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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. Graphing = or > on a coordinate plane
A V-shaped graph that points upward of downward
Linear functions
Shade upwards or to the right
A=?r2

2. Graphing method
?r²
A V-shaped graph that points upward of downward
Part of a circle connecting two points on the circle.
Graphing the system of equations and finding the point at which they intersect

3. Area of a trapezoid
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
½(b1 +b2) x h [or (b1 +b2) x h÷2]
When the system of equations have the same slope and y-intercept

4. Point-Slope form
(a-b)²
A=?r2
y-y1=m(x-x1)
y=kx

5. Area of rectangle - square - parallelogram
Linear functions
Ac+ad+bc+bd
A=bh
You must flip the sign

6. tangent ratio
y=k/x
Graphs
½(base x height) [or (base x height)÷2]
Opposite ÷ adjacent

7. a²-2ab+b²
A=?r2
When the system of equations have different slopes
(a-b)²
(a+b)(a²-ab+b²)

8. Perimeter of a square
2 pi r
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 (2 pi r) - where x is the degrees in the angle
4s (where s = length of a side)

9. Slope
Opposite ÷ adjacent
Part of a circle connecting two points on the circle.
(y2-y1)/(x2-x1)
Equation

10. A function is ___________ a relation
Always
y=kx
(a+b)²
Linear functions

11. Inverse Variation
y=k/x
S² - where s = length of a side
Adjacent ÷ hypotenuse
(a+b)²

12. Solution of the system of linear equations
A=bh
y=k/x
Opposite ÷ hypotenuse
Any ordered pair in a system that makes all the equations true

13. Perimeter of a rectangle
S² - where s = length of a side
Ab+ac
Linear functions
2Length + 2width [or (length + width) x 2]

14. Dividing by a negative number in an inequality
You must flip the sign
2 pi r
(a+b)(a²-ab+b²)
Graphs

15. sine ratio
y=x or f(x)=x
An ange whose vertex is the center of the circle
Opposite ÷ hypotenuse
y=mx+b

16. Chord
The distance from one point on the circle to another point on the circle.
4s (where s = length of a side)
Graphs
Replacing one variable with an equivalent expression containing the other variable

17. Slope intercept form
Graphing the system of equations and finding the point at which they intersect
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.
y=mx+b

18. length of a sector
(a-b)²
(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

19. Central Angle
Opposite ÷ hypotenuse
An ange whose vertex is the center of the circle
-b±[vb²-4ac]/2a
Shade downwards or to the left

20. A parent function is the simplest ____________ of a function
y=x or f(x)=x
Equation
Opposite ÷ hypotenuse
(a+b)(a²-ab+b²)

21. Graphing < or > on a coordinate plane
Dotted line
Opposite ÷ adjacent
S² - where s = length of a side
Solving systems by adding or subtracting equations to eliminate a variable

22. a²+2ab+b²
(y2-y1)/(x2-x1)
A segment connecting the center of a circle to any point on the circle
(a+b)²
When there is a vertical line that has different y points - but the same x point

23. Arc
The distance across the circle through the center of the circle.The diameter is twice the radius.
Shade downwards or to the left
Part of a circle connecting two points on the circle.
y=kx

24. 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)(a²+ab+b²)
When the system of equations have different slopes
y-y1=m(x-x1)

25. Quadratic Formula
Dotted line
-b±[vb²-4ac]/2a
Solving systems by adding or subtracting equations to eliminate a variable
y=mx+b

26. Circumference Formula
(a-b)²
½(base x height) [or (base x height)÷2]
C =?d
(a+b)(a²-ab+b²)

27. Radius (Radii)
A segment connecting the center of a circle to any point on the circle
y=mx+b
When there is a vertical line that has different y points - but the same x point
y=x or f(x)=x

28. a³-b³
A=bh
(a-b)(a²+ab+b²)
The distance across the circle through the center of the circle.The diameter is twice the radius.
2 pi r

29. (a+b)(c+d)
Graphing the system of equations and finding the point at which they intersect
Ac+ad+bc+bd
Shade downwards or to the left
A segment connecting the center of a circle to any point on the circle

30. Direct Variation
y=kx
A=?r2
When the system of equations have the same slope and y-intercept
Linear functions

31. Diameter
A=?r2
The distance across the circle through the center of the circle.The diameter is twice the radius.
x°/360 times (2 pi r) - where x is the degrees in the angle
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

32. a(b+c)
2 pi r
Ab+ac
Adjacent ÷ hypotenuse
Shade upwards or to the right

33. Substitution method
A=?r2
Linear functions
y=x or f(x)=x
Replacing one variable with an equivalent expression containing the other variable

34. Slope-Intercept
Opposite ÷ adjacent
y=mx+b
Replacing one variable with an equivalent expression containing the other variable
Linear functions

35. Infinitely many solutions
Solving systems by adding or subtracting equations to eliminate a variable
y=kx
When the system of equations have the same slope and y-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

36. A linear function is a function that _____________ a line
(a-b)(a²+ab+b²)
Graphs
y=k/x
-b±[vb²-4ac]/2a

37. Area of Circles
A segment connecting the center of a circle to any point on the circle
?d OR 2?r
Part of a circle connecting two points on the circle.
A=?r2

38. Elimination method
Solving systems by adding or subtracting equations to eliminate a variable
When there is a horizontal line that has different x points - but the same y point
Opposite ÷ hypotenuse
Shade upwards or to the right

39. Area of a triangle
A=bh
The distance across the circle through the center of the circle.The diameter is twice the radius.
½(base x height) [or (base x height)÷2]
y-y1=m(x-x1)

40. Translation
The distance across the circle through the center of the circle.The diameter is twice the radius.
-b±[vb²-4ac]/2a
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.
(a-b)(a+b)

41. Circle
When the system of equations have the same slope but different y-intercepts
x°/360 times (2 pi r) - where x is the degrees in the angle
Is the set of points which are all the same distance (its radius) from a certian point( the center).
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.

42. Zero
Any ordered pair in a system that makes all the equations true
When there is a horizontal line that has different x points - but the same y point
y=k/x
½(base x height) [or (base x height)÷2]

43. Linear parent function
(a-b)(a+b)
y=x or f(x)=x
Solid line
½(b1 +b2) x h [or (b1 +b2) x h÷2]

44. Graphing = or < on a coordinate plane
Solving systems by adding or subtracting equations to eliminate a variable
Shade downwards or to the left
x°/360 times (?r²) - where x is the degrees in the angle
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.

45. a²-b²
You must flip the sign
(a-b)(a+b)
The distance across the circle through the center of the circle.The diameter is twice the radius.
(y2-y1)/(x2-x1)

46. No solution
?r²
Dotted line
When the system of equations have the same slope but different y-intercepts
C =?d

47. Area of a circle
Graphs
?r²
Equation
Adjacent ÷ hypotenuse

48. Undefined
Solving systems by adding or subtracting equations to eliminate a variable
When there is a horizontal line that has different x points - but the same y point
(a-b)(a+b)
When there is a vertical line that has different y points - but the same x point

49. Area of a square
Any ordered pair in a system that makes all the equations true
S² - where s = length of a side
Linear functions
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.

50. cosine ratio
When there is a horizontal line that has different x points - but the same y point
Always
Graphs
Adjacent ÷ hypotenuse