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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. Graphing = or > on a coordinate plane
(b1 +b2) x h [or (b1 +b2) x h2]
Part of a circle connecting two points on the circle.
Replacing one variable with an equivalent expression containing the other variable
Shade upwards or to the right

2. Quadratic Formula
y-y1=m(x-x1)
(y2-y1)/(x2-x1)
(base x height) [or (base x height)2]
-b[vb-4ac]/2a

3. a-b
4s (where s = length of a side)
?d OR 2?r
(a-b)(a+b)
An ange whose vertex is the center of the circle

4. length of a sector
A segment connecting the center of a circle to any point on the circle
x/360 times (2 pi r) - where x is the degrees in the angle
A V-shaped graph that points upward of downward
(a-b)

5. Chord
The distance from one point on the circle to another point on the circle.
(a-b)(a+b)
x/360 times (2 pi r) - where x is the degrees in the angle
A segment connecting the center of a circle to any point on the circle

6. Area of rectangle - square - parallelogram
C =?d
Graphs
A=bh
x/360 times (?r) - where x is the degrees in the angle

7. Solution of the system of linear equations
Linear functions
A=?r2
Any ordered pair in a system that makes all the equations true
When there is a horizontal line that has different x points - but the same y point

8. Area of Circles
Any ordered pair in a system that makes all the equations true
2Length + 2width [or (length + width) x 2]
An ange whose vertex is the center of the circle
A=?r2

9. a+2ab+b
You must flip the sign
?r
A=bh
(a+b)

10. Direct Variation
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.
(base x height) [or (base x height)2]
(a-b)(a+ab+b)
y=kx

11. Graphing = or < on a coordinate plane
Shade downwards or to the left
Equation
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Dotted line

12. Area of a triangle
?d OR 2?r
(base x height) [or (base x height)2]
y=mx+b
When there is a horizontal line that has different x points - but the same y point

13. Standard form
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.
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
When there is a horizontal line that has different x points - but the same y point
Equation

14. tangent ratio
Opposite hypotenuse
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.
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+d)
4s (where s = length of a side)
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 the same slope and y-intercept
Ac+ad+bc+bd

16. Substitution method
(a-b)(a+b)
An ange whose vertex is the center of the circle
y=kx
Replacing one variable with an equivalent expression containing the other variable

17. One solution
Shade upwards or to the right
When the system of equations have different slopes
Dotted line
Linear functions

18. cosine ratio
Opposite adjacent
Shade downwards or to the left
Adjacent hypotenuse
When the system of equations have the same slope but different y-intercepts

19. Arc
4s (where s = length of a side)
Linear functions
y=mx+b
Part of a circle connecting two points on the circle.

20. Perimeter of a rectangle
Equation
Any ordered pair in a system that makes all the equations true
2Length + 2width [or (length + width) x 2]
Opposite hypotenuse

21. Perimeter of a square
?r
4s (where s = length of a side)
Dotted line
Shade downwards or to the left

22. All direct variations are ____________________
Linear functions
Solving systems by adding or subtracting equations to eliminate a variable
Dotted line
When there is a vertical line that has different y points - but the same x point

23. Graphing = or = on a coordinate plane
2Length + 2width [or (length + width) x 2]
Solid line
(b1 +b2) x h [or (b1 +b2) x h2]
(y2-y1)/(x2-x1)

24. Area of a circle
The distance from one point on the circle to another point on the circle.
Solid line
Graphs
?r

25. Translation
Adjacent hypotenuse
The distance from one point on the circle to another point 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.
Ac+ad+bc+bd

26. a(b+c)
Equation
Ac+ad+bc+bd
Ab+ac
Opposite adjacent

27. a-2ab+b
Opposite hypotenuse
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
(a-b)

28. Undefined
2Length + 2width [or (length + width) x 2]
Ab+ac
When there is a vertical line that has different y points - but the same x point
y=kx

29. a-b
Ac+ad+bc+bd
y=mx+b
2 pi r
(a-b)(a+ab+b)

30. Sector
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.
y=mx+b
Is the set of points which are all the same distance (its radius) from a certian point( the center).
?d OR 2?r

31. Infinitely many solutions
x/360 times (?r) - where x is the degrees in the angle
Part of a circle connecting two points on the circle.
When the system of equations have the same slope but different y-intercepts
When the system of equations have the same slope and y-intercept

32. Area of a sector
Adjacent hypotenuse
Part of a circle connecting two points on the circle.
x/360 times (?r) - where x is the degrees in the angle
y=mx+b

33. Circumference of a circle
?d OR 2?r
Adjacent hypotenuse
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 and y-intercept

34. Circle
2 pi r
An ange whose vertex is the center of the circle
Opposite adjacent
Is the set of points which are all the same distance (its radius) from a certian point( the center).

35. Elimination method
Shade upwards or to the right
(base x height) [or (base x height)2]
S - where s = length of a side
Solving systems by adding or subtracting equations to eliminate a variable

36. Linear parent function
S - where s = length of a side
(a-b)(a+ab+b)
(a-b)(a+b)
y=x or f(x)=x

37. Slope
(a-b)(a+b)
Ac+ad+bc+bd
S - where s = length of a side
(y2-y1)/(x2-x1)

38. Perimeter (circumference) of a circle
y=x or f(x)=x
A=?r2
Graphs
2 pi r

39. No solution
Adjacent hypotenuse
The distance across the circle through the center of the circle.The diameter is twice the radius.
When the system of equations have the same slope but different y-intercepts
Part of a circle connecting two points on the circle.

40. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
Shade upwards or to the right
y=kx
Part of a circle connecting two points on the circle.

41. Area of a square
y=kx
A=?r2
y=mx+b
S - where s = length of a side

42. Dividing by a negative number in an inequality
-b[vb-4ac]/2a
S - where s = length of a side
Any ordered pair in a system that makes all the equations true
You must flip the sign

43. Radius (Radii)
When there is a horizontal line that has different x points - but the same y point
y=mx+b
(y2-y1)/(x2-x1)
A segment connecting the center of a circle to any point on the circle

44. Graphing method
C =?d
Graphing the system of equations and finding the point at which they intersect
Ac+ad+bc+bd
Adjacent hypotenuse

45. sine ratio
When the system of equations have the same slope but different y-intercepts
A V-shaped graph that points upward of downward
Opposite hypotenuse
You must flip the sign

46. Area of a trapezoid
When the system of equations have the same slope and y-intercept
(b1 +b2) x h [or (b1 +b2) x h2]
?d OR 2?r
C =?d

47. A linear function is a function that _____________ a line
x/360 times (?r) - where x is the degrees in the angle
(b1 +b2) x h [or (b1 +b2) x h2]
y=mx+b
Graphs

48. Point-Slope form
-b[vb-4ac]/2a
Adjacent hypotenuse
y-y1=m(x-x1)
Graphs

49. A parent function is the simplest ____________ of a function
Equation
You must flip the sign
When there is a horizontal line that has different x points - but the same y point
C =?d

50. Absolute value equation
Opposite hypotenuse
A segment connecting the center of a circle to any point on the circle
A V-shaped graph that points upward of downward
Ac+ad+bc+bd

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