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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. a(b+c)
Ab+ac
(a+b)(a²-ab+b²)
2Length + 2width [or (length + width) x 2]
y-y1=m(x-x1)

2. Central Angle
Is the set of points which are all the same distance (its radius) from a certian point( the center).
(a+b)²
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.
An ange whose vertex is the center of the circle

3. Translation
Solving systems by adding or subtracting equations to eliminate a variable
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.
Equation
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

4. Area of a square
Graphing the system of equations and finding the point at which they intersect
S² - where s = length of a side
?r²
Ac+ad+bc+bd

5. Slope-Intercept
Adjacent ÷ hypotenuse
An ange whose vertex is the center of the circle
y=mx+b
When there is a horizontal line that has different x points - but the same y point

6. tangent ratio
Solid line
(y2-y1)/(x2-x1)
Opposite ÷ adjacent
?d OR 2?r

7. Perimeter (circumference) of a circle
2 pi r
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 the system of equations have the same slope but different y-intercepts
(a+b)(a²-ab+b²)

8. Linear parent function
Dotted line
You must flip the sign
y=x or f(x)=x
Solid line

9. Standard form
(y2-y1)/(x2-x1)
When the system of equations have the same slope and y-intercept
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

10. a²-2ab+b²
(a+b)²
When the system of equations have the same slope and y-intercept
(a-b)²
½(b1 +b2) x h [or (b1 +b2) x h÷2]

11. Chord
Solving systems by adding or subtracting equations to eliminate a variable
Graphing the system of equations and finding the point at which they intersect
The distance from one point on the circle to another point on the circle.
y=mx+b

12. length of a sector
(a-b)²
½(base x height) [or (base x height)÷2]
2 pi r
x°/360 times (2 pi r) - where x is the degrees in the angle

13. (a+b)(c+d)
Ac+ad+bc+bd
Equation
½(b1 +b2) x h [or (b1 +b2) x h÷2]
You must flip the sign

14. Area of a trapezoid
A=?r2
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(a+b)²
An ange whose vertex is the center of the circle

15. Slope intercept form
Opposite ÷ hypotenuse
Part of a circle connecting two points on the circle.
y=mx+b
½(base x height) [or (base x height)÷2]

16. Area of a circle
Shade downwards or to the left
y=mx+b
2 pi r
?r²

17. Undefined
Linear functions
When the system of equations have the same slope but different y-intercepts
Ac+ad+bc+bd
When there is a vertical line that has different y points - but the same x point

18. a³+b³
-b±[vb²-4ac]/2a
A segment connecting the center of a circle to any point on the circle
When the system of equations have the same slope but different y-intercepts
(a+b)(a²-ab+b²)

19. Radius (Radii)
A segment connecting the center of a circle to any point on the circle
y=x or f(x)=x
y=kx
½(b1 +b2) x h [or (b1 +b2) x h÷2]

20. Graphing = or < on a coordinate plane
Dotted line
(a-b)²
Solid line
Shade downwards or to the left

21. Quadratic Formula
Graphs
x°/360 times (?r²) - 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).
-b±[vb²-4ac]/2a

22. Area of Circles
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.
?d OR 2?r
½(b1 +b2) x h [or (b1 +b2) x h÷2]
A=?r2

23. cosine ratio
You must flip the sign
Graphing the system of equations and finding the point at which they intersect
y=mx+b
Adjacent ÷ hypotenuse

24. Absolute value equation
Shade upwards or to the right
y=mx+b
A V-shaped graph that points upward of downward
Ac+ad+bc+bd

25. a²+2ab+b²
(a+b)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.
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

26. Infinitely many solutions
2 pi r
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.
(a+b)²
When the system of equations have the same slope and y-intercept

27. Graphing = or > on a coordinate plane
When the system of equations have the same slope and y-intercept
½(base x height) [or (base x height)÷2]
Shade upwards or to the right
Linear functions

28. Area of a sector
The distance across the circle through the center of the circle.The diameter is twice the radius.
y=k/x
A segment connecting the center of a circle to any point on the circle
x°/360 times (?r²) - where x is the degrees in the angle

29. A function is ___________ a relation
y=kx
Shade upwards or to the right
Always
A V-shaped graph that points upward of downward

30. A parent function is the simplest ____________ of a function
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.
y=x or f(x)=x
y-y1=m(x-x1)
Equation

31. Elimination method
Solving systems by adding or subtracting equations to eliminate a variable
y=k/x
Graphing the system of equations and finding the point at which they intersect
Solid line

32. Area of a triangle
(a-b)²
Part of a circle connecting two points on the circle.
½(base x height) [or (base x height)÷2]
Ab+ac

33. sine ratio
Graphing the system of equations and finding the point at which they intersect
When the system of equations have the same slope but different y-intercepts
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

34. Graphing = or = on a coordinate plane
(y2-y1)/(x2-x1)
Ab+ac
Solid line
An ange whose vertex is the center of the circle

35. a³-b³
(a-b)(a²+ab+b²)
Dotted line
C =?d
?r²

36. Arc
You must flip the sign
2 pi r
Part of a circle connecting two points on the circle.
Graphs

37. All direct variations are ____________________
Linear functions
Ac+ad+bc+bd
y=mx+b
Part of a circle connecting two points on the circle.

38. Dividing by a negative number in an inequality
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Solid line
Part of a circle connecting two points on the circle.
You must flip the sign

39. Circumference of a circle
?d OR 2?r
?r²
x°/360 times (?r²) - where x is the degrees in the angle
y=kx

40. Direct Variation
Shade downwards or to the left
y=kx
?r²
2Length + 2width [or (length + width) x 2]

41. Slope
Solving systems by adding or subtracting equations to eliminate a variable
(a-b)(a²+ab+b²)
(y2-y1)/(x2-x1)
When there is a vertical line that has different y points - but the same x point

42. A linear function is a function that _____________ a line
Graphs
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.
x°/360 times (2 pi r) - where x is the degrees in the angle
When the system of equations have the same slope and y-intercept

43. Solution of the system of linear equations
Any ordered pair in a system that makes all the equations true
A segment connecting the center of a circle to any point on 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
Part of a circle connecting two points on the circle.

44. Circumference Formula
The distance from one point on the circle to another point on the circle.
2 pi r
(a-b)(a+b)
C =?d

45. Perimeter of a rectangle
2Length + 2width [or (length + width) x 2]
Ab+ac
Part of a circle connecting two points on the circle.
A=bh

46. Area of rectangle - square - parallelogram
(y2-y1)/(x2-x1)
x°/360 times (?r²) - where x is the degrees in the angle
A V-shaped graph that points upward of downward
A=bh

47. Circle
½(base x height) [or (base x height)÷2]
Is the set of points which are all the same distance (its radius) from a certian point( the center).
(a-b)(a²+ab+b²)
When the system of equations have the same slope but different y-intercepts

48. Point-Slope form
y-y1=m(x-x1)
An ange whose vertex is the center of the circle
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(base x height) [or (base x height)÷2]

49. a²-b²
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).
When there is a vertical line that has different y points - but the same x point
(a-b)(a+b)

50. Sector
x°/360 times (2 pi r) - where x is the degrees in the angle
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.
y-y1=m(x-x1)