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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. Circumference Formula
Part of a circle connecting two points on the circle.
Dotted line
C =?d
A V-shaped graph that points upward of downward

2. Circumference of a circle
Graphing the system of equations and finding the point at which they intersect
A=bh
Always
?d OR 2?r

3. (a+b)(c+d)
(a+b)(a²-ab+b²)
Ac+ad+bc+bd
When the system of equations have the same slope but different y-intercepts
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.

4. Sector
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
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.
Graphs

5. a(b+c)
y=x or f(x)=x
Replacing one variable with an equivalent expression containing the other variable
Ab+ac
Part of a circle connecting two points on the circle.

6. 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.
y=mx+b
A=bh

7. Slope
y=x or f(x)=x
An ange whose vertex is the center of the circle
Always
(y2-y1)/(x2-x1)

8. a²-2ab+b²
2Length + 2width [or (length + width) x 2]
(a-b)²
(a-b)(a²+ab+b²)
2 pi r

9. length of a sector
The distance from one point on the circle to another point on the circle.
?r²
x°/360 times (2 pi r) - where x is the degrees in the angle
Equation

10. Infinitely many solutions
-b±[vb²-4ac]/2a
The distance from one point on the circle to another point on the circle.
When the system of equations have the same slope and y-intercept
An ange whose vertex is the center of the circle

11. tangent ratio
y-y1=m(x-x1)
2 pi r
When there is a horizontal line that has different x points - but the same y point
Opposite ÷ adjacent

12. Graphing method
Linear functions
Ac+ad+bc+bd
Graphing the system of equations and finding the point at which they intersect
-b±[vb²-4ac]/2a

13. Area of a sector
Ab+ac
C =?d
x°/360 times (?r²) - where x is the degrees in the angle
Equation

14. Area of a circle
Graphs
½(base x height) [or (base x height)÷2]
Graphing the system of equations and finding the point at which they intersect
?r²

15. Circle
2Length + 2width [or (length + width) x 2]
x°/360 times (?r²) - where x is the degrees in the angle
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Opposite ÷ adjacent

16. a³+b³
The distance across the circle through the center of the circle.The diameter is twice the radius.
Solid line
(a+b)(a²-ab+b²)
Graphs

17. Area of rectangle - square - parallelogram
-b±[vb²-4ac]/2a
Shade downwards or to the left
Opposite ÷ adjacent
A=bh

18. Translation
Solid line
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.
2 pi r
An ange whose vertex is the center of the circle

19. Arc
y=kx
Part of a circle connecting two points on the circle.
When there is a horizontal line that has different x points - but the same y point
Any ordered pair in a system that makes all the equations true

20. sine ratio
2Length + 2width [or (length + width) x 2]
2 pi r
Opposite ÷ hypotenuse
Always

21. Chord
When there is a horizontal line that has different x points - but the same y point
Solving systems by adding or subtracting equations to eliminate a variable
S² - where s = length of a side
The distance from one point on the circle to another point on the circle.

22. Central Angle
y=x or f(x)=x
An ange whose vertex is the center of the circle
Part of a circle connecting two points on the circle.
(a-b)(a+b)

23. Slope intercept form
y=mx+b
A=?r2
Any ordered pair in a system that makes all the equations true
Solving systems by adding or subtracting equations to eliminate a variable

24. Graphing = or < on a coordinate plane
When there is a vertical line that has different y points - but the same x point
Opposite ÷ hypotenuse
y-y1=m(x-x1)
Shade downwards or to the left

25. Standard form
Is the set of points which are all the same distance (its radius) from a certian point( the center).
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.
Any ordered pair in a system that makes all the equations true

26. a²-b²
(y2-y1)/(x2-x1)
Is the set of points which are all the same distance (its radius) from a certian point( the center).
(a-b)(a+b)
Ab+ac

27. Slope-Intercept
y=mx+b
y-y1=m(x-x1)
(a+b)(a²-ab+b²)
Opposite ÷ hypotenuse

28. Quadratic Formula
Opposite ÷ adjacent
-b±[vb²-4ac]/2a
(a-b)(a+b)
Graphs

29. Inverse Variation
(a+b)²
y=k/x
The distance from one point on the circle to another point on the circle.
Replacing one variable with an equivalent expression containing the other variable

30. Dividing by a negative number in an inequality
y=mx+b
You must flip the sign
The distance from one point on the circle to another point on the circle.
A V-shaped graph that points upward of downward

31. Absolute value equation
Equation
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)(a²+ab+b²)
A V-shaped graph that points upward of downward

32. Zero
When there is a horizontal line that has different x points - but the same y 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.
Opposite ÷ adjacent
Part of a circle connecting two points on the circle.

33. cosine ratio
(a-b)(a²+ab+b²)
Adjacent ÷ hypotenuse
Any ordered pair in a system that makes all the equations true
Always

34. Perimeter of a rectangle
S² - where s = length of a side
When the system of equations have the same slope but different y-intercepts
Is the set of points which are all the same distance (its radius) from a certian point( the center).
2Length + 2width [or (length + width) x 2]

35. Area of a square
½(base x height) [or (base x height)÷2]
S² - where s = length of a side
A=bh
The distance across the circle through the center of the circle.The diameter is twice the radius.

36. A parent function is the simplest ____________ of a function
Equation
Graphs
When the system of equations have different slopes
(y2-y1)/(x2-x1)

37. Solution of the system of linear equations
y=kx
y=mx+b
Any ordered pair in a system that makes all the equations true
S² - where s = length of a side

38. Direct Variation
y=kx
y=mx+b
-b±[vb²-4ac]/2a
Linear functions

39. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
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
S² - where s = length of a side

40. A linear function is a function that _____________ a line
When the system of equations have different slopes
(a+b)²
Graphs
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.

41. Substitution method
Replacing one variable with an equivalent expression containing the other variable
An ange whose vertex is the center of the circle
Shade downwards or to the left
½(b1 +b2) x h [or (b1 +b2) x h÷2]

42. Perimeter of a square
Part of a circle connecting two points on the circle.
4s (where s = length of a side)
2Length + 2width [or (length + width) x 2]
Opposite ÷ adjacent

43. Area of a triangle
½(base x height) [or (base x height)÷2]
You must flip the sign
-b±[vb²-4ac]/2a
When the system of equations have different slopes

44. a³-b³
(a-b)(a²+ab+b²)
When the system of equations have the same slope but different y-intercepts
½(base x height) [or (base x height)÷2]
A V-shaped graph that points upward of downward

45. a²+2ab+b²
A segment connecting the center of a circle to any point on the circle
(a+b)(a²-ab+b²)
(a+b)²
Opposite ÷ hypotenuse

46. Point-Slope form
(a-b)(a+b)
C =?d
y-y1=m(x-x1)
Linear functions

47. Perimeter (circumference) of a circle
Replacing one variable with an equivalent expression containing the other variable
When the system of equations have the same slope but different y-intercepts
Solid line
2 pi r

48. Elimination method
4s (where s = length of a side)
When there is a horizontal line that has different x points - but the same y point
Solving systems by adding or subtracting equations to eliminate a variable
y=x or f(x)=x

49. A function is ___________ a relation
Always
(a+b)(a²-ab+b²)
(y2-y1)/(x2-x1)
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.

50. Area of Circles
2Length + 2width [or (length + width) x 2]
A=?r2
½(b1 +b2) x h [or (b1 +b2) x h÷2]
4s (where s = length of a side)