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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 segment connecting the center of a circle to any point on the circle
-b±[vb²-4ac]/2a
y=kx
When the system of equations have different slopes

2. Perimeter of a rectangle
Shade downwards or to the left
(a+b)(a²-ab+b²)
2Length + 2width [or (length + width) x 2]
Linear functions

3. Sector
The distance from one point on the circle to another point on the circle.
Shade downwards or to the left
(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.

4. A parent function is the simplest ____________ of a function
Graphing the system of equations and finding the point at which they intersect
Equation
When there is a vertical line that has different y points - but the same x point
(a-b)²

5. Direct Variation
Adjacent ÷ hypotenuse
Ab+ac
½(base x height) [or (base x height)÷2]
y=kx

6. a³+b³
Replacing one variable with an equivalent expression containing the other variable
Shade downwards or to the left
(a+b)(a²-ab+b²)
Shade upwards or to the right

7. a²+2ab+b²
(a+b)²
y=k/x
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
?r²

8. Area of a sector
2Length + 2width [or (length + width) x 2]
x°/360 times (?r²) - where x is the degrees in the angle
4s (where s = length of a side)
(a-b)(a²+ab+b²)

9. Perimeter of a square
x°/360 times (?r²) - where x is the degrees in the angle
Dotted line
4s (where s = length of a side)
?r²

10. Radius (Radii)
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
When there is a vertical line that has different y points - but the same x point
x°/360 times (?r²) - where x is the degrees in the angle

11. Circumference Formula
Ab+ac
Graphing the system of equations and finding the point at which they intersect
2Length + 2width [or (length + width) x 2]
C =?d

12. Central Angle
Solid line
?r²
An ange whose vertex is the center of the circle
(a+b)(a²-ab+b²)

13. Circle
2Length + 2width [or (length + width) x 2]
Is the set of points which are all the same distance (its radius) from a certian point( the center).
(y2-y1)/(x2-x1)
C =?d

14. Substitution method
Replacing one variable with an equivalent expression containing the other variable
Part of a circle connecting two points on the circle.
A V-shaped graph that points upward of downward
Opposite ÷ hypotenuse

15. Arc
Part of a circle connecting two points on the circle.
A=?r2
When the system of equations have the same slope and y-intercept
½(b1 +b2) x h [or (b1 +b2) x h÷2]

16. Slope intercept form
y=mx+b
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).
?r²

17. Inverse Variation
y=k/x
Ac+ad+bc+bd
Always
Is the set of points which are all the same distance (its radius) from a certian point( the center).

18. Graphing = or > on a coordinate plane
Shade upwards or to the right
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Adjacent ÷ hypotenuse
y=mx+b

19. Graphing = or = on a coordinate plane
The distance from one point on the circle to another point on the circle.
½(base x height) [or (base x height)÷2]
Solid line
Any ordered pair in a system that makes all the equations true

20. Area of a trapezoid
The distance across the circle through the center of the circle.The diameter is twice the radius.
(y2-y1)/(x2-x1)
y-y1=m(x-x1)
½(b1 +b2) x h [or (b1 +b2) x h÷2]

21. Area of a circle
2 pi r
?r²
Replacing one variable with an equivalent expression containing the other variable
y-y1=m(x-x1)

22. length of a sector
4s (where s = length of a side)
An ange whose vertex is the center of the circle
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).

23. Linear parent function
-b±[vb²-4ac]/2a
y=x or f(x)=x
Linear functions
Ac+ad+bc+bd

24. Absolute value equation
(a-b)(a²+ab+b²)
Opposite ÷ adjacent
C =?d
A V-shaped graph that points upward of downward

25. Infinitely many solutions
When the system of equations have the same slope and y-intercept
Is the set of points which are all the same distance (its radius) from a certian point( the center).
½(base x height) [or (base x height)÷2]
Graphs

26. Area of Circles
Ab+ac
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
A=?r2

27. One solution
When the system of equations have different slopes
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
?r²

28. Circumference of a circle
When there is a horizontal line that has different x points - but the same y point
?d OR 2?r
y=x or f(x)=x
(a+b)(a²-ab+b²)

29. Zero
A=bh
Solid line
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.

30. Undefined
Solving systems by adding or subtracting equations to eliminate a variable
Graphs
When there is a vertical line that has different y points - but the same x point
C =?d

31. Graphing = or < on a coordinate plane
When the system of equations have the same slope and y-intercept
x°/360 times (2 pi r) - where x is the degrees in the angle
Shade downwards or to the left
Solving systems by adding or subtracting equations to eliminate a variable

32. Point-Slope form
y-y1=m(x-x1)
2 pi r
When there is a horizontal line that has different x points - but the same y point
Is the set of points which are all the same distance (its radius) from a certian point( the center).

33. Elimination method
Equation
Graphing the system of equations and finding the point at which they intersect
Solid line
Solving systems by adding or subtracting equations to eliminate a variable

34. Standard form
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 shift of a graph horizontally - vertically - or both - which results in a graph of the same shape and size - but in a different position.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
½(base x height) [or (base x height)÷2]

35. a²-2ab+b²
4s (where s = length of a side)
y=k/x
½(base x height) [or (base x height)÷2]
(a-b)²

36. a²-b²
(a-b)²
(a-b)(a+b)
When the system of equations have the same slope and y-intercept
2 pi r

37. Chord
Graphs
y=mx+b
y=mx+b
The distance from one point on the circle to another point on the circle.

38. A function is ___________ a relation
-b±[vb²-4ac]/2a
½(b1 +b2) x h [or (b1 +b2) x h÷2]
y-y1=m(x-x1)
Always

39. Perimeter (circumference) of a circle
2Length + 2width [or (length + width) x 2]
2 pi r
?d OR 2?r
(a-b)²

40. Graphing method
y=kx
Graphing the system of equations and finding the point at which they intersect
-b±[vb²-4ac]/2a
Adjacent ÷ hypotenuse

41. Solution of the system of linear equations
When there is a vertical line that has different y points - but the same x point
Shade downwards or to the left
Any ordered pair in a system that makes all the equations true
y=mx+b

42. a³-b³
(a-b)(a²+ab+b²)
Ab+ac
When the system of equations have the same slope but different y-intercepts
Is the set of points which are all the same distance (its radius) from a certian point( the center).

43. Area of rectangle - square - parallelogram
A=bh
Linear functions
Part of a circle connecting two points on the circle.
When the system of equations have the same slope and y-intercept

44. sine ratio
When there is a horizontal line that has different x points - but the same y point
Opposite ÷ 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.
2Length + 2width [or (length + width) x 2]

45. Slope-Intercept
S² - where s = length of a side
A=bh
(a+b)²
y=mx+b

46. Graphing < or > on a coordinate plane
Dotted line
y-y1=m(x-x1)
A=?r2
A segment connecting the center of a circle to any point on the circle

47. No solution
Part of a circle connecting two points on the circle.
When the system of equations have the same slope but different y-intercepts
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.

48. cosine ratio
Adjacent ÷ hypotenuse
(a+b)²
Solid line
y=mx+b

49. Dividing by a negative number in an inequality
Replacing one variable with an equivalent expression containing the other variable
y=kx
You must flip the sign
Any ordered pair in a system that makes all the equations true

50. Area of a triangle
When there is a vertical line that has different y points - but the same x point
Shade upwards or to the right
½(base x height) [or (base x height)÷2]
The distance across the circle through the center of the circle.The diameter is twice the radius.