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Test your basic knowledge |
SAT Math: Concepts And Tricks
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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. pr^2
Area of a Circle
Setting up a Ratio
Using Two Points to Find the Slope
Multiples of 2 and 4
2. Sum=(Average) x (Number of Terms)
Solving a Quadratic Equation
Probability
Using the Average to Find the Sum
Circumference of a Circle
3. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Parallel Lines and Transversals
Domain and Range of a Function
Factor/Multiple
Solving a Proportion
4. Surface Area = 2lw + 2wh + 2lh
Counting Consecutive Integers
Rate
Length of an Arc
Surface Area of a Rectangular Solid
5. Volume of a Cylinder = pr^2h
Volume of a Cylinder
Multiplying and Dividing Roots
Similar Triangles
Number Categories
6. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Adding and Subtracting Roots
Area of a Circle
Union of Sets
Mixed Numbers and Improper Fractions
7. This is the key to solving most fraction and percent word problems. Part is usually associated with the word is/are and whole is associated with the word of. Example: 'half of the boys are blonds' whole: all of the boys part: blonds
Negative Exponent and Rational Exponent
Solving a System of Equations
Identifying the Parts and the Whole
Even/Odd
8. The whole # left over after division
PEMDAS
Greatest Common Factor
Remainders
Average Formula -
9. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Multiplying and Dividing Powers
Interior and Exterior Angles of a Triangle
Reducing Fractions
Solving a Quadratic Equation
10. 2pr
Adding/Subtracting Fractions
Circumference of a Circle
Direct and Inverse Variation
Repeating Decimal
11. Example: If the ratio of males to females is 1 to 2 - then what is the ratio of males to people? - work: 1/(1+2) answer: 1/3
Counting Consecutive Integers
Prime Factorization
Using an Equation to Find an Intercept
Part-to-Part Ratios and Part-to-Whole Ratios
12. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Determining Absolute Value
Solving a Proportion
(Least) Common Multiple
Interior and Exterior Angles of a Triangle
13. Combine like terms
Rate
Adding and Subtraction Polynomials
Multiplying and Dividing Powers
Percent Increase and Decrease
14. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Negative Exponent and Rational Exponent
Adding/Subtracting Fractions
Finding the Original Whole
Exponential Growth
15. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Median and Mode
Rate
Number Categories
Interior Angles of a Polygon
16. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Prime Factorization
Adding and Subtracting Roots
Average of Evenly Spaced Numbers
Counting the Possibilities
17. Combine equations in such a way that one of the variables cancel out
Median and Mode
Solving a System of Equations
Identifying the Parts and the Whole
Dividing Fractions
18. 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
Adding/Subtracting Fractions
Setting up a Ratio
Multiplying/Dividing Signed Numbers
Factor/Multiple
19. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Multiplying Monomials
Intersection of sets
Average of Evenly Spaced Numbers
Solving a Proportion
20. A decimal with a sequence of digits that repeats itself indefinitely; to find a particular digit in the repetition - use the example: if there are 3 digits that repeat - every 3rd digit is the same. If you want the 31st digit - then the 30th digit is
Percent Increase and Decrease
Repeating Decimal
Counting the Possibilities
Adding and Subtracting Roots
21. To find the y-intercept: put the equation into slope-intercept form (b is the y-intercept): y=mx+b or plug x=0 and solve for y - To find the x-intercept: plug y=0 and solve for x
Combined Percent Increase and Decrease
Using an Equation to Find an Intercept
Adding and Subtracting monomials
Finding the midpoint
22. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Multiples of 3 and 9
Adding and Subtracting monomials
Isosceles and Equilateral triangles
Multiples of 2 and 4
23. 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
Combined Percent Increase and Decrease
Average Formula -
Using the Average to Find the Sum
Median and Mode
24. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Multiplying and Dividing Roots
Solving an Inequality
Raising Powers to Powers
Area of a Sector
25. A parallelogram has two pairs of parallel sides - opposite sides are equal - opposite angles are equal - consecutive angles add up to 180 degrees; Area of Parallelogram = base x height
Adding and Subtraction Polynomials
Rate
Remainders
Characteristics of a Parallelogram
