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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. Radius (Radii)
(a-b)(a+b)
Opposite ÷ adjacent
Part of a circle connecting two points on the circle.
A segment connecting the center of a circle to any point on the circle

2. Point-Slope form
x°/360 times (2 pi r) - where x is the degrees in the angle
y-y1=m(x-x1)
?d OR 2?r
(a-b)²

3. a²+2ab+b²
Graphing the system of equations and finding the point at which they intersect
(a+b)²
A=?r2
Replacing one variable with an equivalent expression containing the other variable

4. Solution of the system of linear equations
Ab+ac
y-y1=m(x-x1)
Any ordered pair in a system that makes all the equations true
Opposite ÷ hypotenuse

5. Perimeter of a rectangle
y=mx+b
When there is a vertical line that has different y points - but the same x point
Equation
2Length + 2width [or (length + width) x 2]

6. 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.
Ab+ac
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

7. Translation
(a+b)²
Graphs
Always
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.

8. Zero
(a-b)(a+b)
When there is a horizontal line that has different x points - but the same y point
?r²
Dotted line

9. A parent function is the simplest ____________ of a function
Equation
The distance across the circle through the center of the circle.The diameter is twice the radius.
4s (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.

10. Slope-Intercept
y=mx+b
Equation
Shade downwards or to the left
S² - where s = length of a side

11. Central Angle
Graphing the system of equations and finding the point at which they intersect
4s (where s = length of a side)
An ange whose vertex is the center of the circle
When there is a horizontal line that has different x points - but the same y point

12. A function is ___________ a relation
x°/360 times (2 pi r) - where x is the degrees in the angle
Always
Graphs
Opposite ÷ adjacent

13. Graphing = or > on a coordinate plane
y=k/x
A segment connecting the center of a circle to any point on the circle
Shade upwards or to the right
y=mx+b

14. Inverse Variation
½(base x height) [or (base x height)÷2]
y=k/x
When the system of equations have the same slope and y-intercept
Part of a circle connecting two points on the circle.

15. tangent ratio
Solving systems by adding or subtracting equations to eliminate a variable
Opposite ÷ adjacent
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.
y=mx+b

16. Undefined
y=mx+b
Solid line
When there is a vertical line that has different y points - but the same x point
Dotted line

17. Circumference Formula
C =?d
y=mx+b
(a-b)(a+b)
Shade upwards or to the right

18. Graphing method
An ange whose vertex is the center of the circle
Graphing the system of equations and finding the point at which they intersect
?r²
Always

19. Substitution method
y=k/x
A segment connecting the center of a circle to any point on the circle
Part of a circle connecting two points on the circle.
Replacing one variable with an equivalent expression containing the other variable

20. Diameter
A segment connecting the center of a circle to any point on the circle
(a-b)²
y=kx
The distance across the circle through the center of the circle.The diameter is twice the radius.

21. Slope
y=x or f(x)=x
S² - where s = length of a side
(y2-y1)/(x2-x1)
Adjacent ÷ hypotenuse

22. Elimination method
Solving systems by adding or subtracting equations to eliminate a variable
Ab+ac
Graphs
(a+b)²

23. Slope intercept form
Dotted line
Ab+ac
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.

24. Area of a sector
x°/360 times (?r²) - where x is the degrees in the angle
When the system of equations have the same slope and y-intercept
4s (where s = length of a side)
The distance from one point on the circle to another point on the circle.

25. (a+b)(c+d)
x°/360 times (2 pi r) - where x is the degrees in the angle
A=bh
Ac+ad+bc+bd
(y2-y1)/(x2-x1)

26. Graphing = or = on a coordinate plane
Solid line
Graphing the system of equations and finding the point at which they intersect
(a-b)(a+b)
x°/360 times (?r²) - where x is the degrees in the angle

27. Area of a square
A V-shaped graph that points upward of downward
2 pi r
S² - where s = length of a side
When the system of equations have the same slope but different y-intercepts

28. a³+b³
(a+b)(a²-ab+b²)
x°/360 times (2 pi r) - where x is the degrees in the angle
When there is a horizontal line that has different x points - but the same y point
-b±[vb²-4ac]/2a

29. One solution
When the system of equations have different slopes
(a+b)²
Graphs
½(base x height) [or (base x height)÷2]

30. Linear parent function
y=mx+b
Any ordered pair in a system that makes all the equations true
C =?d
y=x or f(x)=x

31. Area of rectangle - square - parallelogram
A=bh
Any ordered pair in a system that makes all the equations true
-b±[vb²-4ac]/2a
A V-shaped graph that points upward of downward

32. Area of a circle
(a-b)²
A=?r2
Ab+ac
?r²

33. a²-2ab+b²
When the system of equations have the same slope but different y-intercepts
(a-b)(a+b)
Opposite ÷ adjacent
(a-b)²

34. Area of a trapezoid
Dotted line
A=bh
½(b1 +b2) x h [or (b1 +b2) x h÷2]
When the system of equations have different slopes

35. a³-b³
?d OR 2?r
Shade upwards or to the right
-b±[vb²-4ac]/2a
(a-b)(a²+ab+b²)

36. Dividing by a negative number in an inequality
You must flip the sign
Ac+ad+bc+bd
(a+b)(a²-ab+b²)
The distance from one point on the circle to another point on the circle.

37. Area of a triangle
½(base x height) [or (base x height)÷2]
When there is a horizontal line that has different x points - but the same y point
(a-b)(a²+ab+b²)
Shade downwards or to the left

38. Circle
Is the set of points which are all the same distance (its radius) from a certian point( the center).
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 there is a horizontal line that has different x points - but the same y point
Part of a circle connecting two points on the circle.

39. sine ratio
Opposite ÷ hypotenuse
Opposite ÷ adjacent
Shade upwards or to the right
x°/360 times (2 pi r) - where x is the degrees in the angle

40. Chord
Part of a circle connecting two points on the circle.
The distance from one point on the circle to another point on the circle.
When the system of equations have the same slope and y-intercept
Equation

41. a²-b²
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
C =?d
When there is a horizontal line that has different x points - but the same y point
(a-b)(a+b)

42. Absolute value equation
A V-shaped graph that points upward of downward
?r²
Shade downwards or to the left
-b±[vb²-4ac]/2a

43. Perimeter of a square
4s (where s = length of a side)
Shade upwards or to the right
When the system of equations have the same slope and y-intercept
y=x or f(x)=x

44. Graphing < or > on a coordinate plane
Adjacent ÷ hypotenuse
An ange whose vertex is the center of the circle
Part of a circle connecting two points on the circle.
Dotted line

45. No solution
Adjacent ÷ hypotenuse
When the system of equations have the same slope but different y-intercepts
(y2-y1)/(x2-x1)
S² - where s = length of a side

46. A linear function is a function that _____________ a line
Is the set of points which are all the same distance (its radius) from a certian point( the center).
You must flip the sign
Linear functions
Graphs

47. Graphing = or < on a coordinate plane
When there is a vertical line that has different y points - but the same x point
Shade downwards or to the left
Always
?d OR 2?r

48. All direct variations are ____________________
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
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.
Linear functions
A=?r2

49. Arc
Any ordered pair in a system that makes all the equations true
Part of a circle connecting two points on the circle.
½(base x height) [or (base x height)÷2]
Linear functions

50. Quadratic Formula
(a+b)²
-b±[vb²-4ac]/2a
An ange whose vertex is the center of the circle
?d OR 2?r