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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. csc(90-x)
Distance from parabola to the focus and directrix
Secx
-a/b
Normal per of f/b =period

2. parabola with y orientation
Amplitude
Opens up
-b/2a
(x-h)^2=4p(y-k) p>0 opens up

3. 1+tanx^2
Odd
Secx^2
2(sinx)(cosx)
1

4. x^a * y^a
C=square root of a^+b^2
3-2i
x^ (a+b)
(xy)^a

5. phase shift - general form of trig
Log(baseb)p- log(baseb)g
-c/b
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin
1/(x^a)

6. What is the remainer of P(x) divided by (x-r)?
1+tan^2x
If polynomial p(x) is divided by x-r then the remainder is p(r)
-c/b
Cosx

7. translate 4 units up
F(x)+4
Sinx
-c/b
(x-h)/a^2-(y-k)^2/b^2=1

8. sin(pi/2-x)
.5bcsina
Cosx
Set of ordered pairs
x^ (a+b)

9. log(baseb)(p/g)
-a/b
(x-h)^2/a^2+(y-k)^2/b^2=1
Even
Log(baseb)p- log(baseb)g

10. log(baseb)b
Even
1
(x-h)^2=4p(y-k) p>0 opens up
Log(baseb)p + log(baseb)g

11. (f/g)(x)
Opp direction
1
Odd
F(x)/g(x)

12. (fog)(x)
Ax+by+c=0
2(sinx)(cosx)
F(g(x))
-c/b

13. inverse has to be a function?
Cscx
False
1+tan^2x
Each x value only has one y

14. 30-60-90 triangle
1 - square root of 3 - 2
(y-k)^2=4p(x-h) p>0 opens rt.
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
Opens up

15. tan(pi/2-x)
Cotx
x^ab
1
Divisors or constant term/divisors of leading coefficient

16. (fg)(x)
F(g(x))
Each x value only has one y
F(x)*g(x)
1

17. hyperbola with x orientation - opens to sides
(x-h)/a^2-(y-k)^2/b^2=1
Inverse
x=-b/2a
Amplitude

18. 1+cotx^2
Inverse
1-2sin^2x
Amplitude
Cscx^2

19. relation
Same direction
Each x value only has one y
Ax+by+c=0
Set of ordered pairs

20. vertex of parabola
(x-h)^2=4p(y-k) p>0 opens up
-b/2a
F(x)*g(x)
-b/2a - c-(b^2/2a)

21. product of even and odd function
x^ab
Opens down
Odd
Set of ordered pairs

22. axis of symmetry of parabola
Tanx
1/(x^a)
x=-b/2a
x^ (a-b)

23. 3.) Cos2x
-a/b
C=square root of a^+b^2
1-2sin^2x
Reflected across line y=x

24. for quad - a<0
2cos^2x-1
x^ (a-b)
Opens down
Secx

25. f^-1
Inverse
x^ (a-b)
C=square root of (a^2-b^2)
Each x value only has one y

26. What are the rational zeros of p(x)?
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
Secx^2
Divisors or constant term/divisors of leading coefficient
Even

27. range
Log(baseb)p + log(baseb)g
-b/2a
y values
Log(baseb)p- log(baseb)g

28. x^(-a)
Inverse
Divisors or constant term/divisors of leading coefficient
x^ (a+b)
1/(x^a)

29. Sec^2x
Normal per of f/b =period
Odd
1+tan^2x
False

30. cot(90-x)
2cos^2x-1
Tanx
(y-k)^2=4p(x-h) p>0 opens rt.
F(-x)=f(x) x -y -x -y symmetric across y axis

31. f(x)*f(x)^-1
y=a*f(bx+c)
.5bcsina
-b/2a
x

32. ellipse major/minor axis
x
-c/b
C=square root of a^+b^2
2a - 2b

33. graph of inverse
F(x)/g(x)
F(x)-g(x)
2a - 2b
Reflected across line y=x

34. function
1-2sin^2x
y=a*f(bx+c)
Each x value only has one y
Tanx

35. x-coordinate of vertex of parabola
-b/2a - c-(b^2/2a)
-b/2a
1 - square root of 3 - 2
Inverse

36. hyperbola with x orientation - asymptote
False
y-k=+-(b/a)(x-h)
Same direction
C=square root of (a^2-b^2)

37. ellipse distance to focus
C=square root of (a^2-b^2)
F(x)-g(x)
2a - 2b
x^ab

38. sinx^2+cosx^2
2(sinx)(cosx)
Log(baseb)p + log(baseb)g
Ax^2+bx+c=y
1

39. conics p
Distance from parabola to the focus and directrix
Log(baseb)p- log(baseb)g
F(x)*g(x)
Sin an dcos 2pi - tan is pi

40. x^0
-c/b
Each x value only has one y
1
C=square root of a^+b^2

41. cos(90-x)
Opp direction
(x-h)/a^2-(y-k)^2/b^2=1
Sinx
Distance from parabola to the focus and directrix

42. even funtion ends
Same direction
2a - 2b
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin
F(x)*g(x)

43. general form of trig - b is
Normal per of f/b =period
Set of ordered pairs
1
1

44. ellipse x orientation
F(-x)=f(x) x -y -x -y symmetric across y axis
y=a*f(bx+c)
(x-h)^2/a^2+(y-k)^2/b^2=1
Set of ordered pairs

45. sum of even functions
.5bcsina
Sin an dcos 2pi - tan is pi
-c/b
Even

46. number of positive real zeros of polynomial p(x)
1 - square root of 3 - 2
Equal to number of sign changes between terms or less than that number by an even integer
-a/b
If polynomial p(x) is divided by x-r then the remainder is p(r)

47. (f-g)(x)
F(x)-g(x)
1/(x^a)
Same direction
Opens down

48. x^a * x^b
Cos^2x-Sin^2x
If polynomial p(x) is divided by x-r then the remainder is p(r)
x^ (a+b)
Inverse

49. sum of odd functions
Amplitude
F(g(x))
-c/b
Odd

50. log(baseb)(p*g)
2cos^2x-1
-b/2a - c-(b^2/2a)
Cos^2x-Sin^2x
Log(baseb)p + log(baseb)g