Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #11 : How To Find Mean

A math test was given to a classroom of students last week. 8 students received a score of 90, 6 students received a score of 80, and 6 students received a score of 70. What was the average score of the class?

Possible Answers:

Correct answer:

Explanation:

To find the average score, you must total the scores of everyone in the class and divide it by the number of students in the class. 8 students received a score of 90, 6 students received a score of 80, and 6 students received a score of 70. The total score of the class is . There are 20 students in the class, so the average score must be .

Example Question #11 : How To Find Mean

This semester, Reese took 4 tests for his algebra class. Among the 4 tests, he earned an average score of 88. If he scored an 84, 85, and 90 on his first 3 tests, what was his score on the fourth test?

Possible Answers:

Correct answer:

Explanation:

Reese's average score is calculated by dividing the sum of his test scores by the number of tests he took. This semester, Reese took 4 tests and his average score was 88, which means the sum of his test scores must be 362 (88 multiplied by 4). On the first three tests, he scored an 84, 85, and 90. This means that his fourth test score must be

Example Question #13 : How To Find Mean

In terms of , give the mean of these five data values:

Possible Answers:

Correct answer:

Explanation:

Add, then divide by 5:

Example Question #13 : How To Find Mean

What is the mean of all of the prime numbers between 75 and 100?

Possible Answers:

Correct answer:

Explanation:

The prime numbers between 75 and 100 are 79, 83, 89, and 97. To find their mean, add them and divide by 4:

Example Question #15 : Statistics And Probability

What is the mean of all of the natural numbers from 1 to 99?

Possible Answers:

Correct answer:

Explanation:

The sum of the first  natural numbers is , so their mean is  

The mean of the first 99 natural numbers is .

Example Question #1441 : Algebra 1

A student is interested in knowing how much time his classmates spend watching TV each night. He asks them and gets the following results (in minutes).

30, 60, 45, 42, 48, 87, 15, 22, 25, 92, 70, 75

What was the mean time spent watching TV?

Possible Answers:

Correct answer:

Explanation:

30, 60, 45, 42, 48, 87, 15, 22, 25, 92, 70, 75

First, sum the number of minutes spent watching TV by all classmates.

Then, divide the sum by the number of students. There are twelve values, so twelve students answered the question.

Example Question #22 : How To Find Mean

A short quiz with 5 questions is given to a class of 30 students. 7 students answered 5 questions correctly, 12 students answered 4 questions correctly, 9 students answered 3 questions correctly, and 2 students answered 2 questions correctly.

What is the mean number of correct answers among the students in the class?

Possible Answers:

Correct answer:

Explanation:

To find the average score of the class, you must add the total score of all of the students and divide it by the number of students. 7 students answered 5 questions correctly, 12 students answered 4 questions correctly, 9 students answered 3 questions correctly, and 2 students answered 2 questions correctly, so this gives you a total score of 114: . Then, divide the total score of 114 by 30 to get an average score of 3.8

Example Question #1442 : Algebra 1

Find the mean of the following set of numbers: 32, 23, 46, 52, 37. 

Possible Answers:

Correct answer:

Explanation:

To find the mean, or average, of a set of numbers, you first add all of the numbers together:

.

Then, you divide the sum by the total number of numbers, which in this set is 5 (i.e., there are 5 numbers in this set):

.

38 is the mean, or average, of this set of numbers.

Example Question #1443 : Algebra 1

Find the mean of the following: 65, 70, 91, 85, 89

Possible Answers:

Correct answer:

Explanation:

Example Question #1444 : Algebra 1

We want to create a three-digit code for a combination lock.  Only digits from 0-9 are allowed and digits cannot be repeated.  How many such codes can be generated?

Possible Answers:

Correct answer:

Explanation:

The first position can be filled in 10 ways.  Since repetition is not allowed, the second position can be filled in 9 ways, and finally the third position can be filled in 8 ways giving us the correct answer of

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