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SAT数学考试代数考点详解

2014-09-05 10:49     供稿单位: 新航道    

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  SAT数学考试中代数分数占比较大,新航道小编整理SAT数学考试代数重点考点,供大家参考。

  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

  以上是SAT数学考试代数重点考点,更多SAT相关信息关注新航道SAT频道。

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