下面为大家整理的是关于SAT数学备考中代数和算术方面的知识点，非常详细，根据每个大的类别对小的知识点进行了列举。大家可以在备考自己的SAT数学考试的时候，根据这些知识点对自己的复习效果进行相应的对比和调整。

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　　ARITHMETIC

　　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 coficients

　　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

　　以上就是关于代数方面的SAT数学备考大纲的全部内容，全部都是英文版。中国学生在解答SAT数学题的时候最大的障碍就是词汇，所以在备考这些知识点之前，大家也可以先看看词汇的掌握程度。

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