Equations
Rational vs. Irrational
Laws of Exponents
Scientific Notation
Pythagorean Theorem
100
Solve for x. 4x=8
x=2
100
Rational or Irrational? 2/3
Rational
100
Solve: 2^2 x 2^6 _________ 2^6
2^2 WHICH EQUALS 4
100
Convert the following number to scientific notation: 6,840,000
6.84 x 10^6
100
The lengths of the legs of a triangle are 6 and 8. What is the length of the hypotenuse?
10
200
Solve for x. 2x-3=9
x=6
200
Rational or Irrational? square root of 26
Irrational (non perfect square)
200
Rewrite using a single exponent: (x^3)^5 _______ = x^15
x^0 WHICH EQUALS 1
200
Convert the following number to scientific notation: .00000782
7.82 x 10^-6
200
One leg of a right triangle is 4 inches long. The hypotenuse is 12 inches long. How long is the other leg? Round your answer to the nearest tenth.
11.3 inches
300
Solve for x. 1/2x+2=10
x=4
300
Rational or Irrational? cube root of 27
Rational
300
Rewrite as a single exponent: a^2 x a^-4
1 _ a^2
300
Convert the following number to standard form: 9.64 x 10^-5
.0000964
300
TV's are labeled by their length from one corner to the opposite corner. What is the size of a TV that has a length (across the bottom) of 48 inches, and a height of 36 inches?
60 inch TV
400
Write an equation AND solve it for the following scenario: You walk into taco bell and order a burrito for $2, and 2 soft tacos. Your total was $5. How much was each burrito?
2x+2=5 x=$1.50
400
Is "pi" a rational or irrational number?
Irrational
400
The measure, in degrees, of angle X is represented by the expression shown below. (3^2)^-3 x 2^6 x 3 ________________ 6^2 x 9^-4 What is the measure of angle X?
48 degrees
400
The distance from Earth to Jupiter is approximately 5.85 x 10^8 miles. The distance from Jupiter to Pluto is approximately 3.21 x 10^9 miles. What is the distance from Earth to Pluto? Write your answer in scientific notation.
3.795 x 10^9
400
Town X is 2.8 x 10^5 feet North of town Y. Town Z is 2.1 x 10^5 feet East of town Y. What is the shortest distance, in feet, from town X to town Z? Write your answer in scientific notation.
3.5 x 10^5 feet
500
Write an equation AND solve it for the following scenario: You are cutting grass for your neighbor, who tells you his yard is 100 square feet. What are the dimensions (length and width) of his square shaped yard?
x^2=100 x=10 feet
500
Which statement correctly describes the number 62/495 and its equivalent decimal notation? a.) The number is a rational number and its equivalent decimal notation is a repeating decimal number. b.) The number is a rational number and its equivalent decimal notation is a terminating decimal number. c.) The number is an irrational number and its equivalent decimal notation is a repeating decimal number.
a. The number is a rational number and its equivalent decimal notation is a repeating decimal number.
500
A company makes a puzzle that is made up of 5^3 small plastic cubes. The puzzles are shipped in boxes that each contain 5^2 puzzles. The boxes are loaded into trucks that each contain 5^3 boxes. What is the total number of small plastic cubes in each truck?
5^8 OR 390,625
500
The human body contains about 1 x 10^12 bacteria. The human body contains about 4 x 10^4 genes. The number of bacteria contained in the human body is how many TIMES as great as the number of genes contained in the body?
25,000,000 OR 2.5 x 10^7
500
Triangular shapes are some of the strongest shapes used in construction. When an architect is a designing a bridge, he decides to make the base out of a series of right triangles. The steel he bought came in three different lengths: 12 feet, 21 feet, and 16 feet. Without changing the length of the steel rods, will the architect be able to use these rods to make the right triangles for the base of his bridge? Show your work.
No, because 12^2 + 16^2 does not equal 21^2 (FALSE)
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