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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. csc(90-x)
y-k=+-(b/a)(x-h)
Secx
Each x value only has one y
2a - 2b

2. 1+tanx^2
Secx^2
Cscx
(x-h)/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)

3. translate 4 units to right
Normal per of f/b =period
1 - square root of 3 - 2
F(x-4)
1

4. phase shift - general form of trig
x
C=square root of (a^2-b^2)
Sinx
-c/b

5. sum of even functions
Cscx^2
Odd
(x-h)^2/a^2+(y-k)^2/b^2=1
Even

6. parabola with y orientation
Cscx^2
Inverse
F(x)/g(x)
(x-h)^2=4p(y-k) p>0 opens up

7. 3.) Cos2x
(x-h)/a^2-(y-k)^2/b^2=1
1
1-2sin^2x
x^ (a-b)

8. hyperbola with x orientation - asymptote
F(x-4)
Inverse
y-k=+-(b/a)(x-h)
-b/2a - c-(b^2/2a)

9. x^0
Even
1
Cosx
Log(baseb)p + log(baseb)g

10. function
Each x value only has one y
Cos^2x-Sin^2x
Amplitude
(xy)^a

11. x^a /x^b
Divisors or constant term/divisors of leading coefficient
F(x-4)
Opp direction
x^ (a-b)

12. log(baseb)b
1
-c/b
x^ab
1 -1 - square root of 2

13. for quad - a<0
(x-h)^2=4p(y-k) p>0 opens up
-a/b
Opens down
Sin an dcos 2pi - tan is pi

14. inverse has to be a function?
(x-h)/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)
False
F(x-4)

15. odd function
C=square root of (a^2-b^2)
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin
Ax+by+c=0
Amplitude

16. vertex of parabola
F(x-4)
-b/2a - c-(b^2/2a)
2a - 2b
(xy)^a

17. 45-45-90 triangle
1 -1 - square root of 2
y-k=+-(b/a)(x-h)
Normal per of f/b =period
Even

18. 30-60-90 triangle
-a/b
1+tan^2x
1 - square root of 3 - 2
x^ (a+b)

19. ellipse major/minor axis
2a - 2b
.5bcsina
If polynomial p(x) is divided by x-r then the remainder is p(r)
Secx

20. even function
F(-x)=f(x) x -y -x -y symmetric across y axis
Amplitude
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
-b/2a

21. hyperbola with x orientation - opens to sides
(x-h)/a^2-(y-k)^2/b^2=1
If polynomial p(x) is divided by x-r then the remainder is p(r)
F(g(x))
Cscx

22. y intercept with general equation
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin
-c/b
Opens up
-b/2a - c-(b^2/2a)

23. (f/g)(x)
Ax+by+c=0
F(x)/g(x)
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin
y=a*f(bx+c)

24. periods of sin - cos tan
Ax^2+bx+c=y
x=-b/2a
Sin an dcos 2pi - tan is pi
Tanx

25. general form of quadratic
Ax^2+bx+c=y
(y-k)^2=4p(x-h) p>0 opens rt.
1-2sin^2x
-b/2a

26. What are the rational zeros of p(x)?
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin
Sin an dcos 2pi - tan is pi
Ax+by+c=0
Divisors or constant term/divisors of leading coefficient

27. Sin2x
1
Normal per of f/b =period
2(sinx)(cosx)
Secx^2

28. tan(pi/2-x)
F(x)+g(x)
Cotx
If polynomial p(x) is divided by x-r then the remainder is p(r)
Cscx

29. sinx^2+cosx^2
2cos^2x-1
1
-c/b
F(x)+g(x)

30. (x^a)^b
Even
P
(x-h)^2=4p(y-k) p>0 opens up
x^ab

31. general form of trigonometric function
y=a*f(bx+c)
1+tan^2x
Equal to number of sign changes between terms or less than that number by an even integer
x^ (a+b)

32. cos(90-x)
Cotx
F(x)-g(x)
Sinx
Opens down

33. product of even and odd function
Odd
F(x)+g(x)
F(x)-g(x)
Inverse

34. area of tri
.5bcsina
1
2a - 2b
Tanx

35. 1.) Cos2x
Opens down
Odd
Cos^2x-Sin^2x
y=a*f(bx+c)

36. sec(pi/2-x)
Cscx
(x-h)/a^2-(y-k)^2/b^2=1
x^ (a+b)
1+tan^2x

37. x^a * x^b
1+tan^2x
x^ (a+b)
F(x)+4
-a/b

38. log(baseb)(p*g)
-a/b
x^ (a+b)
1
Log(baseb)p + log(baseb)g

39. (fog)(x)
-b/2a
-c/b
F(g(x))
F(-x)=f(x) x -y -x -y symmetric across y axis

40. What is the remainer of P(x) divided by (x-r)?
(x-h)^2=4p(y-k) p>0 opens up
-b/2a - c-(b^2/2a)
If polynomial p(x) is divided by x-r then the remainder is p(r)
1 -1 - square root of 2

41. f^-1
Inverse
3-2i
Cscx^2
F(x-4)

42. log(baseb)(p/g)
F(x)/g(x)
x values
2a - 2b
Log(baseb)p- log(baseb)g

43. parabola with x orientation
Same direction
Cos^2x-Sin^2x
F(x)+4
(y-k)^2=4p(x-h) p>0 opens rt.

44. odd function ends
Opp direction
Ax^2+bx+c=y
Sin an dcos 2pi - tan is pi
Each x value only has one y

45. x^a * y^a
Cotx
y-k=+-(b/a)(x-h)
(xy)^a
2cos^2x-1

46. (fg)(x)
Odd
F(x)*g(x)
F(x)/g(x)
(x-h)^2/a^2+(y-k)^2/b^2=1

47. for quad - a>0
Opens up
1 - square root of 3 - 2
Distance from parabola to the focus and directrix
1+tan^2x

48. sin(pi/2-x)
x^ab
(x-h)^2=4p(y-k) p>0 opens up
Cosx
1-2sin^2x

49. ellipse x orientation
-b/2a - c-(b^2/2a)
Sin an dcos 2pi - tan is pi
(y-k)^2=4p(x-h) p>0 opens rt.
(x-h)^2/a^2+(y-k)^2/b^2=1

50. cot(90-x)
y values
Opp direction
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin
Tanx