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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. Absolute value equation
Graphs
A V-shaped graph that points upward of downward
Opposite ÷ hypotenuse
A=?r2

2. Area of a trapezoid
The distance across the circle through the center of the circle.The diameter is twice the radius.
Opposite ÷ adjacent
½(b1 +b2) x h [or (b1 +b2) x h÷2]
When the system of equations have the same slope but different y-intercepts

3. Undefined
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
Replacing one variable with an equivalent expression containing the other variable
y=kx

4. cosine ratio
Adjacent ÷ hypotenuse
Graphs
2Length + 2width [or (length + width) x 2]
Is the set of points which are all the same distance (its radius) from a certian point( the center).

5. Perimeter (circumference) of a circle
Opposite ÷ adjacent
When there is a horizontal line that has different x points - but the same y point
2 pi r
y=x or f(x)=x

6. Area of rectangle - square - parallelogram
A=bh
Ac+ad+bc+bd
y=kx
y=mx+b

7. Graphing = or = on a coordinate plane
Linear functions
Solid line
Shade upwards or to the right
(y2-y1)/(x2-x1)

8. All direct variations are ____________________
Linear functions
-b±[vb²-4ac]/2a
Solid line
When there is a vertical line that has different y points - but the same x point

9. Graphing < or > on a coordinate plane
Shade upwards or to the right
?d OR 2?r
Dotted line
You must flip the sign

10. No solution
When the system of equations have the same slope but different y-intercepts
Solving systems by adding or subtracting equations to eliminate a variable
Opposite ÷ adjacent
(a-b)(a²+ab+b²)

11. Radius (Radii)
Equation
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
4s (where s = length of a side)

12. Diameter
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.
-b±[vb²-4ac]/2a
Solid line

13. Graphing = or > on a coordinate plane
½(base x height) [or (base x height)÷2]
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
Shade upwards or to the right
C =?d

14. Area of a sector
?r²
(a-b)²
(a-b)(a²+ab+b²)
x°/360 times (?r²) - where x is the degrees in the angle

15. Translation
y=kx
Solving systems by adding or subtracting equations to eliminate a variable
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

16. One solution
y=mx+b
(a+b)(a²-ab+b²)
2 pi r
When the system of equations have different slopes

17. Central Angle
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.
A segment connecting the center of a circle to any point on the circle
(a+b)(a²-ab+b²)

18. Dividing by a negative number in an inequality
The distance from one point on the circle to another point on the circle.
You must flip the sign
S² - where s = length of a side
The distance across the circle through the center of the circle.The diameter is twice the radius.

19. Circle
Is the set of points which are all the same distance (its radius) from a certian point( the center).
(a+b)(a²-ab+b²)
A segment connecting the center of a circle to any point on 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.

20. A linear function is a function that _____________ a line
½(b1 +b2) x h [or (b1 +b2) x h÷2]
A segment connecting the center of a circle to any point on the circle
Graphs
When there is a vertical line that has different y points - but the same x point

21. a²+2ab+b²
(y2-y1)/(x2-x1)
When the system of equations have the same slope but different y-intercepts
(a+b)²
Adjacent ÷ hypotenuse

22. Zero
When there is a horizontal line that has different x points - but the same y point
(a-b)(a²+ab+b²)
Graphing the system of equations and finding the point at which they intersect
The distance from one point on the circle to another point on the circle.

23. Circumference of a circle
Graphing the system of equations and finding the point at which they intersect
An ange whose vertex is the center of the circle
?d OR 2?r
A=?r2

24. Slope
When the system of equations have the same slope and y-intercept
(y2-y1)/(x2-x1)
Linear functions
Opposite ÷ adjacent

25. 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
(a+b)²
When the system of equations have the same slope and y-intercept
Opposite ÷ adjacent

26. Solution of the system of linear equations
Shade downwards or to the left
Any ordered pair in a system that makes all the equations true
Is the set of points which are all the same distance (its radius) from a certian point( the center).
(a-b)²

27. Sector
y=x or f(x)=x
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-b)(a+b)
Ab+ac

28. Inverse Variation
y=k/x
Ac+ad+bc+bd
4s (where s = length of a side)
x°/360 times (?r²) - where x is the degrees in the angle

29. Chord
Solid line
Always
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 from one point on the circle to another point on the circle.

