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SAT Math 1 Formulas

Subjects : sat, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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. Arc
(x - h)² / a² + (y - k)² / b² = 1
(x-h)²+(y-k)²=r²
(4/3)(pi)r³
Degree/360 x circumference

2. i4
A²+b²+c²=d²
(x - h)² / a² + (y - k)² / b² = 1
1
Bh

3. odd+odd
LogA/log1
2(pi)r
Even
(1/3)Bh (B=area of base)

4. (x+y)²=
(pi)r²h
I
x²+2xy+y²
Negative

5. SA of Rectangular Solid
All the numbers that are evenly divisible by the original number; multiples of 6 = 6 -12 -18...
A²+b²+c²=d²
2lw+2wh+2lh
Even

6. Work Done
S²v3÷4
Bh (B = area of base)
Rate of work x time
Bh

7. Volume of Sphere
Odd
(4/3)(pi)r³
x²+2xy+y²
4(pi)r²

8. Area of Trapezoid
Bh (B = area of base)
Even
[(b1+b2)÷2]h
An=a1+(n-1)d

9. Equation of Ellipse
(x - h)² / a² + (y - k)² / b² = 1
Even
Even
Bh (B = area of base)

10. Area of Circle
An=a1+(n-1)d
Negative
(pi)r²
LogA/log1

11. even+odd
A²+b²+c²=d²
-i
Odd
(1/3)(pi)r²h

12. Change of Base Formula (log1A)
I
6s²
N(a1+an/2)
LogA/log1

13. Distance in 3 Dimensions
LogA/log1
(x-h)²+(y-k)²=r²
V(x2-x1)²+(y2-y1)²+(z2-z1)²
Original x (1 ± rate)^number of changes

14. Distance
All the numbers by which a number can be divided evenly; 60's factors = 1 -2 -3 -4 -... -30 -60
Bh
(1/3)(pi)r²h
Rate x time

15. i³
LogA/log1
Original x (1 ± rate)^number of changes
-i
V(x2-x1)²+(y2-y1)²+(z2-z1)²

16. i
N(a1+an/2)
1
V-1
(pi)r²

17. Standard Parabola
(x - h)² / a² + (y - k)² / b² = 1
-1
Original x (1 ± rate)^number of changes
y=a(x-h)²+k

18. odd-odd
(amount of change/original) x 100
Total distance/total time
Sv3
Even

19. log0N (0=b)
(1/3)Bh (B=area of base)
Odd
Distance/rate
B^x=N

20. Volume of Rectangular Solid
x²+2xy+y²
y=a(x-h)²+k
Bh (B = area of base)
Lwh

21. Area of Triangle
Odd
Degree/360 x area
3 -4 -5; 6 -8 -10; 5 -12 -13; 8 -17 -15; 7 -24 -25
.5absin?

22. even x even
Odd
Sv3
(4/3)(pi)r³
Even

23. even-even
Even
x²+2xy+y²
Bh
Rate of work x time

24. Area of Parallelogram
Even
Bh
B²-4ac >0 - 2 real roots =0 - 1 real (square) <0 - no real
Degree/360 x circumference

25. SA of Sphere
.5absin?
Even
4(pi)r²
LogA/log1

26. Long Diagonal of Rectangular Solid
[(b1+b2)÷2]h
A²+b²+c²=d²
1
-1

27. sin²x+cos²x
S²v3÷4
All the numbers that are evenly divisible by the original number; multiples of 6 = 6 -12 -18...
1
(amount of change/original) x 100

28. A negative number raised to an odd power is
Negative
Even
6s²
Odd

29. Sum of Angles in n-sided polygon
3 -4 -5; 6 -8 -10; 5 -12 -13; 8 -17 -15; 7 -24 -25
Sv2
(n-2)x180°
6s²

30. Sum of first n terms in arithmetic sequence
4(pi)r²
Degree/360 x circumference
Positive
N(a1+an/2)

31. Cube Long Diagonal
1
Sv3
(4/3)(pi)r³
(x - h)² / a² + (y - k)² / b² = 1

32. Volume of Pyramid
3v8²
(1/3)Bh (B=area of base)
A²+b²+c²=d²
Positive

33. Volume of Prism
3 -4 -5; 6 -8 -10; 5 -12 -13; 8 -17 -15; 7 -24 -25
N(a1+an/2)
(x - h)² / a² + (y - k)² / b² = 1
Bh (B = area of base)

34. Cube face DIagonal
V-1
Sv2
4(pi)r²
(1/3)Bh (B=area of base)

35. tanx
Sinx/cosx
(pi)r²h
Even
2(pi)r

36. odd x odd
x²+2xy+y²
(x - h)² / a² + (y - k)² / b² = 1
Odd
I

37. Volume of Cylinder
(pi)r²h
y=a(x-h)²+k
.5absin?
1

38. Time
3 -4 -5; 6 -8 -10; 5 -12 -13; 8 -17 -15; 7 -24 -25
4(pi)r²
Rate of work x time
Distance/rate

39. i¹
Negative
4(pi)r²
y=k/x
I

40. i²
6s²
-1
A²+b²+c²=d²
Sv2

41. Factor

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42. SA of Cone
Even
Distance/rate
(pi)rl+(pi)r² (l is slant height)
Even

43. Repeated Change Formula
V(x2-x1)²+(y2-y1)²+(z2-z1)²
Original x (1 ± rate)^number of changes
1
Bh (B = area of base)

44. even x odd
Even
[(b1+b2)÷2]h
Degree/360 x circumference
V(x2-x1)²+(y2-y1)²+(z2-z1)²

45. SA of Cylinder
2(pi)r²+2(pi)rh
An=a1+(n-1)d
(amount of change/original) x 100
1

46. SA of Cube
(pi)r²
(x-h)²+(y-k)²=r²
Even
6s²

47. A positive number raised to any power is
(x - h)² / a² + (y - k)² / b² = 1
Bh
Positive
Odd

48. Average Speed
Even
Total distance/total time
4(pi)r²
Even

49. Equation of Circle
.5absin?
Negative
(pi)rl+(pi)r² (l is slant height)
(x-h)²+(y-k)²=r²

50. Volume of Cone
1
(pi)r²h
[(b1+b2)÷2]h
(1/3)(pi)r²h