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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. tangent ratio
When the system of equations have different slopes
Opposite ÷ adjacent
-b±[vb²-4ac]/2a
The distance from one point on the circle to another point on the circle.

2. A function is ___________ a relation
A segment connecting the center of a circle to any point on the circle
(a-b)²
Always
y=x or f(x)=x

3. Absolute value equation
Replacing one variable with an equivalent expression containing the other variable
A V-shaped graph that points upward of downward
(a-b)²
(y2-y1)/(x2-x1)

4. Graphing method
Graphing the system of equations and finding the point at which they intersect
Any ordered pair in a system that makes all the equations true
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
The distance across the circle through the center of the circle.The diameter is twice the radius.

5. Direct Variation
y=k/x
y=x or f(x)=x
Graphing the system of equations and finding the point at which they intersect
y=kx

6. Graphing = or > on a coordinate plane
Shade upwards or to the right
-b±[vb²-4ac]/2a
A=?r2
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.

7. Slope
Adjacent ÷ hypotenuse
When there is a vertical line that has different y points - but the same x point
?d OR 2?r
(y2-y1)/(x2-x1)

8. a(b+c)
Ab+ac
-b±[vb²-4ac]/2a
Ac+ad+bc+bd
x°/360 times (2 pi r) - where x is the degrees in the angle

9. Inverse Variation
y=k/x
Part of a circle connecting two points on the circle.
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Equation

10. Area of a circle
A segment connecting the center of a circle to any point on the circle
?r²
2Length + 2width [or (length + width) x 2]
When the system of equations have different slopes

11. (a+b)(c+d)
Shade downwards or to the left
You must flip the sign
Ac+ad+bc+bd
Shade upwards or to the right

12. Perimeter (circumference) of a circle
C =?d
When there is a vertical line that has different y points - but the same x point
Ab+ac
2 pi r

13. Arc
S² - where s = length of a side
(a+b)²
When there is a vertical line that has different y points - but the same x point
Part of a circle connecting two points on the circle.

14. a²+2ab+b²
S² - where s = length of a side
Always
(a+b)²
Opposite ÷ hypotenuse

15. Area of Circles
4s (where s = length of a side)
x°/360 times (2 pi r) - where x is the degrees in the angle
A=?r2
When the system of equations have different slopes

16. A parent function is the simplest ____________ of a function
(a+b)(a²-ab+b²)
Equation
x°/360 times (?r²) - where x is the degrees in the angle
Part of a circle connecting two points on the circle.

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

18. Area of a square
S² - where s = length of a side
A=bh
Any ordered pair in a system that makes all the equations true
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.

19. Sector
?d OR 2?r
Opposite ÷ hypotenuse
The distance across the circle through the center of the circle.The diameter is twice the radius.
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.

20. Slope intercept form
y=mx+b
You must flip the sign
S² - where s = length of a side
2 pi r

21. No solution
Opposite ÷ hypotenuse
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 the system of equations have different slopes
When the system of equations have the same slope but different y-intercepts

22. Zero
(a+b)²
(a-b)(a²+ab+b²)
When there is a horizontal line that has different x points - but the same y point
-b±[vb²-4ac]/2a

23. cosine ratio
½(base x height) [or (base x height)÷2]
Adjacent ÷ hypotenuse
When the system of equations have different slopes
When the system of equations have the same slope and y-intercept

24. Elimination method
You must flip the sign
Solving systems by adding or subtracting equations to eliminate a variable
y=x or f(x)=x
4s (where s = length of a side)

25. All direct variations are ____________________
(a+b)(a²-ab+b²)
Linear functions
(a-b)²
Graphs

26. Point-Slope form
½(b1 +b2) x h [or (b1 +b2) x h÷2]
y-y1=m(x-x1)
A=bh
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

27. Linear parent function
Dotted line
½(base x height) [or (base x height)÷2]
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.

28. Area of a sector
x°/360 times (?r²) - where x is the degrees in the angle
An ange whose vertex is the center of the circle
(y2-y1)/(x2-x1)
Adjacent ÷ hypotenuse

29. 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.
When there is a vertical line that has different y points - but the same x point
When the system of equations have different slopes
(a+b)(a²-ab+b²)

30. Graphing = or = on a coordinate plane
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
When the system of equations have the same slope and y-intercept
Solid line

31. Circumference of a circle
Solving systems by adding or subtracting equations to eliminate a variable
y=x or f(x)=x
?d OR 2?r
When there is a vertical line that has different y points - but the same x point

32. a²-b²
Opposite ÷ hypotenuse
(a-b)(a+b)
y=mx+b
y=mx+b

33. a³+b³
Graphing the system of equations and finding the point at which they intersect
y=mx+b
(a+b)(a²-ab+b²)
Solving systems by adding or subtracting equations to eliminate a variable

34. length of a sector
(a-b)(a²+ab+b²)
x°/360 times (2 pi r) - where x is the degrees in the angle
Dotted line
A segment connecting the center of a circle to any point on the circle

35. Solution of the system of linear equations
The distance from one point on the circle to another point on the circle.
You must flip the sign
Any ordered pair in a system that makes all the equations true
S² - where s = length of a side

36. Undefined
When there is a vertical line that has different y points - but the same x point
Equation
Replacing one variable with an equivalent expression containing the other variable
When the system of equations have the same slope but different y-intercepts

37. a³-b³
x°/360 times (?r²) - where x is the degrees in the angle
(a-b)²
Solid line
(a-b)(a²+ab+b²)

38. Area of a trapezoid
C =?d
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
½(b1 +b2) x h [or (b1 +b2) x h÷2]

39. Circle
A V-shaped graph that points upward of downward
Is the set of points which are all the same distance (its radius) from a certian point( the center).
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.
Graphs

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

41. Graphing < or > on a coordinate plane
Dotted line
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
The distance across the circle through the center of the circle.The diameter is twice the radius.

42. Chord
The distance from one point on the circle to another point on the circle.
(a+b)(a²-ab+b²)
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.
Is the set of points which are all the same distance (its radius) from a certian point( the center).

43. Dividing by a negative number in an inequality
Solid line
Any ordered pair in a system that makes all the equations true
You must flip the sign
y=kx

44. One solution
You must flip the sign
When the system of equations have different slopes
When there is a horizontal line that has different x points - but the same y point
The distance from one point on the circle to another point on the circle.

45. Graphing = or < on a coordinate plane
y=x or f(x)=x
Shade downwards or to the left
An ange whose vertex is the center of the circle
½(b1 +b2) x h [or (b1 +b2) x h÷2]

46. Radius (Radii)
Solid line
(a-b)(a+b)
A segment connecting the center of a circle to any point on the circle
-b±[vb²-4ac]/2a

47. Perimeter of a rectangle
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
When there is a horizontal line that has different x points - but the same y point
2Length + 2width [or (length + width) x 2]

48. Infinitely many solutions
When the system of equations have the same slope and y-intercept
y-y1=m(x-x1)
?r²
Graphing the system of equations and finding the point at which they intersect

49. Diameter
Dotted line
A V-shaped graph that points upward of downward
The distance across the circle through the center of the circle.The diameter is twice the radius.
Always

50. A linear function is a function that _____________ a line
?d OR 2?r
An ange whose vertex is the center of the circle
A V-shaped graph that points upward of downward
Graphs