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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. conics p
Distance from parabola to the focus and directrix
C=square root of a^+b^2
Cscx
(xy)^a

2. hyperbola distance to focus
C=square root of a^+b^2
2cos^2x-1
F(x)+g(x)
-b/2a

3. Sec^2x
Cscx^2
Secx
1+tan^2x
x values

4. 2.) Cos2x
P
2cos^2x-1
If polynomial p(x) is divided by x-r then the remainder is p(r)
Sinx

5. odd function ends
y=a*f(bx+c)
Opp direction
Even
F(x)/g(x)

6. odd function
-b/2a
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin
1
Each x value only has one y

7. periods of sin - cos tan
Sin an dcos 2pi - tan is pi
1 - square root of 3 - 2
Log(baseb)p + log(baseb)g
1 -1 - square root of 2

8. vertex of parabola
-b/2a - c-(b^2/2a)
Log(baseb)p + log(baseb)g
x=-b/2a
-c/b

9. Sin2x
F(-x)=f(x) x -y -x -y symmetric across y axis
Reflected across line y=x
1 - square root of 3 - 2
2(sinx)(cosx)

10. f(x)*f(x)^-1
Cotx
x
Cosx
If polynomial p(x) is divided by x-r then the remainder is p(r)

11. b^(log base b of p)
Cosx
P
(x-h)/a^2-(y-k)^2/b^2=1
Cscx

12. translate 4 units to right
F(x-4)
Opp direction
-b/2a
Cscx

13. log(baseb)(p*g)
Cscx
-a/b
Log(baseb)p + log(baseb)g
x^ (a-b)

14. csc(90-x)
-c/b
Odd
Secx
(x-h)^2/a^2+(y-k)^2/b^2=1

15. What are the rational zeros of p(x)?
2cos^2x-1
-b/2a - c-(b^2/2a)
Divisors or constant term/divisors of leading coefficient
Cscx^2

16. area of tri
2(sinx)(cosx)
-a/b
y values
.5bcsina

17. (fog)(x)
.5bcsina
Secx^2
Ax+by+c=0
F(g(x))

18. log(baseb)(p/g)
-b/2a
x=-b/2a
Log(baseb)p- log(baseb)g
2(sinx)(cosx)

19. phase shift - general form of trig
1
Tanx
-c/b
Cos^2x-Sin^2x

20. general form of trig - a is
If polynomial p(x) is divided by x-r then the remainder is p(r)
Opp direction
Even
Amplitude

21. even funtion ends
Same direction
(x-h)^2/a^2+(y-k)^2/b^2=1
Log(baseb)p + log(baseb)g
F(x-4)

22. y intercept with general equation
Log(baseb)p + log(baseb)g
2cos^2x-1
Equal to number of sign changes between terms or less than that number by an even integer
-c/b

23. x^(-a)
-c/b
x^ab
1/(x^a)
1

24. hyperbola with x orientation - asymptote
Amplitude
y-k=+-(b/a)(x-h)
Inverse
1 -1 - square root of 2

25. ellipse distance to focus
y-k=+-(b/a)(x-h)
F(x)*g(x)
C=square root of (a^2-b^2)
Inverse

26. slope of linear with general equation
-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)
1 -1 - square root of 2

27. cot(90-x)
2(sinx)(cosx)
Cscx^2
Tanx
Log(baseb)p- log(baseb)g

28. sum of even functions
(x-h)^2/a^2+(y-k)^2/b^2=1
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
Even
.5bcsina

29. sec(pi/2-x)
x values
If polynomial p(x) is divided by x-r then the remainder is p(r)
Odd
Cscx

30. even function
Odd
Cotx
(x-h)^2=4p(y-k) p>0 opens up
F(-x)=f(x) x -y -x -y symmetric across y axis

31. (f-g)(x)
1/(x^a)
Cscx^2
y-k=+-(b/a)(x-h)
F(x)-g(x)

32. function
1
Divisors or constant term/divisors of leading coefficient
-b/2a
Each x value only has one y

33. general form of trig - b is
False
Inverse
1/(x^a)
Normal per of f/b =period

34. What is the remainer of P(x) divided by (x-r)?
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
Log(baseb)p- log(baseb)g
If polynomial p(x) is divided by x-r then the remainder is p(r)

35. for quad - a>0
(x-h)^2/a^2+(y-k)^2/b^2=1
Opens up
Odd
Secx^2

36. (f+g)(x)
F(x)+g(x)
1 -1 - square root of 2
2(sinx)(cosx)
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin

37. general form of quadratic
Each x value only has one y
Sin an dcos 2pi - tan is pi
1
Ax^2+bx+c=y

38. translate 4 units up
Cos^2x-Sin^2x
F(x)+4
-b/2a
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin

39. inverse has to be a function?
F(-x)=f(x) x -y -x -y symmetric across y axis
False
Odd
Divisors or constant term/divisors of leading coefficient

40. (f/g)(x)
F(x)/g(x)
Sinx
F(x)+4
If polynomial p(x) is divided by x-r then the remainder is p(r)

41. 1.) Cos2x
Sinx
Cos^2x-Sin^2x
Secx^2
F(g(x))

42. x^a * x^b
y-k=+-(b/a)(x-h)
(x-h)/a^2-(y-k)^2/b^2=1
x^ (a+b)
Set of ordered pairs

43. 45-45-90 triangle
C=square root of a^+b^2
If polynomial p(x) is divided by x-r then the remainder is p(r)
1 -1 - square root of 2
F(-x)=f(x) x -y -x -y symmetric across y axis

44. x^a * y^a
(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
(xy)^a
F(x)-g(x)

45. ellipse major/minor axis
Opens up
C=square root of a^+b^2
Cosx
2a - 2b

46. sum of odd functions
Odd
3-2i
Same direction
P

47. x-coordinate of vertex of parabola
1 -1 - square root of 2
y-k=+-(b/a)(x-h)
Odd
-b/2a

48. is r a zero of a polynomial?
F(-x)=f(x) x -y -x -y symmetric across y axis
x^ (a-b)
(x-h)^2=4p(y-k) p>0 opens up
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)

49. sinx^2+cosx^2
Opp direction
1 -1 - square root of 2
1
Sinx

50. number of positive real zeros of polynomial p(x)
2cos^2x-1
False
Cscx
Equal to number of sign changes between terms or less than that number by an even integer