Power Hour 8 (New)

Math

1

Find x 

5x + 3 = 7x – 1

x = 2

5x + 3 = 7x – 1
now collect like terms
3 + 1 = 7x – 5x
every time you move something it changes signs
4 = 2x anything multiplied is divided on the other side and vice versa
4/2 = x
2 = x

2

The price of a book went up from $20 to $25. By how much percent did the price increase?

25%

The price increased from $20 to $25 ($5) so the question is 5 is what percent of 20. Or, 5/20 = x/100 ; 500/20 = 25%

3

Find x 

5x + 2(x + 7) = 14x – 7

x = 3

5x + 2(x + 7) = 14x – 7
5x + 2x + 14 = 14x – 7
7x + 14 = 14x – 7
7x – 14x = -14 – 7
-7x = -21
x = 3

4

A number is increased by 2 and then multiplied by 3. The result is 24. What is this number?

6

Let us call this number by x:

This number is increased by 2: x + 2

Then, it is multiplied by 3: 3(x + 2)

The result is 24: 3(x + 2) = 24 … Solving this linear equation, we obtain the value of the number:

x + 2 = 24 / 3

x + 2 = 8

x = 8 – 2

x = 6

5

Worth Double Points!!

Mr. Dre sells cotton candy by the bag. His monthly fixed costs are $150. It costs $2.50 to make each bag and he sells them for $4.00.

What is the monthly break-even point? (Gonna be a bag number)

100 bags

Costs=150+2.50x

Revenues=4.00x

The break-even point occurs when the costs=revenues.

The equation to solve becomes

4x=150+2.5x so the break-even point is 100 bags.

Science

1

What is a pure substance that can't be broken down by chemical means.

Element

2

What is force that slows or stops motion when objects rub together called?

Friction

3

Worth Double Points!!

What is the term for an unborn baby that's been incubated for at least 8 weeks?

Fetus

4

Worth Double Points!!

What is Potassium periodic table symbol?

K

5

A mammal that is not completely developed when it is born and is carried around in a pouch is called what?

A marsupial

Social Studies

1

What animal is the powerful symbol of United States of America?

Bald Eagle

2

Worth Double Points!!

Refusing to work in order to force an employer to meet certain demands is called what?

A strike

3

A constitutional right to reject a decision or proposal made by a law-making body is called what?

Veto

4

The secret and illegal trade of goods is called what?

Smuggling

5

Worth Double Points!!

Scandinavian seafaring pirates and traders who raided many parts of Europe are called what?

Vikings

English

1

Worth Double Points!!

Language used to create a special effect or feeling is called what?

Figurative Language

2

Worth Double Points!!

The main character of a story is called what?

Protagonist

3

The part of speech (or word class) that modifies a noun or a pronoun

Adjective

4

Name this person:

Edgar Allan Poe

5

Spell:

Amateur

Celebrities

1

This celebrity is known for recently being in the news for using a weapon on another celebrity.

Tory Lanez

2

Worth Double Points!!

This celebrity is known for singing and recently revealed that they are expecting a baby with a music producer.

Summer Walker

3

This celebrity was an up-and-coming star that was known for being a Brooklyn drill rapper.

Pop Smoke...Woo

4

Worth Double Points!!

This celebrity is known for being in an on-again-off-again relationship with a rapper. This celebrity is also Japanese, Dominican, African American, Native American, German and Jewish. 

Jhené Aiko

5

This celebrity is known as the queen of Christmas and has one of the best-selling Christmas songs of all time.

Mariah Carey