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Test your basic knowledge |
SAT Math: Concepts And Tricks
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Subjects
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sat
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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. Probability= Favorable Outcomes/Total Possible Outcomes
Multiplying Fractions
Probability
Adding/Subtracting Fractions
Repeating Decimal
2. 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
Adding and Subtracting Roots
Average Formula -
The 5-12-13 Triangle
Area of a Triangle
3. Volume of a Cylinder = pr^2h
Volume of a Cylinder
Adding and Subtraction Polynomials
Determining Absolute Value
Number Categories
4. 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
Identifying the Parts and the Whole
Using an Equation to Find the Slope
Repeating Decimal
Average of Evenly Spaced Numbers
5. 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.
Area of a Sector
Area of a Triangle
Number Categories
Using Two Points to Find the Slope
6. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Function - Notation - and Evaulation
Median and Mode
Area of a Triangle
Multiplying Monomials
7. Notation: f(x) read: 'f of x' evaluation: if you want to evaluate the function for f(4) - replace x with 4 everywhere in the equation
Multiples of 3 and 9
Solving a System of Equations
Multiplying and Dividing Roots
Function - Notation - and Evaulation
8. 1. Re-express them with common denominators 2. Convert them to decimals
Volume of a Cylinder
Comparing Fractions
Reducing Fractions
Percent Formula
9. Use this example: Example: after a 5% increase - the population was 59 -346. What was the population before the increase? Work: 1.05x=59 -346 Answer: 56 -520
Solving an Inequality
Number Categories
Finding the Original Whole
Area of a Triangle
10. pr^2
Area of a Circle
Solving a System of Equations
Intersection of sets
Multiplying Monomials
11. Use units to keep things straight (make sure you use 1 unit for each thing) Example: use just inches in your cross multiplication - not inches and feet
Greatest Common Factor
Rate
Counting Consecutive Integers
Multiplying Fractions
12. To multiply fractions - multiply the numerators and multiply the denominators
Multiplying Fractions
(Least) Common Multiple
PEMDAS
Solving an Inequality
13. 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)
Intersection of sets
Factor/Multiple
Area of a Sector
Function - Notation - and Evaulation
14. An arc is a piece of the circumference. If n is the degree measure of the arc's central angle - then the formula is: Length of an Arc = 1 (n/360) (2pr)
Exponential Growth
Length of an Arc
Circumference of a Circle
Solving a System of Equations
15. The largest factor that two or more numbers have in common.
Raising Powers to Powers
Adding/Subtracting Signed Numbers
Even/Odd
Greatest Common Factor
16. Combine equations in such a way that one of the variables cancel out
Negative Exponent and Rational Exponent
Using Two Points to Find the Slope
Solving a System of Equations
Combined Percent Increase and Decrease
17. 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
Reducing Fractions
Counting the Possibilities
Comparing Fractions
18. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Setting up a Ratio
Domain and Range of a Function
Interior Angles of a Polygon
Evaluating an Expression
19. 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
Adding/Subtracting Fractions
Raising Powers to Powers
Part-to-Part Ratios and Part-to-Whole Ratios
Using an Equation to Find an Intercept
20. 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
Determining Absolute Value
Adding and Subtraction Polynomials
Adding/Subtracting Signed Numbers
21. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Percent Formula
Volume of a Rectangular Solid
Multiplying Fractions
Multiplying and Dividing Roots
22. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Multiples of 3 and 9
Similar Triangles
Multiplying Fractions
Factor/Multiple
23. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Intersection of sets
Multiplying/Dividing Signed Numbers
Multiplying and Dividing Powers
Area of a Triangle
24. (average of the x coordinates - average of the y coordinates)
Mixed Numbers and Improper Fractions
Counting the Possibilities
Parallel Lines and Transversals
Finding the midpoint
25. Multiply the exponents
Multiplying and Dividing Roots
Pythagorean Theorem
Repeating Decimal
Raising Powers to Powers
26. 1. turn it into ax^2 + bx + c = 0 form 2. factor 3. set both factors equal to zero 4. you get 2 solutions
Dividing Fractions
Solving a Quadratic Equation
Interior and Exterior Angles of a Triangle
Counting Consecutive Integers
27. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Similar Triangles
Tangency
Solving an Inequality
Direct and Inverse Variation
28. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Adding and Subtracting monomials
