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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
Solid line
Ac+ad+bc+bd
Shade upwards or to the right
½(base x height) [or (base x height)÷2]

2. Elimination method
-b±[vb²-4ac]/2a
Solving systems by adding or subtracting equations to eliminate a variable
Linear functions
?r²

3. Sector
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.
Linear functions
(a+b)(a²-ab+b²)

4. Area of a circle
The distance from one point on the circle to another point on the circle.
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.
Opposite ÷ adjacent
?r²

5. Circumference Formula
Linear functions
C =?d
x°/360 times (?r²) - where x is the degrees in the angle
Shade upwards or to the right

6. a²-2ab+b²
The distance from one point on the circle to another point on the circle.
When the system of equations have different slopes
2 pi r
(a-b)²

7. Central Angle
An ange whose vertex is the center of the circle
When the system of equations have different slopes
When there is a vertical line that has different y points - but the same x point
Solid line

8. a²-b²
Always
(y2-y1)/(x2-x1)
(a-b)(a+b)
C =?d

9. Linear parent function
An ange whose vertex is the center of the circle
Is the set of points which are all the same distance (its radius) from a certian point( the center).
y=x or f(x)=x
Opposite ÷ adjacent

10. Dividing by a negative number in an inequality
When there is a horizontal line that has different x points - but the same y point
You must flip the sign
A=bh
Shade upwards or to the right

11. A function is ___________ a relation
Opposite ÷ adjacent
Always
Any ordered pair in a system that makes all the equations true
y-y1=m(x-x1)

12. Circle
A segment connecting the center of a circle to any point on the circle
A=bh
(a-b)²
Is the set of points which are all the same distance (its radius) from a certian point( the center).

13. Area of Circles
y-y1=m(x-x1)
?r²
Adjacent ÷ hypotenuse
A=?r2

14. a²+2ab+b²
Is the set of points which are all the same distance (its radius) from a certian point( the center).
(a+b)²
y=kx
The distance from one point on the circle to another point on the circle.

15. No solution
Ac+ad+bc+bd
Solid line
Shade downwards or to the left
When the system of equations have the same slope but different y-intercepts

16. Graphing = or < on a coordinate plane
Shade downwards or to the left
y=kx
When there is a vertical line that has different y points - but the same x point
An ange whose vertex is the center of the circle

17. Absolute value equation
Ac+ad+bc+bd
(a+b)²
A V-shaped graph that points upward of downward
S² - where s = length of a side

18. Direct Variation
y=mx+b
(a-b)²
y=kx
Dotted line

19. Infinitely many solutions
When the system of equations have the same slope and y-intercept
y=kx
4s (where s = length of a side)
Opposite ÷ adjacent

20. Zero
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Opposite ÷ hypotenuse
A=bh
When there is a horizontal line that has different x points - but the same y point

21. Slope
A=?r2
(y2-y1)/(x2-x1)
Opposite ÷ hypotenuse
The distance across the circle through the center of the circle.The diameter is twice the radius.

22. Area of a triangle
½(base x height) [or (base x height)÷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
Replacing one variable with an equivalent expression containing the other variable
Ab+ac

23. Area of a trapezoid
(a+b)(a²-ab+b²)
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Dotted line
Any ordered pair in a system that makes all the equations true

24. Quadratic Formula
When the system of equations have different slopes
Opposite ÷ hypotenuse
A=?r2
-b±[vb²-4ac]/2a

25. a(b+c)
y=x or f(x)=x
Ab+ac
A=bh
Opposite ÷ hypotenuse

26. Chord
Ab+ac
The distance from one point on the circle to another point on the circle.
A=bh
y=mx+b

27. Area of a square
C =?d
A=?r2
When the system of equations have the same slope but different y-intercepts
S² - where s = length of a side

28. a³+b³
Shade downwards or to the left
(a+b)(a²-ab+b²)
Any ordered pair in a system that makes all the equations true
Dotted line

29. Slope-Intercept
When the system of equations have different slopes
x°/360 times (?r²) - where x is the degrees in the angle
y=mx+b
x°/360 times (2 pi r) - where x is the degrees in the angle

30. Solution of the system of linear equations
½(base x height) [or (base x height)÷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.
Part of a circle connecting two points on the circle.
Any ordered pair in a system that makes all the equations true

31. sine ratio
Opposite ÷ hypotenuse
y=x or f(x)=x
(a+b)²
(a+b)(a²-ab+b²)

32. A parent function is the simplest ____________ of a function
Part of a circle connecting two points on the circle.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Equation
y=mx+b

33. Area of rectangle - square - parallelogram
Opposite ÷ adjacent
Ab+ac
A=bh
When there is a vertical line that has different y points - but the same x point

34. length of a sector
(a-b)(a²+ab+b²)
y=k/x
When the system of equations have the same slope but different y-intercepts
x°/360 times (2 pi r) - where x is the degrees in the angle

35. cosine ratio
½(b1 +b2) x h [or (b1 +b2) x h÷2]
An ange whose vertex is the center of the circle
Adjacent ÷ hypotenuse
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

36. All direct variations are ____________________
2Length + 2width [or (length + width) x 2]
The distance from one point on the circle to another point on the circle.
Linear functions
Graphing the system of equations and finding the point at which they intersect

37. Circumference of a circle
(a+b)²
?d OR 2?r
(a-b)²
An ange whose vertex is the center of the circle

38. Area of a sector
Solid line
When the system of equations have different slopes
When the system of equations have the same slope but different y-intercepts
x°/360 times (?r²) - where x is the degrees in the angle

39. Substitution method
When there is a horizontal line that has different x points - but the same y point
(y2-y1)/(x2-x1)
Opposite ÷ hypotenuse
Replacing one variable with an equivalent expression containing the other variable

40. Perimeter of a rectangle
2Length + 2width [or (length + width) x 2]
When there is a vertical line that has different y points - but the same x point
S² - where s = length of a side
Linear functions

41. (a+b)(c+d)
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Solid line
Ac+ad+bc+bd
Any ordered pair in a system that makes all the equations true

42. Diameter
Solid line
Opposite ÷ hypotenuse
The distance across the circle through the center of the circle.The diameter is twice the radius.
(y2-y1)/(x2-x1)

43. Undefined
When there is a vertical line that has different y points - but the same x point
Always
Linear functions
When there is a horizontal line that has different x points - but the same y point

44. Perimeter (circumference) of a circle
y=k/x
2 pi r
The distance from one point on the circle to another point on the circle.
A=bh

45. One solution
Dotted line
(a-b)(a+b)
When the system of equations have different slopes
When the system of equations have the same slope but different y-intercepts

46. Perimeter of a square
y-y1=m(x-x1)
4s (where s = length of a side)
A V-shaped graph that points upward of downward
x°/360 times (?r²) - where x is the degrees in the angle

47. a³-b³
(a-b)(a²+ab+b²)
S² - where s = length of a side
When the system of equations have the same slope but different y-intercepts
(a+b)²

48. tangent ratio
A=?r2
Opposite ÷ adjacent
Solving systems by adding or subtracting equations to eliminate a variable
Equation

49. Arc
-b±[vb²-4ac]/2a
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
Solid line

50. Radius (Radii)
Ac+ad+bc+bd
A segment connecting the center of a circle to any point on the circle
An ange whose vertex is the center of the circle
Equation