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This is the distance formula:It is used to find the distance between to points, specifically on a coordinate plane.

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Give the coordinates in Quadrant II that is √5 units from (1,3).

(-1,2) or (-1,4)

Give the coordinates in Quadrant I that is 4√2 units apart from (1,1)

(5,5)

Find the coordinates on the x-axis that is 2√5 units apart from (-10,-2).

(-14,0) or (-6,0)

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Algebra 1: G.2, G.3
Geometry: B.7, B.8

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IXL Algebra 1: EE.1, EE.2, EE.3, EE.4, EE.6, EE.7
Algebra 2: L.5, L.6, L.7, L.8, L.9
Must get 100 on all!

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Algebra 1: F.4
Geometry: T. 1-6, T.9

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Algebra 1: A.1 MUST ACHIEVE 100%

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Answers on bottom
3x^3 = 648

3(x^3 - 2/3) =1

-7x^2 + 10(x^2 - 6) = 6(x^2 +4)

√(4 + x) = 5√(x-20)

[2√(2x+1)] / 3 = 6

-n^2 + 33n^2 = -3(1-3n^2) + 44(n^2 - 30)

√(3m-79) = √(28m + 86)

If -5 is a root to a  number, 3x-2, find the value(s) of √(2x + 2) / √ (9x-1)

If the square roots of 3x+1 are 7 and -7, find the value(s) of -√(7x+9)

Answers:
x = 6
x = 1
No Solution
x = 21
x = 40
n= 3√7
No Solution
x = 9, 1/2
x = 16, -11

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IXL: Algebra 1 F.14, F.15, F.16, F.17
Geometry: Q.1, Q.2, Q.4

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The sphere volume is used in real life too. For example: The Lions and the Snakes are in a debate over whether the Snakes cheated or not. The Lions think that the Snakes pitched a smaller baseball than normal when it was the Lion's turn to bat to make it harder for the Lion players to get a good hit. The Lions measured the baseball's dimensions and got 60 cm. for the diameter. The Lions know that the volume of a normal baseball should be between 204000 cm and 230000 cm cubed. If the Lions follow the sphere formula, then they will figure out that the Snakes were cheating.
Below is a link showing how to use the sphere volume formula in real-life:
https://learnzillion.com/lesson_plans/8753-solve-real-world-problems-by-finding-volume-of-spheres
Below is a link to mathematical questions using the sphere volume formula:
http://www.mathexpression.com/sphere-practice.html
Below is a link to real-life questions using the sphere volume formula:
https://www.khanacademy.org/math/basic-geo/basic-geo-volume-surface-area/basic-geo-volumes/e/volume-word-problems-with-cones--cylinders--and-spheres

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(x1+ x2) / 2, (y1 + y2) / 2

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https://www.khanacademy.org/math/basic-geo/basic-geo-pythagorean-topic/basic-geo-pythagorean-theorem/e/pythagorean-theorem-word-problems

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https://www.khanacademy.org/math/basic-geo/basic-geo-pythagorean-topic/basic-geo-special-right-triangle/e/pythagorean_theorem_2

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30-60-90 Ratio = 1: √3 : 2
45-45-90 Ratio = 1: 1: √2

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https://www.brightstorm.com/math/geometry/pythagorean-theorem/pythagorean-theorem-proofs/

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3,4,5
6,8,10
20,21,29
10,24,26
5,12,13
8,15,17
21,28,35
7,24,25

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Adding, Subtracting, and Multiplying Radicals WS

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Adding, Subtracting, and Multiplying Radicals WS

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Don't do #22-26
http://cdn.kutasoftware.com/Worksheets/Alg2/Adding%20Subtracting%20Multiplying%20Radicals.pdf

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Using the Cone Volume Formula in Real Life

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Using the Cone Volume Formula in Real Life

