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SAT Math Level 2 Subject Test

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. general form of trig - a is
Amplitude
(xy)^a
Divisors or constant term/divisors of leading coefficient
Opp direction

2. phase shift - general form of trig
-c/b
Equal to number of sign changes between terms or less than that number by an even integer
Opp direction
Each x value only has one y

3. translate 4 units to right
Inverse
F(x-4)
1 - square root of 3 - 2
1 -1 - square root of 2

4. product of even and odd function
(x-h)/a^2-(y-k)^2/b^2=1
Inverse
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
Odd

5. axis of symmetry of parabola
x=-b/2a
Opp direction
F(x-4)
x^ab

6. sum of odd functions
Normal per of f/b =period
Equal to number of sign changes between terms or less than that number by an even integer
Odd
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin

7. f(x)*f(x)^-1
Ax^2+bx+c=y
x
If polynomial p(x) is divided by x-r then the remainder is p(r)
Even

8. general form of trigonometric function
Opens down
y=a*f(bx+c)
Odd
-b/2a

9. conics p
Sin an dcos 2pi - tan is pi
Distance from parabola to the focus and directrix
x^ (a+b)
Ax^2+bx+c=y

10. sum of even functions
.5bcsina
Odd
Even
-c/b

11. is r a zero of a polynomial?
-c/b
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
Even
1 -1 - square root of 2

12. range
Distance from parabola to the focus and directrix
y values
x^ (a-b)
C=square root of (a^2-b^2)

13. f^-1
1
Log(baseb)p- log(baseb)g
Inverse
-c/b

14. What is another zero of an equation with zero 3+2i
Equal to number of sign changes between terms or less than that number by an even integer
3-2i
Normal per of f/b =period
C=square root of (a^2-b^2)

15. x^0
Cosx
-c/b
1
y=a*f(bx+c)

16. ellipse x orientation
F(x)*g(x)
(x-h)^2/a^2+(y-k)^2/b^2=1
1/(x^a)
.5bcsina

17. x^(-a)
F(-x)=f(x) x -y -x -y symmetric across y axis
F(x)-g(x)
1/(x^a)
1+tan^2x

18. ellipse distance to focus
Reflected across line y=x
F(x)-g(x)
F(x)*g(x)
C=square root of (a^2-b^2)

19. periods of sin - cos tan
C=square root of a^+b^2
-c/b
y=a*f(bx+c)
Sin an dcos 2pi - tan is pi

20. (fg)(x)
Cotx
1+tan^2x
F(x)*g(x)
Normal per of f/b =period

21. 1+cotx^2
If polynomial p(x) is divided by x-r then the remainder is p(r)
Cscx^2
-b/2a - c-(b^2/2a)
F(x)*g(x)

22. odd function ends
F(x)/g(x)
Opp direction
Amplitude
x^ab

23. (fog)(x)
F(x)/g(x)
F(g(x))
-b/2a - c-(b^2/2a)
Inverse

24. graph of inverse
F(x)-g(x)
Sinx
1
Reflected across line y=x

25. for quad - a>0
Opens up
F(x)+g(x)
C=square root of (a^2-b^2)
(y-k)^2=4p(x-h) p>0 opens rt.

26. 2.) Cos2x
y-k=+-(b/a)(x-h)
2cos^2x-1
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin
Each x value only has one y

27. Sin2x
2(sinx)(cosx)
1-2sin^2x
Cscx
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin

28. domain
Set of ordered pairs
Reflected across line y=x
x values
Secx

29. vertex of parabola
False
Divisors or constant term/divisors of leading coefficient
Even
-b/2a - c-(b^2/2a)

30. relation
(xy)^a
P
Cosx
Set of ordered pairs

31. log(baseb)b
1+tan^2x
C=square root of (a^2-b^2)
1
F(x)+g(x)

32. tan(pi/2-x)
-c/b
F(g(x))
Cotx
.5bcsina

33. csc(90-x)
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin
Reflected across line y=x
Secx
2a - 2b

34. parabola with x orientation
-b/2a
Even
Reflected across line y=x
(y-k)^2=4p(x-h) p>0 opens rt.

35. parabola with y orientation
1 -1 - square root of 2
1
(x-h)^2=4p(y-k) p>0 opens up
x=-b/2a

36. hyperbola distance to focus
(xy)^a
C=square root of a^+b^2
x values
Reflected across line y=x

37. (f-g)(x)
F(x)-g(x)
-c/b
Even
Odd

38. x^a * y^a
-b/2a - c-(b^2/2a)
Log(baseb)p + log(baseb)g
(x-h)/a^2-(y-k)^2/b^2=1
(xy)^a

39. (x^a)^b
x^ab
P
y=a*f(bx+c)
Distance from parabola to the focus and directrix

40. 30-60-90 triangle
1
Tanx
2cos^2x-1
1 - square root of 3 - 2

41. odd function
F(x-4)
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin
If polynomial p(x) is divided by x-r then the remainder is p(r)
Amplitude

42. general form of trig - b is
Normal per of f/b =period
x^ (a-b)
Opens down
1 - square root of 3 - 2

43. for quad - a<0
Odd
Opens down
(y-k)^2=4p(x-h) p>0 opens rt.
Equal to number of sign changes between terms or less than that number by an even integer

44. number of positive real zeros of polynomial p(x)
y values
Even
Equal to number of sign changes between terms or less than that number by an even integer
F(x)-g(x)

45. area of tri
.5bcsina
1-2sin^2x
1
Each x value only has one y

46. cos(90-x)
Sinx
(y-k)^2=4p(x-h) p>0 opens rt.
Log(baseb)p + log(baseb)g
Same direction

47. sec(pi/2-x)
Cscx
Cotx
x^ab
Cos^2x-Sin^2x

48. What is the remainer of P(x) divided by (x-r)?
1
Divisors or constant term/divisors of leading coefficient
If polynomial p(x) is divided by x-r then the remainder is p(r)
C=square root of a^+b^2

49. 1.) Cos2x
Cos^2x-Sin^2x
False
.5bcsina
1 -1 - square root of 2

50. 1+tanx^2
Secx^2
Odd
F(x-4)
F(x)/g(x)