Test your basic knowledge |

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. length of a sector
y-y1=m(x-x1)
Replacing one variable with an equivalent expression containing the other variable
(a-b)(a+b)
x°/360 times (2 pi r) - where x is the degrees in the angle

2. Undefined
When there is a vertical line that has different y points - but the same x point
y=x or f(x)=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.
Opposite ÷ adjacent

3. Perimeter (circumference) of a circle
½(b1 +b2) x h [or (b1 +b2) x h÷2]
You must flip the sign
2 pi r
When the system of equations have different slopes

4. Circumference of a circle
When the system of equations have the same slope and y-intercept
When there is a vertical line that has different y points - but the same x point
y=kx
?d OR 2?r

5. All direct variations are ____________________
2Length + 2width [or (length + width) x 2]
x°/360 times (2 pi r) - where x is the degrees in the angle
Linear functions
You must flip the sign

6. Perimeter of a rectangle
The distance from one point on the circle to another point on the circle.
Opposite ÷ hypotenuse
2Length + 2width [or (length + width) x 2]
(a-b)²

7. Circle
y=mx+b
When the system of equations have the same slope but different y-intercepts
Opposite ÷ adjacent
Is the set of points which are all the same distance (its radius) from a certian point( the center).

8. (a+b)(c+d)
4s (where s = length of a side)
y=mx+b
C =?d
Ac+ad+bc+bd

9. Graphing < or > on a coordinate plane
(a-b)²
Dotted line
y=k/x
y=x or f(x)=x

10. Graphing = or > on a coordinate plane
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Shade upwards or to the right
Solving systems by adding or subtracting equations to eliminate a variable
2 pi r

11. a³+b³
When the system of equations have the same slope but different y-intercepts
(a+b)(a²-ab+b²)
-b±[vb²-4ac]/2a
(y2-y1)/(x2-x1)

12. Central Angle
Is the set of points which are all the same distance (its radius) from a certian point( the center).
An ange whose vertex is the center of the circle
A segment connecting the center of a circle to any point on the circle
A=bh

13. Circumference Formula
C =?d
Linear functions
y=kx
When the system of equations have the same slope but different y-intercepts

14. Chord
The distance from one point on the circle to another point on the circle.
-b±[vb²-4ac]/2a
Shade downwards or to the left
Part of a circle connecting two points on the circle.

15. Area of rectangle - square - parallelogram
Linear functions
A=bh
-b±[vb²-4ac]/2a
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

16. sine ratio
Opposite ÷ hypotenuse
Linear functions
Solid line
An ange whose vertex is the center of the circle

17. Arc
Part of a circle connecting two points on the circle.
When there is a vertical line that has different y points - but the same x point
Ab+ac
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.

18. Solution of the system of linear equations
-b±[vb²-4ac]/2a
Equation
Shade downwards or to the left
Any ordered pair in a system that makes all the equations true

19. Graphing = or = on a coordinate plane
Shade downwards or to the left
Any ordered pair in a system that makes all the equations true
Solid line
Ab+ac

20. One solution
Adjacent ÷ hypotenuse
When the system of equations have different slopes
Ab+ac
y=k/x

21. Infinitely many solutions
y=k/x
4s (where s = length of a side)
A=?r2
When the system of equations have the same slope and y-intercept

22. tangent ratio
Opposite ÷ adjacent
Ab+ac
When the system of equations have different slopes
Part of a circle connecting two points on the circle.

23. Slope-Intercept
2 pi r
Dotted line
y=mx+b
A V-shaped graph that points upward of downward

24. a²-b²
(a-b)(a+b)
When the system of equations have different slopes
x°/360 times (?r²) - where x is the degrees in the angle
y=x or f(x)=x

25. a²-2ab+b²
2 pi r
(a-b)²
(a-b)(a²+ab+b²)
Adjacent ÷ hypotenuse

26. Area of a square
y=kx
Linear functions
S² - where s = length of a side
y=mx+b

27. Sector
Solid 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.
The distance from one point on the circle to another point on the circle.
2Length + 2width [or (length + width) x 2]

28. Linear parent function
½(base x height) [or (base x height)÷2]
y=x or f(x)=x
Opposite ÷ hypotenuse
Replacing one variable with an equivalent expression containing the other variable

29. Radius (Radii)
A segment connecting the center of a circle to any point on the circle
y=mx+b
Adjacent ÷ hypotenuse
When the system of equations have the same slope but different y-intercepts

30. Area of Circles
A=?r2
½(base x height) [or (base x height)÷2]
You must flip the sign
y=k/x

31. a³-b³
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=bh
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)(a²+ab+b²)

32. Dividing by a negative number in an inequality
(a-b)(a²+ab+b²)
When there is a horizontal line that has different x points - but the same y point
When the system of equations have different slopes
You must flip the sign

33. Standard form
y=k/x
y=kx
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)²

34. Elimination method
Ab+ac
Solving systems by adding or subtracting equations to eliminate a variable
y=k/x
Shade upwards or to the right

35. Quadratic Formula
?d OR 2?r
-b±[vb²-4ac]/2a
Solving systems by adding or subtracting equations to eliminate a variable
Graphing the system of equations and finding the point at which they intersect

36. Absolute value equation
(a+b)(a²-ab+b²)
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
Equation

37. Direct Variation
y=kx
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=?r2
Solving systems by adding or subtracting equations to eliminate a variable

38. Area of a trapezoid
?d OR 2?r
½(b1 +b2) x h [or (b1 +b2) x h÷2]
The distance from one point on the circle to another point on the circle.
A=?r2

39. No solution
(a-b)(a+b)
When the system of equations have the same slope but different y-intercepts
-b±[vb²-4ac]/2a
½(base x height) [or (base x height)÷2]

40. A linear function is a function that _____________ a line
An ange whose vertex is the center of the circle
Any ordered pair in a system that makes all the equations true
(a+b)(a²-ab+b²)
Graphs

41. cosine ratio
Opposite ÷ hypotenuse
(a-b)²
Adjacent ÷ hypotenuse
Replacing one variable with an equivalent expression containing the other variable

42. Translation
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.
A=?r2
C =?d

43. Substitution method
A=bh
Linear functions
Replacing one variable with an equivalent expression containing the other variable
When there is a horizontal line that has different x points - but the same y point

44. Area of a sector
When there is a vertical line that has different y points - but the same x point
x°/360 times (?r²) - where x is the degrees in the angle
Solid line
4s (where s = length of a side)

45. Perimeter of a square
When there is a vertical line that has different y points - but the same x point
The distance across the circle through the center of the circle.The diameter is twice the radius.
4s (where s = length of a side)
Graphing the system of equations and finding the point at which they intersect

46. Area of a circle
A=bh
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Ab+ac
?r²

47. Inverse Variation
(y2-y1)/(x2-x1)
y=x or f(x)=x
y=k/x
You must flip the sign

48. Zero
A V-shaped graph that points upward of downward
When there is a horizontal line that has different x points - but the same y point
(a-b)(a+b)
A=?r2

49. A function is ___________ a relation
Linear functions
(a+b)(a²-ab+b²)
?r²
Always

50. Graphing = or < on a coordinate plane
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.
The distance across the circle through the center of the circle.The diameter is twice the radius.
C =?d
Shade downwards or to the left