SAT2数学讲义
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12
Algebra 代数
K. Solution of quadratic equations 1. Factoring 2. Completing the square 3. Formula
13
Algebra 代数
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
10
Algebra 代数
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
7
Algebra 代数
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
3. Motion
4. Coin
5. Mixture
6. Age
7. Work
8. Variation—direct and inverse
9
Algebra 代数
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
6
Algebra 代数
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
11
Algebra 代数
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
8
Algebra 代数
E . Inequalities in one variable
F . Systems of equations and inequalities in two variables
G. Verbal Problems
1. Number
2. Consecutive integer
5
Algebra 代数
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
3
Arithmetic 算式
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
4
Arithmetic 算式
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
14
Algebra 代数
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
SAT概况
https://www.collegeboard.org/
1
SAT概况
2
源自文库
Arithmetic 算式
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
Algebra 代数
K. Solution of quadratic equations 1. Factoring 2. Completing the square 3. Formula
13
Algebra 代数
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
10
Algebra 代数
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
7
Algebra 代数
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
3. Motion
4. Coin
5. Mixture
6. Age
7. Work
8. Variation—direct and inverse
9
Algebra 代数
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
6
Algebra 代数
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
11
Algebra 代数
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
8
Algebra 代数
E . Inequalities in one variable
F . Systems of equations and inequalities in two variables
G. Verbal Problems
1. Number
2. Consecutive integer
5
Algebra 代数
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
3
Arithmetic 算式
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
4
Arithmetic 算式
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
14
Algebra 代数
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
SAT概况
https://www.collegeboard.org/
1
SAT概况
2
源自文库
Arithmetic 算式
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