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. Zero
Always
When there is a horizontal line that has different x points - but the same y point
Solid line
When the system of equations have the same slope but different y-intercepts

2. Inverse Variation
y=mx+b
y=k/x
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.
4s (where s = length of a side)

3. a(b+c)
y=mx+b
(a-b)(a+b)
Ab+ac
Replacing one variable with an equivalent expression containing the other variable

4. Circumference Formula
-b±[vb²-4ac]/2a
C =?d
(a-b)²
Shade upwards or to the right

5. Linear parent function
(a-b)²
C =?d
y=x or f(x)=x
Graphs

6. Absolute value equation
When there is a horizontal line that has different x points - but the same y point
Dotted line
A V-shaped graph that points upward of downward
y=k/x

7. Dividing by a negative number in an inequality
x°/360 times (2 pi r) - where x is the degrees in the angle
Opposite ÷ adjacent
Any ordered pair in a system that makes all the equations true
You must flip the sign

8. Circle
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Adjacent ÷ hypotenuse
y=x or f(x)=x
x°/360 times (?r²) - where x is the degrees in the angle

9. Perimeter of a rectangle
An ange whose vertex is the center of the circle
-b±[vb²-4ac]/2a
2Length + 2width [or (length + width) x 2]
Ab+ac

10. All direct variations are ____________________
Graphing the system of equations and finding the point at which they intersect
Linear functions
Is the set of points which are all the same distance (its radius) from a certian point( the center).
(a+b)²

11. Standard form
½(b1 +b2) x h [or (b1 +b2) x h÷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
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

12. Translation
y=k/x
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.
C =?d
Graphs

13. a²+2ab+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.
The distance from one point on the circle to another point on the circle.
?d OR 2?r
(a+b)²

14. Central Angle
An ange whose vertex is the center of the circle
A=bh
Ac+ad+bc+bd
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.

15. Infinitely many solutions
Dotted line
A V-shaped graph that points upward of downward
When the system of equations have the same slope and y-intercept
y=x or f(x)=x

16. tangent ratio
(a-b)(a²+ab+b²)
Graphs
Opposite ÷ adjacent
Part of a circle connecting two points on the circle.

17. Graphing = or = on a coordinate plane
Solid line
When there is a vertical line that has different y points - but the same x point
(a-b)(a+b)
2 pi r

18. Area of rectangle - square - parallelogram
(y2-y1)/(x2-x1)
A=bh
Ac+ad+bc+bd
A V-shaped graph that points upward of downward

19. No solution
Opposite ÷ adjacent
When the system of equations have the same slope but different y-intercepts
(y2-y1)/(x2-x1)
Part of a circle connecting two points on the circle.

20. Graphing method
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
2Length + 2width [or (length + width) x 2]
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.

21. Slope-Intercept
y=mx+b
Ac+ad+bc+bd
(a-b)(a²+ab+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

22. Area of a trapezoid
(a-b)(a²+ab+b²)
½(b1 +b2) x h [or (b1 +b2) x h÷2]
x°/360 times (?r²) - where x is the degrees in the angle
Always

23. Slope
When the system of equations have the same slope and y-intercept
(y2-y1)/(x2-x1)
-b±[vb²-4ac]/2a
Any ordered pair in a system that makes all the equations true

24. Solution of the system of linear equations
(a+b)(a²-ab+b²)
y=mx+b
Any ordered pair in a system that makes all the equations true
2Length + 2width [or (length + width) x 2]

25. Substitution method
Ac+ad+bc+bd
(a-b)(a+b)
x°/360 times (2 pi r) - where x is the degrees in the angle
Replacing one variable with an equivalent expression containing the other variable

26. a²-2ab+b²
When the system of equations have the same slope but different y-intercepts
(a-b)²
Ab+ac
Graphs

27. Radius (Radii)
A=?r2
A segment connecting the center of a circle to any point on the circle
(a+b)(a²-ab+b²)
Replacing one variable with an equivalent expression containing the other variable

28. Area of a square
(a-b)²
y-y1=m(x-x1)
S² - where s = length of a side
Adjacent ÷ hypotenuse

29. Graphing = or > on a coordinate plane
Shade upwards or to the right
y=x or f(x)=x
The distance from one point on the circle to another point on the circle.
½(base x height) [or (base x height)÷2]

30. Direct Variation
A segment connecting the center of a circle to any point on the circle
Equation
Opposite ÷ adjacent
y=kx

31. (a+b)(c+d)
y-y1=m(x-x1)
4s (where s = length of a side)
A V-shaped graph that points upward of downward
Ac+ad+bc+bd

32. Elimination method
When there is a horizontal line that has different x points - but the same y point
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.
x°/360 times (?r²) - where x is the degrees in the angle
Solving systems by adding or subtracting equations to eliminate a variable

33. Graphing < or > on a coordinate plane
A segment connecting the center of a circle to any point on the circle
(a+b)²
x°/360 times (2 pi r) - where x is the degrees in the angle
Dotted line

34. a³-b³
Part of a circle connecting two points on the circle.
Ac+ad+bc+bd
?d OR 2?r
(a-b)(a²+ab+b²)

35. Area of a sector
x°/360 times (?r²) - where x is the degrees in the angle
½(base x height) [or (base x height)÷2]
Part of a circle connecting two points on the circle.
Solving systems by adding or subtracting equations to eliminate a variable

36. Area of a triangle
Dotted line
C =?d
A V-shaped graph that points upward of downward
½(base x height) [or (base x height)÷2]

37. Area of a circle
?r²
Solid line
x°/360 times (2 pi r) - where x is the degrees in the angle
The distance across the circle through the center of the circle.The diameter is twice the radius.

38. Arc
Ac+ad+bc+bd
y-y1=m(x-x1)
When the system of equations have the same slope but different y-intercepts
Part of a circle connecting two points on the circle.

39. Sector
(a+b)(a²-ab+b²)
Opposite ÷ adjacent
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.
Linear functions

40. Circumference of a circle
Is the set of points which are all the same distance (its radius) from a certian point( the center).
?d OR 2?r
y=mx+b
A=?r2

41. a³+b³
A segment connecting the center of a circle to any point on the circle
Opposite ÷ hypotenuse
(a+b)(a²-ab+b²)
y=k/x

42. Perimeter of a square
Ab+ac
4s (where s = length of a side)
(a+b)(a²-ab+b²)
Equation

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

44. Point-Slope form
y-y1=m(x-x1)
A=bh
The distance across the circle through the center of the circle.The diameter is twice the radius.
Graphs

45. Undefined
2 pi r
x°/360 times (2 pi r) - where x is the degrees in the angle
Is the set of points which are all the same distance (its radius) from a certian point( the center).
When there is a vertical line that has different y points - but the same x point

46. cosine ratio
Adjacent ÷ hypotenuse
Graphing the system of equations and finding the point at which they intersect
Solving systems by adding or subtracting equations to eliminate a variable
Any ordered pair in a system that makes all the equations true

47. Graphing = or < on a coordinate plane
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.
Shade downwards or to the left
y=k/x
4s (where s = length of a side)

48. length of a sector
Always
Solving systems by adding or subtracting equations to eliminate a variable
y=x or f(x)=x
x°/360 times (2 pi r) - where x is the degrees in the angle

49. One solution
Dotted line
You must flip the sign
(a+b)²
When the system of equations have different slopes

50. Slope intercept form
-b±[vb²-4ac]/2a
Shade downwards or to the left
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.