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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. Absolute value equation
?r²
The distance across the circle through the center of the circle.The diameter is twice the radius.
A V-shaped graph that points upward of downward
x°/360 times (2 pi r) - where x is the degrees in the angle

2. Area of a triangle
y=k/x
Linear functions
½(base x height) [or (base x height)÷2]
A segment connecting the center of a circle to any point on the circle

3. Undefined
Graphs
When there is a vertical line that has different y points - but the same x point
A=?r2
(a-b)²

4. a³+b³
(a+b)(a²-ab+b²)
?d OR 2?r
An ange whose vertex is the center of the circle
A V-shaped graph that points upward of downward

5. a(b+c)
Ab+ac
y=x or f(x)=x
y-y1=m(x-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.

6. Inverse Variation
Part of a circle connecting two points on the circle.
y=k/x
½(base x height) [or (base x height)÷2]
(a+b)²

7. Standard form
(a-b)²
y=mx+b
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

8. Zero
When there is a horizontal line that has different x points - but the same y point
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
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. Elimination method
Solving systems by adding or subtracting equations to eliminate a variable
Adjacent ÷ hypotenuse
y=mx+b
x°/360 times (?r²) - where x is the degrees in the angle

10. Point-Slope form
When the system of equations have the same slope but different y-intercepts
A segment connecting the center of a circle to any point on the circle
y-y1=m(x-x1)
-b±[vb²-4ac]/2a

11. A linear function is a function that _____________ a line
(a-b)(a²+ab+b²)
Graphing the system of equations and finding the point at which they intersect
(a+b)(a²-ab+b²)
Graphs

12. Circumference Formula
C =?d
Ab+ac
y=mx+b
(a-b)(a²+ab+b²)

13. length of a sector
(a+b)²
x°/360 times (2 pi r) - where x is the degrees in the angle
Dotted line
When there is a vertical line that has different y points - but the same x point

14. Area of a sector
y=mx+b
Adjacent ÷ hypotenuse
An ange whose vertex is the center of the circle
x°/360 times (?r²) - where x is the degrees in the angle

15. Area of Circles
S² - where s = length of a side
A segment connecting the center of a circle to any point on the circle
Part of a circle connecting two points on the circle.
A=?r2

16. Solution of the system of linear equations
When there is a vertical line that has different y points - but the same x point
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
?r²

17. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
(a-b)(a²+ab+b²)
Always
½(base x height) [or (base x height)÷2]

18. Perimeter of a rectangle
Graphing the system of equations and finding the point at which they intersect
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)²
2Length + 2width [or (length + width) x 2]

19. Central Angle
An ange whose vertex is the center of the circle
?r²
S² - where s = length of a side
When the system of equations have the same slope and y-intercept

20. Graphing < or > on a coordinate plane
Equation
2 pi r
Solid line
Dotted line

21. tangent ratio
(a-b)²
Opposite ÷ adjacent
Part of a circle connecting two points on the circle.
Replacing one variable with an equivalent expression containing the other variable

22. Perimeter of a square
You must flip the sign
Opposite ÷ hypotenuse
4s (where s = length of a side)
A V-shaped graph that points upward of downward

23. Area of rectangle - square - parallelogram
y=x or f(x)=x
(y2-y1)/(x2-x1)
A=bh
When there is a vertical line that has different y points - but the same x point

24. Slope-Intercept
Always
Equation
y-y1=m(x-x1)
y=mx+b

25. Dividing by a negative number in an inequality
Adjacent ÷ hypotenuse
You must flip the sign
A=bh
The distance from one point on the circle to another point on the circle.

26. Quadratic Formula
-b±[vb²-4ac]/2a
y=k/x
The distance from one point on the circle to another point on the circle.
C =?d

27. Graphing = or = on a coordinate plane
Is the set of points which are all the same distance (its radius) from a certian point( the center).
?r²
Equation
Solid line

28. No solution
When the system of equations have the same slope but different y-intercepts
Ac+ad+bc+bd
(a-b)(a²+ab+b²)
½(b1 +b2) x h [or (b1 +b2) x h÷2]

29. Circle
y=kx
(a-b)(a²+ab+b²)
Is the set of points which are all the same distance (its radius) from a certian point( the center).
C =?d

30. Infinitely many solutions
When the system of equations have the same slope and y-intercept
y=kx
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.
Adjacent ÷ hypotenuse

31. Radius (Radii)
A segment connecting the center of a circle to any point on the circle
An ange whose vertex is the center of the circle
Is the set of points which are all the same distance (its radius) from a certian point( the center).
A V-shaped graph that points upward of downward

32. Linear parent function
The distance across the circle through the center of the circle.The diameter is twice the radius.
You must flip the sign
½(base x height) [or (base x height)÷2]
y=x or f(x)=x

33. Area of a square
x°/360 times (2 pi r) - where x is the degrees in the angle
S² - where s = length of a side
Is the set of points which are all the same distance (its radius) from a certian point( the center).
x°/360 times (?r²) - where x is the degrees in the angle

34. Direct Variation
A V-shaped graph that points upward of downward
When the system of equations have different slopes
y=k/x
y=kx

35. 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.
y-y1=m(x-x1)
x°/360 times (?r²) - where x is the degrees in the angle
When there is a vertical line that has different y points - but the same x point

36. a³-b³
(a-b)(a²+ab+b²)
-b±[vb²-4ac]/2a
Solving systems by adding or subtracting equations to eliminate a variable
x°/360 times (?r²) - where x is the degrees in the angle

37. (a+b)(c+d)
Ac+ad+bc+bd
y=k/x
y=kx
Always

38. sine ratio
Opposite ÷ hypotenuse
Any ordered pair in a system that makes all the equations true
Always
x°/360 times (2 pi r) - where x is the degrees in the angle

39. Circumference of a circle
You must flip the sign
?d OR 2?r
Solid line
Opposite ÷ hypotenuse

40. Perimeter (circumference) of a circle
Solid line
2 pi r
Opposite ÷ hypotenuse
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. a²-b²
C =?d
Solid line
(a-b)(a+b)
y=kx

42. Slope
Graphing the system of equations and finding the point at which they intersect
Linear functions
C =?d
(y2-y1)/(x2-x1)

43. All direct variations are ____________________
Opposite ÷ hypotenuse
Opposite ÷ adjacent
x°/360 times (2 pi r) - where x is the degrees in the angle
Linear functions

44. a²+2ab+b²
A=?r2
You must flip the sign
(a+b)²
x°/360 times (2 pi r) - where x is the degrees in the angle

45. Area of a trapezoid
(y2-y1)/(x2-x1)
Equation
2 pi r
½(b1 +b2) x h [or (b1 +b2) x h÷2]

46. Chord
Solving systems by adding or subtracting equations to eliminate a variable
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.
y-y1=m(x-x1)

47. Graphing method
Graphing the system of equations and finding the point at which they intersect
Is the set of points which are all the same distance (its radius) from a certian point( the center).
(a-b)(a+b)
C =?d

48. Arc
Part of a circle connecting two points on the circle.
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
(y2-y1)/(x2-x1)

49. Sector
2Length + 2width [or (length + width) x 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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
½(base x height) [or (base x height)÷2]

50. One solution
2Length + 2width [or (length + width) x 2]
Linear functions
When the system of equations have different slopes
Solid line