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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. Graphing < or > on a coordinate plane
(a+b)(a²-ab+b²)
Dotted line
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

2. A parent function is the simplest ____________ of a function
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
Part of a circle connecting two points on 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

3. tangent ratio
Opposite ÷ hypotenuse
Replacing one variable with an equivalent expression containing the other variable
Opposite ÷ adjacent
Ab+ac

4. Slope intercept form
C =?d
y=mx+b
A=bh
A V-shaped graph that points upward of downward

5. a²-b²
x°/360 times (2 pi r) - where x is the degrees in the angle
Opposite ÷ hypotenuse
(a-b)(a+b)
When the system of equations have the same slope and y-intercept

6. Quadratic Formula
y=kx
The distance from one point on the circle to another point on the circle.
-b±[vb²-4ac]/2a
When the system of equations have different slopes

7. (a+b)(c+d)
y=kx
Part of a circle connecting two points 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.
Ac+ad+bc+bd

8. Undefined
(y2-y1)/(x2-x1)
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 vertical line that has different y points - but the same x point
(a-b)(a²+ab+b²)

9. Translation
Replacing one variable with an equivalent expression containing the other variable
A V-shaped graph that points upward of downward
y=mx+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.

10. Circumference of a circle
Adjacent ÷ hypotenuse
Ac+ad+bc+bd
?d OR 2?r
C =?d

11. length of a sector
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
Shade upwards or to the right
Opposite ÷ hypotenuse

12. Radius (Radii)
Linear functions
Adjacent ÷ hypotenuse
Graphing the system of equations and finding the point at which they intersect
A segment connecting the center of a circle to any point on the circle

13. Slope
Part of a circle connecting two points on the circle.
A segment connecting the center of a circle to any point on the circle
(a+b)(a²-ab+b²)
(y2-y1)/(x2-x1)

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

15. Graphing = or > on a coordinate plane
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Replacing one variable with an equivalent expression containing the other variable
Shade upwards or to the right
C =?d

16. a²+2ab+b²
You must flip the sign
(a+b)²
(y2-y1)/(x2-x1)
Replacing one variable with an equivalent expression containing the other variable

17. Direct Variation
Linear functions
y=kx
(a-b)(a²+ab+b²)
y=mx+b

18. Point-Slope form
A segment connecting the center of a circle to any point on the circle
y-y1=m(x-x1)
y=mx+b
When there is a horizontal line that has different x points - but the same y point

19. Area of a square
x°/360 times (?r²) - where x is the degrees in the angle
S² - where s = length of a side
When there is a vertical line that has different y points - but the same x point
(a-b)(a²+ab+b²)

20. Central Angle
An ange whose vertex is the center of the circle
(a+b)(a²-ab+b²)
You must flip the sign
Equation

21. Perimeter (circumference) of a circle
2 pi r
A=bh
2Length + 2width [or (length + width) x 2]
Graphing the system of equations and finding the point at which they intersect

22. Infinitely many solutions
When there is a horizontal line that has different x points - but the same y point
When the system of equations have the same slope and y-intercept
y=kx
When the system of equations have different slopes

23. One solution
y=x or f(x)=x
When the system of equations have different slopes
(a-b)(a+b)
Shade downwards or to the left

24. Perimeter of a square
(a-b)(a+b)
4s (where s = length of a side)
-b±[vb²-4ac]/2a
Linear functions

25. Dividing by a negative number in an inequality
(a+b)²
Shade downwards or to the left
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.

26. a³-b³
Linear functions
y=mx+b
(a-b)(a²+ab+b²)
When there is a horizontal line that has different x points - but the same y point

27. All direct variations are ____________________
Equation
Shade upwards or to the right
?d OR 2?r
Linear functions

28. cosine ratio
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.
A=bh
Adjacent ÷ hypotenuse

29. A linear function is a function that _____________ a line
The distance across the circle through the center of the circle.The diameter is twice the radius.
Shade downwards or to the left
Shade upwards or to the right
Graphs

30. Substitution method
Any ordered pair in a system that makes all the equations true
x°/360 times (?r²) - where x is the degrees in the angle
An ange whose vertex is the center of the circle
Replacing one variable with an equivalent expression containing the other variable

31. Linear parent function
A segment connecting the center of a circle to any point on the circle
½(b1 +b2) x h [or (b1 +b2) x h÷2]
y=x or f(x)=x
½(base x height) [or (base x height)÷2]

32. Area of a triangle
?r²
½(base x height) [or (base x height)÷2]
?d OR 2?r
-b±[vb²-4ac]/2a

33. Inverse Variation
Adjacent ÷ hypotenuse
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.
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.

34. Perimeter of a rectangle
A=?r2
Opposite ÷ adjacent
When there is a vertical line that has different y points - but the same x point
2Length + 2width [or (length + width) x 2]

35. Standard form
Linear functions
You must flip the sign
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
When the system of equations have the same slope but different y-intercepts

36. Graphing method
Graphs
Graphing the system of equations and finding the point at which they intersect
A segment connecting the center of a circle to any point on the circle
When there is a horizontal line that has different x points - but the same y point

37. Graphing = or = on a coordinate plane
y=k/x
Solid line
A=?r2
Shade downwards or to the left

38. Area of rectangle - square - parallelogram
When the system of equations have the same slope and y-intercept
A=bh
Shade upwards or to the right
y=kx

39. A function is ___________ a relation
Always
Dotted line
y=k/x
4s (where s = length of a side)

40. a²-2ab+b²
(a-b)²
(a-b)(a+b)
Shade upwards or to the right
Dotted line

41. Diameter
y=kx
When the system of equations have different slopes
The distance across the circle through the center of the circle.The diameter is twice the radius.
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

42. Arc
4s (where s = length of a side)
Part of a circle connecting two points on the circle.
Equation
When there is a horizontal line that has different x points - but the same y point

43. Sector
?r²
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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
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

44. Area of a sector
2Length + 2width [or (length + width) x 2]
y=kx
x°/360 times (?r²) - where x is the degrees in the angle
Opposite ÷ hypotenuse

45. Circle
y=x or f(x)=x
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)
-b±[vb²-4ac]/2a

46. Area of a circle
When the system of equations have different slopes
Adjacent ÷ hypotenuse
y=mx+b
?r²

47. Zero
Opposite ÷ adjacent
x°/360 times (2 pi r) - where x is the degrees in the angle
Dotted line
When there is a horizontal line that has different x points - but the same y point

48. sine ratio
Opposite ÷ hypotenuse
Part of a circle connecting two points on the circle.
Linear functions
?r²

49. Circumference Formula
Shade upwards or to the right
4s (where s = length of a side)
C =?d
The distance across the circle through the center of the circle.The diameter is twice the radius.

50. a(b+c)
Ab+ac
?r²
When the system of equations have the same slope and y-intercept
Opposite ÷ hypotenuse