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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. Area of rectangle - square - parallelogram
Replacing one variable with an equivalent expression containing the other variable
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(a-b)²
A=bh

2. Slope
½(b1 +b2) x h [or (b1 +b2) x h÷2]
y=x or f(x)=x
?d OR 2?r
(y2-y1)/(x2-x1)

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

4. Circle
A V-shaped graph that points upward of downward
The distance from one point on the circle to another point on the circle.
Opposite ÷ adjacent
Is the set of points which are all the same distance (its radius) from a certian point( the center).

5. Zero
Any ordered pair in a system that makes all the equations true
The distance across the circle through the center of the circle.The diameter is twice the radius.
When there is a horizontal line that has different x points - but the same y point
Linear functions

6. A linear function is a function that _____________ a line
Graphs
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
Ab+ac
When the system of equations have the same slope and y-intercept

7. Diameter
y=kx
(a-b)²
½(b1 +b2) x h [or (b1 +b2) x h÷2]
The distance across the circle through the center of the circle.The diameter is twice the radius.

8. Graphing = or = on a coordinate plane
y=mx+b
A segment connecting the center of a circle to any point on the circle
Always
Solid line

9. Solution of the system of linear equations
When the system of equations have the same slope but different y-intercepts
Graphing the system of equations and finding the point at which they intersect
Solid line
Any ordered pair in a system that makes all the equations true

10. Graphing = or < on a coordinate plane
Solid line
y=mx+b
When the system of equations have the same slope and y-intercept
Shade downwards or to the left

11. Graphing < or > on a coordinate plane
Dotted line
-b±[vb²-4ac]/2a
When the system of equations have different slopes
4s (where s = length of a side)

12. tangent ratio
When the system of equations have the same slope but different y-intercepts
Linear functions
-b±[vb²-4ac]/2a
Opposite ÷ adjacent

13. 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
?d OR 2?r
(a-b)(a+b)
Always

14. Area of a circle
?d OR 2?r
2Length + 2width [or (length + width) x 2]
Linear functions
?r²

15. Area of a sector
y=mx+b
x°/360 times (?r²) - where x is the degrees in the angle
An ange whose vertex is the center of the circle
Solving systems by adding or subtracting equations to eliminate a variable

16. Point-Slope form
½(b1 +b2) x h [or (b1 +b2) x h÷2]
When the system of equations have the same slope and y-intercept
-b±[vb²-4ac]/2a
y-y1=m(x-x1)

17. a³-b³
(a+b)(a²-ab+b²)
y=kx
(a-b)(a²+ab+b²)
Opposite ÷ hypotenuse

18. Area of a trapezoid
y-y1=m(x-x1)
Graphing the system of equations and finding the point at which they intersect
When the system of equations have the same slope and y-intercept
½(b1 +b2) x h [or (b1 +b2) x h÷2]

19. Arc
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(y2-y1)/(x2-x1)
(a-b)(a²+ab+b²)
Part of a circle connecting two points on the circle.

20. Area of Circles
The distance from one point on the circle to another point on the circle.
Opposite ÷ hypotenuse
A=?r2
y=x or f(x)=x

21. Inverse Variation
y=k/x
Shade upwards or to the right
Graphing the system of equations and finding the point at which they intersect
An ange whose vertex is the center of the circle

22. Sector
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.
Ab+ac
Graphs
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.

23. Perimeter of a square
4s (where s = length of a side)
Opposite ÷ adjacent
Shade downwards or to the left
-b±[vb²-4ac]/2a

24. Perimeter (circumference) of a circle
y-y1=m(x-x1)
Solving systems by adding or subtracting equations to eliminate a variable
When there is a vertical line that has different y points - but the same x point
2 pi r

25. Absolute value equation
Opposite ÷ hypotenuse
Equation
Any ordered pair in a system that makes all the equations true
A V-shaped graph that points upward of downward

26. Infinitely many solutions
When the system of equations have the same slope and y-intercept
y=k/x
y-y1=m(x-x1)
Graphs

27. Graphing method
Replacing one variable with an equivalent expression containing the other variable
½(base x height) [or (base x height)÷2]
-b±[vb²-4ac]/2a
Graphing the system of equations and finding the point at which they intersect

28. Linear parent function
Graphing the system of equations and finding the point at which they intersect
When the system of equations have the same slope but different y-intercepts
2Length + 2width [or (length + width) x 2]
y=x or f(x)=x

29. Quadratic Formula
An ange whose vertex is the center of the circle
-b±[vb²-4ac]/2a
You must flip the sign
2Length + 2width [or (length + width) x 2]

30. a²-b²
(a-b)(a+b)
Linear functions
Opposite ÷ adjacent
When there is a vertical line that has different y points - but the same x point

31. Central Angle
An ange whose vertex is the center of the circle
(a-b)(a+b)
When the system of equations have the same slope and y-intercept
y-y1=m(x-x1)

32. Elimination method
Ac+ad+bc+bd
Solving systems by adding or subtracting equations to eliminate a variable
y-y1=m(x-x1)
When the system of equations have different slopes

33. Chord
½(base x height) [or (base x height)÷2]
A V-shaped graph that points upward of downward
The distance from one point on the circle to another point on the circle.
A segment connecting the center of a circle to any point on the circle

34. a(b+c)
?d OR 2?r
Ab+ac
Any ordered pair in a system that makes all the equations true
You must flip the sign

35. Circumference Formula
y=k/x
C =?d
Any ordered pair in a system that makes all the equations true
y=x or f(x)=x

36. Undefined
Equation
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.
When there is a horizontal line that has different x points - but the same y point
When there is a vertical line that has different y points - but the same x point

37. length of a sector
Ab+ac
Opposite ÷ adjacent
x°/360 times (2 pi r) - where x is the degrees in the angle
(a+b)(a²-ab+b²)

38. Direct Variation
y-y1=m(x-x1)
y=kx
Dotted line
Opposite ÷ adjacent

39. a²+2ab+b²
(y2-y1)/(x2-x1)
(a+b)²
When there is a horizontal line that has different x points - but the same y point
y-y1=m(x-x1)

40. One solution
Ab+ac
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
When the system of equations have different slopes
An ange whose vertex is the center of the circle

41. Circumference of a 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
Replacing one variable with an equivalent expression containing the other variable
Shade upwards or to the right

42. Radius (Radii)
x°/360 times (2 pi r) - where x is the degrees in the angle
When the system of equations have the same slope and y-intercept
Linear functions
A segment connecting the center of a circle to any point on the circle

43. (a+b)(c+d)
4s (where s = length of a side)
Ac+ad+bc+bd
A=bh
When the system of equations have different slopes

44. sine ratio
y=x or f(x)=x
S² - where s = length of a side
y=mx+b
Opposite ÷ hypotenuse

45. Dividing by a negative number in an inequality
Equation
C =?d
Ac+ad+bc+bd
You must flip the sign

46. No solution
The distance across the circle through the center of the circle.The diameter is twice the radius.
Equation
When the system of equations have the same slope but different y-intercepts
A V-shaped graph that points upward of downward

47. Area of a square
S² - where s = length of a side
You must flip the sign
2 pi r
Always

48. Substitution method
Replacing one variable with an equivalent expression containing the other variable
(a+b)²
x°/360 times (2 pi r) - where x is the degrees in the angle
2 pi r

49. a²-2ab+b²
(a+b)²
Linear functions
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(a-b)²

50. All direct variations are ____________________
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.
Always
When the system of equations have different slopes
Linear functions