Pre-Algebra

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Questions 1 - 10
1

What is the perimeter of a triangle with side lengths of , , and ?

Explanation

To find the perimeter of a triangle, add the lengths of all sides together:

2

Sarah sells necklaces for each. She sells necklaces in a month at this price. If she applied a % discount to the price of her necklaces, she would sell an additional necklaces in a month. How much additional money would Sarah make in sales if she sold her necklaces with the % discount for a month?

Explanation

To find how much additional money Sarah would make by applying the discount, find the difference between her earnings in a normal month and a month where the discount is applied. In a normal month, multiply the normal price by the normal quantity sold to find the normal earnings:

To find earnings at the discounted price, first calculate how much each necklace will cost with the % discount. To do this, subtract the amount discounted (calculated by percent as a fraction of multiplied by the original price) from the original price.

If necklaces are sold at the new discounted price of each, multiply these together to find the total earnings with the discount.

Finally, subtract the earnings without the discount from the earnings with the discount to find the additional money made by applying the discount.

3

What is the volume of a cone with a height of meters and a base diameter of meters?

Explanation

The formula for the volume of a cone is .

Notice that we are given the diameter, meters, not the radius; thus, we have to solve for the radius by dividing the diameter by two. The radius is therefore 3 meters. Then, we plug this value into the formula for volume:

4

What is the area of a triangle with a base of and a height of ?

Explanation

The formula for the area of a triangle is .

Plug in our given values.

5

What is the perimeter of a triangle with side lengths of , , and ?

Explanation

To find the perimeter of a triangle you must add the three side lengths together.

In this case our equation would look like

Add the numbers together to get the answer .

6

What is the difference between 8 and -2?

10

6

-10

-6

4

Explanation

Since we want to find the difference between 8 and -2, we want to subtract -2 from 8. Since subtracting is equivalent to adding the same number with the opposite sign, we have the below:

7

What is the perimeter of a square with a side length of ?

Explanation

To find the perimeter of a square you must multiply the side length by .

To do this we plug the side length into the equation

Multiply the side length, , by to get the answer .

8

What is the perimeter of a rectangle with a base of and a height of ?

Explanation

To find the perimeter of a rectangle you must find the sum of all of the side lengths.

To do this we plug the base and height into the equation

With a base of and a height of our equation would look like

Multiply and add the numbers together

The answer is .

9

One side of a square is inches long. What is the perimeter of the square?

inches

inches

inches

inches

inches

Explanation

The perimeter of a square is the sum of all of the sides of the square. In this case, each side is inches long. Since a square has four equal sides, we get a perimeter of inches.

10

What is the perimeter of a triangle with side lengths of , , and ?

Explanation

To find the perimeter of a triangle, add the lengths of all sides together:

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