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SAT Math Level 1 Subject Test

Subjects : sat, math

Instructions:

Answer 50 questions in 15 minutes.
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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. Heptagon
A vertical line drawn from the polygon's base to the opposite vertex. Altitudes are always drawn perpendicular to the base.
SA= 6s^2
Seven-sided polygon
When you make 'x' negative - always remember to switch the signs for the answer.

2. Pythagorean Triplets: 12
5 -12 -13
A=bh
Has a slant height - radius - and height
Like a prism - but with a circular base. Two important dimensions: radius and height

3. Octagon
A shape that in placed inside another shape with the tightest possible fit. The two shapes will never overlap.
A: av3:2a
Eight-sided polygon
A line that cuts a line segment - angle - or polygon in half.

4. Tangent
Are proportional.
Divides a line segment into two equal halves
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.
V=s^3

5. even x even=
Even
Opp/adj
A=pr^2
A line that cuts a line segment - angle - or polygon in half.

6. even + even=
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.
Even
Multiply all the possible combinations of the endpoints - and select the smallest and the largest. This will make up your new range....
A line segment connecting two distinct points on a circle.

7. Binomial
A perfectly flat surface that extends infinitely in two dimensions
SA=prl +pr^2
A polynomial with exactly two terms - such as (x-5)
A=1/2bh

8. The Rule of 180
Positive
Odd
The three angles of a triangle add up to 180.
Pr^2h

9. Volume of a Cone
A four-sided polygon
Final Amount= (Original) x (1 + Rate)^(number of changes)
May be put into a function.
(1/3)pr^2h

10. Radius
Must have two equal sides and two equal angles.
8 -15 -17
A line segment extending from the center of a circle to a point on that circle.
The sphere's diameter is equal to the diagonal of the rectangle formed by the cylinder's heights and diameter.

11. When a cube or rectangular solid is inscribed in a sphere...
The long diagonal of that solid is equal to the diameter of the sphere.
C=pd - C=2pr
A four-sided polygon
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.

12. Obtuse Angle
One endpoint and extends in one direction
Between 90 and 180
Values that can be produced by a function
F= sv2

13. Slope-Intercept Form of the Equation of a Line (whats the y-intercept?)
PLUGGING IN
y=mx+b - b=y-intercept
Positive
A^2 + b^2 + c^2 = d^2

14. When working with ranges - be careful of...
SA= 2pr^2 +2prh
When you make 'x' negative - always remember to switch the signs for the answer.
Have origin symmetry (they are the same when reflected across the origin) - -f(x)=f(-x)
Add up to 180 degrees

15. In a triangle - the largest angle
Is always opposite the longest side
Even
One endpoint and extends in one direction
Six-sided polygon

16. When a cylinder is inscribed in a sphere...
Adj/hyp
The sphere's diameter is equal to the diagonal of the rectangle formed by the cylinder's heights and diameter.
A=1/2bh
Has two endpoints

17. Average Speed=
M= (x1+x2/2 - y1+y2/2)
Total Distance/Total Time
SA= 6s^2
Pr^2h

18. Wherever a right triangle is divided in two by a height drawn from the right angle -...
The result is three similar triangles of different sizes
Pr^2h
8 -15 -17
Has two endpoints

19. Midpoint
Odd
Negative
Divides a line segment into two equal halves
The length of any side of a triangle must be between the sum and the difference of the lengtsh of the other two sides.

20. If a sphere is inscribed in a cylinder -...
Number of Things x Average
V=Bh
Never intersect
Both solids have the same diameter.

21. Percent Increase Formula
Having equal distance from two different things
Has three equal sides and three equal angles
Final Amount= (Original) x (1 + Rate)^(number of changes)
5 -12 -13

22. Radian
The long diagonal of that solid is equal to the diameter of the sphere.
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.
Even
Final Amount= original x (1-rate)^number of changes

23. Perimeter
The sum of the lengths of a polygon's sides
Positive
A= (b1+b2/2)h
A polynomial with one variable whose largest exponent is 2 - for example x^2-5x+6

24. positive x positive=
Positive
Eight-sided polygon
A=s^2v3/4
The three angles of a triangle add up to 180.

