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. 45-45-90 triangle
1 -1 - square root of 2
Opens down
1/(x^a)
y-k=+-(b/a)(x-h)

2. translate 4 units to right
F(x-4)
(xy)^a
y values
F(g(x))

3. tan(pi/2-x)
Cotx
Set of ordered pairs
Equal to number of sign changes between terms or less than that number by an even integer
2cos^2x-1

4. f(x)*f(x)^-1
Cscx^2
x
Opp direction
1 -1 - square root of 2

5. parabola with y orientation
F(x)+g(x)
(x-h)^2=4p(y-k) p>0 opens up
If polynomial p(x) is divided by x-r then the remainder is p(r)
x^ (a-b)

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
Amplitude
Secx^2
F(g(x))

7. log(baseb)(p/g)
1/(x^a)
Log(baseb)p- log(baseb)g
Even
F(x)-g(x)

8. general form of trig - a is
Reflected across line y=x
Cscx^2
Inverse
Amplitude

9. y intercept with general equation
y values
Opp direction
-c/b
1+tan^2x

10. b^(log base b of p)
(x-h)/a^2-(y-k)^2/b^2=1
Cosx
P
Sin an dcos 2pi - tan is pi

11. for quad - a>0
1 - square root of 3 - 2
Ax^2+bx+c=y
Opens up
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin

12. What are the rational zeros of p(x)?
Each x value only has one y
Opp direction
F(x)/g(x)
Divisors or constant term/divisors of leading coefficient

13. x^a * x^b
-c/b
Equal to number of sign changes between terms or less than that number by an even integer
x^ (a+b)
If polynomial p(x) is divided by x-r then the remainder is p(r)

14. odd function ends
Opp direction
Reflected across line y=x
y=a*f(bx+c)
Each x value only has one y

15. x^a /x^b
Sinx
(x-h)/a^2-(y-k)^2/b^2=1
Odd
x^ (a-b)

16. axis of symmetry of parabola
y values
-a/b
x=-b/2a
Tanx

17. 1+cotx^2
x^ (a+b)
Cscx^2
Cosx
.5bcsina

18. 1.) Cos2x
y values
Cos^2x-Sin^2x
-b/2a - c-(b^2/2a)
If polynomial p(x) is divided by x-r then the remainder is p(r)

19. general equation of linear functions
Ax+by+c=0
Reflected across line y=x
F(x-4)
Cscx

20. general form of trigonometric function
x^ (a-b)
C=square root of a^+b^2
y=a*f(bx+c)
F(x)+4

21. even funtion ends
Distance from parabola to the focus and directrix
Same direction
x^ab
Cscx^2

22. general form of quadratic
(y-k)^2=4p(x-h) p>0 opens rt.
2a - 2b
C=square root of a^+b^2
Ax^2+bx+c=y

23. sum of odd functions
(xy)^a
Normal per of f/b =period
F(x)-g(x)
Odd

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

25. csc(90-x)
Ax+by+c=0
Secx
Opens up
2cos^2x-1

26. Sin2x
Divisors or constant term/divisors of leading coefficient
2(sinx)(cosx)
-c/b
2cos^2x-1

27. vertex of parabola
-b/2a - c-(b^2/2a)
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin
1
-a/b

28. hyperbola with x orientation - asymptote
1/(x^a)
y-k=+-(b/a)(x-h)
1 - square root of 3 - 2
F(x)+4

29. sum of even functions
-b/2a
Sin an dcos 2pi - tan is pi
Even
y=a*f(bx+c)

30. ellipse distance to focus
C=square root of (a^2-b^2)
-c/b
Sinx
C=square root of a^+b^2

31. cos(90-x)
Ax^2+bx+c=y
1+tan^2x
1
Sinx

32. (fg)(x)
Distance from parabola to the focus and directrix
F(x)*g(x)
Tanx
-c/b

33. product of even and odd function
Set of ordered pairs
-c/b
Odd
1+tan^2x

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

35. ellipse major/minor axis
2a - 2b
Cotx
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
1 - square root of 3 - 2

36. log(baseb)b
P
Distance from parabola to the focus and directrix
Sinx
1

37. hyperbola with x orientation - opens to sides
Each x value only has one y
Sin an dcos 2pi - tan is pi
.5bcsina
(x-h)/a^2-(y-k)^2/b^2=1

38. odd function
-a/b
1 -1 - square root of 2
Cscx^2
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin

39. x-coordinate of vertex of parabola
-b/2a - c-(b^2/2a)
Inverse
-b/2a
Opens up

40. x^(-a)
1/(x^a)
Even
False
Cosx

41. f^-1
Inverse
C=square root of (a^2-b^2)
2(sinx)(cosx)
Log(baseb)p + log(baseb)g

42. conics p
2cos^2x-1
Ax+by+c=0
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

43. inverse has to be a function?
-c/b
False
Equal to number of sign changes between terms or less than that number by an even integer
F(x)*g(x)

44. (fog)(x)
Tanx
Set of ordered pairs
Reflected across line y=x
F(g(x))

45. x^0
Odd
1
Log(baseb)p- log(baseb)g
Even

46. Sec^2x
1 -1 - square root of 2
F(x)-g(x)
1+tan^2x
(x-h)^2/a^2+(y-k)^2/b^2=1

47. ellipse x orientation
(x-h)^2/a^2+(y-k)^2/b^2=1
1
-c/b
-a/b

48. domain
Tanx
x values
Reflected across line y=x
Equal to number of sign changes between terms or less than that number by an even integer

49. 1+tanx^2
Secx^2
F(x)-g(x)
-a/b
Opens down

50. sinx^2+cosx^2
Secx^2
Each x value only has one y
1
Odd