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. Perimeter of a square
(a+b)(a²-ab+b²)
4s (where s = length of a side)
Replacing one variable with an equivalent expression containing the other variable
y=k/x

2. Central Angle
Opposite ÷ adjacent
Ab+ac
The distance across the circle through the center of the circle.The diameter is twice the radius.
An ange whose vertex is the center of the circle

3. Undefined
-b±[vb²-4ac]/2a
y=kx
Dotted line
When there is a vertical line that has different y points - but the same x point

4. Area of a 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.
?r²
Adjacent ÷ hypotenuse
Ac+ad+bc+bd

5. Zero
When there is a horizontal line that has different x points - but the same y point
(a-b)(a+b)
A=?r2
When the system of equations have the same slope and y-intercept

6. 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).
Any ordered pair in a system that makes all the equations true
Dotted line
Graphing the system of equations and finding the point at which they intersect

7. Slope-Intercept
The distance across the circle through the center of the circle.The diameter is twice the radius.
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.
y=x or f(x)=x
y=mx+b

8. A function is ___________ a relation
?r²
Any ordered pair in a system that makes all the equations true
Always
x°/360 times (2 pi r) - where x is the degrees in the angle

9. a³+b³
?r²
(a+b)(a²-ab+b²)
The distance across the circle through the center of the circle.The diameter is twice the radius.
Shade downwards or to the left

10. All direct variations are ____________________
y=mx+b
When there is a vertical line that has different y points - but the same x point
Linear functions
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

11. Point-Slope form
2 pi r
y-y1=m(x-x1)
y=x or f(x)=x
(a+b)(a²-ab+b²)

12. Infinitely many solutions
When the system of equations have the same slope and y-intercept
An ange whose vertex is the center of the circle
x°/360 times (2 pi r) - where x is the degrees in the angle
Linear functions

13. Perimeter of a rectangle
(a+b)²
C =?d
2Length + 2width [or (length + width) x 2]
(a-b)²

14. Area of a square
S² - where s = length of a side
?d OR 2?r
Shade upwards or to the right
(a-b)(a²+ab+b²)

15. Circumference Formula
Linear functions
A V-shaped graph that points upward of downward
Graphing the system of equations and finding the point at which they intersect
C =?d

16. Graphing = or > on a coordinate plane
Ac+ad+bc+bd
Solid line
Adjacent ÷ hypotenuse
Shade upwards or to the right

17. Radius (Radii)
Shade downwards or to the left
You must flip the sign
A segment connecting the center of a circle to any point on the circle
A=bh

18. Inverse Variation
Solid line
y=k/x
Opposite ÷ hypotenuse
Dotted line

19. Absolute value equation
Opposite ÷ adjacent
A V-shaped graph that points upward of downward
2 pi r
Shade downwards or to the left

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

21. Area of a trapezoid
An ange whose vertex is the center of the circle
Replacing one variable with an equivalent expression containing the other variable
2 pi r
½(b1 +b2) x h [or (b1 +b2) x h÷2]

22. 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.
y=mx+b
The distance from one point on the circle to another point on the circle.
y=x or f(x)=x

23. Area of rectangle - square - parallelogram
y-y1=m(x-x1)
A=bh
x°/360 times (?r²) - where x is the degrees in the angle
½(base x height) [or (base x height)÷2]

24. a²+2ab+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.
When the system of equations have different slopes
Graphing the system of equations and finding the point at which they intersect
(a+b)²

25. Slope intercept form
Linear functions
y=mx+b
A segment connecting the center of a circle to any point on the circle
Part of a circle connecting two points on the circle.

26. Circumference of a circle
Graphing the system of equations and finding the point at which they intersect
x°/360 times (?r²) - where x is the degrees in the angle
A=bh
?d OR 2?r

27. a²-2ab+b²
(a-b)²
(a+b)²
Always
When there is a horizontal line that has different x points - but the same y point

28. sine ratio
Opposite ÷ hypotenuse
y=k/x
An ange whose vertex is the center of the circle
When there is a horizontal line that has different x points - but the same y point

29. No solution
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.
Always
When the system of equations have the same slope but different y-intercepts
C =?d

30. Sector
y=mx+b
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=?r2
(a+b)(a²-ab+b²)

31. A linear function is a function that _____________ a line
(a-b)²
Shade downwards or to the left
Graphs
Shade upwards or to the right

32. Perimeter (circumference) of a circle
x°/360 times (2 pi r) - where x is the degrees in the angle
When there is a horizontal line that has different x points - but the same y point
y-y1=m(x-x1)
2 pi r

33. Graphing method
C =?d
y=kx
Graphing the system of equations and finding the point at which they intersect
(a+b)²

34. Solution of the system of linear equations
When the system of equations have different slopes
When the system of equations have the same slope and y-intercept
(a-b)(a+b)
Any ordered pair in a system that makes all the equations true

35. cosine ratio
?d OR 2?r
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
Adjacent ÷ hypotenuse

36. tangent ratio
Opposite ÷ hypotenuse
Opposite ÷ adjacent
Dotted line
2Length + 2width [or (length + width) x 2]

37. a²-b²
(a-b)(a+b)
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.
(y2-y1)/(x2-x1)
The distance from one point on the circle to another point on the circle.

38. Quadratic Formula
½(b1 +b2) x h [or (b1 +b2) x h÷2]
-b±[vb²-4ac]/2a
Part of a circle connecting two points on the circle.
Graphing the system of equations and finding the point at which they intersect

39. (a+b)(c+d)
The distance from one point on the circle to another point on the circle.
When there is a vertical line that has different y points - but the same x point
Ac+ad+bc+bd
½(b1 +b2) x h [or (b1 +b2) x h÷2]

40. Linear parent function
Always
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
A segment connecting the center of a circle to any point on the circle

41. Elimination method
Solving systems by adding or subtracting equations to eliminate a variable
Opposite ÷ hypotenuse
(a+b)(a²-ab+b²)
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.

42. Arc
Part of a circle connecting two points on the circle.
Ab+ac
Solving systems by adding or subtracting equations to eliminate a variable
You must flip the sign

43. a³-b³
½(base x height) [or (base x height)÷2]
(a-b)(a²+ab+b²)
When the system of equations have the same slope and y-intercept
The distance across the circle through the center of the circle.The diameter is twice the radius.

44. 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.
Solid line
(y2-y1)/(x2-x1)
Graphs

45. 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
When there is a vertical line that has different y points - but the same x point
y=mx+b
A=bh

46. Circle
Graphing the system of equations and finding the point at which they intersect
y=mx+b
Is the set of points which are all the same distance (its radius) from a certian point( the center).
When there is a horizontal line that has different x points - but the same y point

47. Area of a triangle
½(base x height) [or (base x height)÷2]
When there is a horizontal line that has different x points - but the same y point
y=k/x
An ange whose vertex is the center of the circle

48. A parent function is the simplest ____________ of a function
S² - where s = length of a side
Always
y=k/x
Equation

49. Area of a sector
x°/360 times (?r²) - where x is the degrees in the angle
y=kx
A V-shaped graph that points upward of downward
?d OR 2?r

50. length of a sector
A=bh
You must flip the sign
x°/360 times (2 pi r) - where x is the degrees in the angle
When the system of equations have different slopes