Percent Formula
Simplifying Square Roots
Area of a Sector
29. 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
Using Two Points to Find the Slope
Counting the Possibilities
Exponential Growth
Average Rate
30. The smallest multiple (other than zero) that two or more numbers have in common.
Adding and Subtracting Roots
Using the Average to Find the Sum
Finding the midpoint
(Least) Common Multiple
31. Use the sum - Example: if the average of 4 #s is 7 - and the #s are 3 - 5 - 8 - and ____ - what is the fourth #? Work: sum= 4*7 =28 3+5+8=16 28-16=? Answer: 12
Finding the Missing Number
Solving a System of Equations
Area of a Sector
Evaluating an Expression
32. Average A per B: (total A)/(total B) - Example: average speed formula - total distance/ total time - Basically: Don't just average the 2 speeds
Similar Triangles
The 5-12-13 Triangle
Average Rate
Evaluating an Expression
33. If a right triangle's leg-to-leg ratio is 5:12 - or if the leg-to-hypotenuse ratio is 5:13 or 12:13 - it's a 5-12-13 triangle
The 5-12-13 Triangle
Probability
Similar Triangles
Intersection of sets
34. 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
Combined Percent Increase and Decrease
Counting the Possibilities
Repeating Decimal
Relative Primes
35. you can add/subtract when the part under the radical is the same
Even/Odd
Average of Evenly Spaced Numbers
Adding and Subtracting Roots
Tangency
36. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Union of Sets
Determining Absolute Value
Area of a Triangle
Multiplying/Dividing Signed Numbers
37. Part = Percent x Whole
Isosceles and Equilateral triangles
Percent Formula
Multiplying Fractions
Solving an Inequality
38. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Adding/Subtracting Fractions
Multiples of 3 and 9
Percent Increase and Decrease
Negative Exponent and Rational Exponent
39. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Interior Angles of a Polygon
Adding and Subtracting monomials
The 3-4-5 Triangle
Raising Powers to Powers
40. 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
(Least) Common Multiple
Setting up a Ratio
Using the Average to Find the Sum
Relative Primes
41. 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
The 3-4-5 Triangle
Negative Exponent and Rational Exponent
Characteristics of a Parallelogram
Finding the Missing Number
42. To increase: add decimal version of percent to one and times that # to the # you want to increase. Example: increase 40 by 25% Work: 1.25*40=? Answer: 50
Negative Exponent and Rational Exponent
Percent Increase and Decrease
Characteristics of a Rectangle
Reducing Fractions
43. 2pr
Solving a System of Equations
Remainders
Circumference of a Circle
Multiples of 3 and 9
44. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Raising Powers to Powers
Relative Primes
Average Formula -
Characteristics of a Parallelogram
45. 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
Union of Sets
Combined Percent Increase and Decrease
Negative Exponent and Rational Exponent
Circumference of a Circle
46. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Percent Increase and Decrease
Determining Absolute Value
(Least) Common Multiple
Parallel Lines and Transversals
47. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Counting Consecutive Integers
Greatest Common Factor
Reducing Fractions
Number Categories
48. The whole # left over after division
Remainders
Using an Equation to Find an Intercept
Average Rate
Counting Consecutive Integers
49. A square is a rectangle with four equal sides; Area of Square = side*side
Determining Absolute Value
Repeating Decimal
Characteristics of a Square
Adding and Subtraction Polynomials
50. 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
Parallel Lines and Transversals
Triangle Inequality Theorem
Simplifying Square Roots
Number Categories