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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. hyperbola with x orientation - opens to sides
Ax^2+bx+c=y
(x-h)/a^2-(y-k)^2/b^2=1
Log(baseb)p + log(baseb)g
x^ab

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

3. x-coordinate of vertex of parabola
Amplitude
Ax+by+c=0
-b/2a
1/(x^a)

4. Sin2x
x=-b/2a
Same direction
2(sinx)(cosx)
y=a*f(bx+c)

5. tan(pi/2-x)
Set of ordered pairs
x=-b/2a
-b/2a - c-(b^2/2a)
Cotx

6. general equation of linear functions
Opens down
Amplitude
1-2sin^2x
Ax+by+c=0

7. vertex of parabola
F(g(x))
Set of ordered pairs
Distance from parabola to the focus and directrix
-b/2a - c-(b^2/2a)

8. ellipse x orientation
F(x-4)
Amplitude
(x-h)^2/a^2+(y-k)^2/b^2=1
Secx^2

9. hyperbola with x orientation - asymptote
y values
1+tan^2x
Sin an dcos 2pi - tan is pi
y-k=+-(b/a)(x-h)

10. 2.) Cos2x
F(x-4)
2cos^2x-1
Sin an dcos 2pi - tan is pi
Cos^2x-Sin^2x

11. phase shift - general form of trig
-c/b
F(x)-g(x)
F(-x)=f(x) x -y -x -y symmetric across y axis
Inverse

12. general form of trigonometric function
y=a*f(bx+c)
1 -1 - square root of 2
Ax+by+c=0
-b/2a

13. sinx^2+cosx^2
Log(baseb)p- log(baseb)g
F(x)*g(x)
F(x-4)
1

14. translate 4 units to right
2a - 2b
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin
F(x-4)
C=square root of a^+b^2

15. for quad - a<0
.5bcsina
(x-h)^2/a^2+(y-k)^2/b^2=1
Odd
Opens down

16. y intercept with general equation
Amplitude
1
F(g(x))
-c/b

17. b^(log base b of p)
1 - square root of 3 - 2
y-k=+-(b/a)(x-h)
Cos^2x-Sin^2x
P

18. f^-1
Each x value only has one y
x^ (a-b)
Same direction
Inverse

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

20. (x^a)^b
x^ab
(x-h)/a^2-(y-k)^2/b^2=1
-b/2a - c-(b^2/2a)
2a - 2b

21. 45-45-90 triangle
1 -1 - square root of 2
Cotx
Log(baseb)p- log(baseb)g
Opens down

22. parabola with y orientation
(x-h)^2=4p(y-k) p>0 opens up
-a/b
Same direction
F(x)*g(x)

23. area of tri
.5bcsina
Equal to number of sign changes between terms or less than that number by an even integer
F(x)/g(x)
F(x-4)

24. What is the remainer of P(x) divided by (x-r)?
If polynomial p(x) is divided by x-r then the remainder is p(r)
Sinx
-a/b
Normal per of f/b =period

25. relation
Same direction
2cos^2x-1
1/(x^a)
Set of ordered pairs

26. function
Each x value only has one y
Opens down
1/(x^a)
Opp direction

27. x^a * x^b
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
1
Distance from parabola to the focus and directrix
x^ (a+b)

28. inverse has to be a function?
False
x^ (a-b)
Sin an dcos 2pi - tan is pi
y-k=+-(b/a)(x-h)

29. (f-g)(x)
Cos^2x-Sin^2x
(xy)^a
1
F(x)-g(x)

30. x^a * y^a
1 -1 - square root of 2
Tanx
-c/b
(xy)^a

31. hyperbola distance to focus
Log(baseb)p + log(baseb)g
C=square root of a^+b^2
(y-k)^2=4p(x-h) p>0 opens rt.
1 - square root of 3 - 2

32. (f/g)(x)
F(x)/g(x)
F(g(x))
Odd
Inverse

33. general form of trig - b is
(y-k)^2=4p(x-h) p>0 opens rt.
x
Normal per of f/b =period
x^ (a+b)

34. even funtion ends
-b/2a
Cotx
Same direction
Set of ordered pairs

35. What is another zero of an equation with zero 3+2i
Distance from parabola to the focus and directrix
x
3-2i
Secx^2

36. periods of sin - cos tan
Opp direction
F(x)+4
Sin an dcos 2pi - tan is pi
x^ab

37. (f+g)(x)
F(x)+g(x)
Cscx
y-k=+-(b/a)(x-h)
Ax^2+bx+c=y

38. range
y values
-c/b
Odd
F(x)+g(x)

39. Sec^2x
1+tan^2x
x^ (a-b)
2(sinx)(cosx)
Odd

40. log(baseb)b
F(x)/g(x)
C=square root of a^+b^2
1
F(x)+g(x)

41. slope of linear with general equation
-a/b
2(sinx)(cosx)
-c/b
Even

42. (fog)(x)
(x-h)/a^2-(y-k)^2/b^2=1
y=a*f(bx+c)
F(g(x))
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)

43. general form of quadratic
Normal per of f/b =period
y-k=+-(b/a)(x-h)
Ax^2+bx+c=y
x^ab

44. (fg)(x)
1-2sin^2x
F(x)*g(x)
Sin an dcos 2pi - tan is pi
Secx^2

45. conics p
-c/b
Each x value only has one y
Distance from parabola to the focus and directrix
-a/b

46. parabola with x orientation
(y-k)^2=4p(x-h) p>0 opens rt.
F(x)/g(x)
1
F(x)+g(x)

47. 30-60-90 triangle
1 - square root of 3 - 2
.5bcsina
Divisors or constant term/divisors of leading coefficient
Reflected across line y=x

48. number of positive real zeros of polynomial p(x)
1
-b/2a - c-(b^2/2a)
x=-b/2a
Equal to number of sign changes between terms or less than that number by an even integer

49. odd function
F(x)+4
Odd
2cos^2x-1
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin

50. f(x)*f(x)^-1
(x-h)/a^2-(y-k)^2/b^2=1
x values
Reflected across line y=x
x