Test your basic knowledge |

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. a²-2ab+b²
A=bh
Equation
(a-b)²
Shade upwards or to the right

2. Slope intercept form
(a+b)(a²-ab+b²)
Is the set of points which are all the same distance (its radius) from a certian point( the center).
2 pi r
y=mx+b

3. tangent ratio
(y2-y1)/(x2-x1)
Opposite ÷ adjacent
The distance across the circle through the center of the circle.The diameter is twice the radius.
?r²

4. Standard form
(a-b)(a+b)
Replacing one variable with an equivalent expression containing the other 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
?d OR 2?r

5. Graphing < or > on a coordinate plane
Dotted line
Shade upwards or to the right
Always
Graphs

6. Circumference Formula
C =?d
When the system of equations have different slopes
Any ordered pair in a system that makes all the equations true
2Length + 2width [or (length + width) x 2]

7. Area of rectangle - square - parallelogram
y-y1=m(x-x1)
When the system of equations have different slopes
-b±[vb²-4ac]/2a
A=bh

8. Graphing = or = on a coordinate plane
A=?r2
Solid line
Part of a circle connecting two points on the circle.
S² - where s = length of a side

9. Graphing method
A=?r2
Graphing the system of equations and finding the point at which they intersect
Adjacent ÷ hypotenuse
The distance across the circle through the center of the circle.The diameter is twice the radius.

10. Area of a triangle
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.
Any ordered pair in a system that makes all the equations true
4s (where s = length of a side)
½(base x height) [or (base x height)÷2]

11. Perimeter of a square
Dotted line
(a+b)²
4s (where s = length of a side)
y=mx+b

12. a²-b²
4s (where s = length of a side)
Adjacent ÷ hypotenuse
(a-b)(a+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.

13. cosine ratio
Opposite ÷ adjacent
Adjacent ÷ hypotenuse
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Part of a circle connecting two points on the circle.

14. A linear function is a function that _____________ a line
S² - where s = length of a side
You must flip the sign
Always
Graphs

15. Graphing = or < on a coordinate plane
(a-b)(a+b)
Shade downwards or to the left
The distance from one point on the circle to another point on the circle.
Shade upwards or to the right

16. One solution
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 from one point on the circle to another point on the circle.
When the system of equations have different slopes
A=?r2

17. Elimination method
When the system of equations have the same slope but different y-intercepts
Solving systems by adding or subtracting equations to eliminate a variable
Graphs
Linear functions

18. Zero
C =?d
When there is a horizontal line that has different x points - but the same y point
½(base x height) [or (base x height)÷2]
(a+b)²

19. length of a sector
(a-b)²
Linear functions
The distance across the circle through the center of the circle.The diameter is twice the radius.
x°/360 times (2 pi r) - where x is the degrees in the angle

20. Arc
Part of a circle connecting two points on the circle.
Solid line
A=?r2
When there is a horizontal line that has different x points - but the same y point

21. Circle
You must flip the sign
(a-b)(a²+ab+b²)
Is the set of points which are all the same distance (its radius) from a certian point( the center).
(a+b)²

22. a³-b³
(a-b)(a²+ab+b²)
(a-b)(a+b)
Equation
?d OR 2?r

23. sine ratio
Dotted line
Opposite ÷ hypotenuse
x°/360 times (?r²) - where x is the degrees in the angle
x°/360 times (2 pi r) - where x is the degrees in the angle

24. Dividing by a negative number in an inequality
When there is a horizontal line that has different x points - but the same y point
(y2-y1)/(x2-x1)
You must flip the sign
2 pi r

25. Direct Variation
Ac+ad+bc+bd
y=kx
Part of a circle connecting two points on the circle.
Adjacent ÷ hypotenuse

26. Perimeter of a rectangle
Solid line
2Length + 2width [or (length + width) x 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.
An ange whose vertex is the center of the circle

27. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
y=kx
Replacing one variable with an equivalent expression containing the other variable
(y2-y1)/(x2-x1)

28. (a+b)(c+d)
Solid line
Ac+ad+bc+bd
A=?r2
An ange whose vertex is the center of the circle

29. Circumference of a circle
Graphing the system of equations and finding the point at which they intersect
Replacing one variable with an equivalent expression containing the other variable
?d OR 2?r
x°/360 times (?r²) - where x is the degrees in the angle

30. Area of a square
When the system of equations have the same slope but different y-intercepts
S² - where s = length of a side
(a-b)²
You must flip the sign

31. Linear parent function
4s (where s = length of a side)
?d OR 2?r
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.
y=x or f(x)=x

32. Inverse Variation
The distance across the circle through the center of the circle.The diameter is twice the radius.
y=k/x
y=kx
(y2-y1)/(x2-x1)

33. No solution
x°/360 times (2 pi r) - where x is the degrees in the angle
When the system of equations have the same slope but different y-intercepts
Opposite ÷ hypotenuse
Shade downwards or to the left

34. a²+2ab+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
Always
Shade downwards or to the left
(a+b)²

35. A function is ___________ a relation
(a-b)²
(y2-y1)/(x2-x1)
Always
x°/360 times (?r²) - where x is the degrees in the angle

36. a(b+c)
Solid line
y=mx+b
y=x or f(x)=x
Ab+ac

37. All direct variations are ____________________
Linear functions
A=?r2
Shade downwards or to the left
Always

38. Graphing = or > on a coordinate plane
Shade upwards or to the right
Graphing the system of equations and finding the point at which they intersect
?r²
x°/360 times (2 pi r) - where x is the degrees in the angle

39. Area of Circles
A=?r2
Any ordered pair in a system that makes all the equations true
A=bh
A segment connecting the center of a circle to any point on the circle

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

41. Infinitely many solutions
y=mx+b
y=x or f(x)=x
When the system of equations have the same slope and y-intercept
y-y1=m(x-x1)

42. Central Angle
x°/360 times (2 pi r) - where x is the degrees in the angle
When the system of equations have the same slope and y-intercept
x°/360 times (?r²) - where x is the degrees in the angle
An ange whose vertex is the center of the circle

43. A parent function is the simplest ____________ of a function
y=mx+b
A V-shaped graph that points upward of downward
Equation
-b±[vb²-4ac]/2a

44. Sector
y=k/x
½(base x height) [or (base x height)÷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.
(a-b)(a²+ab+b²)

45. a³+b³
(a+b)(a²-ab+b²)
4s (where s = length of a side)
C =?d
Ac+ad+bc+bd

46. Area of a circle
y=k/x
2Length + 2width [or (length + width) x 2]
When the system of equations have the same slope and y-intercept
?r²

47. Radius (Radii)
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 but different y-intercepts
A segment connecting the center of a circle to any 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.

48. Undefined
When there is a vertical line that has different y points - but the same x point
?d OR 2?r
Ac+ad+bc+bd
S² - where s = length of a side

49. Absolute value equation
-b±[vb²-4ac]/2a
Replacing one variable with an equivalent expression containing the other variable
The distance across the circle through the center of the circle.The diameter is twice the radius.
A V-shaped graph that points upward of downward

50. Slope-Intercept
(a+b)²
Graphing the system of equations and finding the point at which they intersect
Replacing one variable with an equivalent expression containing the other variable
y=mx+b