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Rational/Irrational
Exponents
Sq.Root/Cube root
scientific notation
Equations
100
Which decimal is equivalent to 3/11?Is it rational or irrational?
0.27272727...........
100
Simplify: ( 3^-2)^4
1/6561
100
x^2=15
+ or - sq.root 15
100
Students at Salt Lake Community College pay 1.585 ×10^4 dollars for tuition.Students at George Washington University pay 4.573 ×10^5 dollars.How many times greater is the tuition at George Washington?
(4.573 x 10^5) = x (1.585 x 10^4) (4.573 x 10^5) / (1.585 x 10^4)=x (1.585 x 10^4)/(1.585 x 10^4) 29 = x
100
Write this statement as an equation. Six more than the quotient of a number and three is 14.
14 = x/3 + 6
200
Which fraction is equivalent to 0.123123123123.....?
123/999
200
(1/4^2)^-3
4096
200
11 and -11 are sq.roots of what number?
121
200
There are 3.4x10^9 particles of dust per cubic meter. How many particles are there in a room that is 1200 cubic meters?
4.08 x 10^12
200
What is the solution of the equation below? 2p - 14 = 4(p + 5)
-17
300
Determine a rational number between 1/3 and 3/4.
Different Answers.e.g 1/2
300
13^-4/13^-5
13
300
Place in order: √144,√4,3√64,3√1000
√4, 3√64,3√1000,√144
300
The mass of a paper clip is 9.4 × 1 0^ -4 kilogram. What is this mass in standard form?
0.00094 kg
300
What is the solution of the equation below? -2(2p - 4) = 3(p + 12)
-4
400
The two trees in Opal’s back yard have circumferences of 12 5/8 inches and 12 3/5 inches. Which circumference is larger?
12 5/8
400
x^-3.y^4/y^-4.X^3
x^-6.y^8
400
Why doesn’t a cube root have two answers?
b/c in cube root, (2)^3= 8 (-2)^3=-8
400
Light travels at approximately 3.0 x 10^8 m/sec. How far does light travel in one hour?
8.3 x 10^4
400
A moving company charges $40 plus $0.25 per mile to rent a van. Another company charges $25 plus $0.35 per mile to rent the same van. For what number of miles will the rental cost be the same for both companies?
150 miles
500
When a rational number is added to an irrational number.What is the result :rational or irrational
Always Irrational. e.g 2 + 0.1234567...=2.1234567 2 + Sq.Root 3
500
4{-2x^-3(4x^2)}^3
-2048x^-3
500
√961 + 3√729 = ?
40
500
The half-life of Uranium 234 is 2.5 x 10^5 years and the half-life of Plutonium is 8.0 x 10^7 years. How many times greater is the half-life of Plutonium than Uranium 234?
Divide: (8.0 x 107 ) / (2.5 x 105 ) = 3.2 x 102 = 320 times greater.
500
A taxicab service charges $3.75 plus $0.40 per mile. Molly takes a taxicab from the hotel to the airport. If the total charge was $10.95.Determine the number of miles from the hotel to the airport?
18