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SAT and Act Math Formulas

Subjects : sat, act, math

Instructions:

Answer 50 questions in 15 minutes.
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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. Area of Circles
y=mx+b
A=?r2
y-y1=m(x-x1)
y=k/x

2. Zero
(a-b)(a+b)
y=mx+b
Linear functions
When there is a horizontal line that has different x points - but the same y point

3. cosine ratio
Adjacent hypotenuse
Ab+ac
y=mx+b
Is the set of points which are all the same distance (its radius) from a certian point( the center).

4. Quadratic Formula
Graphs
2 pi r
-b[vb-4ac]/2a
Part of a circle connecting two points on the circle.

5. Dividing by a negative number in an inequality
When the system of equations have the same slope but different y-intercepts
A shift of a graph horizontally - vertically - or both - which results in a graph of the same shape and size - but in a different position.
You must flip the sign
The part of a circle that looks like a piece of pie. A sector is bounded by 2 radii and an arc of the circle.

6. Central Angle
An ange whose vertex is the center of the circle
When the system of equations have the same slope but different y-intercepts
2 pi r
y=k/x

7. Graphing = or = on a coordinate plane
(a-b)(a+ab+b)
(b1 +b2) x h [or (b1 +b2) x h2]
4s (where s = length of a side)
Solid line

8. Direct Variation
x/360 times (2 pi r) - where x is the degrees in the angle
y=kx
Ac+ad+bc+bd
You must flip the sign

9. (a+b)(c+d)
Ac+ad+bc+bd
2 pi r
Ax + By=C - where A - B - and C are not decimals or fractions - where A and B are not both zero - and where A is not a negative
Linear functions

10. No solution
Opposite adjacent
x/360 times (2 pi r) - where x is the degrees in the angle
When the system of equations have the same slope but different y-intercepts
-b[vb-4ac]/2a

11. Area of a circle
?r
When the system of equations have the same slope and y-intercept
y=x or f(x)=x
(a-b)(a+b)

12. Graphing = or > on a coordinate plane
Always
y=mx+b
Shade upwards or to the right
When there is a vertical line that has different y points - but the same x point

13. One solution
y=k/x
A shift of a graph horizontally - vertically - or both - which results in a graph of the same shape and size - but in a different position.
When the system of equations have different slopes
Graphing the system of equations and finding the point at which they intersect

14. a-b
?d OR 2?r
(a-b)(a+b)
Graphing the system of equations and finding the point at which they intersect
Ax + By=C - where A - B - and C are not decimals or fractions - where A and B are not both zero - and where A is not a negative

15. a(b+c)
(a+b)
y=mx+b
Always
Ab+ac

16. Area of a trapezoid
Opposite adjacent
(b1 +b2) x h [or (b1 +b2) x h2]
(base x height) [or (base x height)2]
The distance from one point on the circle to another point on the circle.

17. Point-Slope form
?r
y-y1=m(x-x1)
4s (where s = length of a side)
(b1 +b2) x h [or (b1 +b2) x h2]

18. a-2ab+b
(a-b)
Any ordered pair in a system that makes all the equations true
(a-b)(a+b)
Equation

19. Perimeter of a square
C =?d
2 pi r
4s (where s = length of a side)
y=k/x

20. Slope-Intercept
4s (where s = length of a side)
(base x height) [or (base x height)2]
y=mx+b
y-y1=m(x-x1)

21. a+b
y=mx+b
When there is a horizontal line that has different x points - but the same y point
(a+b)(a-ab+b)
When the system of equations have the same slope but different y-intercepts

22. Linear parent function
(base x height) [or (base x height)2]
y=x or f(x)=x
(a+b)
Equation

23. Slope
(y2-y1)/(x2-x1)
y=mx+b
Any ordered pair in a system that makes all the equations true
Graphing the system of equations and finding the point at which they intersect

24. Absolute value equation
Opposite adjacent
Is the set of points which are all the same distance (its radius) from a certian point( the center).
A V-shaped graph that points upward of downward
Part of a circle connecting two points on the circle.

25. Undefined
y=x or f(x)=x
(b1 +b2) x h [or (b1 +b2) x h2]
A segment connecting the center of a circle to any point on the circle
When there is a vertical line that has different y points - but the same x point

26. Circle
Is the set of points which are all the same distance (its radius) from a certian point( the center).
y=x or f(x)=x
(a+b)(a-ab+b)
A shift of a graph horizontally - vertically - or both - which results in a graph of the same shape and size - but in a different position.

