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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. Linear parent function
y=x or f(x)=x
Adjacent ÷ hypotenuse
You must flip the sign
-b±[vb²-4ac]/2a

2. Substitution method
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.
Replacing one variable with an equivalent expression containing the other variable
The distance across the circle through the center of the circle.The diameter is twice the radius.

3. (a+b)(c+d)
Ac+ad+bc+bd
Graphing the system of equations and finding the point at which they intersect
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.
S² - where s = length of a side

4. Slope
Ab+ac
(y2-y1)/(x2-x1)
x°/360 times (?r²) - where x is the degrees in the angle
y-y1=m(x-x1)

5. Standard form
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
An ange whose vertex is the center of the circle
(a+b)(a²-ab+b²)

6. Area of a square
Opposite ÷ hypotenuse
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.
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
S² - where s = length of a side

7. Point-Slope form
?r²
The distance from one point on the circle to another point on the circle.
y-y1=m(x-x1)
The distance across the circle through the center of the circle.The diameter is twice the radius.

8. Absolute value equation
A V-shaped graph that points upward of downward
y=x or f(x)=x
Part of a circle connecting two points on the circle.
(a-b)(a+b)

9. Arc
Opposite ÷ adjacent
y=mx+b
Equation
Part of a circle connecting two points on the circle.

10. Perimeter of a rectangle
Replacing one variable with an equivalent expression containing the other variable
Opposite ÷ hypotenuse
You must flip the sign
2Length + 2width [or (length + width) x 2]

11. A parent function is the simplest ____________ of a function
Equation
-b±[vb²-4ac]/2a
Part of a circle connecting two points on the circle.
Shade upwards or to the right

12. Sector
?d OR 2?r
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.
Always

13. a²+2ab+b²
?r²
Replacing one variable with an equivalent expression containing the other variable
Is the set of points which are all the same distance (its radius) from a certian point( the center).
(a+b)²

14. Radius (Radii)
A segment connecting the center of a circle to any point on the circle
Opposite ÷ hypotenuse
-b±[vb²-4ac]/2a
Part of a circle connecting two points on the circle.

15. a(b+c)
Ac+ad+bc+bd
Replacing one variable with an equivalent expression containing the other variable
The distance from one point on the circle to another point on the circle.
Ab+ac

16. Graphing = or > on a coordinate plane
Part of a circle connecting two points on the circle.
Shade downwards or to the left
You must flip the sign
Shade upwards or to the right

17. Area of rectangle - square - parallelogram
(a+b)²
A=bh
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 there is a vertical line that has different y points - but the same x point

18. A function is ___________ a relation
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.
-b±[vb²-4ac]/2a
Always
2 pi r

19. length of a sector
The distance across the circle through the center of the circle.The diameter is twice the radius.
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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
x°/360 times (2 pi r) - where x is the degrees in the angle

20. a²-b²
Shade upwards or to the right
y=mx+b
(a-b)(a+b)
y=x or f(x)=x

21. Graphing = or < on a coordinate plane
Always
y=k/x
S² - where s = length of a side
Shade downwards or to the left

22. Dividing by a negative number in an inequality
(a+b)²
You must flip the sign
Equation
When the system of equations have the same slope but different y-intercepts

23. sine ratio
Opposite ÷ hypotenuse
Opposite ÷ adjacent
(a-b)²
Equation

24. Chord
y-y1=m(x-x1)
Ac+ad+bc+bd
x°/360 times (?r²) - where x is the degrees in the angle
The distance from one point on the circle to another point on the circle.

25. a³+b³
y=k/x
Part of a circle connecting two points on the circle.
(a+b)(a²-ab+b²)
When the system of equations have different slopes

26. a²-2ab+b²
(y2-y1)/(x2-x1)
When the system of equations have the same slope and y-intercept
(a-b)²
Solving systems by adding or subtracting equations to eliminate a variable

27. Circumference of a circle
?d OR 2?r
Solid line
When the system of equations have the same slope and y-intercept
Replacing one variable with an equivalent expression containing the other variable

28. Circumference Formula
C =?d
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.

29. Area of Circles
(a-b)(a²+ab+b²)
?r²
Dotted line
A=?r2

30. a³-b³
Always
Part of a circle connecting two points on the circle.
(a+b)(a²-ab+b²)
(a-b)(a²+ab+b²)

31. Inverse Variation
x°/360 times (?r²) - where x is the degrees in the angle
y=k/x
½(b1 +b2) x h [or (b1 +b2) x h÷2]
y=x or f(x)=x

32. Slope intercept form
When there is a horizontal line that has different x points - but the same y point
y=mx+b
Graphs
y=k/x

33. Area of a sector
When the system of equations have different slopes
(a-b)(a+b)
x°/360 times (?r²) - where x is the degrees in the angle
Opposite ÷ hypotenuse

34. A linear function is a function that _____________ a line
Graphs
(a-b)²
y=mx+b
Replacing one variable with an equivalent expression containing the other variable

35. Elimination method
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
(a+b)(a²-ab+b²)
2Length + 2width [or (length + width) x 2]

36. Area of a trapezoid
Any ordered pair in a system that makes all the equations true
Ac+ad+bc+bd
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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]

37. Translation
When the system of equations have the same slope but different y-intercepts
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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
?d OR 2?r

38. No solution
When the system of equations have the same slope but different y-intercepts
Shade upwards or to the right
When the system of equations have different slopes
-b±[vb²-4ac]/2a

39. Direct Variation
y=kx
Opposite ÷ adjacent
?r²
When the system of equations have the same slope and y-intercept

40. Graphing = or = on a coordinate plane
Solid line
-b±[vb²-4ac]/2a
?r²
An ange whose vertex is the center of the circle

41. Slope-Intercept
½(base x height) [or (base x height)÷2]
y=k/x
y=mx+b
Ac+ad+bc+bd

42. Graphing < or > on a coordinate plane
S² - where s = length of a side
An ange whose vertex is the center of the circle
Dotted line
Any ordered pair in a system that makes all the equations true

43. Infinitely many solutions
2 pi r
Ab+ac
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

44. cosine ratio
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.
y-y1=m(x-x1)
½(base x height) [or (base x height)÷2]
Adjacent ÷ hypotenuse

45. One solution
½(base x height) [or (base x height)÷2]
When the system of equations have different slopes
Replacing one variable with an equivalent expression containing the other variable
A=?r2

46. Quadratic Formula
y=kx
y-y1=m(x-x1)
C =?d
-b±[vb²-4ac]/2a

47. Area of a circle
?r²
Solid line
y=k/x
x°/360 times (2 pi r) - where x is the degrees in the angle

48. Undefined
y=k/x
(a+b)(a²-ab+b²)
(a-b)(a²+ab+b²)
When there is a vertical line that has different y points - but the same x point

49. Diameter
An ange whose vertex is the center of the circle
The distance across the circle through the center of the circle.The diameter is twice the radius.
Part of a circle connecting two points on the circle.
4s (where s = length of a side)

50. Circle
Is the set of points which are all the same distance (its radius) from a certian point( the center).
When the system of equations have different slopes
Always
Ab+ac