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Test your basic knowledge |
SAT Math Level 1 Subject Test
Start Test
Study First
Subjects
:
sat
,
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. Is the Principal Square Root Positive or Negative?
Is a right angle.
D= v(x2-x1)^2 + (y2-y1)^2
The sphere's diameter is equal to the diagonal of the rectangle formed by the cylinder's heights and diameter.
Positive
2. Slope Formula
One endpoint and extends in one direction
Have origin symmetry (they are the same when reflected across the origin) - -f(x)=f(-x)
May be put into a function.
y2-y1/x2-x1
3. Pentagon
A=s^2 or A= d^2/2
Factors are Few - Multiples are Many
Five-sided polygon
Positive
4. Pythagorean Triplets: 10
The sum of the exponents in an algebraic term-the degree of a polynomial is the highest degree of any term in the polynomial.
Positive
6 -8 -10
The diameter of the sphere is equal to the length of the cube's edge.
5. Volume of a Sphere
Has all equal sides and angles. (equilateral triangles and squares)
(4/3)pr^3
Factors are Few - Multiples are Many
Divides a line segment into two equal halves
6. positive x positive=
Positive
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.
Odd
Subtract the four combinations of endpoints. Be careful what the problem is asking for! See pg. 75
7. Ray
A shape drawn around another shape with the tightest possible fit. The two shapes will never overlap.
Have origin symmetry (they are the same when reflected across the origin) - -f(x)=f(-x)
One endpoint and extends in one direction
A vertical line drawn from the polygon's base to the opposite vertex. Altitudes are always drawn perpendicular to the base.
8. Area of a Square
A= (b1+b2/2)h
A=s^2 or A= d^2/2
C=pd - C=2pr
A line that cuts a line segment - angle - or polygon in half.
9. Midpoint Formula for a Line Segment
Is a right angle.
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
M= (x1+x2/2 - y1+y2/2)
10. Percent-Increase Formula
A^2+b^2=c^2
Final Amount= original x (1+rate)^number of changes
Final Amount= (Original) x (1 - Rate)^(number of changes)
Has three equal sides and three equal angles
11. The Quadratic Formula
Never intersect
Positive
Value in a function's domain where the function equals zero-also called zero - solution - or x-intercept of a solution.
x= -b+/- vb^2-4ac/2a
12. Distance Formula
Has two endpoints
D= v(x2-x1)^2 + (y2-y1)^2
Negative
Has a slant height - radius - and height
13. Percent Decrease Formula
Final Amount= (Original) x (1 - Rate)^(number of changes)
Is always opposite the shortest side
A perfectly flat surface that extends infinitely in two dimensions
(4/3)pr^3
14. Plane
A line segment extending from the center of a circle to a point on that circle.
Never intersect
A perfectly flat surface that extends infinitely in two dimensions
6 -8 -10
15. How to find the longest line that can be drawn inside a cylinder
D^2 = (2r)^2 + h^2
A shape drawn around another shape with the tightest possible fit. The two shapes will never overlap.
The result is three similar triangles of different sizes
Must have two equal sides and two equal angles.
16. even + odd=
SA= 6s^2
Add up to 180 degrees
Odd
(x-h)^2 + (y-k)^2 = r^2
17. Degree
V= pr^2h
The sum of the exponents in an algebraic term-the degree of a polynomial is the highest degree of any term in the polynomial.
Negative
x= -b/2a
18. If a is positive (in a parabola)...
The parabola opens upward
A=s^2 or A= d^2/2
Rate of Work x Time
In a term - the constant before the variable. In ax^2 - a is the coefficient.
19. even x odd=
SA= 4pr^2
The diameter of the sphere is equal to the length of the cube's edge.
Has three equal sides and three equal angles
Even
20. arc-
Means inverse
Positive
A^2 + b^2 + c^2 = d^2
The portion of a circle's area between two radii
21. Supplementary Angles
A line segment connecting two distinct points on a circle.
Sum of Angles= (n-2) x 180
Add up to 180 degrees
Positive
22. The Third Side Rule
Seven-sided polygon
The length of any side of a triangle must be between the sum and the difference of the lengtsh of the other two sides.
