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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
C =?d
x°/360 times (2 pi r) - where x is the degrees in the angle
y=mx+b
Opposite ÷ hypotenuse

2. A function is ___________ a relation
Equation
You must flip the sign
Solving systems by adding or subtracting equations to eliminate a variable
Always

3. Area of rectangle - square - parallelogram
When there is a vertical line that has different y points - but the same x point
Opposite ÷ adjacent
y=k/x
A=bh

4. (a+b)(c+d)
A=bh
(a-b)(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.
Ac+ad+bc+bd

5. Area of a trapezoid
C =?d
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 upwards or to the right
½(b1 +b2) x h [or (b1 +b2) x h÷2]

6. Graphing < or > on a coordinate plane
The distance across the circle through the center of the circle.The diameter is twice the radius.
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
Dotted line
Linear functions

7. Graphing method
Graphing the system of equations and finding the point at which they intersect
When the system of equations have different slopes
The distance from one point on the circle to another point on the circle.
2 pi r

8. A parent function is the simplest ____________ of a function
Adjacent ÷ hypotenuse
Any ordered pair in a system that makes all the equations true
Equation
Ab+ac

9. Radius (Radii)
Part of a circle connecting two points on the circle.
x°/360 times (?r²) - where x is the degrees in the angle
A segment connecting the center of a circle to any point on the circle
(a+b)²

10. Solution of the system of linear equations
Linear functions
y=mx+b
Adjacent ÷ hypotenuse
Any ordered pair in a system that makes all the equations true

11. Arc
Part of a circle connecting two points on the circle.
?r²
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.
Always

12. Elimination method
x°/360 times (2 pi r) - where x is the degrees in the angle
Equation
Solving systems by adding or subtracting equations to eliminate a variable
Ac+ad+bc+bd

13. Perimeter of a square
(a-b)(a²+ab+b²)
?d OR 2?r
Solid line
4s (where s = length of a side)

14. Area of a sector
The distance across the circle through the center of the circle.The diameter is twice the radius.
Solid line
(a-b)²
x°/360 times (?r²) - where x is the degrees in the angle

15. Slope intercept form
Linear functions
½(b1 +b2) x h [or (b1 +b2) x h÷2]
y=mx+b
4s (where s = length of a side)

16. a(b+c)
A segment connecting the center of a circle to any point on the circle
A=bh
Ab+ac
4s (where s = length of a side)

17. Substitution method
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Replacing one variable with an equivalent expression containing the other variable
Opposite ÷ hypotenuse
y=k/x

18. A linear function is a function that _____________ a line
A V-shaped graph that points upward of downward
Linear functions
Graphs
Ab+ac

19. Area of a triangle
(a-b)²
½(base x height) [or (base x height)÷2]
y-y1=m(x-x1)
Equation

20. Slope
Part of a circle connecting two points on the circle.
(y2-y1)/(x2-x1)
½(base x height) [or (base x height)÷2]
?r²

21. Area of Circles
Shade upwards or to the right
A=?r2
(a+b)(a²-ab+b²)
An ange whose vertex is the center of the circle

22. Area of a 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.
-b±[vb²-4ac]/2a
y=mx+b
?r²

23. Chord
When there is a vertical line that has different y points - but the same x point
The distance from one point on the circle to another point on the circle.
A segment connecting the center of a circle to any point on the circle
(a+b)(a²-ab+b²)

24. Diameter
Linear functions
y=k/x
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

25. Translation
S² - where s = length of a side
When there is a horizontal line that has different x points - but the same y point
y=x or f(x)=x
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.

26. Graphing = or = on a coordinate plane
Solid line
An ange whose vertex is the center of the circle
Adjacent ÷ hypotenuse
A=bh

27. All direct variations are ____________________
Part of a circle connecting two points on the circle.
Linear functions
?r²
Shade downwards or to the left

28. Inverse Variation
When the system of equations have the same slope but different y-intercepts
2Length + 2width [or (length + width) x 2]
y=k/x
Graphs

29. Infinitely many solutions
Equation
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
y=x or f(x)=x

30. Area of a square
S² - where s = length of a side
Equation
?r²
Ab+ac

31. Circle
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Replacing one variable with an equivalent expression containing the other variable
Shade downwards or to the left
Ab+ac

32. a²-2ab+b²
y=mx+b
S² - where s = length of a side
x°/360 times (2 pi r) - where x is the degrees in the angle
(a-b)²

33. Quadratic Formula
-b±[vb²-4ac]/2a
Equation
Always
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.

34. Perimeter of a rectangle
x°/360 times (2 pi r) - where x is the degrees in the angle
½(base x height) [or (base x height)÷2]
2Length + 2width [or (length + width) x 2]
Solid line

35. Perimeter (circumference) of a circle
Shade downwards or to the left
When the system of equations have the same slope and y-intercept
2 pi r
Part of a circle connecting two points on the circle.

36. Graphing = or > on a coordinate plane
Shade upwards or to the right
Shade downwards or to the left
A segment connecting the center of a circle to any point on the circle
You must flip the sign

37. One solution
(a-b)(a+b)
2Length + 2width [or (length + width) x 2]
S² - where s = length of a side
When the system of equations have different slopes

38. Sector
y-y1=m(x-x1)
y=kx
Graphing the system of equations and finding the point at which they intersect
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.

39. Dividing by a negative number in an inequality
(a+b)(a²-ab+b²)
A=bh
You must flip the sign
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.

40. Circumference of a circle
?d OR 2?r
When the system of equations have the same slope and y-intercept
Graphing the system of equations and finding the point at which they intersect
2Length + 2width [or (length + width) x 2]

41. Undefined
When the system of equations have the same slope but different y-intercepts
When there is a vertical line that has different y points - but the same x point
When the system of equations have different slopes
Any ordered pair in a system that makes all the equations true

42. a²+2ab+b²
(a+b)²
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-y1=m(x-x1)

43. Zero
Solid line
x°/360 times (2 pi r) - where x is the degrees in the angle
When there is a horizontal line that has different x points - but the same y point
y=mx+b

44. tangent ratio
-b±[vb²-4ac]/2a
Opposite ÷ adjacent
S² - where s = length of a side
You must flip the sign

45. Absolute value equation
Replacing one variable with an equivalent expression containing the other variable
A V-shaped graph that points upward of downward
(a+b)²
Ab+ac

46. Graphing = or < on a coordinate plane
Shade downwards or to the left
Opposite ÷ adjacent
When there is a vertical line that has different y points - but the same x point
A=bh

47. No solution
A=bh
When the system of equations have the same slope but different y-intercepts
When the system of equations have different slopes
?d OR 2?r

48. a²-b²
(a-b)(a+b)
When the system of equations have the same slope and y-intercept
Part of a circle connecting two points on the circle.
A=bh

49. Standard form
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
(y2-y1)/(x2-x1)
Adjacent ÷ hypotenuse

50. Direct Variation
Linear functions
Equation
Solid line
y=kx