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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.
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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
The distance across the circle through the center of the circle.The diameter is twice the radius.
Replacing one variable with an equivalent expression containing the other variable
Opposite adjacent
(a+b)

2. a-b
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
The distance across the circle through the center of the circle.The diameter is twice the radius.
(a-b)(a+ab+b)

3. Point-Slope form
y-y1=m(x-x1)
y=mx+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.
x/360 times (?r) - where x is the degrees in the angle

4. Graphing = or > on a coordinate plane
The distance across the circle through the center of the circle.The diameter is twice the radius.
Shade upwards or to the right
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.
4s (where s = length of a side)

5. Undefined
y=k/x
When there is a vertical line that has different y points - but the same x point
Any ordered pair in a system that makes all the equations true
Ab+ac

6. Perimeter (circumference) of a circle
2 pi r
(b1 +b2) x h [or (b1 +b2) x h2]
y=k/x
y=kx

7. A parent function is the simplest ____________ of a function
y=x or f(x)=x
Equation
(a+b)(a-ab+b)
-b[vb-4ac]/2a

8. Perimeter of a rectangle
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.
Dotted line
Opposite hypotenuse
2Length + 2width [or (length + width) x 2]

9. Circumference Formula
C =?d
2 pi r
Opposite hypotenuse
Equation

10. A linear function is a function that _____________ a line
When there is a horizontal line that has different x points - but the same y point
y-y1=m(x-x1)
A=?r2
Graphs

11. Area of a triangle
(base x height) [or (base x height)2]
y=mx+b
?r
Ac+ad+bc+bd

12. Solution of the system of linear equations
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.
Any ordered pair in a system that makes all the equations true
y=kx
Solving systems by adding or subtracting equations to eliminate a variable

13. Inverse Variation
A=bh
When the system of equations have different slopes
y=k/x
-b[vb-4ac]/2a

14. Circle
Solid line
(b1 +b2) x h [or (b1 +b2) x h2]
Dotted line
Is the set of points which are all the same distance (its radius) from a certian point( the center).

15. Standard form
2 pi r
(a-b)(a+b)
x/360 times (2 pi r) - where x is the degrees in the angle
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

16. Translation
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-b)(a+b)
Ac+ad+bc+bd
When there is a vertical line that has different y points - but the same x point

17. Perimeter of a square
Linear functions
4s (where s = length of a side)
Dotted line
Graphs

18. Slope
(y2-y1)/(x2-x1)
(a-b)(a+b)
Opposite adjacent
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.

19. Slope intercept form
y=mx+b
(y2-y1)/(x2-x1)
An ange whose vertex is the center of the circle
Ab+ac

20. Arc
y=kx
y-y1=m(x-x1)
Part of a circle connecting two points on the circle.
(a+b)

21. Sector
x/360 times (2 pi r) - where x is the degrees in the angle
Opposite hypotenuse
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.
When there is a horizontal line that has different x points - but the same y point

22. Elimination method
Solving systems by adding or subtracting equations to eliminate a variable
(a-b)(a+ab+b)
y=k/x
A V-shaped graph that points upward of downward

23. Circumference of a circle
The distance across the circle through the center of the circle.The diameter is twice the radius.
y=k/x
x/360 times (?r) - where x is the degrees in the angle
?d OR 2?r

24. a+2ab+b
The distance from one point on the circle to another point on the circle.
Solving systems by adding or subtracting equations to eliminate a variable
-b[vb-4ac]/2a
(a+b)

25. Chord
x/360 times (2 pi r) - where x is the degrees in the angle
The distance from one point on the circle to another point on the circle.
-b[vb-4ac]/2a
(y2-y1)/(x2-x1)

26. Graphing < or > on a coordinate plane
Shade upwards or to the right
Dotted line
y=k/x
Replacing one variable with an equivalent expression containing the other variable

27. Graphing = or = on a coordinate plane
(a-b)(a+b)
Dotted line
2 pi r
Solid line

28. Substitution method
-b[vb-4ac]/2a
Always
You must flip the sign
Replacing one variable with an equivalent expression containing the other variable

29. cosine ratio
Dotted line
Adjacent hypotenuse
y=k/x
A=?r2

30. Radius (Radii)
A segment connecting the center of a circle to any point on the circle
C =?d
(a-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.

31. Area of rectangle - square - parallelogram
A segment connecting the center of a circle to any point on the circle
Equation
When the system of equations have the same slope and y-intercept
A=bh

32. Direct Variation
Part of a circle connecting two points on the circle.
Ab+ac
y=kx
Dotted line

33. Zero
When there is a horizontal line that has different x points - but the same y point
When the system of equations have the same slope but different y-intercepts
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.

34. a-2ab+b
(a-b)
(a-b)(a+b)
(a+b)
(a+b)(a-ab+b)

35. Graphing method
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)
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).

36. Central Angle
(a-b)
An ange whose vertex is the center of the circle
(a-b)(a+b)
The distance across the circle through the center of the circle.The diameter is twice the radius.

37. Area of a sector
When there is a vertical line that has different y points - but the same x point
A=bh
x/360 times (?r) - where x is the degrees in the angle
y=k/x

38. Dividing by a negative number in an inequality
When the system of equations have the same slope and y-intercept
(a-b)(a+b)
S - where s = length of a side
You must flip the sign

39. Infinitely many solutions
When the system of equations have the same slope and y-intercept
Shade upwards or to the right
Ac+ad+bc+bd
(a-b)(a+b)

40. (a+b)(c+d)
y=x or f(x)=x
?r
Ac+ad+bc+bd
y=k/x

41. Area of Circles
Dotted line
A=?r2
Equation
2Length + 2width [or (length + width) x 2]

42. Area of a trapezoid
(b1 +b2) x h [or (b1 +b2) x h2]
An ange whose vertex is the center of the circle
2 pi r
Adjacent hypotenuse

43. No solution
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 but different y-intercepts
(a-b)(a+ab+b)
Shade downwards or to the left

44. Absolute value equation
(a-b)(a+b)
A=bh
You must flip the sign
A V-shaped graph that points upward of downward

45. 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).
Equation
Shade downwards or to the left
A=?r2

46. a+b
(b1 +b2) x h [or (b1 +b2) x h2]
Ac+ad+bc+bd
y-y1=m(x-x1)
(a+b)(a-ab+b)

47. a-b
(a-b)(a+b)
2 pi r
When the system of equations have the same slope and y-intercept
(y2-y1)/(x2-x1)

48. Slope-Intercept
Equation
y=mx+b
Ab+ac
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.

49. length of a sector
When the system of equations have different slopes
y=kx
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
x/360 times (2 pi r) - where x is the degrees in the angle

50. A function is ___________ a relation
(a+b)
Shade downwards or to the left
Always
A V-shaped graph that points upward of downward

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