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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. All direct variations are ____________________
C =?d
-b±[vb²-4ac]/2a
When there is a vertical line that has different y points - but the same x point
Linear functions

2. Radius (Radii)
An ange whose vertex is the center of the circle
y=k/x
You must flip the sign
A segment connecting the center of a circle to any point on the circle

3. Graphing = or = on a coordinate plane
S² - where s = length of a side
2 pi r
Solid 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.

4. One solution
y-y1=m(x-x1)
4s (where s = length of a side)
Ac+ad+bc+bd
When the system of equations have different slopes

5. Linear parent function
Opposite ÷ hypotenuse
y=x or f(x)=x
When the system of equations have different slopes
4s (where s = length of a side)

6. Slope intercept form
Shade downwards or to the left
y=mx+b
y=kx
Opposite ÷ hypotenuse

7. Area of rectangle - square - parallelogram
A=bh
2 pi r
A V-shaped graph that points upward of downward
Solving systems by adding or subtracting equations to eliminate a variable

8. a³+b³
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
-b±[vb²-4ac]/2a
(a+b)(a²-ab+b²)
Shade downwards or to the left

9. cosine ratio
Adjacent ÷ hypotenuse
Solving systems by adding or subtracting equations to eliminate a variable
The distance across the circle through the center of the circle.The diameter is twice the radius.
When the system of equations have the same slope but different y-intercepts

10. Area of Circles
A=?r2
Any ordered pair in a system that makes all the equations true
Ab+ac
The distance from one point on the circle to another point on the circle.

11. Solution of the system of linear equations
Any ordered pair in a system that makes all the equations true
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
Shade upwards or to the right
A=?r2

12. Circle
Is the set of points which are all the same distance (its radius) from a certian point( the center).
4s (where s = length of a side)
An ange whose vertex is the center of the circle
When the system of equations have different slopes

13. Zero
4s (where s = length of a side)
x°/360 times (2 pi r) - where x is the degrees in the angle
y=x or f(x)=x
When there is a horizontal line that has different x points - but the same y point

14. No solution
When the system of equations have the same slope but different y-intercepts
Graphs
(a-b)(a+b)
y=mx+b

15. Translation
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.
Solving systems by adding or subtracting equations to eliminate a variable
Ab+ac
(a-b)²

16. A linear function is a function that _____________ a line
Graphs
Linear functions
Solid line
2Length + 2width [or (length + width) x 2]

17. Slope
(y2-y1)/(x2-x1)
Shade downwards or to the left
-b±[vb²-4ac]/2a
S² - where s = length of a side

18. Area of a trapezoid
½(b1 +b2) x h [or (b1 +b2) x h÷2]
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.
The distance across the circle through the center of the circle.The diameter is twice the radius.
Dotted line

19. Slope-Intercept
y=mx+b
Graphing the system of equations and finding the point at which they intersect
(y2-y1)/(x2-x1)
Ac+ad+bc+bd

20. length of a sector
An ange whose vertex is the center of the circle
x°/360 times (2 pi r) - where x is the degrees in the angle
C =?d
The distance from one point on the circle to another point on the circle.

21. A parent function is the simplest ____________ of a function
Shade upwards or to the right
A segment connecting the center of a circle to any point on the circle
Equation
y-y1=m(x-x1)

22. Inverse Variation
Any ordered pair in a system that makes all the equations true
y=k/x
(y2-y1)/(x2-x1)
Linear functions

23. Infinitely many solutions
When the system of equations have the same slope and y-intercept
y=x or f(x)=x
(a+b)²
A=bh

24. Dividing by a negative number in an inequality
Dotted line
S² - where s = length of a side
You must flip the sign
2 pi r

25. Graphing < or > on a coordinate plane
Dotted line
Opposite ÷ adjacent
x°/360 times (2 pi r) - where x is the degrees in the angle
y-y1=m(x-x1)

26. a²-b²
x°/360 times (?r²) - where x is the degrees in the angle
(a-b)(a+b)
(a-b)(a²+ab+b²)
Any ordered pair in a system that makes all the equations true

