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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 function is ___________ a relation
You must flip the sign
-b±[vb²-4ac]/2a
Always
½(b1 +b2) x h [or (b1 +b2) x h÷2]

2. Perimeter (circumference) of a circle
Adjacent ÷ hypotenuse
Solid line
2 pi r
C =?d

3. Graphing = or < on a coordinate plane
(a+b)²
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.
Shade downwards or to the left

4. Quadratic Formula
-b±[vb²-4ac]/2a
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).
?d OR 2?r

5. Inverse Variation
y-y1=m(x-x1)
y=kx
A segment connecting the center of a circle to any point on the circle
y=k/x

6. All direct variations are ____________________
Solid line
Solving systems by adding or subtracting equations to eliminate a variable
4s (where s = length of a side)
Linear functions

7. Central Angle
A segment connecting the center of a circle to any point on the circle
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
Opposite ÷ adjacent

8. One solution
Opposite ÷ adjacent
When the system of equations have different slopes
Linear functions
(a-b)(a²+ab+b²)

9. Substitution method
y=kx
Opposite ÷ hypotenuse
Replacing one variable with an equivalent expression containing the other variable
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.

10. Perimeter of a rectangle
x°/360 times (?r²) - where x is the degrees in the angle
?d OR 2?r
2Length + 2width [or (length + width) x 2]
Solving systems by adding or subtracting equations to eliminate a variable

11. Elimination method
y=kx
C =?d
Solving systems by adding or subtracting equations to eliminate a variable
?d OR 2?r

12. Radius (Radii)
Shade downwards or to the left
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 segment connecting the center of a circle to any point on the circle
Opposite ÷ hypotenuse

13. Dividing by a negative number in an inequality
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.
You must flip the sign
-b±[vb²-4ac]/2a
An ange whose vertex is the center of the circle

14. a³-b³
(y2-y1)/(x2-x1)
(a-b)(a²+ab+b²)
(a+b)²
y=mx+b

15. Zero
Shade upwards or to the right
When there is a horizontal line that has different x points - but the same y point
y=mx+b
Graphs

16. (a+b)(c+d)
Opposite ÷ adjacent
Ac+ad+bc+bd
y=x or f(x)=x
Dotted line

17. No solution
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
When the system of equations have the same slope but different y-intercepts
-b±[vb²-4ac]/2a

18. Circumference Formula
4s (where s = length of a side)
C =?d
Ac+ad+bc+bd
x°/360 times (2 pi r) - where x is the degrees in the angle

19. cosine ratio
(a-b)(a+b)
Adjacent ÷ hypotenuse
y=mx+b
Always

20. Area of Circles
Opposite ÷ hypotenuse
Ac+ad+bc+bd
A=?r2
Opposite ÷ adjacent

21. Graphing method
Ac+ad+bc+bd
Graphing the system of equations and finding the point at which they intersect
(a+b)²
x°/360 times (?r²) - where x is the degrees in the angle

22. A parent function is the simplest ____________ of a function
S² - where s = length of a side
Equation
4s (where s = length of a side)
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

23. length of a sector
½(base x height) [or (base x height)÷2]
x°/360 times (2 pi r) - where x is the degrees in the angle
C =?d
Adjacent ÷ hypotenuse

24. Area of a sector
(a-b)(a+b)
x°/360 times (?r²) - where x is the degrees in the angle
Always
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

25. Graphing = or > on a coordinate plane
C =?d
Part of a circle connecting two points on the circle.
2 pi r
Shade upwards or to the right

26. Chord
-b±[vb²-4ac]/2a
y=x or f(x)=x
(a+b)²
The distance from one point on the circle to another point on the circle.

27. Graphing < or > on a coordinate plane
A segment connecting the center of a circle to any point on the circle
C =?d
Ab+ac
Dotted line

28. Area of rectangle - square - parallelogram
C =?d
?r²
Solid line
A=bh

29. Standard form
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
½(b1 +b2) x h [or (b1 +b2) x h÷2]
S² - where s = length of a side

30. a²-b²
y=x or f(x)=x
You must flip the sign
Graphing the system of equations and finding the point at which they intersect
(a-b)(a+b)

31. Perimeter of a square
The distance from one point on the circle to another point on the circle.
An ange whose vertex is the center of the circle
Graphing the system of equations and finding the point at which they intersect
4s (where s = length of a side)

32. Slope intercept form
x°/360 times (2 pi r) - where x is the degrees in the angle
A=bh
y=mx+b
A V-shaped graph that points upward of downward

33. Circumference of a circle
The distance across the circle through the center of the circle.The diameter is twice the radius.
(a+b)²
Solid line
?d OR 2?r

34. Direct Variation
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)(a²+ab+b²)
-b±[vb²-4ac]/2a
y=kx

35. Slope-Intercept
(y2-y1)/(x2-x1)
Ac+ad+bc+bd
S² - where s = length of a side
y=mx+b

36. Solution of the system of linear equations
?r²
(a-b)²
A=?r2
Any ordered pair in a system that makes all the equations true

37. Point-Slope form
2Length + 2width [or (length + width) x 2]
Solving systems by adding or subtracting equations to eliminate a variable
When the system of equations have the same slope but different y-intercepts
y-y1=m(x-x1)

38. a²-2ab+b²
(a-b)²
½(base x height) [or (base x height)÷2]
-b±[vb²-4ac]/2a
S² - where s = length of a side

39. a²+2ab+b²
(a+b)²
Ab+ac
A V-shaped graph that points upward of downward
A=?r2

40. Diameter
Linear functions
The distance across the circle through the center of the circle.The diameter is twice the radius.
4s (where s = length of a side)
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

41. Sector
A=bh
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 there is a horizontal line that has different x points - but the same y point
y=k/x

42. Area of a square
When the system of equations have different slopes
S² - where s = length of a side
y-y1=m(x-x1)
(a-b)²

43. a³+b³
Always
Opposite ÷ adjacent
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(a+b)(a²-ab+b²)

44. sine ratio
Always
Opposite ÷ hypotenuse
y=k/x
4s (where s = length of a side)

45. a(b+c)
Solid line
When the system of equations have the same slope and y-intercept
Ab+ac
Is the set of points which are all the same distance (its radius) from a certian point( the center).

46. A linear function is a function that _____________ a line
Shade downwards or to the left
(a+b)(a²-ab+b²)
A segment connecting the center of a circle to any point on the circle
Graphs

47. Undefined
(a+b)²
?d OR 2?r
When there is a vertical line that has different y points - but the same x point
The distance from one point on the circle to another point on the circle.

48. Area of a triangle
½(base x height) [or (base x height)÷2]
When there is a horizontal line that has different x points - but the same y point
(a+b)²
x°/360 times (2 pi r) - where x is the degrees in the angle

49. Graphing = or = on a coordinate plane
Solid line
2Length + 2width [or (length + width) x 2]
A V-shaped graph that points upward of downward
½(b1 +b2) x h [or (b1 +b2) x h÷2]

50. tangent ratio
y=x or f(x)=x
-b±[vb²-4ac]/2a
Opposite ÷ adjacent
x°/360 times (?r²) - where x is the degrees in the angle