26. 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
Circumference of a Circle
Isosceles and Equilateral triangles
Multiplying Monomials
Using the Average to Find the Sum
27. 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
Evaluating an Expression
Adding and Subtracting monomials
Prime Factorization
Solving an Inequality
28. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Parallel Lines and Transversals
Simplifying Square Roots
Characteristics of a Square
Characteristics of a Rectangle
29. (average of the x coordinates - average of the y coordinates)
Union of Sets
Characteristics of a Rectangle
Finding the midpoint
Tangency
30. If there are m ways one event can happen and n ways a second event can happen - then there are m × n ways for the 2 events to happen
Finding the Missing Number
Area of a Triangle
Multiplying Fractions
Counting the Possibilities
31. Growth pattern in which the individuals in a population reproduce at a constant rate; j-curve graph-- logarithmic - FORMULA: y=a(1+r)^ EXPLANATION: a = initial amount before measuring growth/decay r = growth/decay rate (often a percent) x = number of
Characteristics of a Rectangle
Exponential Growth
The 5-12-13 Triangle
Characteristics of a Parallelogram
32. To solve a proportion - cross multiply
PEMDAS
Circumference of a Circle
Direct and Inverse Variation
Solving a Proportion
33. To multiply fractions - multiply the numerators and multiply the denominators
Multiplying Monomials
Function - Notation - and Evaulation
Comparing Fractions
Multiplying Fractions
34. A square is a rectangle with four equal sides; Area of Square = side*side
Using an Equation to Find the Slope
PEMDAS
Using Two Points to Find the Slope
Characteristics of a Square
35. Integers that have no common factor other than 1 - to determine whether two integers are relative primes break them both down to their prime factorizations
Relative Primes
Adding/Subtracting Fractions
Multiplying and Dividing Powers
Interior and Exterior Angles of a Triangle
36. 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
Factor/Multiple
Interior and Exterior Angles of a Triangle
Area of a Triangle
Using Two Points to Find the Slope
37. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Evaluating an Expression
Interior Angles of a Polygon
Characteristics of a Parallelogram
Adding and Subtracting monomials
38. 1. turn it into ax^2 + bx + c = 0 form 2. factor 3. set both factors equal to zero 4. you get 2 solutions
Domain and Range of a Function
Identifying the Parts and the Whole
Solving a Quadratic Equation
Comparing Fractions
39. Factor out the perfect squares
Rate
Multiplying/Dividing Signed Numbers
Simplifying Square Roots
Finding the Original Whole
40. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Multiplying and Dividing Powers
Parallel Lines and Transversals
Relative Primes
Finding the Distance Between Two Points
41. 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)
Solving an Inequality
The 5-12-13 Triangle
Repeating Decimal
Area of a Sector
42. Average A per B: (total A)/(total B) - Example: average speed formula - total distance/ total time - Basically: Don't just average the 2 speeds
Surface Area of a Rectangular Solid
Solving a Quadratic Equation
Average Rate
(Least) Common Multiple
43. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
The 3-4-5 Triangle
Finding the Missing Number
Tangency
Probability
44. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Solving a System of Equations
Average Formula -
Intersecting Lines
Probability
45. The 3 angles of any triangle add up to 180 degrees - an exterior angles of a triangle is equal to the sum of the remote interior angles - the 3 exterior angles add up to 360 degrees
Interior and Exterior Angles of a Triangle
Surface Area of a Rectangular Solid
Even/Odd
Finding the Original Whole
46. 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
Triangle Inequality Theorem
Adding and Subtraction Polynomials
Average of Evenly Spaced Numbers
Multiplying Fractions
47. you can add/subtract when the part under the radical is the same
Multiplying and Dividing Powers
Negative Exponent and Rational Exponent
Adding and Subtracting Roots
Finding the Original Whole
48. Subtract the smallest from the largest and add 1
Mixed Numbers and Improper Fractions
Solving an Inequality
Counting Consecutive Integers
Finding the Distance Between Two Points
49. The largest factor that two or more numbers have in common.
Factor/Multiple
Greatest Common Factor
Area of a Circle
Domain and Range of a Function
50. 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
Multiples of 3 and 9
Surface Area of a Rectangular Solid
Negative Exponent and Rational Exponent
Relative Primes