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SAT代数考点讲解

2017-12-18 16:55 来源：武汉编辑

ARITHMETIC
A.Whole numbers
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
II ALGEBRA
A Signed numbers
1 absolute value
2 Inequality and order of signed numbers
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 equationsE 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
a) Same denominators
b) Different denominators
5 Complex fractions
6 Equations involving fractions
J Radicals and irrational numbers
3 Multiplication and division of radicals
4 Rationalizing denominators
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

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