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. Slope intercept form
(a+b)²
Equation
y=mx+b
Opposite ÷ hypotenuse

2. Zero
½(base x height) [or (base x height)÷2]
4s (where s = length of a side)
(a-b)(a²+ab+b²)
When there is a horizontal line that has different x points - but the same y point

3. Area of rectangle - square - parallelogram
?d OR 2?r
A=bh
(a-b)(a+b)
S² - where s = length of a side

4. Substitution method
Replacing one variable with an equivalent expression containing the other variable
An ange whose vertex is the center of the circle
x°/360 times (?r²) - where x is the degrees in the angle
y=x or f(x)=x

5. (a+b)(c+d)
An ange whose vertex is the center of the circle
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Ac+ad+bc+bd
Linear functions

6. Slope
(y2-y1)/(x2-x1)
Any ordered pair in a system that makes all the equations true
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.
(a+b)²

7. Perimeter (circumference) of a circle
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
2 pi r
(y2-y1)/(x2-x1)
The distance across the circle through the center of the circle.The diameter is twice the radius.

8. Graphing method
Graphing the system of equations and finding the point at which they intersect
When the system of equations have different slopes
Solving systems by adding or subtracting equations to eliminate a variable
When the system of equations have the same slope but different y-intercepts

9. A function is ___________ a relation
Always
Graphs
2 pi r
?d OR 2?r

10. Graphing = or = on a coordinate plane
Solid line
(a+b)(a²-ab+b²)
(a-b)(a+b)
(a-b)²

11. Perimeter of a square
4s (where s = length of a side)
Solving systems by adding or subtracting equations to eliminate a variable
Dotted line
A segment connecting the center of a circle to any point on the circle

12. Linear parent function
½(base x height) [or (base x height)÷2]
y=x or f(x)=x
Always
Shade downwards or to the left

13. length of a sector
?r²
x°/360 times (2 pi r) - where x is the degrees in the angle
Always
An ange whose vertex is the center of the circle

14. a²-b²
(a-b)(a+b)
(a+b)²
Ac+ad+bc+bd
Linear functions

15. Inverse Variation
The distance across the circle through the center of the circle.The diameter is twice the radius.
y=kx
y=k/x
Graphs

16. Standard form
C =?d
The distance from one point on the circle to another point on the circle.
When the system of equations have different slopes
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

17. tangent ratio
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
Opposite ÷ adjacent
y=kx

18. Dividing by a negative number in an inequality
You must flip the sign
Linear functions
Opposite ÷ adjacent
Equation

19. Area of a circle
(a+b)²
Always
When the system of equations have the same slope and y-intercept
?r²

20. One solution
Opposite ÷ adjacent
When the system of equations have different slopes
2Length + 2width [or (length + width) x 2]
Any ordered pair in a system that makes all the equations true

21. Circle
Any ordered pair in a system that makes all the equations true
When there is a vertical line that has different y points - but the same x point
Is the set of points which are all the same distance (its radius) from a certian point( the center).
4s (where s = length of a side)

22. No solution
(y2-y1)/(x2-x1)
Linear functions
When the system of equations have the same slope but different y-intercepts
(a+b)(a²-ab+b²)

23. Radius (Radii)
2Length + 2width [or (length + width) x 2]
A segment connecting the center of a circle to any point on the circle
A=bh
(a+b)(a²-ab+b²)

24. Graphing = or > on a coordinate plane
You must flip the sign
Graphs
2Length + 2width [or (length + width) x 2]
Shade upwards or to the right

25. Graphing < or > on a coordinate plane
Solid line
Dotted line
A=?r2
C =?d

26. cosine ratio
A=bh
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Adjacent ÷ hypotenuse
y-y1=m(x-x1)

27. Area of Circles
(a+b)(a²-ab+b²)
Linear functions
A=?r2
(a-b)(a²+ab+b²)

28. Point-Slope form
A V-shaped graph that points upward of downward
Graphs
Always
y-y1=m(x-x1)

29. Area of a triangle
?d OR 2?r
2Length + 2width [or (length + width) x 2]
½(base x height) [or (base x height)÷2]
Solid line

30. Quadratic Formula
y=mx+b
Always
-b±[vb²-4ac]/2a
?d OR 2?r

31. Graphing = or < on a coordinate plane
C =?d
Shade downwards or to the left
(y2-y1)/(x2-x1)
x°/360 times (?r²) - where x is the degrees in the angle

32. Slope-Intercept
Shade downwards or to the left
Opposite ÷ adjacent
When there is a vertical line that has different y points - but the same x point
y=mx+b

33. 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
Graphing the system of equations and finding the point at which they intersect
A=?r2

34. Arc
You must flip the sign
The distance from one point on the circle to another point on the circle.
Shade upwards or to the right
Part of a circle connecting two points on the circle.

35. Elimination method
A=?r2
When there is a horizontal line that has different x points - but the same y point
Solving systems by adding or subtracting equations to eliminate a variable
The distance from one point on the circle to another point on the circle.

36. a²-2ab+b²
You must flip the sign
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
(a-b)²

37. Area of a square
S² - where s = length of a side
When there is a horizontal line that has different x points - but the same y point
x°/360 times (?r²) - where x is the degrees in the angle
Dotted line

38. Area of a trapezoid
½(b1 +b2) x h [or (b1 +b2) x h÷2]
2Length + 2width [or (length + width) x 2]
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

39. Direct Variation
Shade downwards or to the left
When there is a vertical line that has different y points - but the same x point
y=kx
(a-b)(a+b)

40. A parent function is the simplest ____________ of a function
Shade upwards or to the right
Ab+ac
Equation
The distance from one point on the circle to another point on the circle.

41. Central Angle
When the system of equations have different slopes
An ange whose vertex is the center of the circle
y=k/x
Ac+ad+bc+bd

42. All direct variations are ____________________
(a-b)²
2Length + 2width [or (length + width) x 2]
Linear functions
(a-b)(a+b)

43. Diameter
A segment connecting the center of a circle to any point on the circle
Dotted line
(a-b)(a²+ab+b²)
The distance across the circle through the center of the circle.The diameter is twice the radius.

44. a³+b³
Linear functions
A segment connecting the center of a circle to any point on the circle
An ange whose vertex is the center of the circle
(a+b)(a²-ab+b²)

45. Solution of the system of linear equations
½(base x height) [or (base x height)÷2]
Shade upwards or to the right
When there is a horizontal line that has different x points - but the same y point
Any ordered pair in a system that makes all the equations true

46. A linear function is a function that _____________ a line
½(b1 +b2) x h [or (b1 +b2) x h÷2]
4s (where s = length of a side)
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Graphs

47. Area of a sector
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
A=bh
Dotted line

48. a²+2ab+b²
(a+b)²
A=bh
You must flip the sign
y=x or f(x)=x

49. Infinitely many solutions
(a+b)(a²-ab+b²)
When the system of equations have the same slope and y-intercept
Shade downwards or to the left
Ab+ac

50. a(b+c)
The distance from one point on the circle to another point on the circle.
Ab+ac
(a-b)(a²+ab+b²)
When the system of equations have the same slope and y-intercept