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The cone volume formula is used in real life. An example is: A toy company is selling a cone shaped toy online. The company needs to put the volume of the toy in the information about the toy, to give people who want to buy the toy an idea of how much space it'll take up. If the radius of the base of the cone is 4 in., and the height of the toy is 9 in., then what is the volume of the toy, if you use 3.14 as pi? If the company uses the cone volume formula, they will put 452.16 as the volume online.
Below is a video showing how to use the cone formula in real life situations:
https://learnzillion.com/lesson_plans/7248-solve-real-world-problems-by-finding-volume-of-cones
Below are mathematical problems using the cone volume formula:
http://www.mathworksheets4kids.com/volume/cone-easy1.pdf
Below are questions that review the cylinder, cone, and sphere volumes with real-life problems:
https://www.khanacademy.org/math/basic-geo/basic-geo-volume-surface-area/basic-geo-volumes/e/volume-word-problems-with-cones--cylinders--and-spheres

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Using The Cylinder Volume Formula In Real Life

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Using The Cylinder Volume Formula In Real Life

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The cylinder volume formula is very useful in real life. Many companies use the formula to make their products better and many normal people use it to. For example, someone may be trying to figure out how much water their water bottle can hold. If they lose the label of the water bottle, they can just use the cylinder volume formula, as long a their water bottle is a cylinder. If that person measures their water bottle, and get the measurements of height=5 in., and radius=2 in., if they use the cylinder formula, and 3.14 as pi, that person will figure out that the water bottle's volume is 62.8 inches cubed.
Below is a video showing how to use the cylinder volume formula in real life:
https://learnzillion.com/lesson_plans/7682-solve-real-world-problems-by-finding-volume-of-cylinders
Below are mathematical questions and real-life problems:
http://www.studyzone.org/mtestprep/math8/g/volcylprac.cfm

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Estimating Radicals is solving not perfect roots, for example, √3 would become 1.7. How you ask? This is because 1.7 squared is approximately 2.89 which is close to 3, you can find this by pretending that √3 is actually 300, and finding the  closest square to it, in this case, 17. For example, what would √2 be? We would first expand √2 into 200, next, find the closest square to 200, in this case, 14 (196). Finally, all you have to do is say is √2 = 1.96. For more information go to this link: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/radical-radicals/v/approximating-square-roots
Practice: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/radical-radicals/e/square_roots_2

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Division Property of Square Roots: √a/b = √a/√b ; √a/√b = √a/b
A radical expression in its simplest form has no perfect squares except for 1 in the radicand, no square roots in the denominator, and no fractions in the radicand
Examples: √9/√25 = 3/5
√15/√12 = √15/12 = √5/4 = √5/ 2.
Don't do #15-22
http://cdn.kutasoftware.com/Worksheets/Alg1/Dividing%20Radical%20Expressions.pdf

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Cylinder:Cone:Sphere:

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When a and b are greater than or equal to 0, √ab = √axb = √a√b
Multiplying Radicals is just like multiplying regular numbers, for example, √3 x √5 = √15, and √100 x √2 = √200. Similarly, if you multiply a regular number, for example, 3, by a square root, all you have to do is this: 3 x √69420= 3√69420, simple!

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To add and subtract radicals, you can first simplify the radicals into non-radical numbers.  For example,
√16+√4+√49=4+2+7 = 13.
√225-√144+√64-√25 = 15-12+8-5 = 6
Fractions can also be simplified similarly by simplifying their numerator and denominator.
√8/50 =√4/25 =2/5
Therefore, √36+√27/48-√.25+√16 = 6+3/4-1/2+4 = 10.25

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The Pythagorean Theorem is: a theorem in geometry: the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides, otherwise known as a^2+b^2=c^2.  Pythagorean Theorem Converse is the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

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Integers, Whole Numbers, Natural Numbers

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Integers, Whole Numbers, Natural Numbers

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Integers are counting numbers and their opposites. Whole numbers are all counting numbers and zero. Natural numbers are only
counting numbers so zero is not included.  They are all rational numbers and real numbers.

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Perfect Squares are when you get a whole number after square rooting it.
The same square root multiplied by itself make the square.
Ex. √2 x √2 = 2

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All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point. A rational number can be written as a fraction, in which both the numerator and the denominator are whole numbers.

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Real numbers are numbers on the number line that have a measurable value and can be manipulated.  They include rational and irrational numbers.