### All Pre-Algebra Resources

## Example Questions

### Example Question #81 : The Number System

Solve:

**Possible Answers:**

**Correct answer:**

When subtracting with a negative sign, it turns into addition. Now we have . The answer is .

### Example Question #91 : The Number System

Solve:

**Possible Answers:**

**Correct answer:**

Let's work from left to right since it's only subtraction and addition. Since is greater than and it's positive our answer is positive, but we treat this like a subtraction problem because the is negative. . Now we have . is greater than and it's negative so our answer is negative and we treat this like a subtraction problem. , but since our answer should be negative our answer is .

### Example Question #92 : Negative Numbers

Solve:

**Possible Answers:**

**Correct answer:**

When multiplying two negative numbers, the negative signs cancel each other out, making for a positive solution. If only one number is negative, the solution will be negative.

Therefore we can rewrite as , which is .

### Example Question #91 : Negative Numbers

Solve:

**Possible Answers:**

**Correct answer:**

Solve by first combining signs and eliminate the parentheses.

A positive multiplied with a negative sign will give a negative sign.

### Example Question #93 : Negative Numbers

Solve:

**Possible Answers:**

**Correct answer:**

First, since we are multiplying a negative value with a positive value, we need to realize the product is going to be negative. Next, we can multiply the values.

Since the answer is negative, the answer is .

### Example Question #91 : Negative Numbers

Solve:

**Possible Answers:**

**Correct answer:**

When dividing with two negative values, the answer becomes positive. Then we just divide by , which equals . The answer is or .

### Example Question #10 : Divide Integers: Ccss.Math.Content.7.Ns.A.2b

Solve:

**Possible Answers:**

**Correct answer:**

When dividing with negative numbers, we count the number of negative numbers. We have one so that means the answer is negative. So the quotient is .

### Example Question #1 : Multiply And Divide Rational Numbers Using Properties Of Operations: Ccss.Math.Content.7.Ns.A.2c

Solve:

**Possible Answers:**

**Correct answer:**

When solving this problem remember our orders of operation, or PEMDAS.

PEMDAS stands for parentheses, exponents, multiplication/division, and addition/subtraction. When you have a problem with several different operations, you need to solve the problem in this order and you work from left to right for multiplication/division and addition/subtraction.

Simplify the quantities inside the parentheses. Then multiply and distribute the coefficient in front.

### Example Question #1 : Multiply And Divide Rational Numbers Using Properties Of Operations: Ccss.Math.Content.7.Ns.A.2c

Solve:

**Possible Answers:**

**Correct answer:**

When solving this problem remember our orders of operation, or PEMDAS.

PEMDAS stands for parentheses, exponents, multiplication/division, and addition/subtraction. When you have a problem with several different operations, you need to solve the problem in this order and you work from left to right for multiplication/division and addition/subtraction.

Evaluate the quantities inside the parentheses first.

Certified Tutor

Certified Tutor