Even
Six-sided polygon
23. When using absolute values with inequalities...
Be careful of switching the signs when you use the negative end of the equation!!! See pg. 76 Q 8
Lwh
Even
SA=2lw + 2wh +2lh
24. Root
Odd
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.
SA= 2pr^2 +2prh
A line that cuts a line segment - angle - or polygon in half.
25. Equidistant
x^2 + y^2 = r^2
Must have two equal sides and two equal angles.
(x-h)^2 + (y-k)^2 = r^2
Having equal distance from two different things
26. Circumference of a Circle
Even
5 -12 -13
One endpoint and extends in one direction
C=pd - C=2pr
27. Octagon
A perfectly flat surface that extends infinitely in two dimensions
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=lwh
Eight-sided polygon
28. Averages: Total=
Number of Things x Average
Has a slant height - radius - and height
Positive
PLUGGING IN
29. Odd function
The sphere's diameter is equal to the diagonal of the rectangle formed by the cylinder's heights and diameter.
Have origin symmetry (they are the same when reflected across the origin) - -f(x)=f(-x)
A^2+b^2=c^2
Negative
30. SA of a Cube
6s^2
D= v(x2-x1)^2 + (y2-y1)^2
y=mx+b - b=y-intercept
Final Amount= original x (1+rate)^number of changes
31. negative/negative=
Positive
Total/Number of Things
Even
Log b/log n
32. even - odd=
x= -b+/- vb^2-4ac/2a
Flip the inequality sign.
Perfectly straight and extends infinitely in both directions
Odd
33. Pythagorean Triplets: 25
Has two endpoints
y=mx+b - b=y-intercept
A^2+b^2=c^2
7 -24 -25
34. If a is negative (in a parabola)...
The parabola opens upward
The parabola opens downward
Symmtrical across the y-axis - f(x)= f(-x)
V=lwh
35. even + even=
Is always opposite the longest side
7 -24 -25
Having equal distance from two different things
Even
36. Hexagon
The sum of the exponents in an algebraic term-the degree of a polynomial is the highest degree of any term in the polynomial.
The sphere's diameter is equal to the diagonal of the rectangle formed by the cylinder's heights and diameter.
Are proportional.
Six-sided polygon
37. All angles inscribed in the same segment of a circle...(or identical circles)
A: av3:2a
V=lwh
Are equal
A=bh
38. Volume of a Pyramid
V=Bh
Rate of Work x Time
SA= 4pr^2
V=1/3Bh (b=area of base)
39. Sector
40. If a sphere is inscribed in a cylinder -...
Has three equal sides and three equal angles
Both solids have the same diameter.
Seven-sided polygon
Factors are Few - Multiples are Many
41. Long Diagonal of a Cube
A polynomial with exactly two terms - such as (x-5)
D= sv3
A shape that in placed inside another shape with the tightest possible fit. The two shapes will never overlap.
C=pd - C=2pr
42. An equilateral triangle
D= sv3
A four-sided polygon
Has three equal sides and three equal angles
A^2+b^2=c^2
43. Circumscribed
A shape drawn around another shape with the tightest possible fit. The two shapes will never overlap.
Have origin symmetry (they are the same when reflected across the origin) - -f(x)=f(-x)
Positive
The parabola opens upward
44. Percent-Decrease Formula
Final Amount= original x (1-rate)^number of changes
V=1/3Bh (b=area of base)
Be careful of switching the signs when you use the negative end of the equation!!! See pg. 76 Q 8
Amount of change/original x 100
45. Area of Triangles
The result is three similar triangles of different sizes
A=1/2bh
Even
Has a slant height - radius - and height
46. Obtuse Angle
Are equal
Between 90 and 180
V=Bh
Eight-sided polygon
47. Tangent
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.
6s^2
Six-sided polygon
48. Sector
49. Even function
Have origin symmetry (they are the same when reflected across the origin) - -f(x)=f(-x)
Are equal
Symmtrical across the y-axis - f(x)= f(-x)
PLUGGING IN
50. Surface Area of a Cylinder
A shape that in placed inside another shape with the tightest possible fit. The two shapes will never overlap.
SA= 2pr^2 +2prh
One endpoint and extends in one direction
6 -8 -10