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SAT Math Level 2 Subject Test

Subjects : sat, math

Instructions:

Answer 50 questions in 15 minutes.
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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 - asymptote
y-k=+-(b/a)(x-h)
Set of ordered pairs
(y-k)^2=4p(x-h) p>0 opens rt.
Same direction

2. f^-1
-b/2a
Ax^2+bx+c=y
Inverse
2(sinx)(cosx)

3. for quad - a<0
False
1/(x^a)
Opens down
Log(baseb)p- log(baseb)g

4. sum of odd functions
Odd
x^ab
Secx
Log(baseb)p + log(baseb)g

5. log(baseb)b
1
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
2cos^2x-1
x

6. number of positive real zeros of polynomial p(x)
Equal to number of sign changes between terms or less than that number by an even integer
C=square root of (a^2-b^2)
Opens up
C=square root of a^+b^2

7. ellipse major/minor axis
Odd
x
2a - 2b
y-k=+-(b/a)(x-h)

8. area of tri
.5bcsina
(y-k)^2=4p(x-h) p>0 opens rt.
x^ (a+b)
Log(baseb)p- log(baseb)g

9. x^a * x^b
2a - 2b
Inverse
x^ (a+b)
-a/b

10. x^0
Ax^2+bx+c=y
Opp direction
F(x)+4
1

11. is r a zero of a polynomial?
2a - 2b
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
Even
Odd

12. y intercept with general equation
F(x)/g(x)
-c/b
2cos^2x-1
x values

13. tan(pi/2-x)
Even
-c/b
Cotx
False

14. for quad - a>0
Secx^2
y=a*f(bx+c)
Opens up
-b/2a

15. even funtion ends
F(x)*g(x)
Opens up
Same direction
Tanx

16. (fg)(x)
F(x)*g(x)
(x-h)/a^2-(y-k)^2/b^2=1
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin
x^ (a-b)

17. odd function
1-2sin^2x
1
1+tan^2x
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin

18. log(baseb)(p/g)
Ax^2+bx+c=y
x^ (a-b)
Odd
Log(baseb)p- log(baseb)g

19. x^(-a)
1/(x^a)
Reflected across line y=x
-c/b
Ax^2+bx+c=y

20. csc(90-x)
1
1
Secx
Amplitude

21. even function
-a/b
Ax+by+c=0
Set of ordered pairs
F(-x)=f(x) x -y -x -y symmetric across y axis

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

23. axis of symmetry of parabola
C=square root of (a^2-b^2)
y-k=+-(b/a)(x-h)
Cotx
x=-b/2a

24. hyperbola distance to focus
F(x)+4
C=square root of a^+b^2
2cos^2x-1
Opp direction

25. product of even and odd function
If polynomial p(x) is divided by x-r then the remainder is p(r)
1-2sin^2x
Odd
Ax+by+c=0

26. sinx^2+cosx^2
-a/b
Set of ordered pairs
1
3-2i

27. general form of quadratic
Equal to number of sign changes between terms or less than that number by an even integer
F(x)-g(x)
(x-h)^2/a^2+(y-k)^2/b^2=1
Ax^2+bx+c=y

28. general equation of linear functions
F(g(x))
.5bcsina
Ax+by+c=0
Even

29. sum of even functions
Even
F(x)-g(x)
1
-c/b

30. conics p
Opens down
Distance from parabola to the focus and directrix
Cscx
F(x)-g(x)

31. Sec^2x
1+tan^2x
F(x)-g(x)
(xy)^a
Set of ordered pairs

32. log(baseb)(p*g)
Each x value only has one y
Log(baseb)p + log(baseb)g
2(sinx)(cosx)
(x-h)^2/a^2+(y-k)^2/b^2=1

33. vertex of parabola
Odd
2a - 2b
-b/2a - c-(b^2/2a)
x=-b/2a

34. inverse has to be a function?
False
Normal per of f/b =period
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
Distance from parabola to the focus and directrix

35. What are the rational zeros of p(x)?
Divisors or constant term/divisors of leading coefficient
1/(x^a)
-c/b
Opens down

36. (f-g)(x)
F(x)-g(x)
-c/b
If polynomial p(x) is divided by x-r then the remainder is p(r)
F(x)/g(x)

37. What is another zero of an equation with zero 3+2i
Sin an dcos 2pi - tan is pi
Amplitude
Cos^2x-Sin^2x
3-2i

38. f(x)*f(x)^-1
(xy)^a
Even
F(x)-g(x)
x

39. sec(pi/2-x)
False
Cscx
F(-x)=f(x) x -y -x -y symmetric across y axis
Inverse

40. x^a * y^a
(xy)^a
Cotx
Secx
-a/b

41. translate 4 units to right
F(x)+g(x)
-a/b
-b/2a - c-(b^2/2a)
F(x-4)

42. hyperbola with x orientation - opens to sides
Opens down
Sin an dcos 2pi - tan is pi
(x-h)^2/a^2+(y-k)^2/b^2=1
(x-h)/a^2-(y-k)^2/b^2=1

43. 3.) Cos2x
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
Odd
-b/2a
1-2sin^2x

44. sin(pi/2-x)
Cosx
F(x)*g(x)
Tanx
Cscx

45. (fog)(x)
F(g(x))
P
1 -1 - square root of 2
-b/2a

46. 1.) Cos2x
Cos^2x-Sin^2x
1+tan^2x
F(x)/g(x)
y=a*f(bx+c)

47. parabola with x orientation
Distance from parabola to the focus and directrix
Ax+by+c=0
(x-h)^2/a^2+(y-k)^2/b^2=1
(y-k)^2=4p(x-h) p>0 opens rt.

48. parabola with y orientation
F(x)+4
Each x value only has one y
(xy)^a
(x-h)^2=4p(y-k) p>0 opens up

49. (f/g)(x)
Log(baseb)p + log(baseb)g
Cos^2x-Sin^2x
Normal per of f/b =period
F(x)/g(x)

50. 45-45-90 triangle
Ax^2+bx+c=y
Even
-b/2a - c-(b^2/2a)
1 -1 - square root of 2

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SAT Math Level 2 Subject Test

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