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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 - opens to sides
(xy)^a
1
(x-h)/a^2-(y-k)^2/b^2=1
y-k=+-(b/a)(x-h)

2. x^a /x^b
x^ (a-b)
1 -1 - square root of 2
1/(x^a)
F(g(x))

3. What are the rational zeros of p(x)?
Ax+by+c=0
(x-h)/a^2-(y-k)^2/b^2=1
Divisors or constant term/divisors of leading coefficient
Cos^2x-Sin^2x

4. conics p
y values
Cotx
Distance from parabola to the focus and directrix
Cosx

5. x^a * x^b
F(g(x))
1
x^ (a+b)
Cscx

6. log(baseb)b
1
Log(baseb)p- log(baseb)g
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
y values

7. translate 4 units to right
C=square root of a^+b^2
F(x-4)
x=-b/2a
Log(baseb)p- log(baseb)g

8. graph of inverse
Reflected across line y=x
F(-x)=f(x) x -y -x -y symmetric across y axis
Divisors or constant term/divisors of leading coefficient
Log(baseb)p- log(baseb)g

9. sec(pi/2-x)
y-k=+-(b/a)(x-h)
Cscx
Inverse
2cos^2x-1

10. for quad - a>0
1
Opens up
Ax+by+c=0
Distance from parabola to the focus and directrix

11. 1.) Cos2x
F(x)*g(x)
If polynomial p(x) is divided by x-r then the remainder is p(r)
Cos^2x-Sin^2x
y-k=+-(b/a)(x-h)

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

13. parabola with x orientation
Cscx
(y-k)^2=4p(x-h) p>0 opens rt.
Log(baseb)p- log(baseb)g
If polynomial p(x) is divided by x-r then the remainder is p(r)

14. slope of linear with general equation
C=square root of (a^2-b^2)
-a/b
F(x)-g(x)
Cotx

15. ellipse x orientation
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
(x-h)^2/a^2+(y-k)^2/b^2=1
Reflected across line y=x
(x-h)/a^2-(y-k)^2/b^2=1

16. (f+g)(x)
Sinx
-b/2a
1 -1 - square root of 2
F(x)+g(x)

17. tan(pi/2-x)
Cotx
Each x value only has one y
(x-h)^2/a^2+(y-k)^2/b^2=1
Odd

18. vertex of parabola
-b/2a - c-(b^2/2a)
1 - square root of 3 - 2
Sin an dcos 2pi - tan is pi
False

19. cos(90-x)
x
F(-x)=f(x) x -y -x -y symmetric across y axis
-a/b
Sinx

20. x-coordinate of vertex of parabola
-b/2a
P
-c/b
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin

21. general form of trig - a is
F(x-4)
Log(baseb)p + log(baseb)g
Divisors or constant term/divisors of leading coefficient
Amplitude

22. What is the remainer of P(x) divided by (x-r)?
False
F(x)*g(x)
If polynomial p(x) is divided by x-r then the remainder is p(r)
P

23. b^(log base b of p)
.5bcsina
1 - square root of 3 - 2
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
P

24. sum of even functions
Tanx
Ax^2+bx+c=y
1
Even

25. csc(90-x)
1
F(x)-g(x)
1/(x^a)
Secx

26. range
y values
Each x value only has one y
-c/b
Opens up

27. Sec^2x
1+tan^2x
F(-x)=f(x) x -y -x -y symmetric across y axis
(x-h)^2/a^2+(y-k)^2/b^2=1
x^ab

28. Sin2x
.5bcsina
F(-x)=f(x) x -y -x -y symmetric across y axis
Normal per of f/b =period
2(sinx)(cosx)

29. product of even and odd function
Odd
F(x)/g(x)
Inverse
Each x value only has one y

30. domain
Cscx
-b/2a - c-(b^2/2a)
x=-b/2a
x values

31. axis of symmetry of parabola
x=-b/2a
F(-x)=f(x) x -y -x -y symmetric across y axis
Even
Cscx

32. phase shift - general form of trig
1/(x^a)
x=-b/2a
-c/b
y-k=+-(b/a)(x-h)

33. hyperbola distance to focus
C=square root of a^+b^2
x^ (a-b)
Ax^2+bx+c=y
Ax+by+c=0

34. sinx^2+cosx^2
-b/2a
1
F(x)-g(x)
Opens down

35. is r a zero of a polynomial?
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
Cotx
Opens up
1 -1 - square root of 2

36. general form of trig - b is
Cscx^2
Normal per of f/b =period
P
y-k=+-(b/a)(x-h)

37. sum of odd functions
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin
1
Odd
Cosx

38. general equation of linear functions
Cotx
Ax+by+c=0
F(-x)=f(x) x -y -x -y symmetric across y axis
1/(x^a)

39. (f/g)(x)
y values
F(x)/g(x)
-c/b
-b/2a

40. What is another zero of an equation with zero 3+2i
1
3-2i
(y-k)^2=4p(x-h) p>0 opens rt.
False

41. x^(-a)
Odd
Cos^2x-Sin^2x
Secx^2
1/(x^a)

42. y intercept with general equation
2cos^2x-1
-c/b
3-2i
False

43. x^0
(y-k)^2=4p(x-h) p>0 opens rt.
1
Cscx
Cotx

44. 45-45-90 triangle
Log(baseb)p- log(baseb)g
Sin an dcos 2pi - tan is pi
F(x-4)
1 -1 - square root of 2

45. inverse has to be a function?
False
y values
Cscx
1 - square root of 3 - 2

46. function
C=square root of a^+b^2
(x-h)^2/a^2+(y-k)^2/b^2=1
-a/b
Each x value only has one y

47. odd function ends
x=-b/2a
Cscx
Cos^2x-Sin^2x
Opp direction

48. periods of sin - cos tan
Sin an dcos 2pi - tan is pi
1
Odd
3-2i

49. 30-60-90 triangle
1 - square root of 3 - 2
Cosx
2a - 2b
x values

50. 1+tanx^2
Ax^2+bx+c=y
(y-k)^2=4p(x-h) p>0 opens rt.
1
Secx^2

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SAT Math Level 2 Subject Test

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