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Test your basic knowledge 
SAT Math 2
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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 reenforces your understanding as you take the test each time.
1. What is the triangle inequality rule?
Hypotenuse is xv2  and the sides are x.
The length of a side of a triangle is less than the sum of and greater than the difference of the other two sides.
Sin2x= 2sinxcosx cos2x = cos²x  sin²x = 2cos²x  1 = 1  sin²x
Multiply the inscribed angle by 2
2. 454590 triangle
N1
(n/2)(a1 + an)
A = (degree of the arc / 360)(area of a circle)
Hypotenuse is xv2  and the sides are x.
3. What are relatively prime numbers?
An = a1 + (n1)d
Approximate a square root  then try to divide the number by all prime numbers below the approximated root
V = (4/3)pr³
The greatest common factor is 1  but the numbers are not necessarily prime.
4. Standard form for a hyperbola that opens vertically
Hypotenuse is xv2  and the sides are x.
(yk)²/a²  (xh)²/b² = 1
Their dot product = 0
Sin²x+cos²x = 1 sec²x = 1+tan²x csc²x = 1+cot²x
5. Pythagorean Identities
(1r/1r)
yy1 = m(xx1)
N1
Sin²x+cos²x = 1 sec²x = 1+tan²x csc²x = 1+cot²x
6. Complimentary angles add up to
(n/2)(a1 + an)
A = (degree of the arc / 360)(area of a circle)
90°
Adding or subtracting 180 to ? and reversing the sign of r.
7. What is the sum of the interior angles for a polygon with n sides?
SA = pr² +prl
Arc length equals = (degree of the arc / 360)(circumference)
An = a1rn?¹
(n2)180
8. Surface area of a cone
A = ((s1 + s2)h) / 2
V = (4/3)pr³
SA = pr² +prl
(xh)² + (yk)² = r²  where (h k) is the center of the circle
9. Permutation formula (ordering)
a1 / 1r
NPr = n! / (nr)!
Square the differences between each coordinate  then square root the sum
V = (4/3)pr³
10. Standard form of the equation of a parabola.
Sin2x= 2sinxcosx cos2x = cos²x  sin²x = 2cos²x  1 = 1  sin²x
C² = a² + b²  2abcos(C)
The greatest common factor is 1  but the numbers are not necessarily prime.
y = a(xh)² + k  where the vertex is (h k)
11. What is the order of operations?
180°
Parentheses  exponents  multiplication  division  addition  subtraction
D= sv3
Sin2x= 2sinxcosx cos2x = cos²x  sin²x = 2cos²x  1 = 1  sin²x
12. If the general parabola equation is y = ax²+bx+c  what is the vertex of the parabola
(1r/1r)
x = b/2a y= c  (b²/4a)
An = a1rn?¹
V= (1/3)(pr²h)
13. How can you determine the arc degree or central angle of an inscribed angle?
Between the vertex and the minor axis on the major axis
An = a1rn?¹
Multiply the inscribed angle by 2
Square the differences between each coordinate  then square root the sum
14. Combination formula
(xh)² + (yk)² = r²  where (h k) is the center of the circle
A = (degree of the arc / 360)(area of a circle)
NCr = nPr / r! = n! / (nr)!r!
Square the differences between each coordinate  then square root the sum
15. Sum of 2 Angles Formulas
Sin(a+b) = sin(a)cos(b) + sin(b)cos(a) cos(a+b) = cos(a)cos(b)  sin(a)sin(b) tan(a+b) = [tan(a) + tan(b)] / [1tan(a)tan(b)]
(xh)²/a²  (yk)²/b² = 1
Positive: Quadrants 1 and 3 Negative: Quadrants 2 and 4
Between the vertex and the minor axis on the major axis
16. How can multiple polar coordinates be made?
No equal sides and no equal angles
Adding or subtracting 180 to ? and reversing the sign of r.
