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SAT and Act Math Formulas
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Subjects
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sat
,
act
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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 parent function is the simplest ____________ of a function
(b1 +b2) x h [or (b1 +b2) x h2]
(y2-y1)/(x2-x1)
Equation
(a-b)
2. Substitution method
(b1 +b2) x h [or (b1 +b2) x h2]
Replacing one variable with an equivalent expression containing the other variable
?r
(a-b)(a+b)
3. Elimination method
The distance from one point on the circle to another point on the circle.
Solving systems by adding or subtracting equations to eliminate a variable
(a+b)
Linear functions
4. Circumference of a circle
Dotted line
y=k/x
?d OR 2?r
(base x height) [or (base x height)2]
5. Graphing = or > on a coordinate plane
y-y1=m(x-x1)
C =?d
y=kx
Shade upwards or to the right
6. Area of a trapezoid
Always
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 horizontal line that has different x points - but the same y point
(b1 +b2) x h [or (b1 +b2) x h2]
7. Central Angle
Solving systems by adding or subtracting equations to eliminate a variable
An ange whose vertex is the center of the circle
?d OR 2?r
Opposite adjacent
8. Area of a square
The distance from one point on the circle to another point on the circle.
Dotted line
?d OR 2?r
S - where s = length of a side
9. Chord
Always
x/360 times (2 pi r) - where x is the degrees in the angle
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
10. Graphing = or < on a coordinate plane
Replacing one variable with an equivalent expression containing the other variable
Shade downwards or to the left
Opposite hypotenuse
(a+b)
11. a-b
(a-b)(a+ab+b)
(a-b)(a+b)
Linear functions
?r
12. Quadratic Formula
(a+b)(a-ab+b)
Opposite hypotenuse
(b1 +b2) x h [or (b1 +b2) x h2]
-b[vb-4ac]/2a
13. All direct variations are ____________________
(a-b)(a+b)
When the system of equations have the same slope and y-intercept
Solving systems by adding or subtracting equations to eliminate a variable
Linear functions
14. Standard form
x/360 times (2 pi r) - where x is the degrees in the angle
Always
When the system of equations have the same slope and y-intercept
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
15. sine ratio
Any ordered pair in a system that makes all the equations true
Opposite hypotenuse
A V-shaped graph that points upward of downward
Equation
16. Perimeter of a square
4s (where s = length of a side)
y=mx+b
You must flip the sign
Always
17. Area of a circle
y=mx+b
Solving systems by adding or subtracting equations to eliminate a variable
y=kx
?r
18. Absolute value equation
A V-shaped graph that points upward of downward
When the system of equations have the same slope but different y-intercepts
-b[vb-4ac]/2a
Ac+ad+bc+bd
19. a+b
Dotted line
y=mx+b
(a+b)(a-ab+b)
Graphing the system of equations and finding the point at which they intersect
20. Linear parent function
y=x or f(x)=x
(a-b)(a+ab+b)
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
21. Undefined
Dotted line
Graphs
When there is a vertical line that has different y points - but the same x point
(b1 +b2) x h [or (b1 +b2) x h2]
22. A linear function is a function that _____________ a line
Graphs
You must flip the sign
-b[vb-4ac]/2a
Opposite hypotenuse
23. Graphing method
?r
(a-b)(a+b)
?d OR 2?r
Graphing the system of equations and finding the point at which they intersect
24. a+2ab+b
When the system of equations have the same slope but different y-intercepts
Replacing one variable with an equivalent expression containing the other variable
When the system of equations have the same slope and y-intercept
(a+b)
25. Slope-Intercept
(base x height) [or (base x height)2]
y=k/x
When the system of equations have the same slope but different y-intercepts
y=mx+b
26. Slope
(y2-y1)/(x2-x1)
(a+b)
Graphs
2 pi r
27. Infinitely many solutions
y=x or f(x)=x
(a-b)
Equation
When the system of equations have the same slope and y-intercept
28. Area of a sector
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
S - where s = length of a side
x/360 times (?r) - where x is the degrees in the angle
29. Solution of the system of linear equations
When the system of equations have different slopes
(a+b)(a-ab+b)
Any ordered pair in a system that makes all the equations true
(a-b)
30. Direct Variation
(a-b)(a+b)
You must flip the sign
(a+b)
y=kx
31. Graphing < or > on a coordinate plane
(a-b)(a+ab+b)
?d OR 2?r
Dotted line
When there is a vertical line that has different y points - but the same x point
32. Diameter
-b[vb-4ac]/2a
Adjacent hypotenuse
The distance across the circle through the center of the circle.The diameter is twice the radius.
Opposite hypotenuse
33. Area of Circles
2Length + 2width [or (length + width) x 2]
A=?r2
Replacing one variable with an equivalent expression containing the other variable
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.
34. Circumference Formula
Ab+ac
y=mx+b
When the system of equations have the same slope but different y-intercepts
C =?d
35. One solution
Dotted line
When the system of equations have different slopes
(a-b)
y=x or f(x)=x
36. Arc
Part of a circle connecting two points on the circle.
Shade downwards or to the left
An ange whose vertex is the center of the circle
When the system of equations have the same slope but different y-intercepts
37. a-b
(y2-y1)/(x2-x1)
Shade upwards or to the right
y=x or f(x)=x
(a-b)(a+ab+b)
38. a(b+c)
Ab+ac
Replacing one variable with an equivalent expression containing the other variable
The distance across the circle through the center of the circle.The diameter is twice the radius.
Shade downwards or to the left
39. Perimeter of a rectangle
2Length + 2width [or (length + width) x 2]
x/360 times (?r) - where x is the degrees in the angle
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
40. tangent ratio
Opposite adjacent
Opposite hypotenuse
Shade upwards or to the right
A V-shaped graph that points upward of downward
41. Inverse Variation
y=k/x
-b[vb-4ac]/2a
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).
42. (a+b)(c+d)
2Length + 2width [or (length + width) x 2]
A V-shaped graph that points upward of downward
Ac+ad+bc+bd
Always
43. Graphing = or = on a coordinate plane
y=kx
Replacing one variable with an equivalent expression containing the other variable
Solid line
When there is a horizontal line that has different x points - but the same y point
44. Zero
When there is a horizontal line that has different x points - but the same y point
y=mx+b
Replacing one variable with an equivalent expression containing the other variable
Opposite adjacent
45. No solution
An ange whose vertex is the center of the circle
Adjacent hypotenuse
You must flip the sign
When the system of equations have the same slope but different y-intercepts
46. length of a sector
(b1 +b2) x h [or (b1 +b2) x h2]
Graphs
x/360 times (2 pi r) - where x is the degrees in the angle
A segment connecting the center of a circle to any point on the circle
47. Radius (Radii)
4s (where s = length of a side)
Solid line
Part of a circle connecting two points on the circle.
A segment connecting the center of a circle to any point on the circle
48. Point-Slope form
When the system of equations have different slopes
?r
y-y1=m(x-x1)
2Length + 2width [or (length + width) x 2]
49. cosine ratio
Adjacent hypotenuse
When there is a horizontal line that has different x points - but the same y point
(a-b)(a+b)
Ac+ad+bc+bd
50. 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 the system of equations have the same slope and y-intercept
Is the set of points which are all the same distance (its radius) from a certian point( the center).
The distance across the circle through the center of the circle.The diameter is twice the radius.
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