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