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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. Area of rectangle - square - parallelogram
An ange whose vertex is the center of the circle
(a-b)(a²+ab+b²)
A=bh
A=?r2

2. Area of a sector
?d OR 2?r
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
2Length + 2width [or (length + width) x 2]

3. Perimeter of a rectangle
y-y1=m(x-x1)
The distance across the circle through the center of the circle.The diameter is twice the radius.
2Length + 2width [or (length + width) x 2]
C =?d

4. Area of Circles
(a-b)(a²+ab+b²)
Part of a circle connecting two points on the circle.
A=?r2
Shade upwards or to the right

5. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
A=?r2
Linear functions
2Length + 2width [or (length + width) x 2]

6. Slope
(y2-y1)/(x2-x1)
Solid line
y=mx+b
(a-b)²

7. Perimeter of a square
Shade downwards or to the left
x°/360 times (?r²) - where x is the degrees in the angle
4s (where s = length of a side)
(a-b)²

8. tangent ratio
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.
Opposite ÷ adjacent
A V-shaped graph that points upward of downward

9. Central 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.
Graphing the system of equations and finding the point at which they intersect
An ange whose vertex is the center of the circle
x°/360 times (2 pi r) - where x is the degrees in the angle

10. A linear function is a function that _____________ a line
Graphs
A segment connecting the center of a circle to any point on the circle
A V-shaped graph that points upward of downward
S² - where s = length of a side

11. a³+b³
Solving systems by adding or subtracting equations to eliminate a variable
Graphs
(a+b)(a²-ab+b²)
(a+b)²

12. Radius (Radii)
4s (where s = length of a side)
½(base x height) [or (base x height)÷2]
A segment connecting the center of a circle to any point on the circle
Solving systems by adding or subtracting equations to eliminate a variable

13. Area of a triangle
Ac+ad+bc+bd
When the system of equations have different slopes
C =?d
½(base x height) [or (base x height)÷2]

14. Linear parent function
y=x or f(x)=x
y=mx+b
Linear functions
(a-b)(a²+ab+b²)

15. Graphing = or = on a coordinate plane
Solid line
4s (where s = length of a side)
x°/360 times (?r²) - where x is the degrees in the angle
Always

16. Arc
Part of a circle connecting two points on the circle.
Solving systems by adding or subtracting equations to eliminate a variable
S² - where s = length of a side
Linear functions

17. Perimeter (circumference) of a circle
Opposite ÷ adjacent
The distance across the circle through the center of the circle.The diameter is twice the radius.
2 pi r
Ab+ac

18. Zero
Ac+ad+bc+bd
When there is a horizontal line that has different x points - but the same y point
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(a-b)(a²+ab+b²)

19. Direct Variation
Any ordered pair in a system that makes all the equations true
(y2-y1)/(x2-x1)
A=bh
y=kx

20. Inverse Variation
When the system of equations have the same slope and y-intercept
A=?r2
y=k/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.

21. Dividing by a negative number in an inequality
A segment connecting the center of a circle to any point on the circle
When the system of equations have the same slope and y-intercept
You must flip the sign
(a-b)(a²+ab+b²)

22. a³-b³
?r²
y=k/x
Shade upwards or to the right
(a-b)(a²+ab+b²)

23. Standard form
C =?d
Opposite ÷ hypotenuse
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
S² - where s = length of a side

24. Infinitely many solutions
You must flip the sign
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.
Ab+ac
When the system of equations have the same slope and y-intercept

25. a²-2ab+b²
(a-b)²
y=x or f(x)=x
y-y1=m(x-x1)
Ab+ac

26. Absolute value equation
When the system of equations have the same slope and y-intercept
½(b1 +b2) x h [or (b1 +b2) x h÷2]
y=mx+b
A V-shaped graph that points upward of downward

27. Circumference of a circle
?d OR 2?r
Shade downwards or to the left
x°/360 times (2 pi r) - where x is the degrees in the angle
C =?d

28. Elimination method
Shade downwards or to the left
y=x or f(x)=x
When the system of equations have the same slope but different y-intercepts
Solving systems by adding or subtracting equations to eliminate a variable

29. No solution
The distance from one point on the circle to another point on the circle.
When the system of equations have the same slope but different y-intercepts
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.

30. Slope-Intercept
An ange whose vertex is the center of the circle
Always
y=kx
y=mx+b

31. Area of a circle
?r²
A V-shaped graph that points upward of downward
y=x or f(x)=x
Opposite ÷ adjacent

32. Graphing = or > on a coordinate plane
x°/360 times (?r²) - where x is the degrees in the angle
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
Shade upwards or to the right
Any ordered pair in a system that makes all the equations true

33. A parent function is the simplest ____________ of a function
-b±[vb²-4ac]/2a
Equation
C =?d
When the system of equations have the same slope but different y-intercepts

34. cosine ratio
Adjacent ÷ hypotenuse
A=bh
y-y1=m(x-x1)
C =?d

35. Circle
Dotted line
When there is a vertical line that has different y points - but the same x point
x°/360 times (2 pi r) - 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).

36. Solution of the system of linear equations
(a+b)²
An ange whose vertex is the center of the circle
Any ordered pair in a system that makes all the equations true
(a-b)²

37. Quadratic Formula
Part of a circle connecting two points on the circle.
The distance from one point on the circle to another point on the circle.
-b±[vb²-4ac]/2a
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.

38. a²+2ab+b²
Solving systems by adding or subtracting equations to eliminate a variable
Solid line
(a+b)²
When there is a vertical line that has different y points - but the same x point

39. Undefined
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Ac+ad+bc+bd
When there is a vertical line that has different y points - but the same x point
Replacing one variable with an equivalent expression containing the other variable

40. Graphing method
Adjacent ÷ hypotenuse
Linear functions
Ab+ac
Graphing the system of equations and finding the point at which they intersect

41. Substitution method
A V-shaped graph that points upward of downward
Replacing one variable with an equivalent expression containing the other variable
y=kx
x°/360 times (?r²) - where x is the degrees in the angle

42. Point-Slope form
When the system of equations have different slopes
x°/360 times (2 pi r) - where x is the degrees in the angle
Shade downwards or to the left
y-y1=m(x-x1)

43. Sector
y=x or f(x)=x
Linear functions
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.

44. A function is ___________ a relation
A=?r2
Shade downwards or to the left
When the system of equations have the same slope but different y-intercepts
Always

45. Area of a trapezoid
A=?r2
When the system of equations have the same slope but different y-intercepts
Equation
½(b1 +b2) x h [or (b1 +b2) x h÷2]

46. All direct variations are ____________________
A=?r2
Linear functions
Equation
Is the set of points which are all the same distance (its radius) from a certian point( the center).

47. Slope intercept form
Graphing the system of equations and finding the point at which they intersect
Ac+ad+bc+bd
y=mx+b
Opposite ÷ adjacent

48. a(b+c)
An ange whose vertex is the center of the circle
C =?d
Ab+ac
Shade downwards or to the left

49. Area of a square
Shade downwards or to the left
-b±[vb²-4ac]/2a
(a+b)(a²-ab+b²)
S² - where s = length of a side

50. a²-b²
S² - where s = length of a side
½(b1 +b2) x h [or (b1 +b2) x h÷2]
When there is a vertical line that has different y points - but the same x point
(a-b)(a+b)