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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. Diameter
When the system of equations have different slopes
You must flip the sign
The distance across the circle through the center of the circle.The diameter is twice the radius.
Shade upwards or to the right

2. Area of a circle
2 pi r
?r
Replacing one variable with an equivalent expression containing the other variable
S - where s = length of a side

3. Substitution method
Replacing one variable with an equivalent expression containing the other variable
Shade downwards or to the left
When there is a horizontal line that has different x points - but the same y point
When there is a vertical line that has different y points - but the same x point

4. 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
(a-b)(a+ab+b)
(y2-y1)/(x2-x1)
Is the set of points which are all the same distance (its radius) from a certian point( the center).

5. A function is ___________ a relation
Graphs
Always
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
Solving systems by adding or subtracting equations to eliminate a variable

6. Inverse Variation
Is the set of points which are all the same distance (its radius) from a certian point( the center).
y=kx
y=k/x
An ange whose vertex is the center of the circle

7. No solution
A=bh
You must flip the sign
y=mx+b
When the system of equations have the same slope but different y-intercepts

8. cosine ratio
When there is a horizontal line that has different x points - but the same y point
When the system of equations have different slopes
Adjacent hypotenuse
When the system of equations have the same slope but different y-intercepts

9. Graphing < or > on a coordinate plane
Dotted line
-b[vb-4ac]/2a
S - where s = length of a side
(a-b)

10. Point-Slope form
y-y1=m(x-x1)
-b[vb-4ac]/2a
Part of a circle connecting two points on the circle.
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.

11. Perimeter (circumference) of a circle
Any ordered pair in a system that makes all the equations true
Ac+ad+bc+bd
When the system of equations have the same slope but different y-intercepts
2 pi r

12. Area of a triangle
A V-shaped graph that points upward of downward
?r
You must flip the sign
(base x height) [or (base x height)2]

13. Area of Circles
Part of a circle connecting two points on the circle.
(a+b)
x/360 times (?r) - where x is the degrees in the angle
A=?r2

14. Central Angle
Always
(a-b)
The distance from one point on the circle to another point on the circle.
An ange whose vertex is the center of the circle

15. Area of a square
2Length + 2width [or (length + width) x 2]
(a-b)(a+ab+b)
S - where s = length of a side
y-y1=m(x-x1)

16. Direct Variation
2Length + 2width [or (length + width) x 2]
When there is a vertical line that has different y points - but the same x point
Opposite hypotenuse
y=kx

17. a-2ab+b
Equation
?r
(base x height) [or (base x height)2]
(a-b)

18. A parent function is the simplest ____________ of a function
Equation
A=?r2
Shade downwards or to the left
Always

19. Translation
Part of a circle connecting two points on the circle.
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.
A=?r2
When the system of equations have the same slope and y-intercept

20. Graphing = or = on a coordinate plane
Solid line
The distance across the circle through the center of the circle.The diameter is twice the radius.
Shade downwards or to the left
?d OR 2?r

21. Quadratic Formula
Any ordered pair in a system that makes all the equations true
-b[vb-4ac]/2a
y=x or f(x)=x
Linear functions

22. Dividing by a negative number in an inequality
You must flip the sign
Is the set of points which are all the same distance (its radius) from a certian point( the center).
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.
?d OR 2?r

23. a+b
(a+b)(a-ab+b)
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.
Solving systems by adding or subtracting equations to eliminate a variable
Opposite hypotenuse

24. Area of rectangle - square - parallelogram
A=bh
Linear functions
An ange whose vertex is the center of the circle
4s (where s = length of a side)

25. Graphing = or < on a coordinate plane
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Shade downwards or to the left
(b1 +b2) x h [or (b1 +b2) x h2]
A=?r2

26. Absolute value equation
When there is a horizontal line that has different x points - but the same y point
A V-shaped graph that points upward of downward
Shade downwards or to the left
You must flip the sign

