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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. No solution
When the system of equations have the same slope but different y-intercepts
(a-b)(a+b)
A=?r2
C =?d

2. Dividing by a negative number in an inequality
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).
-b±[vb²-4ac]/2a
You must flip the sign

3. Standard form
A V-shaped graph that points upward of downward
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
y=x or f(x)=x

4. Area of a sector
(a+b)(a²-ab+b²)
2 pi r
Opposite ÷ adjacent
x°/360 times (?r²) - where x is the degrees in the angle

5. Zero
(a-b)(a²+ab+b²)
When there is a horizontal line that has different x points - but the same y point
y=x or f(x)=x
½(b1 +b2) x h [or (b1 +b2) x h÷2]

6. Perimeter of a rectangle
(a+b)(a²-ab+b²)
2Length + 2width [or (length + width) x 2]
A V-shaped graph that points upward of downward
When there is a vertical line that has different y points - but the same x point

7. Linear parent function
A=bh
An ange whose vertex is the center of the circle
y=x or f(x)=x
The distance across the circle through the center of the circle.The diameter is twice the radius.

8. Perimeter (circumference) of a circle
C =?d
(a-b)(a²+ab+b²)
When there is a vertical line that has different y points - but the same x point
2 pi r

9. length of a sector
A=bh
x°/360 times (2 pi r) - where x is the degrees in the angle
y=mx+b
When there is a horizontal line that has different x points - but the same y point

10. A linear function is a function that _____________ a line
Solving systems by adding or subtracting equations to eliminate a variable
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
Graphs
Shade upwards or to the right

11. a³-b³
y=x or f(x)=x
2Length + 2width [or (length + width) x 2]
(a-b)(a²+ab+b²)
Part of a circle connecting two points on the circle.

12. Chord
Solving systems by adding or subtracting equations to eliminate a variable
(a+b)(a²-ab+b²)
The distance from one point on the circle to another point on the circle.
Replacing one variable with an equivalent expression containing the other variable

13. Diameter
An ange whose vertex is the center of the circle
y-y1=m(x-x1)
The distance across the circle through the center of the circle.The diameter is twice the radius.
-b±[vb²-4ac]/2a

14. 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
A=?r2
Linear functions
(a+b)²

15. tangent ratio
Any ordered pair in a system that makes all the equations true
Opposite ÷ adjacent
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 distance across the circle through the center of the circle.The diameter is twice the radius.

16. Perimeter of a square
A V-shaped graph that points upward of downward
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

17. (a+b)(c+d)
Ac+ad+bc+bd
Is the set of points which are all the same distance (its radius) from a certian point( the center).
(y2-y1)/(x2-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.

18. Substitution method
Solid line
Ac+ad+bc+bd
(a-b)(a²+ab+b²)
Replacing one variable with an equivalent expression containing the other variable

19. Radius (Radii)
y=mx+b
Opposite ÷ adjacent
A segment connecting the center of a circle to any point on the circle
(a+b)(a²-ab+b²)

20. A parent function is the simplest ____________ of a function
Opposite ÷ hypotenuse
Graphing the system of equations and finding the point at which they intersect
Equation
-b±[vb²-4ac]/2a

21. Inverse Variation
Graphing the system of equations and finding the point at which they intersect
Shade upwards or to the right
Part of a circle connecting two points on the circle.
y=k/x

22. Area of a trapezoid
y=k/x
½(base x height) [or (base x height)÷2]
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Ac+ad+bc+bd

23. Sector
(a+b)(a²-ab+b²)
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 segment connecting the center of a circle to any point on the circle
S² - where s = length of a side

24. a³+b³
(a+b)(a²-ab+b²)
?d OR 2?r
Opposite ÷ hypotenuse
Shade upwards or to the right

25. Central Angle
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
An ange whose vertex is the center of the circle

26. Direct Variation
y=kx
?d OR 2?r
Always
An ange whose vertex is the center of the circle

27. Solution of the system of linear equations
Any ordered pair in a system that makes all the equations true
y=mx+b
When the system of equations have the same slope but different y-intercepts
y-y1=m(x-x1)

28. Absolute value equation
A V-shaped graph that points upward of downward
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.
Graphing the system of equations and finding the point at which they intersect
When there is a vertical line that has different y points - but the same x point

29. Arc
An ange whose vertex is the center of the circle
Opposite ÷ hypotenuse
Part of a circle connecting two points on the circle.
Graphing the system of equations and finding the point at which they intersect

30. One solution
The distance from one point on the circle to another point on the circle.
(a-b)(a+b)
When the system of equations have different slopes
y=mx+b

31. Quadratic Formula
y=x or f(x)=x
You must flip the sign
½(b1 +b2) x h [or (b1 +b2) x h÷2]
-b±[vb²-4ac]/2a

32. Elimination method
y=mx+b
y=k/x
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Solving systems by adding or subtracting equations to eliminate a variable

33. cosine ratio
Graphing the system of equations and finding the point at which they intersect
y=k/x
Adjacent ÷ hypotenuse
Always

34. Slope intercept form
(a-b)²
4s (where s = length of a side)
(a+b)²
y=mx+b

35. Graphing = or > on a coordinate plane
Shade upwards or to the right
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.
Opposite ÷ hypotenuse
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.

36. Area of a triangle
½(base x height) [or (base x height)÷2]
A V-shaped graph that points upward of downward
Linear functions
y=k/x

37. Circumference Formula
When the system of equations have different slopes
Graphing the system of equations and finding the point at which they intersect
C =?d
Dotted line

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

39. a²-b²
Ab+ac
(a-b)(a+b)
Shade upwards or to the right
4s (where s = length of a side)

40. Circumference of a circle
When there is a vertical line that has different y points - but the same x point
?d OR 2?r
Shade upwards or to the right
The distance across the circle through the center of the circle.The diameter is twice the radius.

41. Area of a circle
You must flip the sign
When the system of equations have the same slope and y-intercept
Replacing one variable with an equivalent expression containing the other variable
?r²

42. Slope
Any ordered pair in a system that makes all the equations true
The distance across the circle through the center of the circle.The diameter is twice the radius.
2 pi r
(y2-y1)/(x2-x1)

43. Point-Slope form
C =?d
You must flip the sign
y=mx+b
y-y1=m(x-x1)

44. Graphing < or > on a coordinate plane
Dotted 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
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 ÷ hypotenuse

45. Graphing = or < on a coordinate plane
y=mx+b
Shade downwards or to the left
An ange whose vertex is the center of the circle
(a-b)(a+b)

46. Circle
Shade downwards or to the left
Dotted line
y=mx+b
Is the set of points which are all the same distance (its radius) from a certian point( the center).

47. Graphing = or = on a coordinate plane
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.
The distance across the circle through the center of the circle.The diameter is twice the radius.
Solid line
(a-b)(a+b)

48. Area of rectangle - square - parallelogram
Always
A=bh
?d OR 2?r
Solid line

49. Undefined
When the system of equations have the same slope and y-intercept
2 pi r
When there is a vertical line that has different y points - but the same x point
y=kx

50. a²+2ab+b²
The distance from one point on the circle to another point on the circle.
2 pi r
(a+b)²
S² - where s = length of a side