Algebra 1 : Integer Operations

Study concepts, example questions & explanations for Algebra 1

varsity tutors app store varsity tutors android store

Example Questions

Example Question #161 : Real Numbers

Solve.

Possible Answers:

Correct answer:

Explanation:

First, let's work from left to right. A plus and minus sign make a minus sign. Since  is greater than  and is positive, our answer is positive. We treat as a subtraction problem and get an answer of . Then,  is greater than  and is negative, our answer is negative. Our final answer is .

Example Question #161 : Integer Operations

Solve.

Possible Answers:

Correct answer:

Explanation:

When a plus and minus are together, the sign changes to negative. When adding two negative numbers, we treat as addition but keep the minus sign in the end. The answer is .

Example Question #162 : Integer Operations

Simplify the following expression:

Possible Answers:

Correct answer:

Explanation:

To solve this question you need to simply across. Performing the function that is is asking for. So,

Example Question #163 : Integer Operations

Possible Answers:

Correct answer:

Explanation:

Both numbers are positive. Just add normally. The sum is .

Example Question #164 : Integer Operations

Possible Answers:

Correct answer:

Explanation:

The plus and minus sign become a minus sign. It's just a subtraction problem. Answer is .

Example Question #165 : Integer Operations

Possible Answers:

Correct answer:

Explanation:

Since  is greater than  and is negative, our answer is negative. We treat as a normal subtraction. Answer is .

Example Question #166 : Integer Operations

Possible Answers:

Correct answer:

Explanation:

Since  is greater than  and is negative, our answer is negative. We treat as a normal subtraction. Answer is .

Example Question #167 : Integer Operations

Possible Answers:

Correct answer:

Explanation:

When adding with another negative number, just treat as an addition problem and then add a negative sign in front. Our answer is .

Example Question #168 : Integer Operations

Possible Answers:

Correct answer:

Explanation:

When adding with another negative number, just treat as an addition problem and then add a negative sign in front. Answer is .

Example Question #170 : Real Numbers

Add the following two integers:

 and 

Possible Answers:

Correct answer:

Explanation:

We can look at the number line to help us understand adding integers. If we start at zero and move 3 integers to the left (negative) we will be at -3.

N2

Now we will add 5 to this. We will move over to the right (positive) 5 integers.

N3

And we end up at 2, which is the answer. We are adding both numbers but one of them happens to be a negative number. Because of the communtative property of addition it is possible to start with 5 and add -3.

M1

M3

and we still end up at 2.

Learning Tools by Varsity Tutors