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

2. Dividing by a negative number in an inequality
An ange whose vertex is the center of the circle
y=mx+b
x°/360 times (2 pi r) - where x is the degrees in the angle
You must flip the sign

3. Graphing = or > on a coordinate plane
Shade upwards or to the right
y=mx+b
A segment connecting the center of a circle to any point on the circle
Solid line

4. Graphing = or = on a coordinate plane
Solid line
y=kx
An ange whose vertex is the center of the circle
Linear functions

5. Solution of the system of linear equations
The distance across the circle through the center of the circle.The diameter is twice the radius.
When there is a horizontal line that has different x points - but the same y point
Any ordered pair in a system that makes all the equations true
Always

6. Graphing = or < on a coordinate plane
y=kx
x°/360 times (?r²) - where x is the degrees in the angle
Shade downwards or to the left
When the system of equations have the same slope but different y-intercepts

7. a²-b²
½(b1 +b2) x h [or (b1 +b2) x h÷2]
A V-shaped graph that points upward of downward
(a-b)(a+b)
The distance across the circle through the center of the circle.The diameter is twice the radius.

8. A parent function is the simplest ____________ of a function
2Length + 2width [or (length + width) x 2]
Shade downwards or to the left
Equation
2 pi r

9. Circumference of a circle
Replacing one variable with an equivalent expression containing the other variable
?d OR 2?r
y-y1=m(x-x1)
When there is a horizontal line that has different x points - but the same y point

10. Linear parent function
Shade upwards or to the right
A=bh
y=x or f(x)=x
When the system of equations have the same slope and y-intercept

11. tangent ratio
(y2-y1)/(x2-x1)
Opposite ÷ hypotenuse
y=mx+b
Opposite ÷ adjacent

12. Point-Slope form
y-y1=m(x-x1)
When the system of equations have the same slope and y-intercept
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.
4s (where s = length of a side)

13. Area of a trapezoid
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(a-b)²
(a-b)(a²+ab+b²)
-b±[vb²-4ac]/2a

14. No solution
y=mx+b
½(b1 +b2) x h [or (b1 +b2) x h÷2]
When the system of equations have the same slope but different y-intercepts
y=x or f(x)=x

15. Slope intercept form
x°/360 times (2 pi r) - where x is the degrees in the angle
y=mx+b
?r²
y=k/x

16. All direct variations are ____________________
(y2-y1)/(x2-x1)
Shade upwards or to the right
Linear functions
(a+b)²

17. Central Angle
A V-shaped graph that points upward of downward
A=?r2
y=mx+b
An ange whose vertex is the center of the circle

18. Area of a sector
-b±[vb²-4ac]/2a
The distance across the circle through the center of the circle.The diameter is twice the radius.
x°/360 times (?r²) - where x is the degrees in the angle
y=mx+b

19. Area of Circles
(a+b)²
A=?r2
y=x or f(x)=x
When the system of equations have different slopes

20. Diameter
(y2-y1)/(x2-x1)
Graphing the system of equations and finding the point at which they intersect
(a+b)(a²-ab+b²)
The distance across the circle through the center of the circle.The diameter is twice the radius.

21. Perimeter of a square
(a+b)(a²-ab+b²)
4s (where s = length of a side)
y=mx+b
(a-b)²

22. Radius (Radii)
Linear functions
A segment connecting the center of a circle to any point on the circle
Ab+ac
(a+b)²

23. Infinitely many solutions
An ange whose vertex is the center of the circle
When the system of equations have the same slope and y-intercept
S² - where s = length of a side
?r²

24. Graphing < or > on a coordinate plane
x°/360 times (2 pi r) - where x is the degrees in the angle
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.
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
Dotted line

25. a²+2ab+b²
(a+b)²
Part of a circle connecting two points on the circle.
(a-b)(a²+ab+b²)
y=kx

26. Standard form
4s (where s = length of a side)
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
Solid line

27. Zero
When there is a horizontal line that has different x points - but the same y point
Ac+ad+bc+bd
(y2-y1)/(x2-x1)
Dotted line

28. Elimination method
y-y1=m(x-x1)
You must flip the sign
Solving systems by adding or subtracting equations to eliminate a variable
Shade downwards or to the left

29. Chord
Solving systems by adding or subtracting equations to eliminate a variable
x°/360 times (?r²) - where x is the degrees in the angle
2Length + 2width [or (length + width) x 2]
The distance from one point on the circle to another point on the circle.

30. Arc
Part of a circle connecting two points on the circle.
y=kx
Solid line
Opposite ÷ hypotenuse

31. Area of a triangle
C =?d
Ac+ad+bc+bd
½(base x height) [or (base x height)÷2]
Solving systems by adding or subtracting equations to eliminate a variable

32. Undefined
Solving systems by adding or subtracting equations to eliminate a variable
When there is a vertical line that has different y points - but the same x point
Opposite ÷ hypotenuse
(y2-y1)/(x2-x1)

33. Area of rectangle - square - parallelogram
A=?r2
2 pi r
A=bh
Any ordered pair in a system that makes all the equations true

34. A linear function is a function that _____________ a line
(y2-y1)/(x2-x1)
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.
Graphs

35. Perimeter of a rectangle
Opposite ÷ adjacent
Any ordered pair in a system that makes all the equations true
2Length + 2width [or (length + width) x 2]
A=bh

36. sine ratio
Opposite ÷ hypotenuse
2 pi r
A segment connecting the center of a circle to any point on the circle
y=mx+b

37. A function is ___________ a relation
Equation
2Length + 2width [or (length + width) x 2]
Always
?d OR 2?r

38. One solution
Part of a circle connecting two points on the circle.
When the system of equations have different slopes
The distance from one point on the circle to another point on the circle.
x°/360 times (2 pi r) - where x is the degrees in the angle

39. Inverse Variation
Graphs
A=?r2
y=k/x
Is the set of points which are all the same distance (its radius) from a certian point( the center).

40. Direct Variation
(a-b)(a+b)
(a-b)²
y=kx
When the system of equations have the same slope and y-intercept

41. a²-2ab+b²
(a-b)²
Shade downwards or to the left
(a+b)(a²-ab+b²)
-b±[vb²-4ac]/2a

42. (a+b)(c+d)
Ac+ad+bc+bd
Graphing the system of equations and finding the point at which they intersect
½(base x height) [or (base x height)÷2]
-b±[vb²-4ac]/2a

43. a(b+c)
Opposite ÷ adjacent
Replacing one variable with an equivalent expression containing the other variable
Ab+ac
(a+b)(a²-ab+b²)

44. Graphing method
Graphing the system of equations and finding the point at which they intersect
Ab+ac
When the system of equations have the same slope and y-intercept
A V-shaped graph that points upward of downward

45. Quadratic Formula
Adjacent ÷ hypotenuse
x°/360 times (2 pi r) - where x is the degrees in the angle
A=?r2
-b±[vb²-4ac]/2a

46. cosine ratio
S² - where s = length of a side
Adjacent ÷ hypotenuse
The distance across the circle through the center of the circle.The diameter is twice the radius.
A V-shaped graph that points upward of downward

47. Circle
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Always
y=x or f(x)=x
S² - where s = length of a side

48. Circumference Formula
C =?d
A=bh
?r²
Solid line

49. Sector
Linear functions
2 pi r
2Length + 2width [or (length + width) x 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.

50. Area of a square
(a+b)²
y=mx+b
2Length + 2width [or (length + width) x 2]
S² - where s = length of a side