Operations

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Pre-Algebra › Operations

Questions 1 - 10
1

Explanation

We have two positive numbers and one negative number. We work from left to right. When a positive number is divided by a negative number, the answer is a negative number. The same applied when divided by a positive number.

Now the expression becomes,

.

Answer is .

2

Explanation

There is a negative number and zero. Regardless whether the number is positive or negative, anything multiplied by zero is always zero. Answer is .

3

Simplify the following as far as possible:

Explanation

If we use the foil method we get the following:
First:

Inner:

Outer:

Last:

If that is simplified we're left wiht

4

is equal to which of the following?

Explanation

This is a straightforward problem. Remember that when adding a negative number, you are actually subtracting:

Be sure to remember that the first number is also negative, meaning we are subtracting a number from a negative number:

The answer is -6.25.

5

Simplify the following as far as possible:

Explanation

If we use the foil method we get the following:
First:

Inner:

Outer:

Last:

If that is simplified we're left wiht

6

Solve:

Explanation

When two negative numbers are being divided, our answer is positive. The quotient is .

7

Solve:

Explanation

When multiplying with a positive number and a negative numberr, our answer is negative. The product is .

8

Which expression simplifies to

Explanation

results in when simplifying with the foil method as follows:
First:

Inner:

Outer:

Last:

9

What expression simplifies to

Explanation

When simplified using the FOIL method results in the following:

First:

Inner:

Outer:

Last:

When the 2 is distributed and the expression simplified we are left with

10

A salesman for a car dealership earns 12% commission on all sales. What will be his commission for a week if he sells three cars that week - a $55,000 SUV on Tuesday, a $28,000 car on Thursday, and a $42,000 van on Friday?

Explanation

The total sale price of the cars he sells will be

.

12% of $125,000 is

,

which is the salesman's commission.

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