SAT Math Level 1 Subject Test

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. Pythagorean Triplets: 25
(1/3)pr^2h
7 -24 -25
Angles whose measures add up to 90 degrees
(x-h)^2 + (y-k)^2 = r^2


2. What is a short-term solution for solving algebra equations?
PLUGGING IN
A^2 + b^2 + c^2 = d^2
(x-h)^2 + (y-k)^2 = r^2
SA=2lw + 2wh +2lh


3. Sector


4. log b of n
Sum of Angles= (n-2) x 180
Log b/log n
A shape drawn around another shape with the tightest possible fit. The two shapes will never overlap.
V=lwh


5. Long Diagonal of a Rectangular Solid (Super Pythagorean Theorem)
A^2 + b^2 + c^2 = d^2
Total Distance/Total Time
Positive
Rate of Work x Time


6. Chord
A line segment connecting two distinct points on a circle.
In a term - the constant before the variable. In ax^2 - a is the coefficient.
The length of any side of a triangle must be between the sum and the difference of the lengtsh of the other two sides.
Seven-sided polygon


7. Inscribed
A shape that in placed inside another shape with the tightest possible fit. The two shapes will never overlap.
C=pd - C=2pr
Odd
A=1/2bh


8. Surface Area of a Rectangular Solid
A=1/2bh
Both solids have the same diameter.
One endpoint and extends in one direction
SA=2lw + 2wh +2lh


9. Volume of a Cone
The sum of the exponents in an algebraic term-the degree of a polynomial is the highest degree of any term in the polynomial.
V=1/3pr^2h
8 -15 -17
The portion of a circle's area between two radii


10. In a triangle - the smallest angle -
Is always opposite the shortest side
(x-h)^2 + (y-k)^2 = r^2
The sum of the exponents in an algebraic term-the degree of a polynomial is the highest degree of any term in the polynomial.
Final Amount= (Original) x (1 + Rate)^(number of changes)


11. Equation of a Circle with Center at Origin
y=mx+b - b=y-intercept
Add up to 180 degrees
Subtract the four combinations of endpoints. Be careful what the problem is asking for! See pg. 75
x^2 + y^2 = r^2


12. Root
A=1/2bh
A root of a polynomial is a value of the variable that makes the polynomial equal to zero. (the values that make the equation true.) Roots are also known as zeros - solutions - and x-intercepts.
Both solids have the same diameter.
A=bh


13. Coefficient
Something that is tangent to a curve touches that curve at only one point without crossing it. A shape may be internally or externally tangent to a curve - meaning it touches the inside or the outside.
C=pd - C=2pr
Total Distance/Total Time
In a term - the constant before the variable. In ax^2 - a is the coefficient.


14. Face Diagonal of a Cube
Something that is tangent to a curve touches that curve at only one point without crossing it. A shape may be internally or externally tangent to a curve - meaning it touches the inside or the outside.
A line that cuts a line segment - angle - or polygon in half.
Is a right angle.
F= sv2


15. Volume of a cube
x^2 + y^2 = r^2
Final Amount= (Original) x (1 + Rate)^(number of changes)
S^3
Odd


16. Long Diagonal of a Cube
Final Amount= (Original) x (1 - Rate)^(number of changes)
Total/Average
Odd
D= sv3


17. positive/positive=
A= (b1+b2/2)h
A=pr^2
Amount of change/original x 100
Positive


18. If a is positive (in a parabola)...
A=pr^2
S^3
The parabola opens upward
(4/3)pr^3


19. Whenever you multiply or divide both sides of an inequality by a negative -...
SA= 2pr^2 +2prh
One endpoint and extends in one direction
Values that can be produced by a function
Flip the inequality sign.


