Algebra 1 : Algebra 1
Study concepts, example questions & explanations for Algebra 1
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Example Questions
Example Question #25 : Statistics And Probability
We want to create a three-digit code for a combination lock. Only digits from 0-9 are allowed and digits cannot be repeated. Also a code can not start with 0. How many such codes can be generated?
The first position can be filled in 9 ways since 0 is not allowed. In the second position 0 is allowed, less the digit placed in the first position, which gives us 9. Hence the second position can be filled in 9 ways and as before the third position can be filled in only 8 ways which gives us the correct answer of
Example Question #1451 : Algebra 1
Evaluate:
Hence,
Example Question #1452 : Algebra 1
Five contestants are competing for the following executive positions, namely,
President, Vice President, and Secretary.
How many ways the executive positions can be filled ?
This is a permutation problem and here the order is important. The correct way to answer this question is to calculate
which equals to
which is 60.
Example Question #1453 : Algebra 1
If you toss 3 fair coins what is the sample space? (Tossing a coin results in either a Head "H" or a Tail "T")
When you toss a coin, there are two outcomes. Hence when you toss 3 coins the total number of outcomes will be 8 and the sample space is given by:
Example Question #1454 : Algebra 1
If we toss two dice, what is the probability of rolling doubles?
A double consists of the following set 
Example Question #31 : Statistics And Probability
Eric's algebra class has 5 exams this semester. Eric scored 84, 90, 88, and 95 on his first four exams. What is the minimum score he must earn on the fifth exam to get an average score of 90 or above?
To get an average score of 90, the sum of Eric's test scores must equal 450 
Example Question #31 : Statistics And Probability
We have the following set of numbers: 13, 19, 14, 16, 11, 7, 4, 13, 18, 2, 13, 9, 9, 13.
Find the mean.
Finding the mean is just finding the average. To find the average and thus, the mean, add all of the numbers to get the total and then divide that total by a number that represents how many numbers make up the set. In this problem, the total is calculated as
Since there are 14 numbers making up the set, we divide 161 by 14 to get 11.5.
Example Question #32 : Statistics And Probability
Calculate the mean of the following set of numbers:
To determine the mean of a set of numbers, first add up all of the numbers in that set. Then divide the sum (40) by the amount of numbers in the original set (8).
Example Question #33 : Statistics And Probability
Find the average of the set 
2.5
3.5
2
1.2
2.5
To find the average of the set, we add up all of the elements of the set and then divide by the number of elements in the set. In our case, the number of elements is 8.
Example Question #12 : Mean
This semester, Reese must take 4 exams for his algebra class. On his first 3 exams, he scored a 73, 79, and 83. What is the minimum score he must earn on his fourth exam to get an average of 80 or higher?
To calculate the average score, you must take the sum of Reese's scores and divide it by the number of tests he took (4). To get an average of 80, the sum of Reese's scores must be 320.
The sum of his first three test scores is 235.
Thus, Reese must earn a score of 85 on his fourth test
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