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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. 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
Opposite ÷ hypotenuse
A segment connecting the center of a circle to any point on the circle
y=k/x

2. Perimeter of a rectangle
2Length + 2width [or (length + width) x 2]
When there is a vertical line that has different y points - but the same x point
2 pi r
When there is a horizontal line that has different x points - but the same y point

3. Area of a triangle
½(base x height) [or (base x height)÷2]
When the system of equations have different slopes
y=k/x
When the system of equations have the same slope but different y-intercepts

4. Linear parent function
Dotted line
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
Ac+ad+bc+bd

5. No solution
(a-b)(a+b)
Is the set of points which are all the same distance (its radius) from a certian point( the center).
A V-shaped graph that points upward of downward
When the system of equations have the same slope but different y-intercepts

6. Slope-Intercept
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=mx+b
A segment connecting the center of a circle to any point on the circle
(a-b)²

7. Zero
When the system of equations have different slopes
y=kx
When there is a horizontal line that has different x points - but the same y point
Solid line

8. Direct Variation
2 pi r
A segment connecting the center of a circle to any point on the circle
4s (where s = length of a side)
y=kx

9. One solution
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.
When the system of equations have different slopes
Dotted line

10. A parent function is the simplest ____________ of a function
Equation
?r²
Opposite ÷ hypotenuse
Adjacent ÷ hypotenuse

11. Area of rectangle - square - parallelogram
?r²
Solid line
A=bh
(a-b)(a+b)

12. Dividing by a negative number in an inequality
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
You must flip the sign

13. Quadratic Formula
S² - where s = length of a side
½(base x height) [or (base x height)÷2]
Linear functions
-b±[vb²-4ac]/2a

14. Diameter
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.
You must flip the sign
Ab+ac

15. a³+b³
(a+b)(a²-ab+b²)
Ac+ad+bc+bd
x°/360 times (?r²) - 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.

16. Area of a trapezoid
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Part of a circle connecting two points on the circle.
Adjacent ÷ hypotenuse
-b±[vb²-4ac]/2a

17. length of a sector
x°/360 times (2 pi r) - where x is the degrees in the angle
Dotted line
Ac+ad+bc+bd
Shade downwards or to the left

18. Chord
The distance from one point on the circle to another point on the circle.
When there is a horizontal line that has different x points - but the same y point
Ac+ad+bc+bd
Shade upwards or to the right

19. Slope intercept form
?d OR 2?r
A=?r2
S² - where s = length of a side
y=mx+b

20. Slope
2Length + 2width [or (length + width) x 2]
x°/360 times (?r²) - where x is the degrees in the angle
An ange whose vertex is the center of the circle
(y2-y1)/(x2-x1)

21. Translation
An ange whose vertex is the center of the circle
Adjacent ÷ hypotenuse
y=mx+b
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.

22. Perimeter (circumference) of a circle
y=k/x
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Solving systems by adding or subtracting equations to eliminate a variable
2 pi r

23. Area of a square
Any ordered pair in a system that makes all the equations true
y=mx+b
S² - where s = length of a side
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.

24. Graphing = or < on a coordinate plane
y=mx+b
A segment connecting the center of a circle to any point on the circle
Shade downwards or to the left
When there is a horizontal line that has different x points - but the same y point

25. Graphing < or > on a coordinate plane
An ange whose vertex is the center of the circle
Dotted line
y=x or f(x)=x
½(b1 +b2) x h [or (b1 +b2) x h÷2]

26. Undefined
Replacing one variable with an equivalent expression containing the other variable
When there is a vertical line that has different y points - but the same x point
Any ordered pair in a system that makes all the equations true
(a-b)(a²+ab+b²)

27. Perimeter of a square
(a-b)(a+b)
When there is a horizontal line that has different x points - but the same y point
4s (where s = length of a side)
Any ordered pair in a system that makes all the equations true

28. a³-b³
(a-b)(a²+ab+b²)
y=mx+b
When the system of equations have the same slope and y-intercept
When there is a vertical line that has different y points - but the same x point

29. a²-2ab+b²
Linear functions
When the system of equations have the same slope and y-intercept
(a-b)²
-b±[vb²-4ac]/2a

30. Circumference Formula
Equation
C =?d
y=k/x
y=mx+b

31. (a+b)(c+d)
Dotted line
Ac+ad+bc+bd
?r²
x°/360 times (2 pi r) - where x is the degrees in the angle

32. Graphing = or = on a coordinate plane
y=mx+b
When there is a horizontal line that has different x points - but the same y point
C =?d
Solid line

33. Point-Slope form
y-y1=m(x-x1)
Shade downwards or to the left
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

34. Graphing method
Graphing the system of equations and finding the point at which they intersect
Shade upwards or to the right
2 pi r
y=k/x

35. Graphing = or > on a coordinate plane
A segment connecting the center of a circle to any point on the circle
Shade upwards or to the right
-b±[vb²-4ac]/2a
y=mx+b

36. a²+2ab+b²
Adjacent ÷ hypotenuse
4s (where s = length of a side)
Equation
(a+b)²

37. a²-b²
y-y1=m(x-x1)
S² - where s = length of a side
A V-shaped graph that points upward of downward
(a-b)(a+b)

38. Area of Circles
Ab+ac
(y2-y1)/(x2-x1)
Opposite ÷ hypotenuse
A=?r2

39. Circumference of a circle
?d OR 2?r
x°/360 times (?r²) - where x is the degrees in the angle
(a-b)²
The distance across the circle through the center of the circle.The diameter is twice the radius.

40. Solution of the system of linear equations
Any ordered pair in a system that makes all the equations true
Ab+ac
½(b1 +b2) x h [or (b1 +b2) x h÷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.

41. Central Angle
?d OR 2?r
Solving systems by adding or subtracting equations to eliminate a variable
y=k/x
An ange whose vertex is the center of the circle

42. tangent ratio
Opposite ÷ adjacent
Always
When there is a horizontal line that has different x points - but the same y point
You must flip the sign

43. Substitution method
C =?d
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Replacing one variable with an equivalent expression containing the other variable
When there is a vertical line that has different y points - but the same x point

44. Circle
Shade upwards or to the right
Shade downwards or to the left
Is the set of points which are all the same distance (its radius) from a certian point( the center).
A V-shaped graph that points upward of downward

45. Sector
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=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.
Opposite ÷ adjacent

46. Infinitely many solutions
When the system of equations have the same slope and y-intercept
Ac+ad+bc+bd
A=?r2
Replacing one variable with an equivalent expression containing the other variable

47. A linear function is a function that _____________ a line
2 pi r
Graphs
Any ordered pair in a system that makes all the equations true
Always

48. Area of a sector
y=mx+b
S² - where s = length of a side
A segment connecting the center of a circle to any point on the circle
x°/360 times (?r²) - where x is the degrees in the angle

49. A function is ___________ a relation
A=?r2
Always
The distance from one point on the circle to another point on the circle.
(a-b)²

50. Area of a circle
?r²
Equation
Always
(a-b)(a²+ab+b²)