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Equations and Expressions
Scientific Notation and Exponents
Pythagorean Theorem
Vocabulary
100
write an expression that represents the following statement:
"fifty-four less than a number"
n-54
100
Solve the equation below:
a+21=54
a=33
100
What is required for a number to be in Scientific notation?
It must be a product of a factor between 1 and 10 and a power base 10. Ex:
6.5xx10^5
100
What does the triangle sum theorem claim?
The sum of the angles of a triangle equal 180 degrees.
100
What is a Constant?
A number that does not change. It has no variable.
200
Write an equation to represent the statement below:
"A number is the same as the product of one half and twice the same number."
n=1/2*2n
200
Solve for m:
m/(-2/3)=12
m=-18
200
Two events are happening over Christmas break, Mr. Strouse is having his Christmas party, where 2.2 x 10^2 people have RSVP'd. The other is that Mr. Strouse has to get a new drivers license at the DMV, where he has to wait in line behind 1.01 x 10^5 people. Which event has a larger the turnout?
The DMV. Always the DMV.
200
What is Pythagorean's theorem?
IF you have a right triangle, then the sum of the square of it's legs equal the square of the hypotenuse.
a^2+b^2=c^2
200
I am the number attached to a variable term, what am I?
A Coefficient
300
Write an expression that represents the following sentence:
"twice the square of 2 and a number"
2(2x)^2
300
Evaluate the expression below when t=-8 and w=-1/6:
6+(-56/t)+6w
-2
300
Write the number below in standard notation.
3.5505xx10^6
3,550,500
300
A 13 foot pole is tethered to the ground by a cable that runs from the top of the pole to a point in the ground 8 feet away from the base of the pole. What is length of the cable? Round your answer to the nearest tenth.
The cable is approximately 10.2 feet long.
300
I am pieces of an expression split up by addition. What am I?
Terms
400
Create a statement that represents the equation below:
5+(n/9)=8
The sum of 5 and the quotient of a number and 9 is the same as 8.
400
Solve for the variable:
5=15s+12-12s
s=-7/3
400
Write the number below in Standard notation:
2.245xx10^-3
0.002245
400
A triangle has the side lengths 6.4 meters, 2.5 meters, and 5.6 meters. determine if this is a right triangle.
No, it is not a right triangle.
400
I can be written as a ratio of two integers. My decimals terminate or repeat. What am I?
Rational numbers
500
Translate:
"the sum of four consecutive odd numbers has the same value as 1,357."
Let n equal an odd number, then:
n+(n+2)+(n+4)+(n+6)=1,357
500
Solve for x:
3(2/3p+3)=8p+(-2p)+4
p=5/4
500
Write the number below in Scientific Notation:
0.000030014
3.0014xx10^-5
500
A satellite is in orbit 600 km above Earth's surface. Earth's radius is about 6,370 km. Using the Pythagorean Theorem, the distance (x) from the satellite to the earth's horizon is how far?
2829 kilometers
500
I am real and contained in the integers, but not natural numbers. What am I?
Whole Numbers