying fractions

2 Multiplication

3 Division

4. Addition and subtraction

a) Same denominators

b) Different denominators

5 Complex fractions

6 Equations involving fractions

J Radicals and irrational numbers

1 Simplifying radicals

2 Addition and subtraction of radicals

3 Multiplication and division of radicals

4 Rationalizing denominators

5 Radical equations

6 Fractional exponents

K. Solution of quadratic equations

1 Factoring

2 Completing the square

3 Formula

L. Graphing

1 Ordered pairs in the plane

2 Methods of graphing linear equations

a) Pairs in the solution set

b) Intercepts

c) Slope and slope-intercept method

3 Parallel and perpendicular lines

4 Graphing inequalities

5 Graphical solution of systems of equations

M Solution of simple cubic equations

1 Factor theorem

2 Remainder theorem

3 Synthetic division

4 Irrational and complex roots

5 Solving simple cubic equations