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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. a³+b³
y=x or f(x)=x
Opposite ÷ adjacent
Ac+ad+bc+bd
(a+b)(a²-ab+b²)

2. Graphing = or < on a coordinate plane
Opposite ÷ adjacent
x°/360 times (?r²) - where x is the degrees in the angle
When the system of equations have the same slope but different y-intercepts
Shade downwards or to the left

3. Elimination method
(a+b)²
Solving systems by adding or subtracting equations to eliminate a variable
When the system of equations have the same slope but different y-intercepts
(a-b)(a+b)

4. cosine ratio
?r²
y=k/x
A segment connecting the center of a circle to any point on the circle
Adjacent ÷ hypotenuse

5. No solution
2 pi r
When the system of equations have the same slope but different y-intercepts
Equation
An ange whose vertex is the center of the circle

6. Slope-Intercept
You must flip the sign
Replacing one variable with an equivalent expression containing the other variable
x°/360 times (?r²) - where x is the degrees in the angle
y=mx+b

7. Central Angle
-b±[vb²-4ac]/2a
Graphing the system of equations and finding the point at which they intersect
An ange whose vertex is the center of the circle
Replacing one variable with an equivalent expression containing the other variable

8. a²-2ab+b²
(y2-y1)/(x2-x1)
y=x or f(x)=x
When the system of equations have the same slope but different y-intercepts
(a-b)²

9. (a+b)(c+d)
Ac+ad+bc+bd
(a+b)²
When the system of equations have the same slope but different y-intercepts
A=bh

10. Slope intercept form
y=mx+b
y=x or f(x)=x
Ab+ac
When there is a horizontal line that has different x points - but the same y point

11. tangent ratio
Ab+ac
(a+b)(a²-ab+b²)
When there is a vertical line that has different y points - but the same x point
Opposite ÷ adjacent

12. Area of a sector
y=k/x
(a-b)(a²+ab+b²)
x°/360 times (?r²) - where x is the degrees in the angle
Opposite ÷ adjacent

13. Absolute value equation
Ac+ad+bc+bd
(a+b)(a²-ab+b²)
A V-shaped graph that points upward of downward
Dotted line

14. Perimeter (circumference) of a circle
Solid line
2 pi r
The distance from one point on the circle to another point on the circle.
Dotted line

15. Direct Variation
The distance across the circle through the center of the circle.The diameter is twice the radius.
Always
y=kx
y=mx+b

16. Translation
Solid line
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.
The distance from one point on the circle to another point on the circle.

17. Solution of the system of linear equations
C =?d
Ab+ac
Any ordered pair in a system that makes all the equations true
Dotted line

18. One solution
2 pi r
Solid line
Ab+ac
When the system of equations have different slopes

19. a²-b²
Shade downwards or to the left
Equation
(a-b)(a+b)
y=kx

20. a³-b³
You must flip the sign
(a-b)(a²+ab+b²)
The distance across the circle through the center of the circle.The diameter is twice the radius.
(a+b)(a²-ab+b²)

21. Perimeter of a rectangle
2Length + 2width [or (length + width) x 2]
4s (where s = length of a side)
S² - where s = length of a side
An ange whose vertex is the center of the circle

22. Graphing < or > on a coordinate plane
Dotted line
Solid line
y-y1=m(x-x1)
You must flip the sign

23. Inverse Variation
Ab+ac
y=k/x
(y2-y1)/(x2-x1)
Ac+ad+bc+bd

24. Linear parent function
x°/360 times (2 pi r) - where x is the degrees in the angle
When there is a vertical line that has different y points - but the same x point
y=x or f(x)=x
Adjacent ÷ hypotenuse

25. Zero
When there is a horizontal line that has different x points - but the same y point
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.
Ac+ad+bc+bd
A=?r2

26. sine ratio
?r²
Opposite ÷ hypotenuse
Dotted line
Linear functions

27. Undefined
The distance across the circle through the center of the circle.The diameter is twice the radius.
Ab+ac
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

28. Area of rectangle - square - parallelogram
A=bh
4s (where s = length of a side)
A=?r2
(a-b)²

29. Diameter
y=mx+b
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.
y=mx+b

30. Area of a circle
Shade upwards or to the right
?r²
Ac+ad+bc+bd
x°/360 times (2 pi r) - where x is the degrees in the angle

31. Graphing = or = on a coordinate plane
(a-b)(a+b)
½(b1 +b2) x h [or (b1 +b2) x h÷2]
y=x or f(x)=x
Solid line

32. Radius (Radii)
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Ac+ad+bc+bd
(a+b)²
A segment connecting the center of a circle to any point on the circle

33. Graphing = or > on a coordinate plane
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
½(base x height) [or (base x height)÷2]
2 pi r
Shade upwards or to the right

34. A function is ___________ a relation
Always
y=kx
The distance across the circle through the center of the circle.The diameter is twice the radius.
Graphing the system of equations and finding the point at which they intersect

35. Substitution method
When the system of equations have the same slope but different y-intercepts
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.
Ac+ad+bc+bd

36. A parent function is the simplest ____________ of a function
Solid line
Opposite ÷ hypotenuse
Replacing one variable with an equivalent expression containing the other variable
Equation

37. Area of a trapezoid
Any ordered pair in a system that makes all the equations true
Adjacent ÷ hypotenuse
You must flip the sign
½(b1 +b2) x h [or (b1 +b2) x h÷2]

38. Arc
Part of a circle connecting two points on the circle.
When there is a horizontal line that has different x points - but the same y point
A V-shaped graph that points upward of downward
(a-b)(a²+ab+b²)

39. Sector
(y2-y1)/(x2-x1)
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.
x°/360 times (2 pi r) - where x is the degrees in the angle
Linear functions

40. length of a sector
You must flip the sign
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
(a+b)²

41. Point-Slope form
y-y1=m(x-x1)
Adjacent ÷ hypotenuse
Graphs
You must flip the sign

42. Infinitely many solutions
A V-shaped graph that points upward of downward
Linear functions
When the system of equations have the same slope and y-intercept
Dotted line

43. Circle
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).
?d OR 2?r
Solid line

44. Dividing by a negative number in an inequality
y=mx+b
y=x or f(x)=x
You must flip the sign
The distance across the circle through the center of the circle.The diameter is twice the radius.

45. Circumference of a circle
y=mx+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
?d OR 2?r
Always

46. Slope
x°/360 times (?r²) - where x is the degrees in the angle
Opposite ÷ hypotenuse
When the system of equations have the same slope but different y-intercepts
(y2-y1)/(x2-x1)

47. Chord
Ac+ad+bc+bd
A=bh
The distance from one point on the circle to another point on the circle.
You must flip the sign

48. A linear function is a function that _____________ a line
y=x or f(x)=x
Any ordered pair in a system that makes all the equations true
4s (where s = length of a side)
Graphs

49. Area of Circles
A=?r2
-b±[vb²-4ac]/2a
S² - where s = length of a side
Equation

50. Perimeter of a square
4s (where s = length of a side)
When the system of equations have the same slope but different y-intercepts
x°/360 times (?r²) - where x is the degrees in the angle
y=x or f(x)=x