27. All direct variations are ____________________
?r
Any ordered pair in a system that makes all the equations true
The distance from one point on the circle to another point on the circle.
Linear functions

28. Arc
Part of a circle connecting two points on the circle.
(a+b)(a-ab+b)
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Graphing the system of equations and finding the point at which they intersect

29. a-b
(a-b)(a+ab+b)
Is the set of points which are all the same distance (its radius) from a certian point( the center).
The distance from one point on the circle to another point on the circle.
Linear functions

30. A linear function is a function that _____________ a line
The part of a circle that looks like a piece of pie. A sector is bounded by 2 radii and an arc of the circle.
Shade downwards or to the left
Graphs
Is the set of points which are all the same distance (its radius) from a certian point( the center).

31. Area of a sector
x/360 times (?r) - where x is the degrees in the angle
Solving systems by adding or subtracting equations to eliminate a variable
(a+b)(a-ab+b)
?r

32. Translation
?d OR 2?r
Solid line
y=mx+b
A shift of a graph horizontally - vertically - or both - which results in a graph of the same shape and size - but in a different position.

33. Circumference Formula
4s (where s = length of a side)
(a-b)(a+ab+b)
C =?d
(a-b)

34. Graphing < or > on a coordinate plane
Dotted line
(a-b)(a+ab+b)
Solid line
A=bh

35. Perimeter (circumference) of a circle
Ax + By=C - where A - B - and C are not decimals or fractions - where A and B are not both zero - and where A is not a negative
2 pi r
An ange whose vertex is the center of the circle
(a-b)(a+b)

36. Slope intercept form
The distance from one point on the circle to another point on the circle.
y=mx+b
An ange whose vertex is the center of the circle
y-y1=m(x-x1)

37. Graphing method
The part of a circle that looks like a piece of pie. A sector is bounded by 2 radii and an arc of the circle.
(y2-y1)/(x2-x1)
Linear functions
Graphing the system of equations and finding the point at which they intersect

38. sine ratio
When the system of equations have the same slope but different y-intercepts
S - where s = length of a side
Opposite hypotenuse
The distance across the circle through the center of the circle.The diameter is twice the radius.

39. a+2ab+b
A=?r2
(a+b)
y=mx+b
-b[vb-4ac]/2a

40. Perimeter of a rectangle
(a-b)(a+b)
2Length + 2width [or (length + width) x 2]
y=mx+b
Is the set of points which are all the same distance (its radius) from a certian point( the center).

41. Chord
?d OR 2?r
(base x height) [or (base x height)2]
The distance from one point on the circle to another point on the circle.
Ab+ac

42. Standard form
y=mx+b
You must flip the sign
Ax + By=C - where A - B - and C are not decimals or fractions - where A and B are not both zero - and where A is not a negative
Linear functions

43. Infinitely many solutions
(base x height) [or (base x height)2]
Opposite hypotenuse
Part of a circle connecting two points on the circle.
When the system of equations have the same slope and y-intercept

44. Sector
Replacing one variable with an equivalent expression containing the other variable
When there is a vertical line that has different y points - but the same x point
Graphs
The part of a circle that looks like a piece of pie. A sector is bounded by 2 radii and an arc of the circle.

45. Graphing = or < on a coordinate plane
Shade downwards or to the left
C =?d
y-y1=m(x-x1)
Any ordered pair in a system that makes all the equations true

46. Area of a square
Always
Any ordered pair in a system that makes all the equations true
A segment connecting the center of a circle to any point on the circle
S - where s = length of a side

47. A function is ___________ a relation
A segment connecting the center of a circle to any point on the circle
?r
An ange whose vertex is the center of the circle
Always

48. length of a sector
When the system of equations have the same slope and y-intercept
When the system of equations have the same slope but different y-intercepts
y-y1=m(x-x1)
x/360 times (2 pi r) - where x is the degrees in the angle

49. Elimination method
A=?r2
A segment connecting the center of a circle to any point on the circle
Solving systems by adding or subtracting equations to eliminate a variable
When the system of equations have the same slope and y-intercept

50. tangent ratio
Opposite adjacent
A=?r2
You must flip the sign
y=x or f(x)=x

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SAT and Act Math Formulas

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