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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. (fg)(x)
Reflected across line y=x
F(x)*g(x)
If polynomial p(x) is divided by x-r then the remainder is p(r)
-c/b

2. relation
1+tan^2x
Set of ordered pairs
F(x)/g(x)
F(x)+g(x)

3. cos(90-x)
1
-b/2a
Sinx
Secx

4. (f+g)(x)
1+tan^2x
(x-h)^2=4p(y-k) p>0 opens up
F(x)+g(x)
C=square root of a^+b^2

5. inverse has to be a function?
(y-k)^2=4p(x-h) p>0 opens rt.
False
F(x)+g(x)
Each x value only has one y

6. x-coordinate of vertex of parabola
-b/2a
Sin an dcos 2pi - tan is pi
y-k=+-(b/a)(x-h)
Log(baseb)p- log(baseb)g

7. sec(pi/2-x)
Cscx
Log(baseb)p- log(baseb)g
Amplitude
F(x)+4

8. general form of trigonometric function
Opens up
Secx^2
1
y=a*f(bx+c)

9. translate 4 units up
.5bcsina
F(x)+4
Each x value only has one y
1 -1 - square root of 2

10. What is another zero of an equation with zero 3+2i
x values
P
3-2i
Cscx

11. log(baseb)(p/g)
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
F(-x)=f(x) x -y -x -y symmetric across y axis
False
Log(baseb)p- log(baseb)g

12. phase shift - general form of trig
F(g(x))
-c/b
If polynomial p(x) is divided by x-r then the remainder is p(r)
x^ab

13. tan(pi/2-x)
y=a*f(bx+c)
2cos^2x-1
Cotx
False

14. general form of trig - b is
Even
Normal per of f/b =period
Cotx
Each x value only has one y

15. conics p
-b/2a - c-(b^2/2a)
-a/b
Distance from parabola to the focus and directrix
If polynomial p(x) is divided by x-r then the remainder is p(r)

16. log(baseb)b
1
Opens up
F(x)-g(x)
Odd

17. 30-60-90 triangle
Opp direction
Secx^2
1
1 - square root of 3 - 2

18. general equation of linear functions
Cscx
Reflected across line y=x
Ax+by+c=0
Cscx^2

19. periods of sin - cos tan
Sin an dcos 2pi - tan is pi
x^ (a-b)
Odd
P

20. hyperbola with x orientation - opens to sides
1
Amplitude
(x-h)/a^2-(y-k)^2/b^2=1
C=square root of (a^2-b^2)

21. general form of quadratic
Inverse
Ax^2+bx+c=y
y-k=+-(b/a)(x-h)
1

22. (f-g)(x)
Opens up
Normal per of f/b =period
Cos^2x-Sin^2x
F(x)-g(x)

23. 2.) Cos2x
False
Set of ordered pairs
2cos^2x-1
x values

24. ellipse major/minor axis
2a - 2b
Set of ordered pairs
Cscx
1

25. parabola with x orientation
Sin an dcos 2pi - tan is pi
(y-k)^2=4p(x-h) p>0 opens rt.
Odd
F(x)*g(x)

26. slope of linear with general equation
Cos^2x-Sin^2x
1
If polynomial p(x) is divided by x-r then the remainder is p(r)
-a/b

27. f(x)*f(x)^-1
Ax^2+bx+c=y
x
y=a*f(bx+c)
Distance from parabola to the focus and directrix

28. x^(-a)
False
1/(x^a)
x^ab
F(x)+g(x)

29. b^(log base b of p)
P
Normal per of f/b =period
Inverse
-b/2a

30. (f/g)(x)
Same direction
2a - 2b
Even
F(x)/g(x)

31. number of positive real zeros of polynomial p(x)
1 -1 - square root of 2
F(-x)=f(x) x -y -x -y symmetric across y axis
x=-b/2a
Equal to number of sign changes between terms or less than that number by an even integer

32. graph of inverse
1 - square root of 3 - 2
y values
Reflected across line y=x
Ax^2+bx+c=y

33. ellipse distance to focus
C=square root of (a^2-b^2)
2(sinx)(cosx)
Log(baseb)p- log(baseb)g
1

34. vertex of parabola
1+tan^2x
Even
1 -1 - square root of 2
-b/2a - c-(b^2/2a)

35. translate 4 units to right
C=square root of (a^2-b^2)
F(-x)=f(x) x -y -x -y symmetric across y axis
Reflected across line y=x
F(x-4)

36. even funtion ends
F(-x)=f(x) x -y -x -y symmetric across y axis
2cos^2x-1
Same direction
F(x-4)

37. range
Cotx
y values
Cscx^2
1-2sin^2x

38. f^-1
C=square root of (a^2-b^2)
Log(baseb)p + log(baseb)g
-b/2a - c-(b^2/2a)
Inverse

39. domain
y-k=+-(b/a)(x-h)
Odd
x values
F(x)-g(x)

40. x^0
Tanx
1
Opens up
F(x)+4

41. axis of symmetry of parabola
x=-b/2a
Cotx
Secx
F(x)*g(x)

42. 1+tanx^2
(y-k)^2=4p(x-h) p>0 opens rt.
(x-h)/a^2-(y-k)^2/b^2=1
3-2i
Secx^2

43. Sec^2x
1+tan^2x
-c/b
2cos^2x-1
y=a*f(bx+c)

44. csc(90-x)
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
Cosx
Reflected across line y=x
Secx

45. product of even and odd function
3-2i
(x-h)^2=4p(y-k) p>0 opens up
Odd
Normal per of f/b =period

46. log(baseb)(p*g)
-c/b
Normal per of f/b =period
Odd
Log(baseb)p + log(baseb)g

47. for quad - a<0
If polynomial p(x) is divided by x-r then the remainder is p(r)
Opens down
Cscx^2
Inverse

48. 1+cotx^2
1+tan^2x
x^ (a+b)
Cscx^2
1

49. x^a * y^a
-c/b
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin
Distance from parabola to the focus and directrix
(xy)^a

50. 45-45-90 triangle
1/(x^a)
Log(baseb)p + log(baseb)g
Odd
1 -1 - square root of 2