Positive: Quadrants 1 and 3 Negative: Quadrants 2 and 4
C² = a² + b²  2abcos(C)
17. Sum of n terms of an arithmetic sequence
An = a1 + (n1)d
(n/2)(a1 + an)
Multiply the inscribed angle by 2
Sin2x= 2sinxcosx cos2x = cos²x  sin²x = 2cos²x  1 = 1  sin²x
18. Two vectors are perpendicular if
Their dot product = 0
(xh)²/a²  (yk)²/b² = 1
F(x) = f(x)
Final amount = original amount x (1+growth rate)^number of changes
19. Formula for the diagonal length of a rectangular prism
(1r/1r)
D = v(l²+w²+h²)
NPr = n! / (nr)!
Adding or subtracting 180 to ? and reversing the sign of r.
20. If a function is of the nth degree  what is the maximum number of extreme bumps it can have?
Parentheses  exponents  multiplication  division  addition  subtraction
N1
An = a1rn?¹
V = (1/3)bh
21. How to find the distance between two points in 3d plane?
N1
Parentheses  exponents  multiplication  division  addition  subtraction
Approximate a square root  then try to divide the number by all prime numbers below the approximated root
Square the differences between each coordinate  then square root the sum
22. 306090 triangle
F(x) = f(x)
NPr = n! / (nr)!
A = ((s1 + s2)h) / 2
Hypotenuse is 2x  short side is x  long side is xv3
23. Standard form equation for circle
The length of a side of a triangle is less than the sum of and greater than the difference of the other two sides.
Sin(ab) = sin(a)cos(b)  sin(b)cos(a) cos(ab) = cos(a)cos(b) + sin(a)sin(b) tan(ab) = [tan(a)  tan(b)] / [1+tan(a)tan(b)]
(yk)²/a²  (xh)²/b² = 1
(xh)² + (yk)² = r²  where (h k) is the center of the circle
24. Formula for the area of a trapezoid
D = v(l²+w²+h²)
A = ((s1 + s2)h) / 2
All whole numbers except for 0
N1
25. Define an odd function.
Parentheses  exponents  multiplication  division  addition  subtraction
Multiply the inscribed angle by 2
An = a1 + (n1)d
F(x) = f(x)
26. Formula for calculation exponential growth
90°
Sin(ab) = sin(a)cos(b)  sin(b)cos(a) cos(ab) = cos(a)cos(b) + sin(a)sin(b) tan(ab) = [tan(a)  tan(b)] / [1+tan(a)tan(b)]
Final amount = original amount x (1+growth rate)^number of changes
V= (1/3)(pr²h)
27. Supplementary angles add up to
(n/2)(a1 + an)
180°
x=rcos?(theta) y=rsin? (theta)
N!
28. Where is tangent positive/negative?
Hypotenuse is 2x  short side is x  long side is xv3
Final amount = original amount x (1+growth rate)^number of changes
Sin2x= 2sinxcosx cos2x = cos²x  sin²x = 2cos²x  1 = 1  sin²x
Positive: Quadrants 1 and 3 Negative: Quadrants 2 and 4
29. How many ways can n elements be ordered?
N!
Positive: Quadrants 1 and 3 Negative: Quadrants 2 and 4
A = ((s1 + s2)h) / 2
F(x) = f(x)
30. If the point for a line is given as (x1  y1)  write the equation for the line in pointslope form.
yy1 = m(xx1)
a1 / 1r
Sin²x+cos²x = 1 sec²x = 1+tan²x csc²x = 1+cot²x
180°
31. How to determine if a number is prime
Approximate a square root  then try to divide the number by all prime numbers below the approximated root
Parentheses  exponents  multiplication  division  addition  subtraction
Their dot product = 0
NCr = nPr / r! = n! / (nr)!r!
32. What are natural numbers?
yy1 = m(xx1)
(n2)180
All whole numbers except for 0
(xh)²/a²  (yk)²/b² = 1
33. Sum of finite geometric series
SA = 4pr²
Sin(a+b) = sin(a)cos(b) + sin(b)cos(a) cos(a+b) = cos(a)cos(b)  sin(a)sin(b) tan(a+b) = [tan(a) + tan(b)] / [1tan(a)tan(b)]
(1r/1r)
Hypotenuse is 2x  short side is x  long side is xv3
34. Sum of infinite geometric series
Sin(a+b) = sin(a)cos(b) + sin(b)cos(a) cos(a+b) = cos(a)cos(b)  sin(a)sin(b) tan(a+b) = [tan(a) + tan(b)] / [1tan(a)tan(b)]
90°
yy1 = m(xx1)
a1 / 1r
35. Formula for the area of a sector
A = (degree of the arc / 360)(area of a circle)
(r  ?)  where r is the distance from the origin and ? is the angle from the positive xaxis
(yk)²/a²  (xh)²/b² = 1
SA = 4pr²
36. Formula for the volume of a cone
A = ((s1 + s2)h) / 2
(xh)²/a² + (yk)²/b² = 1  where (h k) is the center of the ellipse  the length of the horizontal axis is 2a  the length of the vertical axis is 2b  if a>b  the horizontal axis is the major axis.