27. A function is ___________ a relation
½(base x height) [or (base x height)÷2]
x°/360 times (2 pi r) - where x is the degrees in the angle
Always
2Length + 2width [or (length + width) x 2]

28. Perimeter of a square
4s (where s = length of a side)
(a+b)²
A V-shaped graph that points upward of downward
y-y1=m(x-x1)

29. Substitution method
2 pi r
Replacing one variable with an equivalent expression containing the other variable
x°/360 times (?r²) - where x is the degrees in the angle
Dotted line

30. (a+b)(c+d)
(a-b)²
½(b1 +b2) x h [or (b1 +b2) x h÷2]
y=mx+b
Ac+ad+bc+bd

31. Elimination method
When the system of equations have different slopes
Solving systems by adding or subtracting equations to eliminate a variable
Shade downwards or to the left
An ange whose vertex is the center of the circle

32. Absolute value equation
x°/360 times (2 pi r) - where x is the degrees in the angle
A segment connecting the center of a circle to any point on the circle
Always
A V-shaped graph that points upward of downward

33. Area of a sector
Any ordered pair in a system that makes all the equations true
y=mx+b
x°/360 times (?r²) - where x is the degrees in the angle
y=mx+b

34. a²+2ab+b²
When there is a horizontal line that has different x points - but the same y point
Graphing the system of equations and finding the point at which they intersect
(a+b)²
Ac+ad+bc+bd

35. Undefined
You must flip the sign
y=mx+b
When there is a vertical line that has different y points - but the same x point
y=mx+b

36. Diameter
Part of a circle connecting two points on the circle.
Always
Shade downwards or to the left
The distance across the circle through the center of the circle.The diameter is twice the radius.

37. Graphing method
x°/360 times (?r²) - where x is the degrees in the angle
Graphing the system of equations and finding the point at which they intersect
S² - where s = length of a side
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.

38. Graphing = or < on a coordinate plane
Ab+ac
A V-shaped graph that points upward of downward
Shade downwards or to the left
y=mx+b

39. Point-Slope form
(a-b)(a+b)
2Length + 2width [or (length + width) x 2]
-b±[vb²-4ac]/2a
y-y1=m(x-x1)

40. Sector
y=mx+b
Opposite ÷ hypotenuse
Ac+ad+bc+bd
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.

41. Area of a circle
Shade downwards or to the left
?r²
A=bh
Graphs

42. Circumference Formula
Solving systems by adding or subtracting equations to eliminate a variable
C =?d
When the system of equations have the same slope but different y-intercepts
An ange whose vertex is the center of the circle

43. Perimeter (circumference) of a circle
2 pi r
Opposite ÷ adjacent
y=mx+b
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.

44. sine ratio
Opposite ÷ hypotenuse
Equation
You must flip the sign
2Length + 2width [or (length + width) x 2]

45. Quadratic Formula
y=mx+b
A=bh
-b±[vb²-4ac]/2a
The distance across the circle through the center of the circle.The diameter is twice the radius.

46. Arc
-b±[vb²-4ac]/2a
Solving systems by adding or subtracting equations to eliminate a variable
Part of a circle connecting two points on the circle.
Is the set of points which are all the same distance (its radius) from a certian point( the center).

47. a²-2ab+b²
x°/360 times (2 pi r) - where x is the degrees in the angle
Any ordered pair in a system that makes all the equations true
(a-b)²
½(b1 +b2) x h [or (b1 +b2) x h÷2]

48. Central Angle
Opposite ÷ hypotenuse
When the system of equations have the same slope but different y-intercepts
An ange whose vertex is the center of the circle
(a-b)(a²+ab+b²)

49. tangent ratio
Opposite ÷ adjacent
(a-b)²
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.
(a-b)(a+b)

50. Area of a square
-b±[vb²-4ac]/2a
S² - where s = length of a side
The distance across the circle through the center of the circle.The diameter is twice the radius.
y=kx