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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. length of a sector
Dotted line
x°/360 times (2 pi r) - where x is the degrees in the angle
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.
y-y1=m(x-x1)

2. sine ratio
Ac+ad+bc+bd
y=kx
Any ordered pair in a system that makes all the equations true
Opposite ÷ hypotenuse

3. Graphing method
(a-b)(a²+ab+b²)
Part of a circle connecting two points on the circle.
Graphing the system of equations and finding the point at which they intersect
Linear functions

4. a²+2ab+b²
Graphs
(a+b)²
An ange whose vertex is the center of the circle
(a-b)(a+b)

5. 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
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.
y=kx
Graphs

6. Diameter
Ab+ac
-b±[vb²-4ac]/2a
The distance across the circle through the center of the circle.The diameter is twice the radius.
?d OR 2?r

7. Quadratic Formula
½(base x height) [or (base x height)÷2]
A V-shaped graph that points upward of downward
-b±[vb²-4ac]/2a
y=x or f(x)=x

8. Chord
The distance from one point on the circle to another point on the circle.
Opposite ÷ hypotenuse
y=x or f(x)=x
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.

9. a²-2ab+b²
Solving systems by adding or subtracting equations to eliminate a variable
The distance from one point on the circle to another point on the circle.
The distance across the circle through the center of the circle.The diameter is twice the radius.
(a-b)²

10. Central Angle
y-y1=m(x-x1)
You must flip the sign
When there is a horizontal line that has different x points - but the same y point
An ange whose vertex is the center of the circle

11. Area of a sector
A=bh
Part of a circle connecting two points on the circle.
x°/360 times (?r²) - where x is the degrees in the angle
(a+b)²

12. Area of a circle
Adjacent ÷ hypotenuse
Opposite ÷ hypotenuse
?r²
y=x or f(x)=x

13. Solution of the system of linear equations
y=k/x
Any ordered pair in a system that makes all the equations true
4s (where s = length of a side)
Linear functions

14. Infinitely many solutions
When the system of equations have the same slope and y-intercept
4s (where s = length of a side)
-b±[vb²-4ac]/2a
When the system of equations have different slopes

15. a²-b²
Part of a circle connecting two points on the circle.
(a-b)(a+b)
A=bh
Linear functions

16. Circumference of a circle
(a-b)²
?d OR 2?r
The distance from one point on the circle to another point on the circle.
S² - where s = length of a side

17. Absolute value equation
-b±[vb²-4ac]/2a
A V-shaped graph that points upward of downward
An ange whose vertex is the center of the circle
When there is a vertical line that has different y points - but the same x point

18. A function is ___________ a relation
The distance from one point on the circle to another point on the circle.
Opposite ÷ adjacent
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

19. Sector
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Linear functions
The distance across the circle through the center of the circle.The diameter is twice the radius.
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.

20. Area of Circles
Shade downwards or to the left
A=?r2
Opposite ÷ hypotenuse
You must flip the sign

21. Standard form
Always
(a-b)(a²+ab+b²)
y=x or f(x)=x
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

22. Graphing = or = on a coordinate plane
Linear functions
When the system of equations have the same slope but different y-intercepts
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
Solid line

23. Circumference Formula
?r²
C =?d
(y2-y1)/(x2-x1)
When there is a horizontal line that has different x points - but the same y point

24. Undefined
-b±[vb²-4ac]/2a
4s (where s = length of a side)
Adjacent ÷ hypotenuse
When there is a vertical line that has different y points - but the same x point

25. All direct variations are ____________________
Opposite ÷ hypotenuse
Solving systems by adding or subtracting equations to eliminate a variable
Linear functions
When the system of equations have the same slope but different y-intercepts

26. Graphing = or < on a coordinate plane
y=mx+b
When there is a vertical line that has different y points - but the same x point
Shade downwards or to the left
When the system of equations have different slopes

27. 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.
The distance from one point on the circle to another point on the circle.
(y2-y1)/(x2-x1)
Part of a circle connecting two points on the circle.

28. A parent function is the simplest ____________ of a function
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Equation
Graphs
y-y1=m(x-x1)

29. Dividing by a negative number in an inequality
You must flip the sign
S² - where s = length of a side
The distance from one point on the circle to another point on the circle.
(a-b)(a+b)

30. Slope
y=x or f(x)=x
(a+b)(a²-ab+b²)
Opposite ÷ hypotenuse
(y2-y1)/(x2-x1)

31. a³-b³
Solid line
4s (where s = length of a side)
The distance from one point on the circle to another point on the circle.
(a-b)(a²+ab+b²)

32. Radius (Radii)
When there is a horizontal line that has different x points - but the same y point
A segment connecting the center of a circle to any point on the circle
You must flip the sign
When there is a vertical line that has different y points - but the same x point

33. Slope intercept form
When the system of equations have the same slope but different y-intercepts
Always
y=mx+b
(a+b)²

34. Perimeter (circumference) of a circle
2 pi r
(a-b)(a+b)
When the system of equations have different slopes
When there is a horizontal line that has different x points - but the same y point

35. Linear parent function
The distance from one point on the circle to another point on the circle.
When the system of equations have different slopes
y=x or f(x)=x
Linear functions

36. Area of a triangle
½(base x height) [or (base x height)÷2]
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
4s (where s = length of a side)

37. Elimination method
Dotted line
The distance across the circle through the center of the circle.The diameter is twice the radius.
Solving systems by adding or subtracting equations to eliminate a variable
Shade downwards or to the left

38. Area of a square
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
4s (where s = length of a side)
S² - where s = length of a side

39. One solution
Opposite ÷ hypotenuse
When the system of equations have different slopes
Solving systems by adding or subtracting equations to eliminate a variable
Adjacent ÷ hypotenuse

40. Zero
Replacing one variable with an equivalent expression containing the other variable
When there is a horizontal line that has different x points - but the same y point
S² - where s = length of a side
Opposite ÷ adjacent

41. Circle
Ab+ac
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).
When the system of equations have different slopes

42. tangent ratio
y=x or f(x)=x
Equation
Opposite ÷ adjacent
Linear functions

43. Slope-Intercept
Adjacent ÷ hypotenuse
A segment connecting the center of a circle to any point on the circle
y=mx+b
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

44. Point-Slope form
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
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-y1=m(x-x1)

45. Arc
Replacing one variable with an equivalent expression containing the other variable
y=x or f(x)=x
Part of a circle connecting two points on the circle.
Shade downwards or to the left

46. cosine ratio
Adjacent ÷ hypotenuse
S² - where s = length of a side
Equation
Opposite ÷ hypotenuse

47. a(b+c)
Ab+ac
When the system of equations have the same slope but different y-intercepts
y=mx+b
Ac+ad+bc+bd

48. Inverse Variation
y=k/x
Part of a circle connecting two points on the circle.
When the system of equations have the same slope but different y-intercepts
?r²

49. Perimeter of a square
Equation
A=bh
A V-shaped graph that points upward of downward
4s (where s = length of a side)

50. Graphing = or > on a coordinate plane
Shade upwards or to the right
?r²
x°/360 times (?r²) - where x is the degrees in the angle
Linear functions