Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

varsity tutors app store varsity tutors android store

Example Questions

Example Question #31 : Operations With Whole Numbers

Evaluate the following:

\(\displaystyle -4 -6\)

Possible Answers:

\(\displaystyle 2\)

\(\displaystyle -2\)

\(\displaystyle 10\)

\(\displaystyle -10\)

Correct answer:

\(\displaystyle -10\)

Explanation:

When you subtract integers, it is the same thing as adding the inverse of the second integer. You can consider the following:

\(\displaystyle -4 -6\)

\(\displaystyle -4 + (-6) = -10\)

You can also consider the problem as asking for six less than negative four. This will also get you to the answer of \(\displaystyle -10\)

Example Question #2491 : Algebra 1

Evaluate the following:

\(\displaystyle -5-(-4)\)

Possible Answers:

\(\displaystyle -1\)

\(\displaystyle -9\)

\(\displaystyle 1\)

\(\displaystyle 9\)

Correct answer:

\(\displaystyle -1\)

Explanation:

When you subtract integers, it is the same thing as adding the inverse of the second integer. You can consider the following:

\(\displaystyle -5-(-4)\)

\(\displaystyle -5 + 4 = -1\)

Example Question #3 : How To Subtract Integers

Simplify.

\(\displaystyle 13-9\)

Possible Answers:

\(\displaystyle 7\)

\(\displaystyle 4\)

\(\displaystyle 5\)

\(\displaystyle 6\)

\(\displaystyle 3\)

Correct answer:

\(\displaystyle 4\)

Explanation:

This is a simple subtraction problem involving two positive numbers.

\(\displaystyle 13\) is greater than \(\displaystyle 9\); therefore, we will treat this operation as a normal subtraction problem.

\(\displaystyle 13-9=4\)

The answer is \(\displaystyle 4\).

Example Question #4 : How To Subtract Integers

Simplify.

\(\displaystyle 21-7\)

Possible Answers:

\(\displaystyle 18\)

\(\displaystyle 14\)

\(\displaystyle 23\)

\(\displaystyle 17\)

\(\displaystyle 24\)

Correct answer:

\(\displaystyle 14\)

Explanation:

This is a simple subtraction problem involving two positive numbers.

\(\displaystyle 21\) is greater than \(\displaystyle 7\); therefore, we will treat this operation as a normal subtraction problem.

\(\displaystyle 21-7=14\)

The answer is \(\displaystyle 14\).

Example Question #2492 : Algebra 1

Simplify.

\(\displaystyle 98-98\)

Possible Answers:

\(\displaystyle 2\)

\(\displaystyle 1\)

\(\displaystyle 0\)

\(\displaystyle -1\)

\(\displaystyle 2\)

Correct answer:

\(\displaystyle 0\)

Explanation:

This is a simple subtraction problem involving two positive numbers.

The numbers are the same with diferent signs; therefore, their difference is \(\displaystyle 0\).

\(\displaystyle 98-98=0\)

Example Question #3 : How To Subtract Integers

Simplify.

\(\displaystyle -2-(-3)\)

Possible Answers:

\(\displaystyle 1\)

\(\displaystyle 5\)

\(\displaystyle 3\)

\(\displaystyle -5\)

\(\displaystyle -1\)

Correct answer:

\(\displaystyle 1\)

Explanation:

This is a complex subtraction problem involving two negative numbers.

\(\displaystyle -2-(-3)\)

Subtracting a negative number is the same as adding a positive number. Rewrite.

\(\displaystyle -2+3\)

Since \(\displaystyle 3\) is greater than \(\displaystyle 2\) and is positive, the answer is positive. We will treat this operation as a subtraction problem.

\(\displaystyle 3-2=1\)

The answer is \(\displaystyle 1\).

Example Question #32 : Integer Operations

Simplify.

\(\displaystyle -5-(-2)\)

Possible Answers:

\(\displaystyle 3\)

\(\displaystyle -3\)

\(\displaystyle -10\)

\(\displaystyle 7\)

\(\displaystyle -7\)

Correct answer:

\(\displaystyle -3\)

Explanation:

This is a complex subtraction problem involving two negative numbers.

\(\displaystyle -5-(-2)\)

Subtracting a negative number is the same as adding a positive number. Rewrite.

\(\displaystyle -5+2\)

Since \(\displaystyle 5\) is greater than \(\displaystyle 2\) and is negative, the answer is negative. We will treat this operation as a subtraction problem.

\(\displaystyle -(5-2)=-3\)

The answer is \(\displaystyle -3\).

Example Question #36 : Integer Operations

Simplify.

\(\displaystyle -13-(-13)\)

Possible Answers:

\(\displaystyle 26\)

\(\displaystyle 2\)

\(\displaystyle -26\)

\(\displaystyle 1\)

\(\displaystyle 0\)

Correct answer:

\(\displaystyle 0\)

Explanation:

This is a complex subtraction problem involving two negative numbers.

\(\displaystyle -13-(-13)\)

Subtracting a negative number is the same as adding a positive number. Rewrite.

\(\displaystyle -13+13\)

The numbers are the same with diferent signs; therefore, their difference is \(\displaystyle 0\).

\(\displaystyle 13-13=0\)

Example Question #4 : How To Subtract Integers

Simplify.

\(\displaystyle 4-(-5)\)

Possible Answers:

\(\displaystyle 9\)

\(\displaystyle -1\)

\(\displaystyle 1\)

\(\displaystyle 3\)

\(\displaystyle -9\)

Correct answer:

\(\displaystyle 9\)

Explanation:

This is a complex subtraction problem involving a positive and a negative number.

\(\displaystyle 4-(-5)\)

Subtracting a negative number is the same as adding a positive number. Rewrite.

\(\displaystyle 4+5\)

We have an addition problem now.

\(\displaystyle 4+5=9\)

The answer is \(\displaystyle 9\).

Example Question #31 : Real Numbers

Simplify.

\(\displaystyle 10-(-16)\)

Possible Answers:

\(\displaystyle 26\)

\(\displaystyle 6\)

\(\displaystyle -6\)

\(\displaystyle 18\)

\(\displaystyle -26\)

Correct answer:

\(\displaystyle 26\)

Explanation:

This is a complex subtraction problem involving a positive and a negative number.

\(\displaystyle 10-(-16)\)

Subtracting a negative number is the same as adding a positive number. Rewrite.

\(\displaystyle 10+16\)

We have an addition problem now.

\(\displaystyle 10+16=26\)

The answer is \(\displaystyle 26\).

Learning Tools by Varsity Tutors