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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. Perimeter of a square
4s (where s = length of a side)
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Replacing one variable with an equivalent expression containing the other variable
Part of a circle connecting two points on the circle.

2. Point-Slope form
x°/360 times (?r²) - where x is the degrees in the angle
Equation
y-y1=m(x-x1)
When the system of equations have the same slope and y-intercept

3. Slope intercept form
A=bh
A segment connecting the center of a circle to any point on the circle
y=mx+b
Shade upwards or to the right

4. Inverse Variation
2 pi r
y=k/x
?r²
Ab+ac

5. Perimeter (circumference) of a circle
When the system of equations have different slopes
A=bh
2 pi r
?d OR 2?r

6. Graphing < or > on a coordinate plane
Opposite ÷ hypotenuse
y=x or f(x)=x
Dotted line
y=mx+b

7. tangent ratio
A=bh
Equation
y-y1=m(x-x1)
Opposite ÷ adjacent

8. Chord
y=mx+b
x°/360 times (?r²) - where x is the degrees in the angle
The distance from one point on the circle to another point on the circle.
Adjacent ÷ hypotenuse

9. length of a sector
Solid line
Any ordered pair in a system that makes all the equations true
x°/360 times (2 pi r) - where x is the degrees in the angle
Always

10. Area of a circle
?r²
?d OR 2?r
Solid line
(y2-y1)/(x2-x1)

11. Circumference of a circle
?d OR 2?r
You must flip the sign
A segment connecting the center of a circle to any point on the circle
Graphs

12. Linear parent function
y=x or f(x)=x
A=?r2
-b±[vb²-4ac]/2a
Linear functions

13. Circumference Formula
C =?d
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Any ordered pair in a system that makes all the equations true
(a+b)(a²-ab+b²)

14. Substitution method
?r²
Replacing one variable with an equivalent expression containing the other variable
When the system of equations have the same slope but different y-intercepts
When there is a horizontal line that has different x points - but the same y point

15. No solution
½(base x height) [or (base x height)÷2]
When the system of equations have different slopes
When the system of equations have the same slope but different y-intercepts
C =?d

16. Area of a triangle
x°/360 times (2 pi r) - where x is the degrees in the angle
Always
Shade downwards or to the left
½(base x height) [or (base x height)÷2]

17. a³-b³
When the system of equations have different slopes
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 there is a horizontal line that has different x points - but the same y point
(a-b)(a²+ab+b²)

18. Circle
A=?r2
Is the set of points which are all the same distance (its radius) from a certian point( the center).
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.
Part of a circle connecting two points on the circle.

19. sine ratio
y=kx
C =?d
Opposite ÷ hypotenuse
Any ordered pair in a system that makes all the equations true

20. a(b+c)
4s (where s = length of a side)
C =?d
Ab+ac
Adjacent ÷ hypotenuse

21. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
Ab+ac
Graphs
When there is a vertical line that has different y points - but the same x point

22. Slope
A V-shaped graph that points upward of downward
Is the set of points which are all the same distance (its radius) from a certian point( the center).
y=mx+b
(y2-y1)/(x2-x1)

23. Direct Variation
When the system of equations have different slopes
y=kx
Adjacent ÷ hypotenuse
Opposite ÷ adjacent

24. (a+b)(c+d)
y=mx+b
Ac+ad+bc+bd
2Length + 2width [or (length + width) x 2]
A V-shaped graph that points upward of downward

25. Translation
The distance across the circle through the center of the circle.The diameter is twice the radius.
Part of a circle connecting two points 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.
Adjacent ÷ hypotenuse

26. Quadratic Formula
½(base x height) [or (base x height)÷2]
Solid line
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.
-b±[vb²-4ac]/2a

27. Slope-Intercept
-b±[vb²-4ac]/2a
y=mx+b
Graphing the system of equations and finding the point at which they intersect
y=kx

28. Elimination method
Solving systems by adding or subtracting equations to eliminate a variable
Opposite ÷ hypotenuse
The distance across the circle through the center of the circle.The diameter is twice the radius.
y=mx+b

29. A linear function is a function that _____________ a line
(a-b)²
Graphs
(a-b)(a+b)
Dotted line

30. Area of rectangle - square - parallelogram
A=bh
x°/360 times (2 pi r) - where x is the degrees in the angle
Graphing the system of equations and finding the point at which they intersect
(a+b)²

31. Graphing = or < on a coordinate plane
Shade downwards or to the left
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Graphs
Solving systems by adding or subtracting equations to eliminate a variable

32. Zero
When the system of equations have the same slope but different y-intercepts
When there is a horizontal line that has different x points - but the same y point
You must flip the sign
C =?d

33. Graphing method
Graphing the system of equations and finding the point at which they intersect
4s (where s = length of a side)
Part of a circle connecting two points on the circle.
Ab+ac

34. Area of Circles
y=mx+b
A=?r2
Graphs
x°/360 times (2 pi r) - where x is the degrees in the angle

35. One solution
When the system of equations have different slopes
When there is a vertical line that has different y points - but the same x point
?d OR 2?r
2Length + 2width [or (length + width) x 2]

36. A parent function is the simplest ____________ of a function
A=?r2
½(b1 +b2) x h [or (b1 +b2) x h÷2]
A=bh
Equation

37. Central Angle
When the system of equations have the same slope and y-intercept
Shade downwards or to the left
An ange whose vertex is the center of the circle
Always

38. Area of a sector
x°/360 times (?r²) - where x is the degrees in the angle
(a+b)(a²-ab+b²)
½(b1 +b2) x h [or (b1 +b2) x h÷2]
y-y1=m(x-x1)

39. Graphing = or > on a coordinate plane
Ac+ad+bc+bd
½(base x height) [or (base x height)÷2]
Ab+ac
Shade upwards or to the right

40. cosine ratio
x°/360 times (2 pi r) - where x is the degrees in the angle
Adjacent ÷ hypotenuse
When the system of equations have the same slope but different y-intercepts
(a-b)²

41. Absolute value equation
A V-shaped graph that points upward of downward
(a+b)²
The distance across the circle through the center of the circle.The diameter is twice the radius.
Ab+ac

42. All direct variations are ____________________
y=k/x
Linear functions
2 pi r
-b±[vb²-4ac]/2a

43. a²-2ab+b²
y=mx+b
Graphs
(a-b)(a+b)
(a-b)²

44. Area of a square
S² - where s = length of a side
A segment connecting the center of a circle to any point on the circle
Equation
Solid line

45. Graphing = or = on a coordinate plane
Solid line
When there is a horizontal line that has different x points - but the same y point
Dotted line
S² - where s = length of a side

46. Solution of the system of linear equations
Shade upwards or to the right
y-y1=m(x-x1)
Any ordered pair in a system that makes all the equations true
When the system of equations have different slopes

47. Infinitely many solutions
Ab+ac
Replacing one variable with an equivalent expression containing the other variable
When the system of equations have the same slope and y-intercept
Shade upwards or to the right

48. Arc
Any ordered pair in a system that makes all the equations true
2Length + 2width [or (length + width) x 2]
Part of a circle connecting two points on the circle.
A segment connecting the center of a circle to any point on the circle

49. Radius (Radii)
A segment connecting the center of a circle to any point on the circle
?d OR 2?r
y=kx
Any ordered pair in a system that makes all the equations true

50. Sector
y=x or f(x)=x
Is the set of points which are all the same distance (its radius) from a certian point( the center).
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.
4s (where s = length of a side)