27. One solution
When the system of equations have different slopes
When there is a vertical line that has different y points - but the same x point
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.
Linear functions

28. a-b
(a-b)(a+b)
-b[vb-4ac]/2a
x/360 times (2 pi r) - where x is the degrees in the angle
(a-b)(a+ab+b)

29. Graphing = or > on a coordinate plane
Graphing the system of equations and finding the point at which they intersect
Shade downwards or to the left
When there is a horizontal line that has different x points - but the same y point
Shade upwards or to the right

30. Linear parent function
Ac+ad+bc+bd
y=k/x
y=x or f(x)=x
-b[vb-4ac]/2a

31. Perimeter of a rectangle
(a+b)(a-ab+b)
-b[vb-4ac]/2a
2Length + 2width [or (length + width) x 2]
Adjacent hypotenuse

32. Graphing method
The distance across the circle through the center of the circle.The diameter is twice the radius.
Graphing the system of equations and finding the point at which they intersect
Is the set of points which are all the same distance (its radius) from a certian point( the center).
When the system of equations have the same slope and y-intercept

33. Chord
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Solving systems by adding or subtracting equations to eliminate a variable
An ange whose vertex is the center of the circle
The distance from one point on the circle to another point on the circle.

34. sine ratio
Opposite hypotenuse
y=mx+b
The distance from one point on the circle to another point on the circle.
(y2-y1)/(x2-x1)

35. Slope-Intercept
S - where s = length of a side
A segment connecting the center of a circle to any point on the circle
(y2-y1)/(x2-x1)
y=mx+b

36. Standard form
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
y=x or f(x)=x
Always
When there is a vertical line that has different y points - but the same x point

37. Area of a sector
When the system of equations have the same slope and y-intercept
x/360 times (?r) - where x is the degrees in the angle
y-y1=m(x-x1)
When the system of equations have different slopes

38. A linear function is a function that _____________ a line
Always
Graphs
Opposite hypotenuse
A V-shaped graph that points upward of downward

39. tangent ratio
Opposite adjacent
4s (where s = length of a side)
An ange whose vertex is the center of the circle
Adjacent hypotenuse

40. Slope intercept form
When the system of equations have the same slope and y-intercept
y=mx+b
y=k/x
(a+b)(a-ab+b)

41. Elimination method
Solving systems by adding or subtracting equations to eliminate a variable
When the system of equations have the same slope and y-intercept
You must flip the sign
(a+b)(a-ab+b)

42. (a+b)(c+d)
(a+b)(a-ab+b)
y=x or f(x)=x
Ac+ad+bc+bd
Is the set of points which are all the same distance (its radius) from a certian point( the center).

43. Slope
A segment connecting the center of a circle to any point on the circle
Dotted line
(base x height) [or (base x height)2]
(y2-y1)/(x2-x1)

44. Perimeter of a square
Graphing the system of equations and finding the point at which they intersect
2Length + 2width [or (length + width) x 2]
A V-shaped graph that points upward of downward
4s (where s = length of a side)

45. Undefined
When there is a horizontal line that has different x points - but the same y point
Equation
When there is a vertical line that has different y points - but the same x point
(b1 +b2) x h [or (b1 +b2) x h2]

46. Infinitely many solutions
Ac+ad+bc+bd
When the system of equations have the same slope and y-intercept
A=?r2
(a+b)

47. Circumference Formula
C =?d
(a-b)(a+b)
An ange whose vertex is the center of the circle
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.

48. length of a sector
2Length + 2width [or (length + width) x 2]
When the system of equations have the same slope and y-intercept
x/360 times (2 pi r) - where x is the degrees in the angle
y=k/x

49. Circumference of a circle
(a-b)
Part of a circle connecting two points on the circle.
-b[vb-4ac]/2a
?d OR 2?r

50. Arc
Part of a circle connecting two points on the circle.
Always
?d OR 2?r
When the system of equations have the same slope and y-intercept

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SAT and Act Math Formulas

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