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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. inverse has to be a function?
Cscx
False
Even
3-2i

2. What is the remainer of P(x) divided by (x-r)?
3-2i
F(x)*g(x)
False
If polynomial p(x) is divided by x-r then the remainder is p(r)

3. What are the rational zeros of p(x)?
Divisors or constant term/divisors of leading coefficient
1 -1 - square root of 2
1 - square root of 3 - 2
y values

4. Sin2x
If polynomial p(x) is divided by x-r then the remainder is p(r)
-c/b
2(sinx)(cosx)
(x-h)/a^2-(y-k)^2/b^2=1

5. hyperbola with x orientation - asymptote
Log(baseb)p- log(baseb)g
(xy)^a
y-k=+-(b/a)(x-h)
Distance from parabola to the focus and directrix

6. axis of symmetry of parabola
x=-b/2a
1
Log(baseb)p + log(baseb)g
Equal to number of sign changes between terms or less than that number by an even integer

7. (fg)(x)
1-2sin^2x
F(x)*g(x)
Ax+by+c=0
y values

8. What is another zero of an equation with zero 3+2i
2(sinx)(cosx)
F(x)/g(x)
2cos^2x-1
3-2i

9. b^(log base b of p)
Opp direction
-c/b
Inverse
P

10. cos(90-x)
Sinx
Opp direction
Equal to number of sign changes between terms or less than that number by an even integer
If polynomial p(x) is divided by x-r then the remainder is p(r)

11. (fog)(x)
Inverse
y-k=+-(b/a)(x-h)
F(g(x))
F(-x)=f(x) x -y -x -y symmetric across y axis

12. sum of even functions
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
Distance from parabola to the focus and directrix
Sinx
Even

13. for quad - a<0
x values
F(x)/g(x)
Opens down
Sinx

14. domain
Tanx
Sin an dcos 2pi - tan is pi
x values
Ax+by+c=0

15. tan(pi/2-x)
.5bcsina
x=-b/2a
Cscx
Cotx

16. 30-60-90 triangle
Each x value only has one y
1 - square root of 3 - 2
x^ (a+b)
P

17. 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
.5bcsina
(xy)^a

18. f(x)*f(x)^-1
x
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin
Normal per of f/b =period
Ax+by+c=0

19. hyperbola with x orientation - opens to sides
-b/2a
-c/b
(x-h)/a^2-(y-k)^2/b^2=1
F(x)-g(x)

20. log(baseb)b
1/(x^a)
1
Cscx
Inverse

21. even function
F(-x)=f(x) x -y -x -y symmetric across y axis
Cscx^2
-c/b
Equal to number of sign changes between terms or less than that number by an even integer

22. conics p
Normal per of f/b =period
1
Distance from parabola to the focus and directrix
3-2i

23. general form of trig - a is
Secx
P
Amplitude
F(x)-g(x)

24. number of positive real zeros of polynomial p(x)
x^ (a-b)
Equal to number of sign changes between terms or less than that number by an even integer
Ax+by+c=0
Inverse

25. for quad - a>0
C=square root of (a^2-b^2)
Opens up
P
1-2sin^2x

26. ellipse x orientation
(x-h)^2/a^2+(y-k)^2/b^2=1
Sinx
Same direction
P

27. x^a * y^a
x^ (a-b)
(xy)^a
Normal per of f/b =period
Distance from parabola to the focus and directrix

28. area of tri
.5bcsina
1 - square root of 3 - 2
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
-b/2a

29. f^-1
-a/b
1-2sin^2x
Inverse
If polynomial p(x) is divided by x-r then the remainder is p(r)

30. 1+cotx^2
-c/b
Cscx^2
(x-h)/a^2-(y-k)^2/b^2=1
Inverse

31. function
Same direction
-a/b
Each x value only has one y
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin

32. 1+tanx^2
-c/b
Secx^2
Log(baseb)p + log(baseb)g
C=square root of a^+b^2

33. general form of trig - b is
Normal per of f/b =period
F(x-4)
-c/b
.5bcsina

34. translate 4 units to right
Normal per of f/b =period
Opens down
Inverse
F(x-4)

35. general equation of linear functions
(x-h)^2/a^2+(y-k)^2/b^2=1
Even
Ax+by+c=0
1

36. sum of odd functions
Odd
F(x)/g(x)
1
Sin an dcos 2pi - tan is pi

37. graph of inverse
1
x values
F(x)*g(x)
Reflected across line y=x

38. log(baseb)(p/g)
Log(baseb)p- log(baseb)g
Tanx
Sinx
False

39. (x^a)^b
1+tan^2x
Inverse
1
x^ab

40. (f/g)(x)
Ax+by+c=0
1 -1 - square root of 2
F(x)/g(x)
Sinx

41. Sec^2x
Secx^2
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
1+tan^2x
C=square root of (a^2-b^2)

42. x^a * x^b
x
F(x-4)
x^ (a+b)
y-k=+-(b/a)(x-h)

43. csc(90-x)
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
-b/2a
Odd
Secx

44. x^0
-b/2a
Inverse
1 - square root of 3 - 2
1

45. (f+g)(x)
F(x)+g(x)
x^ (a-b)
Opens down
Same direction

46. vertex of parabola
-b/2a - c-(b^2/2a)
Odd
(x-h)^2/a^2+(y-k)^2/b^2=1
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin

47. x^a /x^b
Cscx
If polynomial p(x) is divided by x-r then the remainder is p(r)
x^ (a-b)
Ax+by+c=0

48. odd function ends
(y-k)^2=4p(x-h) p>0 opens rt.
Even
Opp direction
x^ (a+b)

49. hyperbola distance to focus
Equal to number of sign changes between terms or less than that number by an even integer
Distance from parabola to the focus and directrix
(x-h)/a^2-(y-k)^2/b^2=1
C=square root of a^+b^2

50. x^(-a)
1
P
1/(x^a)
1+tan^2x