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

2. a³+b³
y-y1=m(x-x1)
When there is a horizontal line that has different x points - but the same y point
Part of a circle connecting two points on the circle.
(a+b)(a²-ab+b²)

3. Substitution method
Opposite ÷ hypotenuse
2 pi r
Replacing one variable with an equivalent expression containing the other variable
Any ordered pair in a system that makes all the equations true

4. Graphing = or > on a coordinate plane
(y2-y1)/(x2-x1)
x°/360 times (?r²) - where x is the degrees in the angle
Shade upwards or to the right
½(base x height) [or (base x height)÷2]

5. Area of rectangle - square - parallelogram
A=bh
½(base x height) [or (base x height)÷2]
2 pi r
C =?d

6. sine ratio
Replacing one variable with an equivalent expression containing the other variable
When the system of equations have the same slope and y-intercept
Solving systems by adding or subtracting equations to eliminate a variable
Opposite ÷ hypotenuse

7. cosine ratio
y=k/x
Adjacent ÷ hypotenuse
Graphing the system of equations and finding the point at which they intersect
2Length + 2width [or (length + width) x 2]

8. Area of Circles
A=?r2
y=x or f(x)=x
Always
(a-b)²

9. Sector
(a-b)(a²+ab+b²)
Part of a circle connecting two points on 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.
When the system of equations have the same slope and y-intercept

10. Area of a triangle
½(base x height) [or (base x height)÷2]
Linear functions
Graphs
Solid line

11. Standard form
(a-b)(a+b)
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
When the system of equations have different slopes
A=?r2

12. Central Angle
An ange whose vertex is the center of the circle
½(b1 +b2) x h [or (b1 +b2) x h÷2]
You must flip the sign
A V-shaped graph that points upward of downward

13. Absolute value equation
2Length + 2width [or (length + width) x 2]
y=x or f(x)=x
?r²
A V-shaped graph that points upward of downward

14. Area of a trapezoid
When there is a vertical line that has different y points - but the same x point
Part of a circle connecting two points on the circle.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(y2-y1)/(x2-x1)

15. Area of a sector
y=mx+b
When there is a horizontal line that has different x points - but the same y point
Dotted line
x°/360 times (?r²) - where x is the degrees in the angle

16. Circumference of a circle
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
(a-b)²
?d OR 2?r

17. Graphing = or = on a coordinate plane
Opposite ÷ hypotenuse
When the system of equations have different slopes
Solid line
(a+b)(a²-ab+b²)

18. Circumference Formula
C =?d
Is the set of points which are all the same distance (its radius) from a certian point( the center).
2 pi r
-b±[vb²-4ac]/2a

19. a³-b³
When the system of equations have the same slope but different y-intercepts
(a-b)(a²+ab+b²)
C =?d
(a+b)²

20. 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.
C =?d
When the system of equations have the same slope but different y-intercepts

21. Graphing = or < on a coordinate plane
x°/360 times (2 pi r) - where x is the degrees in the angle
y=mx+b
Shade downwards or to the left
?d OR 2?r

22. Linear parent function
y=x or f(x)=x
½(b1 +b2) x h [or (b1 +b2) x h÷2]
x°/360 times (?r²) - where x is the degrees in the angle
(a-b)(a+b)

23. Slope intercept form
Ac+ad+bc+bd
Graphing the system of equations and finding the point at which they intersect
Shade downwards or to the left
y=mx+b

24. a(b+c)
Ab+ac
Shade downwards or to the left
Opposite ÷ adjacent
S² - where s = length of a side

25. tangent ratio
Opposite ÷ adjacent
When there is a vertical line that has different y points - but the same x point
A segment connecting the center of a circle to any point on the circle
(a+b)(a²-ab+b²)

26. Undefined
Solving systems by adding or subtracting equations to eliminate a variable
When there is a vertical line that has different y points - but the same x point
(y2-y1)/(x2-x1)
½(b1 +b2) x h [or (b1 +b2) x h÷2]

27. Point-Slope form
Solving systems by adding or subtracting equations to eliminate a variable
y-y1=m(x-x1)
4s (where s = length of a side)
When the system of equations have the same slope and y-intercept

28. length of a sector
(a-b)²
The distance from one point on the circle to another point on the circle.
x°/360 times (2 pi r) - where x is the degrees in the angle
Solid line

29. 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
y=mx+b
Part of a circle connecting two points on the circle.

30. A linear function is a function that _____________ a line
Graphs
Shade upwards or to the right
2Length + 2width [or (length + width) x 2]
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

31. Arc
A segment connecting the center of a circle to any point on the circle
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.
Always

32. Area of a square
Adjacent ÷ hypotenuse
When there is a horizontal line that has different x points - but the same y point
S² - where s = length of a side
Equation

33. Diameter
(a+b)²
The distance across the circle through the center of the circle.The diameter is twice the radius.
When there is a horizontal line that has different x points - but the same y point
Opposite ÷ hypotenuse

34. Slope-Intercept
y=mx+b
Replacing one variable with an equivalent expression containing the other variable
You must flip the sign
When the system of equations have different slopes

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

36. Circle
Solid line
?r²
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.
Is the set of points which are all the same distance (its radius) from a certian point( the center).

37. Direct Variation
y-y1=m(x-x1)
y=kx
Graphs
Opposite ÷ hypotenuse

38. Dividing by a negative number in an inequality
(a-b)²
You must flip the sign
The distance across the circle through the center of the circle.The diameter is twice the radius.
Linear functions

39. (a+b)(c+d)
Linear functions
Always
The distance from one point on the circle to another point on the circle.
Ac+ad+bc+bd

40. Radius (Radii)
Replacing one variable with an equivalent expression containing the other variable
Adjacent ÷ hypotenuse
Solid line
A segment connecting the center of a circle to any point on the circle

41. Graphing method
?d OR 2?r
A=?r2
(a+b)²
Graphing the system of equations and finding the point at which they intersect

42. Perimeter of a rectangle
Shade upwards or to the right
2Length + 2width [or (length + width) x 2]
When there is a vertical line that has different y points - but the same x point
Graphs

43. a²-2ab+b²
Linear functions
S² - where s = length of a side
(a-b)²
Part of a circle connecting two points on the circle.

44. Chord
(a-b)(a²+ab+b²)
An ange whose vertex is the center of the circle
The distance from one point on the circle to another point on the circle.
Any ordered pair in a system that makes all the equations true

45. A function is ___________ a relation
Shade upwards or to the right
(a-b)(a²+ab+b²)
Always
Part of a circle connecting two points on the circle.

46. Zero
The distance from one point on the circle to another point on the circle.
Adjacent ÷ hypotenuse
When there is a horizontal line that has different x points - but the same y point
When the system of equations have different slopes

47. Area of a circle
?r²
When the system of equations have the same slope and y-intercept
S² - where s = length of a side
A=?r2

48. Graphing < or > on a coordinate plane
The distance from one point on the circle to another point on the circle.
y-y1=m(x-x1)
Dotted line
½(b1 +b2) x h [or (b1 +b2) x h÷2]

49. All direct variations are ____________________
Linear functions
You must flip the sign
Is the set of points which are all the same distance (its radius) from a certian point( the center).
(y2-y1)/(x2-x1)

50. Inverse Variation
The distance from one point on the circle to another point on the circle.
y=k/x
A segment connecting the center of a circle to any point on the circle
Any ordered pair in a system that makes all the equations true