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SAT and Act Math Formulas

Subjects : sat, act, 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 re-enforces your understanding as you take the test each time.

1. cosine ratio
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
Adjacent ÷ hypotenuse
(a-b)(a²+ab+b²)

2. Area of Circles
2Length + 2width [or (length + width) x 2]
2 pi r
An ange whose vertex is the center of the circle
A=?r2

3. Sector
y-y1=m(x-x1)
Equation
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.
(a-b)²

4. Point-Slope form
When there is a vertical line that has different y points - but the same x point
y-y1=m(x-x1)
When the system of equations have the same slope but different y-intercepts
Replacing one variable with an equivalent expression containing the other variable

5. Absolute value equation
2 pi r
A V-shaped graph that points upward of downward
?r²
(a-b)²

6. Infinitely many solutions
y=mx+b
C =?d
?r²
When the system of equations have the same slope and y-intercept

7. a(b+c)
Ab+ac
The distance across the circle through the center of the circle.The diameter is twice the radius.
x°/360 times (?r²) - where x is the degrees in the angle
Equation

8. Area of a triangle
An ange whose vertex is the center of 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.
½(base x height) [or (base x height)÷2]
Adjacent ÷ hypotenuse

9. Standard form
S² - where s = length of a side
Always
A segment connecting the center of a circle to any point on 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

10. Elimination method
A=bh
Solving systems by adding or subtracting equations to eliminate a variable
Replacing one variable with an equivalent expression containing the other variable
?r²

11. Area of a square
When the system of equations have the same slope and y-intercept
4s (where s = length of a side)
(a-b)(a+b)
S² - where s = length of a side

12. Area of a sector
x°/360 times (?r²) - where x is the degrees in the angle
S² - where s = length of a side
4s (where s = length of a side)
When there is a vertical line that has different y points - but the same x point

13. Circumference of a circle
(a-b)(a+b)
?d OR 2?r
4s (where s = length of a side)
y=mx+b

14. sine ratio
Shade upwards or to the right
C =?d
Opposite ÷ hypotenuse
(a+b)²

15. Inverse Variation
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
C =?d
Shade downwards or to the left
y=k/x

16. Arc
Solving systems by adding or subtracting equations to eliminate a variable
Part of a circle connecting two points on the circle.
Is the set of points which are all the same distance (its radius) from a certian point( the center).
When there is a horizontal line that has different x points - but the same y point

17. Central Angle
Always
Graphing the system of equations and finding the point at which they intersect
An ange whose vertex is the center of the circle
Part of a circle connecting two points on the circle.

18. a²+2ab+b²
S² - where s = length of a side
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.
(a+b)²
½(base x height) [or (base x height)÷2]

19. tangent ratio
Opposite ÷ adjacent
(a+b)(a²-ab+b²)
A V-shaped graph that points upward of downward
The distance from one point on the circle to another point on the circle.

20. A linear function is a function that _____________ a line
When the system of equations have the same slope and y-intercept
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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Graphs

21. One solution
When the system of equations have the same slope and y-intercept
When the system of equations have different slopes
Solving systems by adding or subtracting equations to eliminate a variable
½(base x height) [or (base x height)÷2]

22. Direct Variation
Part of a circle connecting two points on 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
(a-b)(a+b)
y=kx

23. No solution
½(base x height) [or (base x height)÷2]
4s (where s = length of a side)
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.

24. a²-2ab+b²
y=mx+b
?d OR 2?r
(a-b)²
When the system of equations have the same slope but different y-intercepts

25. Slope intercept form
Graphs
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=mx+b
Linear functions

26. Diameter
y=mx+b
The distance across the circle through the center of the circle.The diameter is twice the radius.
Shade downwards or to the left
½(base x height) [or (base x height)÷2]

27. Graphing = or < on a coordinate plane
½(base x height) [or (base x height)÷2]
Opposite ÷ adjacent
Shade downwards or to the left
4s (where s = length of a side)

28. (a+b)(c+d)
Ac+ad+bc+bd
Equation
Opposite ÷ adjacent
Any ordered pair in a system that makes all the equations true

29. Radius (Radii)
2 pi r
C =?d
When the system of equations have different slopes
A segment connecting the center of a circle to any point on the circle

30. Undefined
(a-b)(a²+ab+b²)
When there is a vertical line that has different y points - but the same x point
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Always

31. A function is ___________ a relation
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
Always
y=k/x
½(b1 +b2) x h [or (b1 +b2) x h÷2]

32. length of a sector
When the system of equations have different slopes
?r²
x°/360 times (2 pi r) - where x is the degrees in the angle
Opposite ÷ hypotenuse

33. Perimeter of a rectangle
(a-b)²
(a-b)(a²+ab+b²)
2Length + 2width [or (length + width) x 2]
(y2-y1)/(x2-x1)

34. Circle
2Length + 2width [or (length + width) x 2]
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.
Shade downwards or to the left

35. Slope
Ac+ad+bc+bd
2Length + 2width [or (length + width) x 2]
You must flip the sign
(y2-y1)/(x2-x1)

36. Perimeter (circumference) of a circle
2 pi r
Opposite ÷ hypotenuse
When there is a vertical line that has different y points - but the same x point
(a-b)(a²+ab+b²)

37. Circumference Formula
C =?d
Opposite ÷ adjacent
Shade downwards or to the left
Solid line

38. A parent function is the simplest ____________ of a function
When there is a vertical line that has different y points - but the same x point
Equation
y-y1=m(x-x1)
(y2-y1)/(x2-x1)

39. Graphing = or > on a coordinate plane
Ab+ac
Shade upwards or to the right
x°/360 times (2 pi r) - where x is the degrees in the angle
Always

40. a³+b³
A=bh
(a+b)(a²-ab+b²)
S² - where s = length of a side
(y2-y1)/(x2-x1)

41. Area of a circle
Opposite ÷ adjacent
?r²
Adjacent ÷ hypotenuse
y=k/x

42. Perimeter of a square
y=x or f(x)=x
?r²
When the system of equations have the same slope but different y-intercepts
4s (where s = length of a side)

43. Chord
Part of a circle connecting two points on the circle.
(a+b)²
The distance from one point on the circle to another point on the circle.
y=x or f(x)=x

44. All direct variations are ____________________
(a-b)(a²+ab+b²)
Part of a circle connecting two points on the circle.
Linear functions
2 pi r

45. Solution of the system of linear equations
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(a-b)(a+b)
Part of a circle connecting two points on the circle.
Any ordered pair in a system that makes all the equations true

46. Slope-Intercept
x°/360 times (?r²) - where x is the degrees in the angle
Ab+ac
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.

47. Quadratic Formula
Ac+ad+bc+bd
-b±[vb²-4ac]/2a
(y2-y1)/(x2-x1)
y-y1=m(x-x1)

48. a³-b³
When the system of equations have the same slope and y-intercept
When the system of equations have different slopes
When the system of equations have the same slope but different y-intercepts
(a-b)(a²+ab+b²)

49. Substitution 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
x°/360 times (2 pi r) - where x is the degrees in the angle
A=?r2
Replacing one variable with an equivalent expression containing the other variable

50. a²-b²
y=kx
(a-b)(a+b)
x°/360 times (?r²) - where x is the degrees in the angle
4s (where s = length of a side)