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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. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Greatest Common Factor
Multiples of 3 and 9
Average of Evenly Spaced Numbers
Similar Triangles
2. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Finding the Original Whole
Interior Angles of a Polygon
Prime Factorization
The 3-4-5 Triangle
3. pr^2
(Least) Common Multiple
Area of a Circle
Number Categories
The 5-12-13 Triangle
4. 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
Function - Notation - and Evaulation
Area of a Circle
Parallel Lines and Transversals
Adding/Subtracting Signed Numbers
5. A square is a rectangle with four equal sides; Area of Square = side*side
Characteristics of a Square
Adding and Subtracting monomials
Multiplying and Dividing Powers
Multiplying and Dividing Roots
6. you can add/subtract when the part under the radical is the same
Intersection of sets
Tangency
Union of Sets
Adding and Subtracting Roots
7. Part = Percent x Whole
Percent Formula
Characteristics of a Parallelogram
Combined Percent Increase and Decrease
Finding the midpoint
8. 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
Average Formula -
Setting up a Ratio
9. Combine like terms
Adding and Subtraction Polynomials
Relative Primes
Counting Consecutive Integers
Combined Percent Increase and Decrease
10. Add the exponents and keep the same base
Intersection of sets
Solving a Quadratic Equation
Multiplying and Dividing Powers
Finding the midpoint
11. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Number Categories
Volume of a Rectangular Solid
Volume of a Cylinder
Adding and Subtracting monomials
12. Factor out the perfect squares
Simplifying Square Roots
Characteristics of a Parallelogram
Dividing Fractions
Volume of a Cylinder
13. Volume of a Cylinder = pr^2h
Volume of a Cylinder
Area of a Triangle
Raising Powers to Powers
Area of a Sector
14. To multiply fractions - multiply the numerators and multiply the denominators
Raising Powers to Powers
Reducing Fractions
Relative Primes
Multiplying Fractions
15. 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)
Length of an Arc
Circumference of a Circle
Solving a Proportion
Number Categories
16. 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
Length of an Arc
Part-to-Part Ratios and Part-to-Whole Ratios
Multiplying Fractions
Rate
17. 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
Percent Increase and Decrease
Finding the Missing Number
Combined Percent Increase and Decrease
Part-to-Part Ratios and Part-to-Whole Ratios
18. 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
Determining Absolute Value
Finding the Missing Number
Area of a Circle
Multiplying Fractions
19. 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
Using an Equation to Find an Intercept
Intersecting Lines
Finding the Distance Between Two Points
Circumference of a Circle
20. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Evaluating an Expression
Domain and Range of a Function
Counting the Possibilities
Adding and Subtraction Polynomials
21. 2pr
Circumference of a Circle
Prime Factorization
Adding and Subtracting Roots
Volume of a Cylinder
22. 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
Finding the Missing Number
Isosceles and Equilateral triangles
Median and Mode
Probability
23. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Average of Evenly Spaced Numbers
Average Formula -
Percent Formula
Counting Consecutive Integers
24. (average of the x coordinates - average of the y coordinates)
Finding the midpoint
Counting the Possibilities
Number Categories
Even/Odd
25. Subtract the smallest from the largest and add 1
Surface Area of a Rectangular Solid
Repeating Decimal
Area of a Circle
Counting Consecutive Integers
26. 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
Multiplying and Dividing Roots
Negative Exponent and Rational Exponent
Percent Formula
Solving an Inequality
27. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Average of Evenly Spaced Numbers
Percent Increase and Decrease
(Least) Common Multiple
Solving a Quadratic Equation
28. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Multiples of 3 and 9
Volume of a Rectangular Solid
Intersection of sets
Multiplying/Dividing Signed Numbers
29. Average A per B: (total A)/(total B) - Example: average speed formula - total distance/ total time - Basically: Don't just average the 2 speeds
Average Rate
The 5-12-13 Triangle
Multiplying Fractions
Solving an Inequality
30. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Similar Triangles
Factor/Multiple
Intersection of sets
Multiplying Fractions
31. 1. Re-express them with common denominators 2. Convert them to decimals
Multiplying/Dividing Signed Numbers
Negative Exponent and Rational Exponent
Comparing Fractions
Characteristics of a Square
32. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Greatest Common Factor
Intersecting Lines
Using Two Points to Find the Slope
Characteristics of a Rectangle
33. The largest factor that two or more numbers have in common.
Using Two Points to Find the Slope
Tangency
Intersection of sets
Greatest Common Factor
34. Domain: all possible values of x for a function range: all possible outputs of a function
Domain and Range of a Function
Pythagorean Theorem
Length of an Arc
Average of Evenly Spaced Numbers
35. Combine equations in such a way that one of the variables cancel out
Intersecting Lines
Probability
Solving a System of Equations
Negative Exponent and Rational Exponent
36. 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
Intersection of sets
Pythagorean Theorem
Simplifying Square Roots
37. The smallest multiple (other than zero) that two or more numbers have in common.
(Least) Common Multiple
Even/Odd
Domain and Range of a Function
Volume of a Cylinder
38. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Union of Sets
Solving a System of Equations
Median and Mode
Finding the midpoint
39. 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)
Multiplying and Dividing Roots
Area of a Sector
Union of Sets
Similar Triangles
40. 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
Percent Formula
Using the Average to Find the Sum
The 5-12-13 Triangle
Part-to-Part Ratios and Part-to-Whole Ratios
41. 1. turn it into ax^2 + bx + c = 0 form 2. factor 3. set both factors equal to zero 4. you get 2 solutions
Adding and Subtracting monomials
Counting the Possibilities
Solving a Quadratic Equation
Area of a Circle
42. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Remainders
Area of a Sector
Finding the Distance Between Two Points
Adding and Subtracting monomials
43. Probability= Favorable Outcomes/Total Possible Outcomes
Multiples of 3 and 9
Part-to-Part Ratios and Part-to-Whole Ratios
Probability
Counting Consecutive Integers
44. 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
Dividing Fractions
Multiples of 3 and 9
Counting the Possibilities
Factor/Multiple
45. 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
Average Rate
Negative Exponent and Rational Exponent
Greatest Common Factor
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
Solving an Inequality
Triangle Inequality Theorem
Repeating Decimal
Multiplying/Dividing Signed Numbers
47. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Negative Exponent and Rational Exponent
Interior and Exterior Angles of a Triangle
Finding the Original Whole
Adding/Subtracting Fractions
48. 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
Part-to-Part Ratios and Part-to-Whole Ratios
Repeating Decimal
The 3-4-5 Triangle
Counting the Possibilities
49. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Solving an Inequality
Adding and Subtracting monomials
Probability
Finding the Distance Between Two Points
50. 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
Function - Notation - and Evaulation
Relative Primes
Adding/Subtracting Signed Numbers
Using an Equation to Find an Intercept