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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. tangent ratio
Part of a circle connecting two points on the circle.
(a-b)²
½(base x height) [or (base x height)÷2]
Opposite ÷ adjacent

2. Area of a trapezoid
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Equation
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.

3. Elimination method
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.
2 pi r
Solving systems by adding or subtracting equations to eliminate a variable
You must flip the sign

4. Undefined
x°/360 times (?r²) - where x is the degrees in the angle
Adjacent ÷ hypotenuse
When there is a vertical line that has different y points - but the same x point
½(base x height) [or (base x height)÷2]

5. length of a sector
A=?r2
A=bh
?d OR 2?r
x°/360 times (2 pi r) - where x is the degrees in the angle

6. a(b+c)
Dotted line
Any ordered pair in a system that makes all the equations true
Ac+ad+bc+bd
Ab+ac

7. Central Angle
The distance from one point on the circle to another point on the circle.
Shade upwards or to the right
Ac+ad+bc+bd
An ange whose vertex is the center of the circle

8. Linear parent function
½(base x height) [or (base x height)÷2]
Adjacent ÷ hypotenuse
y=x or f(x)=x
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

9. Area of a triangle
Graphs
½(base x height) [or (base x height)÷2]
When the system of equations have the same slope and y-intercept
Any ordered pair in a system that makes all the equations true

10. Graphing method
Part of a circle connecting two points on the circle.
Graphing the system of equations and finding the point at which they intersect
When there is a horizontal line that has different x points - but the same y point
The distance from one point on the circle to another point on the circle.

11. Substitution method
Solving systems by adding or subtracting equations to eliminate a variable
2 pi r
(y2-y1)/(x2-x1)
Replacing one variable with an equivalent expression containing the other variable

12. a²+2ab+b²
-b±[vb²-4ac]/2a
(a+b)²
2Length + 2width [or (length + width) x 2]
When the system of equations have the same slope and y-intercept

13. A parent function is the simplest ____________ of a function
Part of a circle connecting two points on the circle.
Equation
x°/360 times (?r²) - where x is the degrees in the angle
A=bh

14. a³-b³
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(a-b)(a²+ab+b²)
Ab+ac
Solid line

15. Area of a square
A=bh
Opposite ÷ hypotenuse
S² - where s = length of a side
A V-shaped graph that points upward of downward

16. Standard form
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
The distance from one point on the circle to another point on the circle.
Always

17. Graphing = or > on a coordinate plane
Part of a circle connecting two points on the circle.
Shade upwards or to the right
(a-b)(a²+ab+b²)
(a+b)²

18. Dividing by a negative number in an inequality
Adjacent ÷ hypotenuse
A=bh
You must flip the sign
When the system of equations have different slopes

19. Chord
Equation
Opposite ÷ hypotenuse
The distance from one point on the circle to another point on the circle.
y=mx+b

20. Graphing < or > on a coordinate plane
An ange whose vertex is the center of the circle
?d OR 2?r
Dotted line
Graphs

21. Diameter
2 pi r
?r²
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 and y-intercept

22. Area of a circle
?r²
Shade downwards or to the left
An ange whose vertex is the center of the circle
y=kx

23. All direct variations are ____________________
(a+b)(a²-ab+b²)
Linear functions
(y2-y1)/(x2-x1)
The distance from one point on the circle to another point on the circle.

24. Circumference Formula
Graphing the system of equations and finding the point at which they intersect
C =?d
(a-b)(a²+ab+b²)
Linear functions

25. Area of rectangle - square - parallelogram
S² - where s = length of a side
When there is a vertical line that has different y points - but the same x point
A=bh
(a-b)(a²+ab+b²)

26. Point-Slope form
?d OR 2?r
y-y1=m(x-x1)
When the system of equations have the same slope but different y-intercepts
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

27. Circumference of a circle
A=bh
Shade downwards or to the left
?d OR 2?r
Is the set of points which are all the same distance (its radius) from a certian point( the center).

28. Absolute value equation
Adjacent ÷ hypotenuse
y=k/x
A V-shaped graph that points upward of downward
A=?r2

29. One solution
When the system of equations have different slopes
Equation
?r²
½(b1 +b2) x h [or (b1 +b2) x h÷2]

30. Radius (Radii)
Solving systems by adding or subtracting equations to eliminate a variable
?d OR 2?r
S² - where s = length of a side
A segment connecting the center of a circle to any point on the circle

31. Quadratic Formula
-b±[vb²-4ac]/2a
y=mx+b
Solid line
Shade downwards or to the left

32. cosine ratio
(a-b)(a²+ab+b²)
?r²
S² - where s = length of a side
Adjacent ÷ hypotenuse

33. Translation
Dotted line
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.
2 pi r
4s (where s = length of a side)

34. Sector
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.
x°/360 times (2 pi r) - where x is the degrees in the angle
4s (where s = length of a side)
?d OR 2?r

35. Graphing = or < on a coordinate plane
x°/360 times (?r²) - 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
(a-b)(a²+ab+b²)
Shade downwards or to the left

36. Area of Circles
Linear functions
Any ordered pair in a system that makes all the equations true
When the system of equations have the same slope but different y-intercepts
A=?r2

37. Direct Variation
y=kx
Solid line
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
You must flip the sign

38. Perimeter of a square
You must flip the sign
An ange whose vertex is the center of the circle
Ac+ad+bc+bd
4s (where s = length of a side)

39. Slope
Shade downwards or to the left
(y2-y1)/(x2-x1)
y-y1=m(x-x1)
S² - where s = length of a side

40. Graphing = or = on a coordinate plane
x°/360 times (?r²) - where x is the degrees in the angle
y=k/x
Solid line
A segment connecting the center of a circle to any point on the circle

41. A linear function is a function that _____________ a line
Ab+ac
Graphs
Opposite ÷ hypotenuse
You must flip the sign

42. a³+b³
y-y1=m(x-x1)
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.
When there is a vertical line that has different y points - but the same x point
(a+b)(a²-ab+b²)

43. a²-2ab+b²
A=bh
(a-b)²
When there is a vertical line that has different y points - but the same x point
(y2-y1)/(x2-x1)

44. Zero
(a-b)(a+b)
Shade upwards or to the right
Solving systems by adding or subtracting equations to eliminate a variable
When there is a horizontal line that has different x points - but the same y point

45. A function is ___________ a relation
Always
Is the set of points which are all the same distance (its radius) from a certian point( the center).
You must flip the sign
Solving systems by adding or subtracting equations to eliminate a variable

46. No solution
Part of a circle connecting two points on the circle.
Ac+ad+bc+bd
When the system of equations have the same slope but different y-intercepts
-b±[vb²-4ac]/2a

47. Inverse Variation
-b±[vb²-4ac]/2a
A V-shaped graph that points upward of downward
y=k/x
You must flip the sign

48. Arc
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
Part of a circle connecting two points on the circle.
?d OR 2?r

49. Perimeter of a rectangle
(a-b)(a²+ab+b²)
2Length + 2width [or (length + width) x 2]
½(base x height) [or (base x height)÷2]
Ac+ad+bc+bd

50. a²-b²
y=mx+b
(a-b)(a+b)
When the system of equations have the same slope and y-intercept
Any ordered pair in a system that makes all the equations true