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SAT and Act Math Formulas

Subjects : sat, act, math

Instructions:

Answer 50 questions in 15 minutes.
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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. Slope
Ac+ad+bc+bd
(y2-y1)/(x2-x1)
You must flip the sign
Ab+ac

2. Perimeter of a square
Opposite adjacent
Adjacent hypotenuse
?r
4s (where s = length of a side)

3. Area of a triangle
y=x or f(x)=x
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-b)(a+ab+b)
(base x height) [or (base x height)2]

4. Substitution method
y-y1=m(x-x1)
(y2-y1)/(x2-x1)
When the system of equations have different slopes
Replacing one variable with an equivalent expression containing the other variable

5. Quadratic Formula
When the system of equations have the same slope but different y-intercepts
-b[vb-4ac]/2a
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Graphing the system of equations and finding the point at which they intersect

6. cosine ratio
Adjacent hypotenuse
Always
When the system of equations have the same slope and y-intercept
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.

7. Dividing by a negative number in an inequality
You must flip the sign
?r
Equation
A=?r2

8. Area of a circle
A V-shaped graph that points upward of downward
?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.
Graphs

9. Sector
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-b)
(b1 +b2) x h [or (b1 +b2) x h2]
(a-b)(a+b)

10. Point-Slope form
y-y1=m(x-x1)
(base x height) [or (base x height)2]
?d OR 2?r
x/360 times (?r) - where x is the degrees in the angle

11. sine ratio
Dotted line
Shade upwards or to the right
(a-b)(a+b)
Opposite hypotenuse

12. Translation
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.
x/360 times (2 pi r) - where x is the degrees in the angle
Solving systems by adding or subtracting equations to eliminate a variable

13. Radius (Radii)
A segment connecting the center of a circle to any point on the circle
A=bh
(b1 +b2) x h [or (b1 +b2) x h2]
S - where s = length of a side

14. a(b+c)
Ac+ad+bc+bd
Part of a circle connecting two points on the circle.
Ab+ac
(a+b)(a-ab+b)

15. No solution
(a-b)(a+ab+b)
When the system of equations have the same slope but different y-intercepts
Shade upwards or to the right
Solving systems by adding or subtracting equations to eliminate a variable

16. All direct variations are ____________________
Replacing one variable with an equivalent expression containing the other variable
When there is a horizontal line that has different x points - but the same y point
Linear functions
(a+b)

17. Linear parent function
y=x or f(x)=x
Solving systems by adding or subtracting equations to eliminate a variable
y=k/x
Opposite adjacent

18. Solution of the system of linear equations
(a-b)
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
Linear functions

19. Slope intercept form
Equation
y=mx+b
Any ordered pair in a system that makes all the equations true
When the system of equations have the same slope and y-intercept

20. Graphing = or = on a coordinate plane
x/360 times (?r) - where x is the degrees in the angle
C =?d
Solid line
y=kx

21. Infinitely many solutions
Linear functions
When the system of equations have the same slope and y-intercept
(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).

22. a+2ab+b
(a+b)
C =?d
Graphing the system of equations and finding the point at which they intersect
2 pi r

23. Circle
Is the set of points which are all the same distance (its radius) from a certian point( the center).
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.
An ange whose vertex is the center of the circle
x/360 times (?r) - where x is the degrees in the angle

24. Perimeter of a rectangle
Opposite adjacent
2Length + 2width [or (length + width) x 2]
y=k/x
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.

25. Area of a trapezoid
Graphing the system of equations and finding the point at which they intersect
Opposite adjacent
(b1 +b2) x h [or (b1 +b2) x h2]
2Length + 2width [or (length + width) x 2]

26. Central Angle
Linear functions
An ange whose vertex is the center of the circle
S - 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

27. Chord
(a+b)(a-ab+b)
The distance from one point on the circle to another point on the circle.
Solving systems by adding or subtracting equations to eliminate a variable
(a-b)(a+b)

28. Graphing < or > on a coordinate plane
Dotted line
A=?r2
When the system of equations have the same slope but different y-intercepts
(a-b)(a+ab+b)

29. Perimeter (circumference) of a circle
2 pi r
y-y1=m(x-x1)
The distance across the circle through the center of the circle.The diameter is twice the radius.
(a-b)

30. a-2ab+b
(a-b)
(b1 +b2) x h [or (b1 +b2) x h2]
-b[vb-4ac]/2a
Shade upwards or to the right

31. Inverse Variation
(a+b)
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.
(base x height) [or (base x height)2]
y=k/x

32. A function is ___________ a relation
Replacing one variable with an equivalent expression containing the other variable
Always
Solving systems by adding or subtracting equations to eliminate a variable
A segment connecting the center of a circle to any point on the circle

33. Standard form
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)
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

34. Zero
Solid line
x/360 times (?r) - where x is the degrees in the angle
When there is a vertical line that has different y points - but the same x point
When there is a horizontal line that has different x points - but the same y point

35. Graphing = or > on a coordinate plane
-b[vb-4ac]/2a
Shade upwards or to the right
Equation
(a-b)(a+b)

36. Absolute value equation
When the system of equations have the same slope and y-intercept
(a-b)(a+ab+b)
y=x or f(x)=x
A V-shaped graph that points upward of downward

37. Circumference Formula
(a+b)
When the system of equations have different slopes
C =?d
When the system of equations have the same slope but different y-intercepts

38. Elimination method
(y2-y1)/(x2-x1)
x/360 times (2 pi r) - where x is the degrees in the angle
Solving systems by adding or subtracting equations to eliminate a variable
C =?d

39. Undefined
A=?r2
Solving systems by adding or subtracting equations to eliminate a variable
Opposite adjacent
When there is a vertical line that has different y points - but the same x point

40. A parent function is the simplest ____________ of a function
(b1 +b2) x h [or (b1 +b2) x h2]
?r
Equation
(a-b)

41. a-b
?d OR 2?r
When there is a vertical line that has different y points - but the same x point
-b[vb-4ac]/2a
(a-b)(a+ab+b)

42. Area of rectangle - square - parallelogram
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.
(y2-y1)/(x2-x1)
A=bh
Ac+ad+bc+bd

43. Area of a sector
A segment connecting the center of a circle to any point on the circle
x/360 times (?r) - where x is the degrees in the angle
y=k/x
?r

44. length of a sector
?r
x/360 times (2 pi r) - where x is the degrees in the angle
2 pi r
Opposite hypotenuse

45. A linear function is a function that _____________ a line
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.
The distance across the circle through the center of the circle.The diameter is twice the radius.
(a+b)(a-ab+b)
Graphs

46. One solution
Ab+ac
y=kx
Linear functions
When the system of equations have different slopes

47. (a+b)(c+d)
Always
Ac+ad+bc+bd
(base x height) [or (base x height)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.

48. tangent ratio
Solving systems by adding or subtracting equations to eliminate a variable
y-y1=m(x-x1)
Opposite adjacent
When the system of equations have the same slope and y-intercept

49. a-b
Any ordered pair in a system that makes all the equations true
Ab+ac
The distance across the circle through the center of the circle.The diameter is twice the radius.
(a-b)(a+b)

50. a+b
x/360 times (2 pi r) - where x is the degrees in the angle
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)(a-ab+b)
4s (where s = length of a side)

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SAT and Act Math Formulas

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