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Test your basic knowledge |
SAT Math: Concepts And Tricks
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Study First
Subjects
:
sat
,
math
Instructions:
Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can
study here
.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.
This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. An isosceles triangle has 2 equal sides and the angles opposite the equal sides (base angles) are also equal - an equaliteral is a triangle where all 3 sides are equal - thus the angles are equal - regardless of side length the angle is always 60 deg
Reciprocal
Similar Triangles
Remainders
Isosceles and Equilateral triangles
2. (average of the x coordinates - average of the y coordinates)
Median and Mode
Finding the midpoint
Circumference of a Circle
Dividing Fractions
3. 1. Re-express them with common denominators 2. Convert them to decimals
Comparing Fractions
Volume of a Rectangular Solid
Surface Area of a Rectangular Solid
Setting up a Ratio
4. To solve an inequality do whatever is necessary to both sides to isolate the variable. When you multiply or divide both sides by a negative number you must reverse the sign
Solving an Inequality
Volume of a Rectangular Solid
Relative Primes
Using an Equation to Find the Slope
5. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Number Categories
Evaluating an Expression
Exponential Growth
Relative Primes
6. A sector is a piece of the area of a circle. If n is the degree measure of the sector's central angle then the formula is: Area of a Sector = (n/360) (pr^2)
Negative Exponent and Rational Exponent
Counting the Possibilities
Area of a Sector
Raising Powers to Powers
7. The whole # left over after division
Remainders
Interior and Exterior Angles of a Triangle
Interior Angles of a Polygon
Adding/Subtracting Signed Numbers
8. Start with 100 as a starting value - Example: A price rises by 10% one year and by 20% the next. What's the combined percent increase? - Say the original price is $100. Year one: $100 + (10% of 100) = 100 + 10 = 110 Year two: 110 + (20% of 110) = 110
Circumference of a Circle
Average Formula -
Combined Percent Increase and Decrease
Area of a Circle
9. 2pr
The 3-4-5 Triangle
Circumference of a Circle
Using the Average to Find the Sum
Median and Mode
10. To convert a mixed number to an improper fraction - multiply the whole number by the denominator - then add the numerator over the same denominator - to convert an improper fraction to a mixed number - divide the denominator into the numerator to get
Remainders
(Least) Common Multiple
Mixed Numbers and Improper Fractions
Evaluating an Expression
11. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Determining Absolute Value
Characteristics of a Square
The 3-4-5 Triangle
Reducing Fractions
12. Volume of a Cylinder = pr^2h
Volume of a Cylinder
Identifying the Parts and the Whole
Surface Area of a Rectangular Solid
Reducing Fractions
13. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Percent Increase and Decrease
Finding the Distance Between Two Points
Intersection of sets
Characteristics of a Square
14. Integers are whole numbers; they include negtavie whole numbers and zero - Rational numbers can be expressed as a ratio of two integers - irration numbers are real numbers that cant be expressed precisely as a fraction or decimal.
Reducing Fractions
Number Categories
Union of Sets
Combined Percent Increase and Decrease
15. To add a positive and negative integer first ignore the signs and find the positive difference between the two integers - attatch the sign of the original with higher absolute value - to subtract negative integers simply change it into an addition pr
Multiples of 3 and 9
Adding/Subtracting Signed Numbers
Average Formula -
Determining Absolute Value
16. To predict whether the sum - difference - or product will be even or odd - just take simple numbers such as 1 and 2 and see what happens; there are rules like 'odd times even is odd' - but there's no need to memorize them
Comparing Fractions
Even/Odd
Parallel Lines and Transversals
Multiplying and Dividing Roots
17. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Multiplying Monomials
Adding and Subtraction Polynomials
Combined Percent Increase and Decrease
Function - Notation - and Evaulation
18. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Interior Angles of a Polygon
