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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. Perimeter (circumference) of a circle
Adjacent ÷ hypotenuse
2Length + 2width [or (length + width) x 2]
y=kx
2 pi r

2. Area of rectangle - square - parallelogram
y=x or f(x)=x
A=bh
4s (where s = length of a side)
Any ordered pair in a system that makes all the equations true

3. Solution of the system of linear equations
Any ordered pair in a system that makes all the equations true
When the system of equations have the same slope and y-intercept
When the system of equations have the same slope but different y-intercepts
y=x or f(x)=x

4. Dividing by a negative number in an inequality
Ac+ad+bc+bd
y=mx+b
You must flip the sign
Part of a circle connecting two points on the circle.

5. a²-b²
(a-b)(a+b)
-b±[vb²-4ac]/2a
y=mx+b
When there is a vertical line that has different y points - but the same x point

6. Chord
(a-b)(a²+ab+b²)
y=k/x
The distance from one point on the circle to another point on the circle.
Dotted line

7. A function is ___________ a relation
Always
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)²
Solving systems by adding or subtracting equations to eliminate a variable

8. Circumference of a circle
When the system of equations have the same slope and y-intercept
?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.
x°/360 times (2 pi r) - where x is the degrees in the angle

9. Direct Variation
Shade upwards or to the right
y=kx
C =?d
(a+b)²

10. Area of Circles
C =?d
A=?r2
(a-b)(a²+ab+b²)
A=bh

11. length of a sector
(a-b)²
The distance across the circle through the center of the circle.The diameter is twice the radius.
(a+b)(a²-ab+b²)
x°/360 times (2 pi r) - where x is the degrees in the angle

12. Graphing = or < on a coordinate plane
Ab+ac
Shade downwards or to the left
A segment connecting the center of a circle to any point on the circle
You must flip the sign

13. Slope
(y2-y1)/(x2-x1)
Ab+ac
A V-shaped graph that points upward of downward
y=x or f(x)=x

14. a²-2ab+b²
(a-b)²
Is the set of points which are all the same distance (its radius) from a certian point( the center).
-b±[vb²-4ac]/2a
Opposite ÷ adjacent

15. Zero
Solid line
y=mx+b
When there is a horizontal line that has different x points - but the same y point
A=bh

16. Graphing = or = on a coordinate plane
You must flip the sign
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.
Solid line
Opposite ÷ adjacent

17. Substitution method
An ange whose vertex is the center of the circle
When the system of equations have the same slope but different y-intercepts
Replacing one variable with an equivalent expression containing the other variable
Ac+ad+bc+bd

18. One solution
Solving systems by adding or subtracting equations to eliminate a variable
(a-b)(a²+ab+b²)
When the system of equations have different slopes
(a+b)²

19. Area of a circle
Solid line
½(b1 +b2) x h [or (b1 +b2) x h÷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.
?r²

20. No solution
Opposite ÷ adjacent
The distance from one point on the circle to another point on the circle.
When the system of equations have the same slope but different y-intercepts
(y2-y1)/(x2-x1)

21. Central Angle
An ange whose vertex is the center of the circle
4s (where s = length of a side)
Graphs
x°/360 times (?r²) - where x is the degrees in the angle

22. Translation
2 pi r
A=?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.
Opposite ÷ adjacent

23. (a+b)(c+d)
A=?r2
Ac+ad+bc+bd
The distance from one point on the circle to another point on the circle.
?r²

24. Perimeter of a square
Solid line
4s (where s = length of a side)
y=kx
Opposite ÷ hypotenuse

25. sine ratio
The distance from one point on the circle to another point on the circle.
Shade upwards or to the right
4s (where s = length of a side)
Opposite ÷ hypotenuse

26. Graphing = or > on a coordinate plane
Shade upwards or to the right
Opposite ÷ hypotenuse
When the system of equations have the same slope but different y-intercepts
A=bh

27. Inverse Variation
Linear functions
An ange whose vertex is the center of the circle
y=k/x
(a-b)(a+b)

28. Circumference Formula
A segment connecting the center of a circle to any point on the circle
C =?d
(a+b)(a²-ab+b²)
Shade downwards or to the left

29. Arc
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
Part of a circle connecting two points on the circle.
When the system of equations have the same slope and y-intercept
y-y1=m(x-x1)

30. Slope-Intercept
y=mx+b
A segment connecting the center of a circle to any point on the circle
2 pi r
x°/360 times (2 pi r) - where x is the degrees in the angle

31. a³+b³
(a-b)(a²+ab+b²)
(a+b)(a²-ab+b²)
2 pi r
A segment connecting the center of a circle to any point on the circle

32. a(b+c)
When there is a vertical line that has different y points - but the same x point
Ab+ac
(a-b)(a²+ab+b²)
Ac+ad+bc+bd

33. cosine ratio
Shade downwards or to the left
When the system of equations have the same slope but different y-intercepts
A V-shaped graph that points upward of downward
Adjacent ÷ hypotenuse

34. tangent ratio
x°/360 times (2 pi r) - where x is the degrees in the angle
When the system of equations have the same slope but different y-intercepts
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Opposite ÷ adjacent

35. Area of a square
Linear functions
S² - where s = length of a side
Solving systems by adding or subtracting equations to eliminate a variable
?d OR 2?r

36. Elimination method
When the system of equations have the same slope and y-intercept
Solving systems by adding or subtracting equations to eliminate a variable
(a-b)(a²+ab+b²)
y=x or f(x)=x

37. Linear parent function
You must flip the sign
Solving systems by adding or subtracting equations to eliminate a variable
y=x or f(x)=x
(a+b)(a²-ab+b²)

38. Diameter
(a-b)(a²+ab+b²)
The distance across the circle through the center of the circle.The diameter is twice the radius.
2 pi r
The distance from one point on the circle to another point on the circle.

39. Radius (Radii)
Replacing one variable with an equivalent expression containing the other variable
A segment connecting the center of a circle to any point on the circle
Always
(a-b)(a²+ab+b²)

40. Area of a trapezoid
y=x or f(x)=x
½(b1 +b2) x h [or (b1 +b2) x h÷2]
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).

41. Slope intercept form
When the system of equations have the same slope and y-intercept
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
y=mx+b

42. Perimeter of a rectangle
2Length + 2width [or (length + width) x 2]
A segment connecting the center of a circle to any point on the circle
Part of a circle connecting two points on the circle.
A=?r2

43. Graphing < or > on a coordinate plane
A V-shaped graph that points upward of downward
Ab+ac
Dotted line
Opposite ÷ hypotenuse

44. Area of a sector
x°/360 times (?r²) - where x is the degrees in the angle
y=kx
When the system of equations have the same slope and y-intercept
When the system of equations have the same slope but different y-intercepts

45. All direct variations are ____________________
When there is a horizontal line that has different x points - but the same y point
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
Linear functions
Is the set of points which are all the same distance (its radius) from a certian point( the center).

46. Infinitely many solutions
The distance from one point on the circle to another point on the circle.
y=kx
When the system of equations have the same slope and y-intercept
Graphing the system of equations and finding the point at which they intersect

47. a³-b³
?r²
Graphs
(a-b)(a²+ab+b²)
?d OR 2?r

48. A parent function is the simplest ____________ of a function
Part of a circle connecting two points on the circle.
A segment connecting the center of a circle to any point on the circle
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Equation

49. A linear function is a function that _____________ a line
Graphs
An ange whose vertex is the center of the circle
2 pi r
Solid line

50. a²+2ab+b²
y=x or f(x)=x
(a+b)²
A=?r2
When there is a horizontal line that has different x points - but the same y point