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Test your basic knowledge |
SAT and Act Math Formulas
Start Test
Study First
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. cosine ratio
When there is a horizontal line that has different x points - but the same y point
A V-shaped graph that points upward of downward
Adjacent ÷ hypotenuse
(a-b)(a²+ab+b²)
2. Area of Circles
2Length + 2width [or (length + width) x 2]
2 pi r
An ange whose vertex is the center of the circle
A=?r2
3. Sector
y-y1=m(x-x1)
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.
(a-b)²
4. Point-Slope form
When there is a vertical line that has different y points - but the same x point
y-y1=m(x-x1)
When the system of equations have the same slope but different y-intercepts
Replacing one variable with an equivalent expression containing the other variable
5. Absolute value equation
2 pi r
A V-shaped graph that points upward of downward
?r²
(a-b)²
6. Infinitely many solutions
y=mx+b
C =?d
?r²
When the system of equations have the same slope and y-intercept
7. a(b+c)
Ab+ac
The distance across the circle through the center of the circle.The diameter is twice the radius.
x°/360 times (?r²) - where x is the degrees in the angle
Equation
8. Area of a triangle
An ange whose vertex is the center of the circle
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.
½(base x height) [or (base x height)÷2]
Adjacent ÷ hypotenuse
9. Standard form
S² - where s = length of a side
Always
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
10. Elimination method
A=bh
Solving systems by adding or subtracting equations to eliminate a variable
Replacing one variable with an equivalent expression containing the other variable
?r²
11. Area of a square
When the system of equations have the same slope and y-intercept
4s (where s = length of a side)
(a-b)(a+b)
S² - where s = length of a side
12. Area of a sector
x°/360 times (?r²) - where x is the degrees in the angle
S² - where s = length of a side
4s (where s = length of a side)
When there is a vertical line that has different y points - but the same x point
13. Circumference of a circle
(a-b)(a+b)
?d OR 2?r
4s (where s = length of a side)
y=mx+b
14. sine ratio
Shade upwards or to the right
C =?d
Opposite ÷ hypotenuse
(a+b)²
15. Inverse Variation
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
C =?d
Shade downwards or to the left
y=k/x
16. Arc
Solving systems by adding or subtracting equations to eliminate a variable
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).
When there is a horizontal line that has different x points - but the same y point
17. Central Angle
Always
Graphing the system of equations and finding the point at which they intersect
An ange whose vertex is the center of the circle
Part of a circle connecting two points on the circle.
18. a²+2ab+b²
S² - where s = length of a side
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.
(a+b)²
½(base x height) [or (base x height)÷2]
19. tangent ratio
Opposite ÷ adjacent
(a+b)(a²-ab+b²)
A V-shaped graph that points upward of downward
The distance from one point on the circle to another point on the circle.
20. A linear function is a function that _____________ a line
When the system of equations have the same slope and y-intercept
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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Graphs
21. One solution
When the system of equations have the same slope and y-intercept
When the system of equations have different slopes
Solving systems by adding or subtracting equations to eliminate a variable
½(base x height) [or (base x height)÷2]
22. Direct Variation
Part of a circle connecting two points 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
(a-b)(a+b)
y=kx
23. No solution
½(base x height) [or (base x height)÷2]
4s (where s = length of a side)
When the system of equations have the same slope but different y-intercepts
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.
24. a²-2ab+b²
y=mx+b
?d OR 2?r
(a-b)²
When the system of equations have the same slope but different y-intercepts
25. Slope intercept form
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
y=mx+b
Linear functions
26. Diameter
y=mx+b
The distance across the circle through the center of the circle.The diameter is twice the radius.
Shade downwards or to the left
½(base x height) [or (base x height)÷2]
27. Graphing = or < on a coordinate plane
½(base x height) [or (base x height)÷2]
Opposite ÷ adjacent
Shade downwards or to the left
4s (where s = length of a side)
28. (a+b)(c+d)
Ac+ad+bc+bd
Equation
Opposite ÷ adjacent
Any ordered pair in a system that makes all the equations true
29. Radius (Radii)
2 pi r
C =?d
When the system of equations have different slopes
A segment connecting the center of a circle to any point on the circle
30. Undefined
(a-b)(a²+ab+b²)
When there is a vertical line that has different y points - but the same x point
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Always
31. 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
y=k/x
½(b1 +b2) x h [or (b1 +b2) x h÷2]
32. length of a sector
When the system of equations have different slopes
?r²
x°/360 times (2 pi r) - where x is the degrees in the angle
Opposite ÷ hypotenuse
33. Perimeter of a rectangle
(a-b)²
(a-b)(a²+ab+b²)
2Length + 2width [or (length + width) x 2]
(y2-y1)/(x2-x1)
34. Circle
2Length + 2width [or (length + width) x 2]
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.
Shade downwards or to the left
35. Slope
Ac+ad+bc+bd
2Length + 2width [or (length + width) x 2]
You must flip the sign
(y2-y1)/(x2-x1)
36. Perimeter (circumference) of a circle
2 pi r
Opposite ÷ hypotenuse
When there is a vertical line that has different y points - but the same x point
(a-b)(a²+ab+b²)
37. Circumference Formula
C =?d
Opposite ÷ adjacent
Shade downwards or to the left
Solid line
38. A parent function is the simplest ____________ of a function
When there is a vertical line that has different y points - but the same x point
Equation
y-y1=m(x-x1)
(y2-y1)/(x2-x1)
39. Graphing = or > on a coordinate plane
Ab+ac
Shade upwards or to the right
x°/360 times (2 pi r) - where x is the degrees in the angle
Always
40. a³+b³
A=bh
(a+b)(a²-ab+b²)
S² - where s = length of a side
(y2-y1)/(x2-x1)
41. Area of a circle
Opposite ÷ adjacent
?r²
Adjacent ÷ hypotenuse
y=k/x
42. Perimeter of a square
y=x or f(x)=x
?r²
When the system of equations have the same slope but different y-intercepts
4s (where s = length of a side)
43. Chord
Part of a circle connecting two points on the circle.
(a+b)²
The distance from one point on the circle to another point on the circle.
y=x or f(x)=x
44. All direct variations are ____________________
(a-b)(a²+ab+b²)
Part of a circle connecting two points on the circle.
Linear functions
2 pi r
45. Solution of the system of linear equations
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(a-b)(a+b)
Part of a circle connecting two points on the circle.
Any ordered pair in a system that makes all the equations true
46. Slope-Intercept
x°/360 times (?r²) - where x is the degrees in the angle
Ab+ac
y=mx+b
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.
47. Quadratic Formula
Ac+ad+bc+bd
-b±[vb²-4ac]/2a
(y2-y1)/(x2-x1)
y-y1=m(x-x1)
48. a³-b³
When the system of equations have the same slope and y-intercept
When the system of equations have different slopes
When the system of equations have the same slope but different y-intercepts
(a-b)(a²+ab+b²)
49. Substitution method
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
x°/360 times (2 pi r) - where x is the degrees in the angle
A=?r2
Replacing one variable with an equivalent expression containing the other variable
50. a²-b²
y=kx
(a-b)(a+b)
x°/360 times (?r²) - where x is the degrees in the angle
4s (where s = length of a side)