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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. (f-g)(x)
F(x)+g(x)
F(x)-g(x)
x^ (a+b)
Log(baseb)p + log(baseb)g

2. (fog)(x)
3-2i
F(g(x))
1 -1 - square root of 2
C=square root of (a^2-b^2)

3. graph of inverse
-c/b
Reflected across line y=x
Odd
Secx

4. general form of trig - b is
Normal per of f/b =period
Inverse
F(x)-g(x)
Cosx

5. for quad - a>0
Odd
x^ab
Opens up
F(-x)=f(x) x -y -x -y symmetric across y axis

6. inverse has to be a function?
2a - 2b
If polynomial p(x) is divided by x-r then the remainder is p(r)
x values
False

7. (x^a)^b
x^ab
-c/b
Odd
F(x)/g(x)

8. x^a /x^b
x^ (a-b)
2(sinx)(cosx)
1-2sin^2x
(y-k)^2=4p(x-h) p>0 opens rt.

9. periods of sin - cos tan
.5bcsina
Sin an dcos 2pi - tan is pi
(xy)^a
1+tan^2x

10. hyperbola with x orientation - opens to sides
(x-h)/a^2-(y-k)^2/b^2=1
x^ (a-b)
1 - square root of 3 - 2
y-k=+-(b/a)(x-h)

11. What is the remainer of P(x) divided by (x-r)?
False
If polynomial p(x) is divided by x-r then the remainder is p(r)
F(x)*g(x)
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin

12. x^0
Odd
-a/b
1
Cos^2x-Sin^2x

13. f(x)*f(x)^-1
Each x value only has one y
x
Ax+by+c=0
False

14. hyperbola distance to focus
C=square root of a^+b^2
Set of ordered pairs
Cscx^2
-c/b

15. range
Opp direction
Secx
y values
Cos^2x-Sin^2x

16. ellipse major/minor axis
Cotx
Secx^2
2a - 2b
Same direction

17. general form of trig - a is
F(g(x))
Amplitude
1
Inverse

18. csc(90-x)
3-2i
Secx
(x-h)^2/a^2+(y-k)^2/b^2=1
x=-b/2a

19. f^-1
Inverse
Opens up
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
-c/b

20. sum of odd functions
(x-h)^2/a^2+(y-k)^2/b^2=1
F(-x)=f(x) x -y -x -y symmetric across y axis
Odd
Opp direction

21. sec(pi/2-x)
Cscx^2
y=a*f(bx+c)
Cotx
Cscx

22. What is another zero of an equation with zero 3+2i
3-2i
-a/b
F(g(x))
Log(baseb)p- log(baseb)g

23. sin(pi/2-x)
F(g(x))
Cosx
F(x)+4
Log(baseb)p + log(baseb)g

24. sum of even functions
Log(baseb)p- log(baseb)g
y-k=+-(b/a)(x-h)
Opens down
Even

25. even funtion ends
(y-k)^2=4p(x-h) p>0 opens rt.
Opens up
1
Same direction

26. function
Even
Each x value only has one y
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin
1 -1 - square root of 2

27. slope of linear with general equation
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
1
-a/b
x^ab

28. general equation of linear functions
3-2i
Ax+by+c=0
Even
.5bcsina

29. vertex of parabola
Set of ordered pairs
(x-h)^2=4p(y-k) p>0 opens up
Cosx
-b/2a - c-(b^2/2a)

30. 3.) Cos2x
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
1-2sin^2x
-c/b
Equal to number of sign changes between terms or less than that number by an even integer

31. ellipse x orientation
Same direction
F(x)*g(x)
(x-h)^2/a^2+(y-k)^2/b^2=1
Ax^2+bx+c=y

32. log(baseb)b
Odd
1 -1 - square root of 2
1
Set of ordered pairs

33. Sin2x
Opens up
2(sinx)(cosx)
C=square root of a^+b^2
Amplitude

34. x^(-a)
x^ab
Opens down
1/(x^a)
(x-h)^2/a^2+(y-k)^2/b^2=1

35. odd function
F(x)*g(x)
1-2sin^2x
(x-h)^2=4p(y-k) p>0 opens up
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin

36. product of even and odd function
1
Cotx
2(sinx)(cosx)
Odd

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

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

39. 1+tanx^2
2cos^2x-1
y=a*f(bx+c)
(y-k)^2=4p(x-h) p>0 opens rt.
Secx^2

40. axis of symmetry of parabola
Secx
(x-h)/a^2-(y-k)^2/b^2=1
F(x)*g(x)
x=-b/2a

41. x^a * y^a
(xy)^a
Odd
1/(x^a)
2a - 2b

42. Sec^2x
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin
Cscx
-c/b
1+tan^2x

43. odd function ends
Opp direction
Odd
y=a*f(bx+c)
2a - 2b

44. conics p
F(x-4)
Divisors or constant term/divisors of leading coefficient
Distance from parabola to the focus and directrix
-b/2a

45. parabola with x orientation
(y-k)^2=4p(x-h) p>0 opens rt.
False
-a/b
x=-b/2a

46. tan(pi/2-x)
Opens down
-c/b
(x-h)/a^2-(y-k)^2/b^2=1
Cotx

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

48. y intercept with general equation
Secx
-a/b
F(x)-g(x)
-c/b

49. for quad - a<0
Reflected across line y=x
F(x)+g(x)
Opens down
Sinx

50. x-coordinate of vertex of parabola
-b/2a
x values
Log(baseb)p + log(baseb)g
Cscx^2