Scientific Notation
Distance Formula
Pythagorean Theorem
Yada Yada Yada
Grab Bag
100
Convert the number into scientific notation:
83,000,000
8.3 x 107
100
Solve the distance. Round to the nearest tenth:
d = 6.3
100
Find the length of the missing side:
a = 3
b = 4
c = ?
Find c
c = 5
100
The distance to the sun is 150,000,000,000 m. Convert this distance into scientific notation.
1.5 x 1011 m
100
Simplify:
(-3)3 + 1
-26
200
Convert to standard notation:
5.12 x 10-4
0.000512
200
Solve the distance of AC. Round to the nearest tenth:
d = 7.2
200
Find the length of the missing side:
Round to the nearest tenth.
a = 7, b =__, c = 12
b = 9.7
200
A football field is 360 feet long and 160 feet wide. If a player runs from one corner diagonally to the opposite corner, how far have they run? Round to the nearest foot.
394 feet
200
Determine the domain:
domain: {1, 2, 3, 4, 5, 6}
(all x-values)
300
Compare: use >, <, or =
713 x 10-6 __ 7.31 x 10-6
>
(The first number isn't in scientific notation, but it is larger when both are converted to standard form.)
300
Use the distance formula to find the distance between these two points: (3,7) and (15,12)
d = 13
300
Is this a right triangle? Show how you know.
Yes!
Work needed as part of the answer:
72 + 242 = 252
49 + 576 = 625
300
Mach-3 is a supersonic speed, which is 3 times the speed of sound. The speed of sound is 1125 feet per second. How fast is mach-3 in scientific notation?
3.375 x 103 feet per second
300
What is the slope of a line perpendicular to the one that goes through the points (3, 8) and (-1, 4)
-1
400
Fix the notation so that the number is in scientific notation:
31.7 x 10-8
3.17 x 10-7
400
Use the distance formula to find the distance between these two points: (-2,4) and (-8,10). Round to the nearest tenth.
d = sqrt(72) = 8.5
400
Suppose the square area of c is 120 un2, and the square area of a is 50 un2. What is the square area of b?
b is 70 un2
400
The bottom of a ladder must be placed 5 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall? Round to the nearest tenth, if necessary.
10.9 feet
400
Solve the system:
y = 2x - 9
5x - 4y = 12
(8, 7)
500
Evaluate:
(8.5 x 1011)
(3.4 x 106)
2.5 x 105
500
Determine the perimeter of the triangle. Round to the nearest tenth:
p = 15.4
500
Find the missing leg, if two sides of the right triangle are 131.5 and 62.7. Round to the nearest tenth.
a = 115.6
500
A tree is struck by lightning, and breaks the trunk 16 feet off the ground. The break formed a right triangle as shown below, with the top of the tree resting on the ground 18 feet from the trunk. What was the full height of the tree, to the nearest tenth of a foot, before it was struck by lightning?
40 feet
500
Write an equation of the line that goes through the points:
(1, 6) and (4, -18)
y = -8x + 14
-or-
y - 6 = -8(x - 1)
-or-
y + 18 = -8(x - 4)