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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. A linear function is a function that _____________ a line
Part of a circle connecting two points on the circle.
Graphs
Is the set of points which are all the same distance (its radius) from a certian point( the center).
4s (where s = length of a side)

2. Graphing method
?d OR 2?r
Graphing the system of equations and finding the point at which they intersect
(a+b)²
Linear functions

3. Arc
Shade upwards or to the right
y=mx+b
Part of a circle connecting two points on the circle.
Opposite ÷ adjacent

4. Standard form
Solving systems by adding or subtracting equations to eliminate a variable
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
Equation
The distance across the circle through the center of the circle.The diameter is twice the radius.

5. a(b+c)
Ab+ac
y=kx
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 different slopes

6. Perimeter of a square
An ange whose vertex is the center of the circle
?r²
Part of a circle connecting two points on the circle.
4s (where s = length of a side)

7. Perimeter of a rectangle
A segment connecting the center of a circle to any point on the circle
C =?d
x°/360 times (?r²) - where x is the degrees in the angle
2Length + 2width [or (length + width) x 2]

8. Graphing = or > on a coordinate plane
Shade upwards or to the right
?d OR 2?r
y=k/x
y=mx+b

9. Area of a trapezoid
An ange whose vertex is the center of the circle
Shade upwards or to the right
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(b1 +b2) x h [or (b1 +b2) x h÷2]

10. Perimeter (circumference) of a circle
y=k/x
You must flip the sign
Ab+ac
2 pi r

11. Central Angle
An ange whose vertex is the center of the circle
The distance from one point on the circle to another point on the circle.
Equation
x°/360 times (2 pi r) - where x is the degrees in the angle

12. a²-2ab+b²
(a-b)²
Linear functions
Graphs
Any ordered pair in a system that makes all the equations true

13. Chord
(a-b)(a+b)
Solid line
Any ordered pair in a system that makes all the equations true
The distance from one point on the circle to another point on the circle.

14. Dividing by a negative number in an inequality
2Length + 2width [or (length + width) x 2]
y=mx+b
You must flip the sign
½(base x height) [or (base x height)÷2]

15. Area of Circles
A=?r2
When the system of equations have the same slope and y-intercept
Any ordered pair in a system that makes all the equations true
2Length + 2width [or (length + width) x 2]

16. Substitution method
Shade upwards or to the right
A V-shaped graph that points upward of downward
Equation
Replacing one variable with an equivalent expression containing the other variable

17. cosine ratio
Adjacent ÷ hypotenuse
Part of a circle connecting two points on the circle.
Ac+ad+bc+bd
½(base x height) [or (base x height)÷2]

18. Sector
When the system of equations have the same slope but different y-intercepts
C =?d
When the system of equations have different slopes
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. Elimination method
The distance across the circle through the center of the circle.The diameter is twice the radius.
Always
When there is a horizontal line that has different x points - but the same y point
Solving systems by adding or subtracting equations to eliminate a variable

20. Slope
(a-b)(a²+ab+b²)
x°/360 times (?r²) - where x is the degrees in the angle
y=mx+b
(y2-y1)/(x2-x1)

21. Area of a sector
When the system of equations have the same slope and y-intercept
Graphs
x°/360 times (?r²) - 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

22. Circumference of a circle
x°/360 times (?r²) - where x is the degrees in the angle
When there is a vertical line that has different y points - but the same x point
A=?r2
?d OR 2?r

23. a²+2ab+b²
-b±[vb²-4ac]/2a
(a+b)²
(a+b)(a²-ab+b²)
When the system of equations have the same slope and y-intercept

24. One solution
A=?r2
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
y=k/x
When the system of equations have different slopes

25. (a+b)(c+d)
Ac+ad+bc+bd
You must flip the sign
(y2-y1)/(x2-x1)
C =?d

26. Area of a square
S² - where s = length of a side
An ange whose vertex is the center of the circle
y=mx+b
y=mx+b

27. Absolute value equation
A V-shaped graph that points upward of downward
You must flip the sign
Replacing one variable with an equivalent expression containing the other variable
Opposite ÷ hypotenuse

28. Area of a triangle
When there is a horizontal line that has different x points - but the same y point
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
Opposite ÷ adjacent

29. Slope-Intercept
x°/360 times (2 pi r) - where x is the degrees in the angle
Equation
When there is a vertical line that has different y points - but the same x point
y=mx+b

30. length of a sector
x°/360 times (2 pi r) - where x is the degrees in the angle
An ange whose vertex is the center of the circle
When the system of equations have the same slope but different y-intercepts
Adjacent ÷ hypotenuse

31. Graphing < or > on a coordinate plane
-b±[vb²-4ac]/2a
Dotted line
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
S² - where s = length of a side

32. Infinitely many solutions
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
An ange whose vertex is the center of the circle
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

33. Area of rectangle - square - parallelogram
A=bh
½(base x height) [or (base x height)÷2]
Shade upwards or to the right
?r²

34. Slope intercept form
y=mx+b
Opposite ÷ adjacent
A=bh
Graphs

35. Solution of the system of linear equations
x°/360 times (2 pi r) - where x is the degrees in the angle
Any ordered pair in a system that makes all the equations true
2 pi r
Linear functions

36. Diameter
Ab+ac
Solid line
A=bh
The distance across the circle through the center of the circle.The diameter is twice the radius.

37. Zero
The distance from one point on the circle to another point on the circle.
When the system of equations have the same slope but different y-intercepts
When there is a horizontal line that has different x points - but the same y point
(a+b)(a²-ab+b²)

38. No solution
Is the set of points which are all the same distance (its radius) from a certian point( the center).
(a-b)(a²+ab+b²)
½(b1 +b2) x h [or (b1 +b2) x h÷2]
When the system of equations have the same slope but different y-intercepts

39. Translation
½(base x height) [or (base x height)÷2]
x°/360 times (2 pi r) - where x is the degrees in the angle
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.

40. a³-b³
Dotted line
A=?r2
(a-b)(a²+ab+b²)
A V-shaped graph that points upward of downward

41. Area of a circle
You must flip the sign
A=?r2
?r²
Ab+ac

42. Direct Variation
y=mx+b
y=kx
Shade downwards or to the left
Is the set of points which are all the same distance (its radius) from a certian point( the center).

43. Linear parent function
Always
y-y1=m(x-x1)
Any ordered pair in a system that makes all the equations true
y=x or f(x)=x

44. Circle
?r²
y=mx+b
Always
Is the set of points which are all the same distance (its radius) from a certian point( the center).

45. Inverse Variation
Is the set of points which are all the same distance (its radius) from a certian point( the center).
y=k/x
Opposite ÷ adjacent
Solving systems by adding or subtracting equations to eliminate a variable

46. Quadratic Formula
When the system of equations have the same slope and y-intercept
-b±[vb²-4ac]/2a
Graphs
Graphing the system of equations and finding the point at which they intersect

47. A parent function is the simplest ____________ of a function
2Length + 2width [or (length + width) x 2]
Graphs
A=bh
Equation

48. Point-Slope form
y-y1=m(x-x1)
Solving systems by adding or subtracting equations to eliminate a variable
An ange whose vertex is the center of the circle
When the system of equations have different slopes

49. Circumference Formula
C =?d
Solid line
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Opposite ÷ hypotenuse

50. All direct variations are ____________________
Graphing the system of equations and finding the point at which they intersect
S² - where s = length of a side
Linear functions
Ab+ac