30. Area of Circles
Shade upwards or to the right
x°/360 times (?r²) - where x is the degrees in the angle
Ac+ad+bc+bd
A=?r2

31. Perimeter of a square
4s (where s = length of a side)
The distance across the circle through the center of the circle.The diameter is twice the radius.
Equation
y=k/x

32. Graphing = or < on a coordinate plane
Part of a circle connecting two points on the circle.
Opposite ÷ hypotenuse
When there is a horizontal line that has different x points - but the same y point
Shade downwards or to the left

33. a²-b²
When there is a vertical line that has different y points - but the same x point
Graphing the system of equations and finding the point at which they intersect
(a-b)(a+b)
An ange whose vertex is the center of the circle

34. Quadratic Formula
Opposite ÷ hypotenuse
Replacing one variable with an equivalent expression containing the other variable
y=mx+b
-b±[vb²-4ac]/2a

35. Substitution method
4s (where s = length of a side)
Graphing the system of equations and finding the point at which they intersect
y=k/x
Replacing one variable with an equivalent expression containing the other variable

36. Elimination method
Solving systems by adding or subtracting equations to eliminate a variable
Dotted line
Part of a circle connecting two points on the circle.
½(b1 +b2) x h [or (b1 +b2) x h÷2]

37. Arc
Adjacent ÷ hypotenuse
x°/360 times (2 pi r) - where x is the degrees in the angle
Part of a circle connecting two points on the circle.
Graphs

38. Area of a square
(y2-y1)/(x2-x1)
y-y1=m(x-x1)
S² - where s = length of a side
½(b1 +b2) x h [or (b1 +b2) x h÷2]

39. Perimeter of a rectangle
y=x or f(x)=x
2Length + 2width [or (length + width) x 2]
Part of a circle connecting two points on the circle.
A=?r2

40. A parent function is the simplest ____________ of a function
Equation
y=mx+b
When the system of equations have different slopes
Adjacent ÷ hypotenuse

41. Graphing method
(a+b)(a²-ab+b²)
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Graphing the system of equations and finding the point at which they intersect
When there is a vertical line that has different y points - but the same x point

42. a³-b³
Solving systems by adding or subtracting equations to eliminate a variable
A=bh
(a-b)(a²+ab+b²)
Ab+ac

43. sine ratio
Opposite ÷ hypotenuse
The distance from one point on the circle to another point on the circle.
Always
When there is a vertical line that has different y points - but the same x point

44. a²-2ab+b²
Replacing one variable with an equivalent expression containing the other variable
(a-b)²
C =?d
2 pi r

45. A function is ___________ a relation
y=x or f(x)=x
Always
(y2-y1)/(x2-x1)
A=?r2

46. Area of a triangle
Solid line
The distance from one point on the circle to another point on the circle.
½(base x height) [or (base x height)÷2]
Replacing one variable with an equivalent expression containing the other variable

47. Area of a circle
S² - where s = length of a side
When the system of equations have the same slope but different y-intercepts
Adjacent ÷ hypotenuse
?r²

48. Point-Slope form
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.
Adjacent ÷ hypotenuse
y-y1=m(x-x1)

49. a(b+c)
4s (where s = length of a side)
(a-b)(a+b)
x°/360 times (2 pi r) - where x is the degrees in the angle
Ab+ac

50. Infinitely many solutions
A segment connecting the center of a circle to any point on the circle
When the system of equations have the same slope and y-intercept
Solving systems by adding or subtracting equations to eliminate a variable
A=?r2