Test your basic knowledge |

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. number of positive real zeros of polynomial p(x)
F(g(x))
Equal to number of sign changes between terms or less than that number by an even integer
1-2sin^2x
P

2. general form of trig - b is
-c/b
-a/b
If polynomial p(x) is divided by x-r then the remainder is p(r)
Normal per of f/b =period

3. ellipse distance to focus
Amplitude
x values
1
C=square root of (a^2-b^2)

4. What are the rational zeros of p(x)?
Cos^2x-Sin^2x
Ax^2+bx+c=y
Divisors or constant term/divisors of leading coefficient
Reflected across line y=x

5. f(x)*f(x)^-1
x
Amplitude
1 - square root of 3 - 2
2cos^2x-1

6. y intercept with general equation
1 - square root of 3 - 2
Inverse
-c/b
Amplitude

7. (f+g)(x)
1 -1 - square root of 2
Opens down
2cos^2x-1
F(x)+g(x)

8. translate 4 units to right
Cotx
F(x-4)
Secx^2
Each x value only has one y

9. sec(pi/2-x)
Cscx
1+tan^2x
F(-x)=f(x) x -y -x -y symmetric across y axis
(x-h)/a^2-(y-k)^2/b^2=1

10. general form of trigonometric function
y=a*f(bx+c)
P
y values
-b/2a

11. for quad - a>0
Opens up
F(x)-g(x)
Cos^2x-Sin^2x
Divisors or constant term/divisors of leading coefficient

12. is r a zero of a polynomial?
F(x)-g(x)
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
(x-h)^2=4p(y-k) p>0 opens up
(y-k)^2=4p(x-h) p>0 opens rt.

13. even function
(x-h)^2/a^2+(y-k)^2/b^2=1
F(-x)=f(x) x -y -x -y symmetric across y axis
1/(x^a)
1 -1 - square root of 2

14. translate 4 units up
x=-b/2a
F(x)+4
1
y values

15. product of even and odd function
Sin an dcos 2pi - tan is pi
If polynomial p(x) is divided by x-r then the remainder is p(r)
Odd
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin

16. 1+tanx^2
Even
Log(baseb)p + log(baseb)g
Secx^2
1-2sin^2x

17. inverse has to be a function?
If polynomial p(x) is divided by x-r then the remainder is p(r)
Opens up
False
Distance from parabola to the focus and directrix

18. phase shift - general form of trig
-c/b
Cscx
-a/b
Opens down

19. (fog)(x)
Cosx
F(g(x))
y values
Ax^2+bx+c=y

20. x^(-a)
F(x)+4
x^ab
1/(x^a)
F(x)+g(x)

21. conics p
x^ (a+b)
Distance from parabola to the focus and directrix
Amplitude
Inverse

22. range
F(x)-g(x)
x^ (a+b)
y values
(xy)^a

23. ellipse major/minor axis
Normal per of f/b =period
Odd
F(x)-g(x)
2a - 2b

24. 45-45-90 triangle
C=square root of (a^2-b^2)
Equal to number of sign changes between terms or less than that number by an even integer
x^ (a+b)
1 -1 - square root of 2

25. relation
(x-h)/a^2-(y-k)^2/b^2=1
Inverse
Set of ordered pairs
1/(x^a)

26. domain
Log(baseb)p + log(baseb)g
x values
-b/2a - c-(b^2/2a)
(y-k)^2=4p(x-h) p>0 opens rt.

27. x^a /x^b
x^ (a-b)
Secx
x^ab
Cosx

28. axis of symmetry of parabola
1
x=-b/2a
If polynomial p(x) is divided by x-r then the remainder is p(r)
-c/b

29. (fg)(x)
Sinx
F(x)*g(x)
x^ (a+b)
Opens down

30. x^0
1
y-k=+-(b/a)(x-h)
Odd
Sin an dcos 2pi - tan is pi

31. Sec^2x
Opens up
Opens down
Same direction
1+tan^2x

32. cot(90-x)
Sin an dcos 2pi - tan is pi
Cscx^2
Tanx
-b/2a

33. area of tri
F(x-4)
.5bcsina
1/(x^a)
Divisors or constant term/divisors of leading coefficient

34. ellipse x orientation
1-2sin^2x
Sin an dcos 2pi - tan is pi
x^ab
(x-h)^2/a^2+(y-k)^2/b^2=1

35. csc(90-x)
Secx
x values
F(x)*g(x)
2a - 2b

36. function
F(x)-g(x)
-c/b
Each x value only has one y
x^ab

37. sum of odd functions
x^ (a-b)
Equal to number of sign changes between terms or less than that number by an even integer
Odd
(x-h)^2/a^2+(y-k)^2/b^2=1

38. odd function ends
Secx^2
Opp direction
F(x)*g(x)
Normal per of f/b =period

39. (f/g)(x)
F(x)/g(x)
y-k=+-(b/a)(x-h)
3-2i
Opp direction

40. hyperbola with x orientation - asymptote
(x-h)^2/a^2+(y-k)^2/b^2=1
y-k=+-(b/a)(x-h)
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
Sin an dcos 2pi - tan is pi

41. Sin2x
.5bcsina
Ax^2+bx+c=y
2(sinx)(cosx)
Cscx

42. b^(log base b of p)
P
Ax^2+bx+c=y
Cotx
.5bcsina

43. odd function
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin
F(g(x))
x^ (a-b)
C=square root of a^+b^2

44. parabola with x orientation
(y-k)^2=4p(x-h) p>0 opens rt.
F(g(x))
1
y values

45. tan(pi/2-x)
Cotx
Ax+by+c=0
-b/2a
.5bcsina

46. hyperbola with x orientation - opens to sides
Sinx
x values
(x-h)/a^2-(y-k)^2/b^2=1
Cscx

47. slope of linear with general equation
Inverse
Log(baseb)p- log(baseb)g
-a/b
(x-h)^2=4p(y-k) p>0 opens up

48. x^a * x^b
x^ (a+b)
x^ab
Secx
-a/b

49. 3.) Cos2x
F(x)*g(x)
Sin an dcos 2pi - tan is pi
y-k=+-(b/a)(x-h)
1-2sin^2x

50. even funtion ends
y values
Equal to number of sign changes between terms or less than that number by an even integer
Same direction
1-2sin^2x