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. Absolute value equation
y=x or f(x)=x
When there is a vertical line that has different y points - but the same x point
You must flip the sign
A V-shaped graph that points upward of downward

2. Point-Slope form
y-y1=m(x-x1)
Linear functions
The distance from one point on the circle to another point on the circle.
Solid line

3. Circumference Formula
(y2-y1)/(x2-x1)
Ac+ad+bc+bd
C =?d
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

4. Area of a trapezoid
y-y1=m(x-x1)
Graphs
½(b1 +b2) x h [or (b1 +b2) x h÷2]
y=mx+b

5. Perimeter of a rectangle
A=?r2
y=mx+b
y=k/x
2Length + 2width [or (length + width) x 2]

6. Circle
(a-b)²
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Graphing the system of equations and finding the point at which they intersect

7. Inverse Variation
y=k/x
When the system of equations have different slopes
?d OR 2?r
A V-shaped graph that points upward of downward

8. A linear function is a function that _____________ a line
Graphs
When the system of equations have the same slope and y-intercept
?r²
Dotted line

9. Undefined
Linear functions
You must flip the sign
When there is a vertical line that has different y points - but the same x point
-b±[vb²-4ac]/2a

10. Area of Circles
A=?r2
y=kx
Graphing the system of equations and finding the point at which they intersect
Linear functions

11. Perimeter of a square
2 pi r
C =?d
4s (where s = length of a side)
Shade upwards or to the right

12. (a+b)(c+d)
Shade upwards or to the right
Ac+ad+bc+bd
Ab+ac
Solving systems by adding or subtracting equations to eliminate a variable

13. Translation
½(b1 +b2) x h [or (b1 +b2) x h÷2]
When the system of equations have the same slope and y-intercept
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

14. Linear parent function
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
Replacing one variable with an equivalent expression containing the other variable
Shade downwards or to the left

15. Diameter
Any ordered pair in a system that makes all the equations true
S² - where s = length of a side
The distance across the circle through the center of the circle.The diameter is twice the radius.
2 pi r

16. Infinitely many solutions
When there is a horizontal line that has different x points - but the same y point
A segment connecting the center of a circle to any point on the circle
When the system of equations have the same slope and y-intercept
A V-shaped graph that points upward of downward

17. Area of a circle
?r²
S² - where s = length of a side
?d OR 2?r
y-y1=m(x-x1)

18. Central Angle
An ange whose vertex is the center of the circle
?r²
(a+b)(a²-ab+b²)
When the system of equations have the same slope but different y-intercepts

19. Quadratic Formula
Shade downwards or to the left
-b±[vb²-4ac]/2a
When there is a horizontal line that has different x points - but the same y point
A segment connecting the center of a circle to any point on the circle

20. a³-b³
Ac+ad+bc+bd
½(base x height) [or (base x height)÷2]
Shade downwards or to the left
(a-b)(a²+ab+b²)

21. a²-b²
When there is a vertical line that has different y points - but the same x point
(y2-y1)/(x2-x1)
When the system of equations have the same slope but different y-intercepts
(a-b)(a+b)

22. Standard form
2Length + 2width [or (length + width) x 2]
x°/360 times (?r²) - where x is the degrees in the angle
C =?d
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

23. a(b+c)
Ab+ac
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
An ange whose vertex is the center of the circle

24. Slope-Intercept
Solving systems by adding or subtracting equations to eliminate a variable
y=mx+b
Any ordered pair in a system that makes all the equations true
The distance from one point on the circle to another point on the circle.

