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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. Absolute value equation
Opposite ÷ hypotenuse
½(base x height) [or (base x height)÷2]
A V-shaped graph that points upward of downward
y-y1=m(x-x1)

2. Central Angle
(a+b)²
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
An ange whose vertex is the center of the circle

3. A linear function is a function that _____________ a line
Opposite ÷ hypotenuse
Graphing the system of equations and finding the point at which they intersect
Graphs
A V-shaped graph that points upward of downward

4. Quadratic Formula
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.
-b±[vb²-4ac]/2a
Equation
Dotted line

5. One solution
When the system of equations have different slopes
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
2Length + 2width [or (length + width) x 2]
You must flip the sign

6. Arc
The distance from one point on the circle to another point on the circle.
Solving systems by adding or subtracting equations to eliminate a variable
Part of a circle connecting two points on the circle.
Opposite ÷ adjacent

7. Chord
When there is a vertical line that has different y points - but the same x point
The distance from one point on the circle to another point on the circle.
S² - where s = length of a side
Graphs

8. (a+b)(c+d)
When there is a vertical line that has different y points - but the same x point
Adjacent ÷ hypotenuse
Ac+ad+bc+bd
?d OR 2?r

9. Perimeter (circumference) of a circle
2 pi r
When there is a vertical line that has different y points - but the same x point
When the system of equations have the same slope but different y-intercepts
The distance across the circle through the center of the circle.The diameter is twice the radius.

10. Perimeter of a square
4s (where s = length of a side)
Solving systems by adding or subtracting equations to eliminate a variable
A=bh
When there is a horizontal line that has different x points - but the same y point

11. Solution of the system of linear equations
(a-b)(a²+ab+b²)
Any ordered pair in a system that makes all the equations true
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 V-shaped graph that points upward of downward

12. Graphing = or = on a coordinate plane
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Solid line
C =?d
Graphs

13. Standard form
(a-b)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
A=?r2
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.

14. a³-b³
y=x or f(x)=x
Opposite ÷ adjacent
An ange whose vertex is the center of the circle
(a-b)(a²+ab+b²)

15. a²+2ab+b²
(a+b)²
Graphing the system of equations and finding the point at which they intersect
2Length + 2width [or (length + width) x 2]
S² - where s = length of a side

16. Area of rectangle - square - parallelogram
A=bh
y=mx+b
2Length + 2width [or (length + width) x 2]
y-y1=m(x-x1)

17. Graphing = or > on a coordinate plane
When the system of equations have different slopes
?r²
Shade upwards or to the right
Graphs

18. Area of Circles
A=?r2
(a-b)(a²+ab+b²)
y=mx+b
Shade upwards or to the right

19. Slope intercept form
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.
Ab+ac

20. cosine ratio
(a+b)²
Adjacent ÷ hypotenuse
Solid line
Opposite ÷ hypotenuse

21. Area of a square
When the system of equations have the same slope but different y-intercepts
When the system of equations have different slopes
(a-b)(a²+ab+b²)
S² - where s = length of a side

22. Graphing method
Graphing the system of equations and finding the point at which they intersect
(a+b)(a²-ab+b²)
A=bh
Graphs

23. a²-2ab+b²
y=mx+b
(a-b)(a+b)
Dotted line
(a-b)²

24. No solution
When the system of equations have the same slope but different y-intercepts
A=bh
2 pi r
y-y1=m(x-x1)

25. Substitution method
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
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Ac+ad+bc+bd

26. Point-Slope form
Solid line
y-y1=m(x-x1)
2 pi r
When there is a vertical line that has different y points - but the same x point

27. Undefined
y=mx+b
Opposite ÷ adjacent
Shade upwards or to the right
When there is a vertical line that has different y points - but the same x point

28. Radius (Radii)
Linear functions
A segment connecting the center of a circle to any point on the circle
An ange whose vertex is the center of the circle
Ab+ac

29. Direct Variation
Equation
-b±[vb²-4ac]/2a
y=kx
2Length + 2width [or (length + width) x 2]

30. Sector
-b±[vb²-4ac]/2a
(a+b)²
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.
4s (where s = length of a side)

31. A function is ___________ a relation
½(base x height) [or (base x height)÷2]
Solving systems by adding or subtracting equations to eliminate a variable
When the system of equations have different slopes
Always

32. Circle
A V-shaped graph that points upward of downward
Is the set of points which are all the same distance (its radius) from a certian point( the center).
(y2-y1)/(x2-x1)
(a-b)(a²+ab+b²)

33. Area of a triangle
Ac+ad+bc+bd
½(base x height) [or (base x height)÷2]
y=mx+b
y-y1=m(x-x1)

34. A parent function is the simplest ____________ of a function
Dotted line
Replacing one variable with an equivalent expression containing the other variable
The distance from one point on the circle to another point on the circle.
Equation

35. Dividing by a negative number in an inequality
You must flip the sign
y=mx+b
(a-b)²
A=bh

36. a³+b³
Equation
(a+b)(a²-ab+b²)
Ac+ad+bc+bd
½(b1 +b2) x h [or (b1 +b2) x h÷2]

37. Area of a sector
The distance across the circle through the center of the circle.The diameter is twice the radius.
Opposite ÷ adjacent
x°/360 times (?r²) - where x is the degrees in the angle
Replacing one variable with an equivalent expression containing the other variable

38. Slope-Intercept
C =?d
y=mx+b
Solving systems by adding or subtracting equations to eliminate a variable
(a+b)(a²-ab+b²)

39. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
(a+b)(a²-ab+b²)
y=kx
x°/360 times (?r²) - where x is the degrees in the angle

40. Area of a trapezoid
½(b1 +b2) x h [or (b1 +b2) x h÷2]
y-y1=m(x-x1)
2 pi r
You must flip the sign

41. tangent ratio
Opposite ÷ adjacent
The distance from one point on the circle to another point on the circle.
You must flip the sign
y=x or f(x)=x

42. length of a sector
x°/360 times (2 pi r) - where x is the degrees in the angle
(y2-y1)/(x2-x1)
Any ordered pair in a system that makes all the equations true
When the system of equations have the same slope and y-intercept

43. Area of a circle
?r²
-b±[vb²-4ac]/2a
y=x or f(x)=x
Always

44. Inverse Variation
The distance across the circle through the center of the circle.The diameter is twice the radius.
When the system of equations have different slopes
y=k/x
Part of a circle connecting two points on the circle.

45. 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.
Graphs
(a-b)(a+b)
4s (where s = length of a side)

46. Slope
4s (where s = length of a side)
C =?d
Opposite ÷ adjacent
(y2-y1)/(x2-x1)

47. Elimination method
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Part of a circle connecting two points on the circle.
When the system of equations have different slopes
Solving systems by adding or subtracting equations to eliminate a variable

48. Zero
Solving systems by adding or subtracting equations to eliminate a variable
Graphs
A=?r2
When there is a horizontal line that has different x points - but the same y point

49. Graphing < or > on a coordinate plane
Ab+ac
Always
Solid line
Dotted line

50. Perimeter of a rectangle
2Length + 2width [or (length + width) x 2]
½(b1 +b2) x h [or (b1 +b2) x h÷2]
A V-shaped graph that points upward of downward
x°/360 times (2 pi r) - where x is the degrees in the angle