Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #2591 : Algebra 1

Simplify

Possible Answers:

Correct answer:

Explanation:

When adding integers first consider the signs of the numbers being added. Then simply work right to left. 

So the answer is 

 

Example Question #2592 : Algebra 1

Consider the expression:

If you know the value of  and , then in which order would you carry out the four operations in this expression in order to evaluate it?

Possible Answers:

Add, square, divide, subtract

Add, divide, square, subtract

Square, subtract, add, divide

Square, divide, add, subtract

Add, divide, subtract, square

Correct answer:

Add, square, divide, subtract

Explanation:

According to the order of operations:

Work any operation in parentheses first - here it would be the addition.

What remains would be an exponent (the squaring), a division, and a subtraction, which, according to the order of operations, would be worked in that order.

Example Question #2593 : Algebra 1

The Venn diagram depicts the number of students taking Spanish and Japanese classes. How many students in total are taking Japanese class?

Question_4

Possible Answers:

Correct answer:

Explanation:

There are 48 students taking only Japanese and 15 students taking both Japanese and Spanish. The total number taking Japanese classes is the sum of these two groups.

Example Question #2 : Basic Operations With Complex Numbers

Subtract:

 

 

Possible Answers:

Correct answer:

Explanation:

This is essentially the following expression after translation:

Now add the real parts together for a sum of , and add the imaginary parts for a sum of .

Example Question #7 : How To Add Integers

Multiply:

Answer must be in standard form.

Possible Answers:

Correct answer:

Explanation:

 The first step is to distribute which gives us:

  

which is in standard form.

Example Question #1 : Adding And Subtracting Radicals

 

Possible Answers:

Correct answer:

Explanation:

 

 

 

Example Question #1 : Complex Numbers

Add:

Possible Answers:

Correct answer:

Explanation:

When adding complex numbers, add the real parts and the imaginary parts separately to get another complex number in standard form.

Adding the real parts gives , and adding the imaginary parts gives .

 

Example Question #4 : How To Add Integers

Solve:  

Possible Answers:

Correct answer:

Explanation:

To solve , first add the ones digit.

The ones digit is 4. Since 14 is ten or greater, carry the tens digit to the next number.

Add the tens digit with the one carried over.

The tens digit is 1.  Since 11 is ten or greater, carry the tens digit to the next number.  There are no hundreds digit with 98.  Add both the thousands and hundreds digit to the carry over.

Combine this with the tens and ones digits.

The answer is:  

Example Question #132 : Real Numbers

Solve: 

Possible Answers:

Correct answer:

Explanation:

Add the ones digit.  

Carry over the 1 since 11 is ten or greater, and then add the tens digit with the carryover.

Repeat the process for the hundreds digit with the carry over.

Combine all the digits.

The answer is .

Example Question #12 : How To Add Integers

Find the sum of .

Possible Answers:

Correct answer:

Explanation:

Since we are adding two negative numbers, the sign of the answer becomes negative. The overall answer is negative; however, we will treat this problem as a normal addition.

The sum is  and we add the negative sign in front to get a final answer of .

Therefore,.

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