25. Sector
A=bh
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.
Dotted line
A segment connecting the center of a circle to any point on the circle

26. a³+b³
(a+b)(a²-ab+b²)
y=k/x
Replacing one variable with an equivalent expression containing the other variable
Opposite ÷ adjacent

27. Dividing by a negative number in an inequality
Solving systems by adding or subtracting equations to eliminate a variable
You must flip the sign
?d OR 2?r
(a-b)(a²+ab+b²)

28. A parent function is the simplest ____________ of a function
-b±[vb²-4ac]/2a
Graphing the system of equations and finding the point at which they intersect
(a+b)(a²-ab+b²)
Equation

29. a²-2ab+b²
(a-b)(a²+ab+b²)
Part of a circle connecting two points on the circle.
The distance across the circle through the center of the circle.The diameter is twice the radius.
(a-b)²

30. Arc
y=k/x
(a+b)(a²-ab+b²)
Part of a circle connecting two points on the circle.
-b±[vb²-4ac]/2a

31. One solution
When the system of equations have different slopes
(a-b)(a+b)
The distance from one point on the circle to another point on the circle.
The distance across the circle through the center of the circle.The diameter is twice the radius.

32. 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
(a+b)²
y-y1=m(x-x1)
x°/360 times (?r²) - where x is the degrees in the angle

33. Zero
2Length + 2width [or (length + width) x 2]
When there is a horizontal line that has different x points - but the same y point
A V-shaped graph that points upward of downward
y=x or f(x)=x

34. sine ratio
Ab+ac
When there is a horizontal line that has different x points - but the same y point
A=bh
Opposite ÷ hypotenuse

35. Graphing = or = on a coordinate plane
Solid line
Graphing the system of equations and finding the point at which they intersect
?d OR 2?r
-b±[vb²-4ac]/2a

36. Chord
A=bh
The distance from one point on the circle to another point on the circle.
Graphing the system of equations and finding the point at which they intersect
Opposite ÷ adjacent

37. Graphing = or < on a coordinate plane
Shade downwards or to the left
(a+b)(a²-ab+b²)
?d OR 2?r
When the system of equations have different slopes

38. Slope
A V-shaped graph that points upward of downward
?d OR 2?r
(y2-y1)/(x2-x1)
Linear functions

39. Elimination method
y=mx+b
A segment connecting the center of a circle to any point on the circle
x°/360 times (2 pi r) - where x is the degrees in the angle
Solving systems by adding or subtracting equations to eliminate a variable

40. Area of rectangle - square - parallelogram
A=?r2
A=bh
(a-b)(a+b)
x°/360 times (?r²) - where x is the degrees in the angle

41. Graphing = or > on a coordinate plane
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
C =?d
Shade upwards or to the right

42. cosine ratio
y=k/x
(a-b)(a+b)
Shade downwards or to the left
Adjacent ÷ hypotenuse

43. Area of a sector
When the system of equations have the same slope and y-intercept
Graphing the system of equations and finding the point at which they intersect
Adjacent ÷ hypotenuse
x°/360 times (?r²) - where x is the degrees in the angle

44. All direct variations are ____________________
A V-shaped graph that points upward of downward
Linear functions
Is the set of points which are all the same distance (its radius) from a certian point( the center).
x°/360 times (?r²) - where x is the degrees in the angle

45. Area of a triangle
The distance from one point on the circle to another point on the circle.
An ange whose vertex is the center of the circle
½(base x height) [or (base x height)÷2]
Is the set of points which are all the same distance (its radius) from a certian point( the center).

46. Solution of the system of linear equations
(a-b)²
Opposite ÷ hypotenuse
Any ordered pair in a system that makes all the equations true
y=k/x

47. tangent ratio
When the system of equations have the same slope and y-intercept
Opposite ÷ adjacent
Graphing the system of equations and finding the point at which they intersect
y=mx+b

48. Graphing < or > on a coordinate plane
Equation
When there is a horizontal line that has different x points - but the same y point
C =?d
Dotted line

49. Graphing method
Graphing the system of equations and finding the point at which they intersect
Linear functions
Ab+ac
Is the set of points which are all the same distance (its radius) from a certian point( the center).

50. A function is ___________ a relation
Solving systems by adding or subtracting equations to eliminate a variable
Always
(a+b)(a²-ab+b²)
Part of a circle connecting two points on the circle.