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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. Chord
Shade downwards or to the left
Replacing one variable with an equivalent expression containing the other variable
Equation
The distance from one point on the circle to another point on the circle.

2. Radius (Radii)
y=mx+b
Shade upwards or to the right
(a-b)(a+b)
A segment connecting the center of a circle to any point on the circle

3. a³-b³
Is the set of points which are all the same distance (its radius) from a certian point( the center).
(a-b)(a²+ab+b²)
?d OR 2?r
y-y1=m(x-x1)

4. a(b+c)
Ab+ac
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
Always

5. Point-Slope form
Adjacent ÷ hypotenuse
Shade downwards or to the left
y-y1=m(x-x1)
Solid line

6. Circumference of a circle
A=bh
?d OR 2?r
(a-b)(a²+ab+b²)
Opposite ÷ adjacent

7. Area of rectangle - square - parallelogram
y=k/x
A=bh
(a+b)²
Shade downwards or to the left

8. Slope intercept form
Dotted line
(a-b)²
y=mx+b
A V-shaped graph that points upward of downward

9. A parent function is the simplest ____________ of a function
Any ordered pair in a system that makes all the equations true
A=bh
Equation
S² - where s = length of a side

10. No solution
Replacing one variable with an equivalent expression containing the other variable
½(b1 +b2) x h [or (b1 +b2) x h÷2]
When the system of equations have the same slope but different y-intercepts
½(base x height) [or (base x height)÷2]

11. Sector
Ab+ac
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.
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(base x height) [or (base x height)÷2]

12. Inverse Variation
y=k/x
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Is the set of points which are all the same distance (its radius) from a certian point( the center).
2Length + 2width [or (length + width) x 2]

13. Standard form
y=kx
When the system of equations have different slopes
An ange whose vertex is the center 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

14. Area of a sector
x°/360 times (?r²) - where x is the degrees in the angle
Replacing one variable with an equivalent expression containing the other variable
?d OR 2?r
½(base x height) [or (base x height)÷2]

15. Graphing = or = on a coordinate plane
Solid line
When the system of equations have the same slope and y-intercept
Opposite ÷ hypotenuse
Ab+ac

16. Area of a trapezoid
Any ordered pair in a system that makes all the equations true
Opposite ÷ adjacent
(a-b)(a²+ab+b²)
½(b1 +b2) x h [or (b1 +b2) x h÷2]

17. sine ratio
½(base x height) [or (base x height)÷2]
Opposite ÷ hypotenuse
?r²
y=x or f(x)=x

18. Graphing method
When there is a vertical line that has different y points - but the same x point
y=x or f(x)=x
Graphing the system of equations and finding the point at which they intersect
(a+b)(a²-ab+b²)

19. Substitution method
Replacing one variable with an equivalent expression containing the other variable
4s (where s = length of a side)
Ac+ad+bc+bd
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

20. Elimination method
An ange whose vertex is the center of the circle
(a-b)²
A=?r2
Solving systems by adding or subtracting equations to eliminate a variable

21. a²+2ab+b²
Opposite ÷ adjacent
The distance across the circle through the center of the circle.The diameter is twice the radius.
(a+b)²
C =?d

22. Area of a triangle
Is the set of points which are all the same distance (its radius) from a certian point( the center).
S² - where s = length of a side
The distance from one point on the circle to another point on the circle.
½(base x height) [or (base x height)÷2]

23. 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.
x°/360 times (?r²) - where x is the degrees in the angle
(a+b)²
y=k/x

24. Circle
y=mx+b
Always
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Solid line

25. A function is ___________ a relation
x°/360 times (?r²) - where x is the degrees in the angle
Always
4s (where s = length of a side)
½(b1 +b2) x h [or (b1 +b2) x h÷2]

26. tangent ratio
A=bh
-b±[vb²-4ac]/2a
Opposite ÷ adjacent
(a-b)(a²+ab+b²)

27. Solution of the system of linear equations
C =?d
Any ordered pair in a system that makes all the equations true
Linear functions
(a-b)(a+b)

28. a²-2ab+b²
A=bh
Ab+ac
(a-b)²
When there is a horizontal line that has different x points - but the same y point

29. Linear parent function
Shade downwards or to the left
(a-b)²
y=x or f(x)=x
Opposite ÷ hypotenuse

30. Dividing by a negative number in an inequality
?d OR 2?r
Replacing one variable with an equivalent expression containing the other variable
y=mx+b
You must flip the sign

31. Perimeter of a rectangle
When there is a horizontal line that has different x points - but the same y point
Opposite ÷ adjacent
y-y1=m(x-x1)
2Length + 2width [or (length + width) x 2]

32. Diameter
Linear functions
2 pi r
The distance across the circle through the center of the circle.The diameter is twice the radius.
Replacing one variable with an equivalent expression containing the other variable

33. Area of Circles
y=mx+b
A=?r2
Ab+ac
2 pi r

34. Quadratic Formula
-b±[vb²-4ac]/2a
(a-b)²
(a+b)(a²-ab+b²)
Solving systems by adding or subtracting equations to eliminate a variable

35. Area of a circle
(a-b)(a+b)
Ab+ac
A=bh
?r²

36. Undefined
?r²
Opposite ÷ adjacent
When there is a vertical line that has different y points - but the same x point
(a-b)²

37. Area of a square
x°/360 times (2 pi r) - where x is the degrees in the angle
S² - 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).
When there is a vertical line that has different y points - but the same x point

38. One solution
x°/360 times (?r²) - where x is the degrees in the angle
A V-shaped graph that points upward of downward
Solving systems by adding or subtracting equations to eliminate a variable
When the system of equations have different slopes

39. Graphing = or < on a coordinate plane
Shade downwards or to the left
The distance from one point on the circle to another point on 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
?d OR 2?r

40. (a+b)(c+d)
When the system of equations have the same slope and y-intercept
2Length + 2width [or (length + width) x 2]
Graphs
Ac+ad+bc+bd

41. Zero
Ac+ad+bc+bd
When there is a horizontal line that has different x points - but the same y point
Opposite ÷ adjacent
Opposite ÷ hypotenuse

42. Perimeter of a square
4s (where s = length of a side)
Linear functions
(a+b)(a²-ab+b²)
Ac+ad+bc+bd

43. A linear function is a function that _____________ a line
Graphs
Opposite ÷ hypotenuse
(a+b)²
Linear functions

44. Infinitely many solutions
A=?r2
The distance across the circle through the center of the circle.The diameter is twice the radius.
?r²
When the system of equations have the same slope and y-intercept

45. Slope
A segment connecting the center of a circle to any point on the circle
y-y1=m(x-x1)
(y2-y1)/(x2-x1)
An ange whose vertex is the center of the circle

46. cosine ratio
A V-shaped graph that points upward of downward
y=k/x
2 pi r
Adjacent ÷ hypotenuse

47. a²-b²
(a-b)(a+b)
(a-b)(a²+ab+b²)
The distance from one point on the circle to another point on the circle.
When there is a vertical line that has different y points - but the same x point

48. a³+b³
4s (where s = length of a side)
?d OR 2?r
(a+b)(a²-ab+b²)
Any ordered pair in a system that makes all the equations true

49. Graphing < or > on a coordinate plane
Adjacent ÷ hypotenuse
Dotted line
You must flip the sign
Is the set of points which are all the same distance (its radius) from a certian point( the center).

50. length of a sector
-b±[vb²-4ac]/2a
Is the set of points which are all the same distance (its radius) from a certian point( the center).
x°/360 times (2 pi r) - where x is the degrees in the angle
Shade downwards or to the left