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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. No solution
Solid line
When the system of equations have the same slope but different y-intercepts
(y2-y1)/(x2-x1)
A=bh

2. Solution of the system of linear equations
Opposite ÷ hypotenuse
The distance from one point on the circle to another point on the circle.
Any ordered pair in a system that makes all the equations true
x°/360 times (?r²) - where x is the degrees in the angle

3. Dividing by a negative number in an inequality
A V-shaped graph that points upward of downward
(a-b)²
You must flip the sign
y-y1=m(x-x1)

4. Slope intercept form
Adjacent ÷ hypotenuse
y=mx+b
y=kx
Replacing one variable with an equivalent expression containing the other variable

5. Graphing = or = on a coordinate plane
A=bh
½(base x height) [or (base x height)÷2]
Solid line
y-y1=m(x-x1)

6. Chord
When the system of equations have the same slope but different y-intercepts
The distance from one point on the circle to another point on the circle.
y=x or f(x)=x
y=k/x

7. Undefined
(a-b)(a²+ab+b²)
Any ordered pair in a system that makes all the equations true
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

8. Area of a triangle
½(base x height) [or (base x height)÷2]
A segment connecting the center of a circle to any point on the circle
C =?d
y=kx

9. A linear function is a function that _____________ a line
Equation
Opposite ÷ hypotenuse
Graphs
4s (where s = length of a side)

10. Arc
y=x or f(x)=x
Solid line
Part of a circle connecting two points on the circle.
Linear functions

11. Graphing method
(a-b)(a+b)
Graphing the system of equations and finding the point at which they intersect
Ab+ac
Equation

12. A function is ___________ a relation
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
Always
(y2-y1)/(x2-x1)
The distance across the circle through the center of the circle.The diameter is twice the radius.

13. tangent ratio
Solid line
Ac+ad+bc+bd
Opposite ÷ adjacent
When the system of equations have the same slope but different y-intercepts

14. Zero
A segment connecting the center of a circle to any point on the 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
When there is a horizontal line that has different x points - but the same y point
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.

15. a³+b³
y=k/x
x°/360 times (?r²) - where x is the degrees in the angle
(a+b)(a²-ab+b²)
Any ordered pair in a system that makes all the equations true

16. Absolute value equation
Opposite ÷ hypotenuse
C =?d
Shade upwards or to the right
A V-shaped graph that points upward of downward

17. A parent function is the simplest ____________ of a function
Dotted line
Equation
C =?d
Shade upwards or to the right

18. a²-b²
(a-b)(a+b)
C =?d
Ac+ad+bc+bd
x°/360 times (?r²) - where x is the degrees in the angle

19. Elimination method
When the system of equations have different slopes
Solving systems by adding or subtracting equations to eliminate a variable
(a-b)²
An ange whose vertex is the center of the circle

20. Perimeter (circumference) of a circle
-b±[vb²-4ac]/2a
2 pi r
Graphs
(a-b)²

21. cosine ratio
Equation
(a-b)²
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Adjacent ÷ hypotenuse

22. Translation
The distance across the circle through the center of the circle.The diameter is twice the radius.
You must flip the sign
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.
Any ordered pair in a system that makes all the equations true

23. Infinitely many solutions
Dotted line
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 the same slope but different y-intercepts
When the system of equations have the same slope and y-intercept

24. Slope-Intercept
x°/360 times (?r²) - where x is the degrees in the angle
y=x or f(x)=x
y=mx+b
(a+b)(a²-ab+b²)

25. Slope
(y2-y1)/(x2-x1)
Solving systems by adding or subtracting equations to eliminate a variable
Adjacent ÷ hypotenuse
Ab+ac

26. Area of a square
(a+b)²
S² - where s = length of a side
(y2-y1)/(x2-x1)
You must flip the sign

27. a²+2ab+b²
(a+b)²
x°/360 times (2 pi r) - where x is the degrees in the angle
Graphs
Any ordered pair in a system that makes all the equations true

28. One solution
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
y=k/x
When the system of equations have different slopes

29. Graphing = or < on a coordinate plane
Ac+ad+bc+bd
½(base x height) [or (base x height)÷2]
Shade downwards or to the left
(y2-y1)/(x2-x1)

30. Graphing < or > on a coordinate plane
Dotted line
y=k/x
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.
S² - where s = length of a side

31. Direct Variation
y=kx
(a+b)²
2Length + 2width [or (length + width) x 2]
(a+b)(a²-ab+b²)

32. Perimeter of a rectangle
Ac+ad+bc+bd
(a-b)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
2Length + 2width [or (length + width) x 2]

33. Central Angle
When there is a horizontal line that has different x points - but the same y point
An ange whose vertex is the center of the 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
Opposite ÷ adjacent

34. Sector
A=bh
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.
Shade upwards or to the right
Shade downwards or to the left

35. Inverse Variation
y=k/x
Ab+ac
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Linear functions

36. Area of Circles
A=?r2
y-y1=m(x-x1)
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.
Any ordered pair in a system that makes all the equations true

37. Radius (Radii)
A segment connecting the center of a circle to any point on the circle
½(base x height) [or (base x height)÷2]
When the system of equations have different slopes
4s (where s = length of a side)

38. a(b+c)
The distance across the circle through the center of the circle.The diameter is twice the radius.
Ab+ac
Shade downwards or to the left
An ange whose vertex is the center of the circle

39. Circle
Is the set of points which are all the same distance (its radius) from a certian point( the center).
When the system of equations have the same slope and y-intercept
A V-shaped graph that points upward of downward
-b±[vb²-4ac]/2a

40. Perimeter of a square
4s (where s = length of a side)
Always
Dotted line
The distance across the circle through the center of the circle.The diameter is twice the radius.

41. Area of a trapezoid
Dotted line
When there is a vertical line that has different y points - but the same x point
Opposite ÷ hypotenuse
½(b1 +b2) x h [or (b1 +b2) x h÷2]

42. a²-2ab+b²
y-y1=m(x-x1)
When there is a vertical line that has different y points - but the same x point
(a-b)²
S² - where s = length of a side

43. a³-b³
When the system of equations have different slopes
x°/360 times (?r²) - where x is the degrees in the angle
2 pi r
(a-b)(a²+ab+b²)

44. Standard form
-b±[vb²-4ac]/2a
Solving systems by adding or subtracting equations to eliminate a variable
A V-shaped graph that points upward of downward
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

45. length of a sector
½(b1 +b2) x h [or (b1 +b2) x h÷2]
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
You must flip the sign

46. Point-Slope form
x°/360 times (2 pi r) - where x is the degrees in the angle
y-y1=m(x-x1)
2 pi r
Opposite ÷ adjacent

47. Circumference of a circle
?d OR 2?r
C =?d
Graphing the system of equations and finding the point at which they intersect
Replacing one variable with an equivalent expression containing the other variable

48. sine ratio
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
Opposite ÷ hypotenuse
Graphing the system of equations and finding the point at which they intersect
(a+b)²

49. Circumference Formula
Solid line
(a-b)²
y=k/x
C =?d

50. Quadratic Formula
-b±[vb²-4ac]/2a
An ange whose vertex is the center of the circle
C =?d
You must flip the sign