25. cos=
Adj/hyp
Sum of Angles= (n-2) x 180
Like a prism - but with a circular base. Two important dimensions: radius and height
Opp/hyp

26. Circumscribed
A shape drawn around another shape with the tightest possible fit. The two shapes will never overlap.
Opp/adj
A perfectly flat surface that extends infinitely in two dimensions
Seven-sided polygon

27. Whenever you multiply or divide both sides of an inequality by a negative -...
Positive
Flip the inequality sign.
Are equal
A polynomial with exactly two terms - such as (x-5)

28. Pythagorean Theorem (Right Triangles)
A^2+b^2=c^2
Has three equal sides and three equal angles
A portion of a circle's area between two radii - like a slice of pie.
The length of any side of a triangle must be between the sum and the difference of the lengtsh of the other two sides.

29. SA of a Cube
V=Bh
6s^2
Bh
Be careful of switching the signs when you use the negative end of the equation!!! See pg. 76 Q 8

30. Face Diagonal of a Cube
Symmtrical across the y-axis - f(x)= f(-x)
F= sv2
V=s^3
5 -12 -13

31. Range
Subtract the four combinations of endpoints. Be careful what the problem is asking for! See pg. 75
Values that can be produced by a function
Has all equal sides and angles. (equilateral triangles and squares)
A=1/2bh

32. Plane
Subtract the four combinations of endpoints. Be careful what the problem is asking for! See pg. 75
6 -8 -10
A perfectly flat surface that extends infinitely in two dimensions
V=lwh

33. Degree
y= a(x-h)^2 +k
The portion of a circle's area between two radii
Odd
The sum of the exponents in an algebraic term-the degree of a polynomial is the highest degree of any term in the polynomial.

34. Distance Formula
Be careful of switching the signs when you use the negative end of the equation!!! See pg. 76 Q 8
(x-h)^2 + (y-k)^2 = r^2
D= v(x2-x1)^2 + (y2-y1)^2
Log b/log n

35. positive x negative=
8 -15 -17
A^2+b^2=c^2
Negative
The result is three similar triangles of different sizes

36. Volume of a Prism
Has two endpoints
V=Bh
Log b/log n
Positive

37. Altitude
Opp/hyp
Odd
6s^2
A vertical line drawn from the polygon's base to the opposite vertex. Altitudes are always drawn perpendicular to the base.

38. Averages: Number of Things=
Is always opposite the shortest side
Negative
The result is three similar triangles of different sizes
Total/Average

39. Work Done=
Rate of Work x Time
Between 0 and 90
The parabola opens upward
May be put into a function.

40. The Quadratic Formula
Flip the inequality sign.
Negative
x= -b+/- vb^2-4ac/2a
Divides a line segment into two equal halves

41. sin=
Opp/hyp
Are equal
Even
Between 0 and 90

42. Long Diagonal of a Rectangular Solid (Super Pythagorean Theorem)
Positive
A^2 + b^2 + c^2 = d^2
y= ax^2 +bx+ c
Even

43. Standard Form of the Equation of a Parabola
A polynomial with exactly two terms - such as (x-5)
Subtract the four combinations of endpoints. Be careful what the problem is asking for! See pg. 75
V=1/3pr^2h
y= a(x-h)^2 +k

44. How to find the longest line that can be drawn inside a cylinder
Never intersect
The sum of the exponents in an algebraic term-the degree of a polynomial is the highest degree of any term in the polynomial.
6 -8 -10
D^2 = (2r)^2 + h^2

45. Percent Decrease Formula
V=1/3pr^2h
Lwh
Final Amount= (Original) x (1 - Rate)^(number of changes)
Number of Things x Average

46. Area of a Square
Is always opposite the longest side
The length of any side of a triangle must be between the sum and the difference of the lengtsh of the other two sides.
A=s^2 or A= d^2/2
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.

47. Coefficient
Odd
Sum of Angles= (n-2) x 180
In a term - the constant before the variable. In ax^2 - a is the coefficient.
May be put into a function.

48. Root
Seven-sided polygon
A polynomial with exactly two terms - such as (x-5)
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.
Even

49. Midpoint Formula for a Line Segment
Must have two equal sides and two equal angles.
M= (x1+x2/2 - y1+y2/2)
Odd
Amount of change/original x 100

50. When a sphere is inscribed in a cube -...
A shape that in placed inside another shape with the tightest possible fit. The two shapes will never overlap.
A= (b1+b2/2)h
A line that cuts a line segment - angle - or polygon in half.
The diameter of the sphere is equal to the length of the cube's edge.

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SAT Math Level 1 Subject Test

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