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Multiplication Properties of Exponents
Square Roots and Pythagorean Theorem
Transformations
Scientific Notations & Division Properties of Exponents
Real Numbers & Decimals-Fraction Conversion
100
Evaluate 4³
4³ = 64
100
Simplify the square root of 324. (√324 = ?)
√324 = 18
100
Transform the ordered pairs (0,5), (5,8),(-3,2) with the transformation rule: (x,y)→(x,-y)
(0,-5), (5,-8), (-3,-2)
100
Is 0.91×10⁰ a scientific notation? Explain.
0.91×10⁰ is not a scientific notation because 0.91 is less than 1.
100
Classify 0.5 as natural, whole, integer, rational, irrational, and/or real.
0.5 is rational and real
200
Evluate -5⁰
-5⁰ = -1
200
Simplify the cube root of 729. (³√729 = ?)
³√729 = 9
200
Transform the ordered pairs (0,0), (7,5), (5,-2) with the transformation rule: (x,y)→(5-x,y)
(5,0), (-2,5), (0,-2)
200
Convert 0.0000129 to scientific notation.
Scientific Notation: 1.29×10ˉ⁵
200
What is the difference between natural number and whole number?
Whole number contains all natural number plus the number 0.
300
Simpify (x⁵)⁶
(x⁵)⁶ = x³⁰
300
Is 17, 8, 15 a Pythagorean Triple? (SHOW WORK TO RECEIVE POINTS)
17, 8, 15 is a Pythagorean Triple because 8²+15² equals to 17².
300
Write a transformation rule describing from the ordered pairs (3,4),(-5,6),(5,7) to the order pairs (4,-3),(6,5),(7,-5)
(x,y)→(y,-x)
300
Simplify (6×10³)(4×10⁶) in scientific notation
(6×10³)(4×10⁶) = 24×10⁹ = 2.4 ×10¹⁰
300
Convert 0.12 to fraction in simplest form
0.12 = 12/100 = 3/25
400
Simpify (7²)⁴∙7⁴
(7²)⁴∙7⁴ = 7¹²
400
In a right triangle, if the length of the leg is 5 feet and the the length of the hypotenuse is 13 feet, find the length of the other leg.
5²+b²=13², 25+b²=169, b²=144, b=12. The length of the other leg is 12 feet.
400
Transform the ordered pairs (5,9),(-1,8),(4,5) with the transformation rule: (x,y)→(x+8,y-6)
(13,3),(7,2),(12,-1)
400
Simplify (3x³y⁷)/(18x⁷y⁵)
(3x³y⁷)/(18x⁷y⁵) = y²/(6x⁴)
400
Convert 0.363636... to fraction in simplest form
0.363636... = 36/99 = 4/11
500
Simplify (5x³y⁴z²)³
(5x³y⁴z²)³ = 125x⁹y¹²z⁶
500
Find the perimeter of a right triangle with leg 8 feet and hypotenuse 10 feet. (Hint: Perimeter is the sum of three sides of a triangle).
Use 8²+b²=10² to get b = 6. Then perimeter is 6+8+10 = 24 feet.
500
Describe the transformation (x,y)→(x-3,y-8) in words.
The ordered pairs translated 3 units left and 8 units down.
500
Twenty million, or 2×10⁷ California residents send a total of 6×10⁸ text messages. Find the number of text messages sent per resident.
(6×10⁸)/(2×10⁷) = 30 text messages
500
Order the following numbers from smallest to greatest: π/4, 39/50, 0.8
π/4 = 0.785, 39/50 = 0.78, 0.8 = 0.8. Order: 39/50, π/4, 0.8