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SAT数学试题的考查范围是大家在备考SAT数学考试的时候一个最基本的框架,所有的SAT数学备考都是围绕着这个范围进行的。下面为大家整理了关于SAT数学试题考查范围的相关信息,供大家参考借鉴。
I. 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 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
8. 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
III. GEOMETRY
A . Angles
1. Types—acute, right, obtuse
2. Complements and supplements
3. Vertical angles
B . Lines
1. Parallel lines and their angles
2. Perpendicular lines
C. Triangles
1. Sum of the angles
2. Congruent triangles
3. Similar triangles
4. Special triangles
a Isosceles
b Equilateral
c Right (Pythagorean Theorem
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