20. Quadratic
y= ax^2 +bx+ c
The portion of a circle's area between two radii
A portion of a circle's area between two radii - like a slice of pie.
A polynomial with one variable whose largest exponent is 2 - for example x^2-5x+6


21. negative x negative=
A=s^2v3/4
Positive
Like a prism - but with a circular base. Two important dimensions: radius and height
Subtract the four combinations of endpoints. Be careful what the problem is asking for! See pg. 75


22. Slope Formula
Positive
Having equal distance from two different things
Lwh
y2-y1/x2-x1


23. Supplementary Angles
Even
Something that is tangent to a curve touches that curve at only one point without crossing it. A shape may be internally or externally tangent to a curve - meaning it touches the inside or the outside.
Add up to 180 degrees
A polynomial with one variable whose largest exponent is 2 - for example x^2-5x+6


24. Odd function
Lwh
Never intersect
SA= 6s^2
Have origin symmetry (they are the same when reflected across the origin) - -f(x)=f(-x)


25. Domain
Is always opposite the shortest side
May be put into a function.
A=s^2v3/4
Perfectly straight and extends infinitely in both directions


26. When a cylinder is inscribed in a sphere...


27. Radius
Never intersect
A type of angle measure. One radian is an angle of a piece of the circle in which the radius is equal to the length of the arc included in that piece of the circle.
V=Bh
A line segment extending from the center of a circle to a point on that circle.


28. Averages: Total=
Number of Things x Average
Positive
Total/Average
S^3


29. positive/negative=
Subtract the four combinations of endpoints. Be careful what the problem is asking for! See pg. 75
x= -b/2a
Negative
The parabola opens downward


30. sin=
Opp/hyp
Even
The result is three similar triangles of different sizes
Adj/hyp


31. SA of a Cube
6s^2
Bh
The diameter of the sphere is equal to the length of the cube's edge.
A=s^2 or A= d^2/2


32. Pythagorean Triplets: 4
3 -4 -5
Perfectly straight and extends infinitely in both directions
The long diagonal of that solid is equal to the diameter of the sphere.
Flip the inequality sign.


33. Volume of a Sphere
(4/3)pr^3
Something that is tangent to a curve touches that curve at only one point without crossing it. A shape may be internally or externally tangent to a curve - meaning it touches the inside or the outside.
Factors are Few - Multiples are Many
A line segment connecting two distinct points on a circle.


34. Pythagorean Triplets: 10
Odd
A shape drawn around another shape with the tightest possible fit. The two shapes will never overlap.
Adj/hyp
6 -8 -10


35. Even function
Total/Average
Symmtrical across the y-axis - f(x)= f(-x)
The result is three similar triangles of different sizes
A= (b1+b2/2)h


36. Quadrilateral
Lwh
Opp/adj
Negative
A four-sided polygon


37. Line Segment
Total Distance/Total Time
Is always opposite the shortest side
Has two endpoints
6s^2


38. Distance Formula
Having equal distance from two different things
Are equal
A portion of a circle's area between two radii - like a slice of pie.
D= v(x2-x1)^2 + (y2-y1)^2


39. odd - odd=
Amount of change/original x 100
May be put into a function.
Five-sided polygon
Even


40. Equidistant
A=pr^2
Amount of change/original x 100
Having equal distance from two different things
x^2 + y^2 = r^2


41. Cone
Has a slant height - radius - and height
Add up to 180 degrees
Odd
Even


42. Altitude


43. Percent-Increase Formula
Has a slant height - radius - and height
x= -b/2a
Final Amount= original x (1+rate)^number of changes
Is always opposite the longest side


44. Surface Area of a Cylinder
A type of angle measure. One radian is an angle of a piece of the circle in which the radius is equal to the length of the arc included in that piece of the circle.
SA= 2pr^2 +2prh
Total Distance/Total Time
The sum of the lengths of a polygon's sides


45. Hexagon
One endpoint and extends in one direction
Six-sided polygon
Even
A vertical line drawn from the polygon's base to the opposite vertex. Altitudes are always drawn perpendicular to the base.


46. Circumscribed
A type of angle measure. One radian is an angle of a piece of the circle in which the radius is equal to the length of the arc included in that piece of the circle.
Positive
A shape drawn around another shape with the tightest possible fit. The two shapes will never overlap.
6s^2


47. Heptagon
Seven-sided polygon
Adj/hyp
3 -4 -5
A perfectly flat surface that extends infinitely in two dimensions


48. Surface Area of a Rectangular Solid
Having equal distance from two different things
Has three equal sides and three equal angles
V=s^3
V=lwh


49. even - even=
Is always opposite the longest side
Positive
Even
A^2+b^2=c^2


50. Averages: Average=
Total/Average
Positive
Total/Number of Things
A line that cuts a line segment - angle - or polygon in half.