Sin(ab) = sin(a)cos(b)  sin(b)cos(a) cos(ab) = cos(a)cos(b) + sin(a)sin(b) tan(ab) = [tan(a)  tan(b)] / [1+tan(a)tan(b)]
V= (1/3)(pr²h)
37. Formula for arc length
Final amount = original amount x (1+growth rate)^number of changes
(1r/1r)
Hypotenuse is 2x  short side is x  long side is xv3
Arc length equals = (degree of the arc / 360)(circumference)
38. Volume of a sphere
The greatest common factor is 1  but the numbers are not necessarily prime.
V = (4/3)pr³
Hypotenuse is 2x  short side is x  long side is xv3
90°
39. Law of Cosines
90°
Approximate a square root  then try to divide the number by all prime numbers below the approximated root
C² = a² + b²  2abcos(C)
D= sv3
40. Difference between 2 Angles formulas
An = a1rn?¹
Between the vertex and the minor axis on the major axis
90°
Sin(ab) = sin(a)cos(b)  sin(b)cos(a) cos(ab) = cos(a)cos(b) + sin(a)sin(b) tan(ab) = [tan(a)  tan(b)] / [1+tan(a)tan(b)]
41. Define an even function.
yy1 = m(xx1)
F(x) = f(x)
(n2)180
N1
42. Standard form for a hyperbola that opens to the sides
y = a(xh)² + k  where the vertex is (h k)
(xh)²/a²  (yk)²/b² = 1
NPr = n! / (nr)!
(xh)²/a² + (yk)²/b² = 1  where (h k) is the center of the ellipse  the length of the horizontal axis is 2a  the length of the vertical axis is 2b  if a>b  the horizontal axis is the major axis.
43. Formula for the diagonal length of a cube
yy1 = m(xx1)
Their dot product = 0
C² = a² + b²  2abcos(C)
D= sv3
44. Formula for arithmetic sequence
(xh)² + (yk)² = r²  where (h k) is the center of the circle
V = (1/3)bh
An = a1 + (n1)d
NPr = n! / (nr)!
45. Scalene triangle
Square the differences between each coordinate  then square root the sum
y = a(xh)² + k  where the vertex is (h k)
No equal sides and no equal angles
A = (degree of the arc / 360)(area of a circle)
46. Volume of a pyramid
(n2)180
No equal sides and no equal angles
V = (1/3)bh
An = a1rn?¹
47. Standard form equation for an ellipse
Their dot product = 0
(xh)²/a² + (yk)²/b² = 1  where (h k) is the center of the ellipse  the length of the horizontal axis is 2a  the length of the vertical axis is 2b  if a>b  the horizontal axis is the major axis.
Hypotenuse is 2x  short side is x  long side is xv3
Multiply the inscribed angle by 2
48. In an ellipse  where are the foci?
Between the vertex and the minor axis on the major axis
The length of a side of a triangle is less than the sum of and greater than the difference of the other two sides.
x = b/2a y= c  (b²/4a)
Sin²x+cos²x = 1 sec²x = 1+tan²x csc²x = 1+cot²x
49. What is the form of a polar coordinate?
(r  ?)  where r is the distance from the origin and ? is the angle from the positive xaxis
Square the differences between each coordinate  then square root the sum
No equal sides and no equal angles
(1r/1r)
50. What are the conversion equations for polar coordinates to normal coordinates?
y = a(xh)² + k  where the vertex is (h k)
a1 / 1r
Sin²x+cos²x = 1 sec²x = 1+tan²x csc²x = 1+cot²x
x=rcos?(theta) y=rsin? (theta)