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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. Dividing by a negative number in an inequality
y=x or f(x)=x
Opposite ÷ hypotenuse
You must flip the sign
A=bh

2. Perimeter of a square
y=k/x
2 pi r
(a-b)(a²+ab+b²)
4s (where s = length of a side)

3. Slope
?d OR 2?r
Solving systems by adding or subtracting equations to eliminate a variable
(y2-y1)/(x2-x1)
Shade upwards or to the right

4. Graphing method
½(base x height) [or (base x height)÷2]
A V-shaped graph that points upward of downward
(a-b)(a²+ab+b²)
Graphing the system of equations and finding the point at which they intersect

5. Area of a sector
x°/360 times (?r²) - where x is the degrees in the angle
(y2-y1)/(x2-x1)
Equation
Is the set of points which are all the same distance (its radius) from a certian point( the center).

6. Area of a triangle
½(base x height) [or (base x height)÷2]
y=x or f(x)=x
(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.

7. 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
Replacing one variable with an equivalent expression containing the other variable
y=mx+b
?d OR 2?r

8. Slope-Intercept
An ange whose vertex is the center of the circle
y=mx+b
When there is a vertical line that has different y points - but the same x point
A=bh

9. Chord
The distance from one point on the circle to another point on the circle.
You must flip the sign
When there is a horizontal line that has different x points - but the same y point
A=?r2

10. A parent function is the simplest ____________ of a function
Always
Equation
?r²
When the system of equations have the same slope but different y-intercepts

11. Area of Circles
Dotted line
y-y1=m(x-x1)
A=?r2
Solving systems by adding or subtracting equations to eliminate a variable

12. Perimeter of a rectangle
½(b1 +b2) x h [or (b1 +b2) x h÷2]
2Length + 2width [or (length + width) x 2]
(a-b)²
You must flip the sign

13. Sector
(a-b)(a+b)
When there is a horizontal line that has different x points - but the same y point
A=?r2
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.

14. Graphing = or > on a coordinate plane
Always
?r²
Shade upwards or to the right
A=bh

15. Graphing = or = on a coordinate plane
Solid line
y-y1=m(x-x1)
Linear functions
(a-b)²

16. Diameter
(a+b)(a²-ab+b²)
The distance across the circle through the center of the circle.The diameter is twice the radius.
Ac+ad+bc+bd
?r²

17. a(b+c)
-b±[vb²-4ac]/2a
A V-shaped graph that points upward of downward
Ab+ac
(y2-y1)/(x2-x1)

18. Solution of the system of linear equations
Any ordered pair in a system that makes all the equations true
y-y1=m(x-x1)
½(base x height) [or (base x height)÷2]
½(b1 +b2) x h [or (b1 +b2) x h÷2]

19. Area of a square
Solving systems by adding or subtracting equations to eliminate a variable
S² - where s = length of a side
y-y1=m(x-x1)
(a-b)(a+b)

20. Perimeter (circumference) of a circle
When the system of equations have the same slope but different y-intercepts
2 pi r
?d OR 2?r
y=x or f(x)=x

21. Substitution method
S² - where s = length of a side
Replacing one variable with an equivalent expression containing the other variable
Part of a circle connecting two points on the circle.
You must flip the sign

22. Quadratic Formula
-b±[vb²-4ac]/2a
?r²
Graphing the system of equations and finding the point at which they intersect
(a+b)(a²-ab+b²)

23. (a+b)(c+d)
y=kx
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.
Graphs
Ac+ad+bc+bd

24. Circle
Is the set of points which are all the same distance (its radius) from a certian point( the center).
An ange whose vertex is the center of the circle
y=k/x
4s (where s = length of a side)

25. All direct variations are ____________________
Part of a circle connecting two points on the circle.
A V-shaped graph that points upward of downward
Linear functions
½(base x height) [or (base x height)÷2]

26. Undefined
y=mx+b
x°/360 times (?r²) - where x is the degrees in the angle
When there is a vertical line that has different y points - but the same x point
(a-b)²

27. Graphing < or > on a coordinate plane
Graphs
Dotted line
Equation
When there is a horizontal line that has different x points - but the same y point

28. Direct Variation
Is the set of points which are all the same distance (its radius) from a certian point( the center).
(a+b)²
Any ordered pair in a system that makes all the equations true
y=kx

29. Central Angle
A=bh
An ange whose vertex is the center of the circle
y=kx
Solving systems by adding or subtracting equations to eliminate a variable

30. Radius (Radii)
Dotted line
Replacing one variable with an equivalent expression containing the other variable
A segment connecting the center of a circle to any point on the circle
Linear functions

31. a²-2ab+b²
Equation
(a-b)²
Ac+ad+bc+bd
(y2-y1)/(x2-x1)

32. A linear function is a function that _____________ a line
y-y1=m(x-x1)
Graphs
(a+b)²
The distance from one point on the circle to another point on the circle.

33. Area of a trapezoid
2 pi r
Linear functions
y=mx+b
½(b1 +b2) x h [or (b1 +b2) x h÷2]

34. length of a sector
S² - where s = length of a side
Graphs
y=x or f(x)=x
x°/360 times (2 pi r) - where x is the degrees in the angle

35. 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.
The distance across the circle through the center of the circle.The diameter is twice the radius.
y=kx
½(b1 +b2) x h [or (b1 +b2) x h÷2]

36. sine ratio
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=bh
Opposite ÷ hypotenuse

37. a²+2ab+b²
(a+b)²
(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.
4s (where s = length of a side)

38. Elimination method
Ac+ad+bc+bd
Solving systems by adding or subtracting equations to eliminate a variable
Solid line
(a+b)(a²-ab+b²)

39. Infinitely many solutions
-b±[vb²-4ac]/2a
The distance from one point on the circle to another point on the circle.
When the system of equations have the same slope and y-intercept
Opposite ÷ adjacent

40. Area of a circle
?r²
Graphs
(a-b)(a+b)
Equation

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

42. a³+b³
(a+b)(a²-ab+b²)
Shade upwards or to the right
When there is a horizontal line that has different x points - but the same y point
When the system of equations have the same slope and y-intercept

43. Circumference of a circle
2Length + 2width [or (length + width) x 2]
y=x or f(x)=x
?d OR 2?r
Shade downwards or to the left

44. Inverse Variation
2 pi r
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
y=k/x
y-y1=m(x-x1)

45. a²-b²
(a-b)(a+b)
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
?r²
½(b1 +b2) x h [or (b1 +b2) x h÷2]

46. tangent ratio
A=?r2
Opposite ÷ adjacent
(y2-y1)/(x2-x1)
When the system of equations have the same slope but different y-intercepts

47. Graphing = or < on a coordinate plane
When there is a vertical line that has different y points - but the same x point
Shade downwards or to the left
Any ordered pair in a system that makes all the equations true
Opposite ÷ adjacent

48. Circumference Formula
C =?d
Solving systems by adding or subtracting equations to eliminate a variable
A=bh
2 pi r

49. Absolute value equation
A V-shaped graph that points upward of downward
S² - where s = length of a side
x°/360 times (2 pi r) - where x is the degrees in the angle
Opposite ÷ hypotenuse

50. Area of rectangle - square - parallelogram
Part of a circle connecting two points on the circle.
A=bh
Ab+ac
Solid line