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SAT Math: Concepts And Tricks

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. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).






2. Factor out the perfect squares






3. The median is the value that falls in the middle of the set - the mode is the value that appears most often






4. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180






5. To solve a proportion - cross multiply






6. pr^2






7. Subtract the smallest from the largest and add 1






8. Part = Percent x Whole






9. 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






10. Sum=(Average) x (Number of Terms)






11. Domain: all possible values of x for a function range: all possible outputs of a function






12. To add or subtract fraction - first find a common denominator - then add or subtract the numerators






13. 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)






14. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact






15. The smallest multiple (other than zero) that two or more numbers have in common.






16. 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






17. Surface Area = 2lw + 2wh + 2lh






18. 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






19. To find the reciprocal of a fraction switch the numerator and the denominator






20. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45






21. The whole # left over after division






22. To divide fractions - invert the second one and multiply






23. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive






24. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)






25. Change in y/ change in x rise/run






26. To multiply fractions - multiply the numerators and multiply the denominators






27. 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






28. (average of the x coordinates - average of the y coordinates)






29. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)






30. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional






31. 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






32. 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






33. 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






34. 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






35. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.






36. If a right triangle's leg-to-leg ratio is 3:4 - or if the leg-to-hypotenuse ratio is 3:5 or 4:5 - it's a 3-4-5 triangle and you don't need to use the Pythagorean theorem to find the third side






37. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2






38. 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.






39. 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






40. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS






41. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3






42. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal






43. Multiply the exponents






44. you can add/subtract when the part under the radical is the same






45. 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






46. Direct variation: equation: y=kx - where k is a nonzero constant trick: y changes directly as x does inverse variation: equation: xy=k trick: y doubles as x halves and vice-versa






47. 2pr






48. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width






49. 1. turn it into ax^2 + bx + c = 0 form 2. factor 3. set both factors equal to zero 4. you get 2 solutions






50. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3






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