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