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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. Quadratic Formula
(a+b)²
y-y1=m(x-x1)
The distance from one point on the circle to another point on the circle.
-b±[vb²-4ac]/2a

2. a³+b³
S² - where s = length of a side
Graphs
(a+b)(a²-ab+b²)
Opposite ÷ hypotenuse

3. Area of rectangle - square - parallelogram
You must flip the sign
A=bh
Solid line
S² - where s = length of a side

4. Inverse Variation
Replacing one variable with an equivalent expression containing the other variable
A V-shaped graph that points upward of downward
2 pi r
y=k/x

5. a²-2ab+b²
When the system of equations have the same slope and y-intercept
When the system of equations have different slopes
(a-b)²
?d OR 2?r

6. All direct variations are ____________________
Graphing the system of equations and finding the point at which they intersect
An ange whose vertex is the center of the circle
The distance from one point on the circle to another point on the circle.
Linear functions

7. Elimination method
A segment connecting the center of a circle to any point on the circle
?d OR 2?r
Solving systems by adding or subtracting equations to eliminate a variable
The distance from one point on the circle to another point on the circle.

8. a(b+c)
?d OR 2?r
C =?d
A V-shaped graph that points upward of downward
Ab+ac

9. Slope
(y2-y1)/(x2-x1)
A V-shaped graph that points upward of downward
?r²
When the system of equations have the same slope but different y-intercepts

10. Perimeter of a square
4s (where s = length of a side)
Opposite ÷ adjacent
S² - where s = length of a side
y=k/x

11. Absolute value equation
(a+b)(a²-ab+b²)
Shade upwards or to the right
Adjacent ÷ hypotenuse
A V-shaped graph that points upward of downward

12. A parent function is the simplest ____________ of a function
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
Replacing one variable with an equivalent expression containing the other variable
(a-b)²

13. cosine ratio
Adjacent ÷ hypotenuse
Dotted line
C =?d
The distance across the circle through the center of the circle.The diameter is twice the radius.

14. One solution
(a+b)(a²-ab+b²)
When the system of equations have different slopes
Dotted line
Replacing one variable with an equivalent expression containing the other variable

15. Dividing by a negative number in an inequality
Replacing one variable with an equivalent expression containing the other variable
C =?d
You must flip the sign
S² - where s = length of a side

16. a²-b²
y=mx+b
Part of a circle connecting two points on the circle.
(a-b)(a+b)
When there is a horizontal line that has different x points - but the same y point

17. Point-Slope form
Ab+ac
y-y1=m(x-x1)
-b±[vb²-4ac]/2a
2 pi r

18. length of a sector
x°/360 times (2 pi r) - where x is the degrees in the angle
C =?d
Shade upwards or to the right
y=x or f(x)=x

19. Chord
y=mx+b
(y2-y1)/(x2-x1)
Ab+ac
The distance from one point on the circle to another point on the circle.

20. Linear parent function
Solving systems by adding or subtracting equations to eliminate a variable
You must flip the sign
y=x or f(x)=x
-b±[vb²-4ac]/2a

21. Infinitely many solutions
Ac+ad+bc+bd
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
When the system of equations have the same slope and y-intercept

22. Slope-Intercept
y=mx+b
Ac+ad+bc+bd
(y2-y1)/(x2-x1)
When the system of equations have different slopes

23. Solution of the system of linear equations
Shade upwards or to the right
Any ordered pair in a system that makes all the equations true
Part of a circle connecting two points on the circle.
½(b1 +b2) x h [or (b1 +b2) x h÷2]

24. Zero
(y2-y1)/(x2-x1)
(a-b)(a+b)
When there is a horizontal line that has different x points - but the same y point
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.

25. Graphing = or > on a coordinate plane
When there is a vertical line that has different y points - but the same x point
y=mx+b
Shade upwards or to the right
Adjacent ÷ hypotenuse

26. Circumference Formula
C =?d
You must flip the sign
2Length + 2width [or (length + width) x 2]
Ac+ad+bc+bd

27. Arc
Part of a circle connecting two points on the circle.
Solid line
(a-b)(a²+ab+b²)
Opposite ÷ adjacent

28. Translation
(a+b)²
?d OR 2?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.
You must flip the sign

29. Sector
?d OR 2?r
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.
C =?d
S² - where s = length of a side

30. A linear function is a function that _____________ a line
Shade downwards or to the left
(a-b)(a+b)
x°/360 times (2 pi r) - where x is the degrees in the angle
Graphs

31. Slope intercept form
When the system of equations have the same slope and y-intercept
2 pi r
y=mx+b
?r²

32. Graphing = or < on a coordinate plane
(y2-y1)/(x2-x1)
Shade downwards or to the left
Adjacent ÷ hypotenuse
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.

33. Radius (Radii)
S² - where s = length of a side
Graphs
A segment connecting the center of a circle to any point on the circle
(a-b)(a+b)

34. (a+b)(c+d)
Always
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Ac+ad+bc+bd
A segment connecting the center of a circle to any point on the circle

35. a²+2ab+b²
An ange whose vertex is the center of the circle
A=?r2
(a+b)²
Shade downwards or to the left

36. Direct Variation
y=kx
Adjacent ÷ hypotenuse
When there is a vertical line that has different y points - but the same x point
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.

37. Circumference of a circle
?d OR 2?r
Adjacent ÷ hypotenuse
The distance from one point on the circle to another point on the circle.
When there is a vertical line that has different y points - but the same x point

38. A function is ___________ a relation
Always
The distance across the circle through the center of the circle.The diameter is twice the radius.
(a+b)(a²-ab+b²)
Opposite ÷ adjacent

39. a³-b³
Shade downwards or to the left
(a-b)²
(a+b)²
(a-b)(a²+ab+b²)

40. Area of a square
S² - where s = length of a side
y-y1=m(x-x1)
Graphs
(a+b)(a²-ab+b²)

41. sine ratio
(a+b)²
When the system of equations have the same slope and y-intercept
Opposite ÷ hypotenuse
(a-b)(a+b)

42. Substitution method
(a-b)(a²+ab+b²)
Replacing one variable with an equivalent expression containing the other variable
Always
Shade downwards or to the left

43. Standard form
?r²
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 downwards or to the left
When the system of equations have the same slope and y-intercept

44. Central Angle
An ange whose vertex is the center of the circle
Solid line
2Length + 2width [or (length + width) x 2]
(a-b)²

45. Area of a trapezoid
½(b1 +b2) x h [or (b1 +b2) x h÷2]
An ange whose vertex is the center of the circle
Solving systems by adding or subtracting equations to eliminate a variable
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

46. Graphing method
S² - where s = length of a side
(a-b)²
Graphing the system of equations and finding the point at which they intersect
Linear functions

47. Area of a circle
-b±[vb²-4ac]/2a
Equation
?r²
A segment connecting the center of a circle to any point on the circle

48. Area of a sector
Linear functions
x°/360 times (?r²) - where x is the degrees in the angle
When there is a horizontal line that has different x points - but the same y point
2Length + 2width [or (length + width) x 2]

49. Graphing = or = on a coordinate plane
Solid line
S² - where s = length of a side
2Length + 2width [or (length + width) x 2]
Shade upwards or to the right

50. tangent ratio
½(base x height) [or (base x height)÷2]
You must flip the sign
A=?r2
Opposite ÷ adjacent