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Test your basic knowledge |
SAT Math Level 2 Subject Test
Start Test
Study First
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)
x values
F(g(x))
Sinx
Equal to number of sign changes between terms or less than that number by an even integer
2. hyperbola distance to focus
x^ (a+b)
1
Cos^2x-Sin^2x
C=square root of a^+b^2
3. sin(pi/2-x)
Cosx
(x-h)^2=4p(y-k) p>0 opens up
F(x)*g(x)
F(-x)=f(x) x -y -x -y symmetric across y axis
4. cos(90-x)
Sinx
y=a*f(bx+c)
Ax^2+bx+c=y
y-k=+-(b/a)(x-h)
5. csc(90-x)
Secx
Distance from parabola to the focus and directrix
(xy)^a
Log(baseb)p + log(baseb)g
6. range
F(x)*g(x)
Divisors or constant term/divisors of leading coefficient
y values
(xy)^a
7. f^-1
Inverse
1+tan^2x
F(x)*g(x)
x values
8. parabola with x orientation
F(g(x))
-b/2a - c-(b^2/2a)
(y-k)^2=4p(x-h) p>0 opens rt.
1
9. inverse has to be a function?
False
x=-b/2a
Divisors or constant term/divisors of leading coefficient
Odd
10. (x^a)^b
Ax^2+bx+c=y
x^ab
Opens down
Opp direction
11. periods of sin - cos tan
Sin an dcos 2pi - tan is pi
Log(baseb)p + log(baseb)g
Each x value only has one y
1-2sin^2x
12. y intercept with general equation
-a/b
1-2sin^2x
x
-c/b
13. translate 4 units to right
y=a*f(bx+c)
F(x-4)
-b/2a
Inverse
14. x^a * y^a
(xy)^a
Sinx
Odd
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin
15. ellipse distance to focus
(xy)^a
Log(baseb)p + log(baseb)g
C=square root of (a^2-b^2)
Ax^2+bx+c=y
16. conics p
-b/2a
Distance from parabola to the focus and directrix
-b/2a - c-(b^2/2a)
Tanx
17. (f/g)(x)
Cosx
2cos^2x-1
F(x-4)
F(x)/g(x)
18. for quad - a<0
Opens down
3-2i
Cos^2x-Sin^2x
Secx^2
19. domain
x^ (a-b)
x values
1+tan^2x
Distance from parabola to the focus and directrix
20. odd function
Normal per of f/b =period
Cosx
F(-x)=-f(x) - x -y -x --y - symmetric with respect to the origin
F(x)+g(x)
21. general form of trig - a is
Amplitude
Equal to number of sign changes between terms or less than that number by an even integer
F(-x)=f(x) x -y -x -y symmetric across y axis
Cosx
22. even function
Log(baseb)p + log(baseb)g
Tanx
2cos^2x-1
F(-x)=f(x) x -y -x -y symmetric across y axis
23. What is the remainer of P(x) divided by (x-r)?
3-2i
x values
If polynomial p(x) is divided by x-r then the remainder is p(r)
Opp direction
24. product of even and odd function
Odd
Log(baseb)p- log(baseb)g
x^ (a+b)
Sin an dcos 2pi - tan is pi
25. cot(90-x)
Tanx
F(-x)=f(x) x -y -x -y symmetric across y axis
R is a zero of the polynomial p(x) if and only if x-r is a divisior of p(x)
-b/2a - c-(b^2/2a)
26. sum of odd functions
F(-x)=f(x) x -y -x -y symmetric across y axis
Odd
Cotx
.5bcsina
27. ellipse x orientation
1
Reflected across line y=x
Sin an dcos 2pi - tan is pi
(x-h)^2/a^2+(y-k)^2/b^2=1
28. general form of trig - b is
Normal per of f/b =period
x^ (a+b)
Inverse
If polynomial p(x) is divided by x-r then the remainder is p(r)
29. sec(pi/2-x)
Same direction
Ax^2+bx+c=y
Cscx
Normal per of f/b =period
30. x^0
Cscx^2
2a - 2b
1
F(x-4)
31. (f+g)(x)
F(x)+g(x)
C=square root of a^+b^2
1
F(g(x))
32. graph of inverse
1
F(x)/g(x)
Amplitude
Reflected across line y=x
33. (fog)(x)
F(g(x))
F(x)+g(x)
3-2i
-c/b
34. hyperbola with x orientation - asymptote
y-k=+-(b/a)(x-h)
Each x value only has one y
Normal per of f/b =period
Even
35. log(baseb)(p/g)
Same direction
F(x-4)
x^ab
Log(baseb)p- log(baseb)g
36. even funtion ends
2a - 2b
Inverse
3-2i
Same direction
37. sum of even functions
Equal to number of sign changes between terms or less than that number by an even integer
Even
y-k=+-(b/a)(x-h)
F(x)/g(x)
38. area of tri
Log(baseb)p + log(baseb)g
F(g(x))
Reflected across line y=x
.5bcsina
39. general form of quadratic
Normal per of f/b =period
Reflected across line y=x
1-2sin^2x
Ax^2+bx+c=y
40. 1+cotx^2
2cos^2x-1
F(x)-g(x)
(x-h)^2=4p(y-k) p>0 opens up
Cscx^2
41. tan(pi/2-x)
Divisors or constant term/divisors of leading coefficient
Secx^2
1/(x^a)
Cotx
42. x^a * x^b
x^ (a+b)
-b/2a - c-(b^2/2a)
Equal to number of sign changes between terms or less than that number by an even integer
Even
43. general equation of linear functions
Log(baseb)p + log(baseb)g
x^ (a+b)
Ax+by+c=0
x=-b/2a
44. Sin2x
2(sinx)(cosx)
-b/2a - c-(b^2/2a)
Cotx
1 - square root of 3 - 2
45. for quad - a>0
2(sinx)(cosx)
Opens up
C=square root of (a^2-b^2)
1/(x^a)
46. log(baseb)b
1-2sin^2x
Equal to number of sign changes between terms or less than that number by an even integer
Sin an dcos 2pi - tan is pi
1
47. 45-45-90 triangle
1
Sinx
Sin an dcos 2pi - tan is pi
1 -1 - square root of 2
48. f(x)*f(x)^-1
x
1
(x-h)^2=4p(y-k) p>0 opens up
Cscx^2
49. x^a /x^b
x^ (a-b)
1 -1 - square root of 2
F(x)/g(x)
Cotx
50. slope of linear with general equation
-a/b
Ax^2+bx+c=y
Each x value only has one y
Opens down