Counting the Possibilities
Median and Mode
Tangency
19. The smallest multiple (other than zero) that two or more numbers have in common.
Number Categories
Characteristics of a Parallelogram
Counting the Possibilities
(Least) Common Multiple
20. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Isosceles and Equilateral triangles
Multiplying and Dividing Roots
Rate
Average of Evenly Spaced Numbers
21. Negative exponent: put number under 1 in a fraction and work out the exponent Rational exponent: square root it- 1. make the root of the problem whatever the denominator of the exponent is 2. the exponent under your root sign is the numerator of the
Negative Exponent and Rational Exponent
Evaluating an Expression
Reciprocal
Union of Sets
22. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Direct and Inverse Variation
Factor/Multiple
Finding the Missing Number
Evaluating an Expression
23. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Intersection of sets
Even/Odd
Using an Equation to Find the Slope
Prime Factorization
24. The length of one side of a triangle must be greater than the difference and less than the sum of the lengths of the other two sides
Setting up a Ratio
Direct and Inverse Variation
Triangle Inequality Theorem
Counting Consecutive Integers
25. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Intersecting Lines
Repeating Decimal
Direct and Inverse Variation
Factor/Multiple
26. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Reciprocal
Adding/Subtracting Fractions
Solving an Inequality
Even/Odd
27. The largest factor that two or more numbers have in common.
Adding and Subtracting Roots
Greatest Common Factor
Multiplying Fractions
Raising Powers to Powers
28. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Isosceles and Equilateral triangles
Counting Consecutive Integers
Union of Sets
Finding the midpoint
29. Domain: all possible values of x for a function range: all possible outputs of a function
Length of an Arc
Remainders
Domain and Range of a Function
Volume of a Cylinder
30. To multiply or divide integers - firstly ignore the sign and compute the problem - given 2 negatives make a positive - 2 positives make a positive - and one negative - and one positive make a negative attach the correct sign
Factor/Multiple
Length of an Arc
Determining Absolute Value
Multiplying/Dividing Signed Numbers
31. To solve a proportion - cross multiply
Solving a Proportion
Volume of a Cylinder
Using an Equation to Find the Slope
Average Rate
32. 1. turn it into ax^2 + bx + c = 0 form 2. factor 3. set both factors equal to zero 4. you get 2 solutions
Multiplying and Dividing Roots
The 3-4-5 Triangle
Solving a Quadratic Equation
Finding the Original Whole
33. Probability= Favorable Outcomes/Total Possible Outcomes
Surface Area of a Rectangular Solid
Function - Notation - and Evaulation
Probability
Adding and Subtracting monomials
34. Change in y/ change in x rise/run
Pythagorean Theorem
Using Two Points to Find the Slope
Greatest Common Factor
Using the Average to Find the Sum
35. you can add/subtract when the part under the radical is the same
Adding and Subtracting Roots
Prime Factorization
Adding and Subtraction Polynomials
Using the Average to Find the Sum
36. Combine equations in such a way that one of the variables cancel out
Remainders
Solving a System of Equations
Pythagorean Theorem
Counting Consecutive Integers
37. Subtract the smallest from the largest and add 1
Counting Consecutive Integers
Evaluating an Expression
The 5-12-13 Triangle
Union of Sets
38. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Characteristics of a Square
Similar Triangles
Average Formula -
Reducing Fractions
39. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Average Formula -
Determining Absolute Value
Multiplying Monomials
Area of a Sector
40. Multiply the exponents
Multiplying/Dividing Signed Numbers
Multiplying Monomials
Raising Powers to Powers
Interior Angles of a Polygon
41. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Characteristics of a Rectangle
Determining Absolute Value
The 3-4-5 Triangle
Percent Formula
42. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Negative Exponent and Rational Exponent
Setting up a Ratio
Intersection of sets
Multiplying and Dividing Powers
43. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Rate
Interior Angles of a Polygon
Number Categories
PEMDAS
44. To multiply fractions - multiply the numerators and multiply the denominators
Circumference of a Circle
The 5-12-13 Triangle
Multiplying Fractions
Characteristics of a Parallelogram
45. To divide fractions - invert the second one and multiply
Part-to-Part Ratios and Part-to-Whole Ratios
Comparing Fractions
Dividing Fractions
Percent Increase and Decrease
46. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Reciprocal
Parallel Lines and Transversals
Adding and Subtracting Roots
Intersection of sets
47. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Median and Mode
Adding and Subtracting monomials
Counting Consecutive Integers
Factor/Multiple
48. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Multiplying and Dividing Roots
PEMDAS
Adding and Subtracting Roots
Isosceles and Equilateral triangles
49. Area of Triangle = 1/2 (base)(height) - the height is the perpendicular distance between the side that's chosen as the base and the opposite vertex
Area of a Triangle
Solving an Inequality
Adding and Subtracting Roots
Characteristics of a Square
50. Add the exponents and keep the same base
Multiplying and Dividing Powers
Relative Primes
Raising Powers to Powers
Even/Odd