Exponent Properties
Simplify.
(x8)(x4)
x12
Write 0.0000245 in proper scientific notation.
2.45 x 10^-5
For the equation x2 = 25,
the solution is x = ?
x = 5, -5
The Pythagorean Theorem only works for what shape? BE SPECIFIC.
It only works for RIGHT triangles.
Describe each transformation in words.
Translation is........?
Reflection is.........?
Rotation is..........?
Translation = slide
Reflection = flip
Rotation = turn/spin
Simplify - find a final value.
810 ÷ 86
84 = 4096
Write 3.45 x 10^-3 in standard notation.
For the equation, x3 = 64
the solution is x = ?
x = 4
Do the following side lengths make a right triangle?
21 inches, 35 inches, 28 inches
Yes, they do create a right triangle.
212 + 282 = 352
441 + 784 = 1225
1225 = 1225
If Triangle ABC is reflected over the x-axis, what algebraic rule represents this transformation?
(x,y) --->
(x,y) ---> (x,-y)
Simplify and find a final value.
(22)(2-4)
1/22 = 1/4
Add.
1.23 x 10^4 + 1.3 x 10^3
1.36 x 10^4
List the following numbers as either RATIONAL or IRRATIONAL.
π, 0.3 (repeating), √34, 3.14, 4 ¼, √100
Rational:
√100, 3.14, 4 ¼, 0.3 (repeating)
Irrational:
π, √34
Do the following side lengths make a right triangle?
3 inches, 4 inches, 5 inches
Yes, they do make a right triangle.
32 + 42 = 52
9 + 16 = 25
25 = 25
If Triangle ABC is rotated 180 degrees and has coordinates at A (1,2) B (3,3) and C (4,2)... where would the coordinates of A'B'C' be?
Use the algebraic rule: (x,y) ---> (-x,-y)
A': (-1,-2)
B': (-3,-3)
C': (-4, -2)
Simplify & find a final value.
(42)3 ⋅ 52
102,400
Multiply.
(3.1 x 106)(9.3 x 107)
2.883 x 1014
Order the following from LEAST to GREATEST.
2.15, -2.22, 5/2, π, √5,
Least to Greatest
-2.22, 2.15, √5, 5/2, π
Do the following side lengths make a right triangle?
23 cm, 29 cm, 38 cm
No, they do not create a right triangle.
232 + 292 = 382
529 + 841 = 1444
1370 does not equal 1444.
If Triangle ABC has points at A (2,6) B (4,8) and C (10, 12) and is translated 4 left and 3 up, where would the coordinates of Triangle A'B'C' be?
A': (-2,9) B': (0,11) C': (6,15)
Simplify and find a final value. Use the line as a division line.
(35)(34)
-----------
33
36= 729
A ship weighs 2.45 x 106 kilograms. The cargo on board that the ship is transporting weighs 4.56 x 105 kilograms. What is the COMBINED weight of the ship and its cargo?
The combined weight is 2.906 x 106.
Order the following from GREATEST to LEAST.
√38, 2π, 13/2, 6.4
Greatest to Least...
13/2, 6.4, 2π, √38
Do the following side lengths make a right triangle?
121 inches, 100 inches, 231 inches
No, they do not.
1212 + 1002 = 2312
14641 + 10000 = 53361
24641 does not equal 53361
2 Part Question:
a) If Triangle DEF is at the points D (-3,5) E (-6,-7) and F (1, 9) and is moved using the algebraic rule (x,y) ---> (x + 3, y - 2)... find all the points of Triangle D'E'F'.
b) What transformation happened to the triangle? Describe in words.
a) D': (0,3) E': (-3,-9) F': (4, 7)
b) Translation... right 3, down 2