# Tutor profile: Ashlyn S.

## Questions

### Subject: Pre-Algebra

A card is drawn at random from a standard deck. What is the probability that it is a club or a red-faced card?

In order to answer this question, you need a basic understanding of a deck of cards. There are 52 total cards in a deck. This deck consists of 26 red cards and 26 black cards. This deck consists of four different suits (hearts, spades, clubs, and diamonds). Clubs and Spades are black while hears and diamonds are read. Each of these four different suits contains 13 cards. These 13 cards comprise of an ace, cards numbered 2-10, a jack, a queen, and a king. The jack, queen, and king are known as face cards. This background information will enable us to be able to answer the question above. To find the probability you take the number of events divided by the number of outcomes. In this particular question my events consist of drawing a card that is a club or a red-faced card. I know that there are 13 clubs in a standard deck. I also know that there are two suits that are red cards. In these two suits, I have a total of 6 face cards. This means that I have a total of 6 red-faced cards and 13 clubs that I could draw. Therefore, my total events are 19. The final probability is 19/52 because I could draw 19 different cards out of a total of 52 cards.

### Subject: Education

While planning units for science instruction, a teacher includes weekly quizzes, a project, and end of chapter tests. What is the primary purpose for including such activities while planning instruction?

The primary purpose of assessments implemented in the classroom should be to monitor the students progress. If you never assess them, you will never truly know if they are grasping the concepts you are teaching. Assessments give you as the teacher helpful data that way you will know how to differentiate your lessons to best meet the needs of your students.

### Subject: Algebra

How would you change a linear equation written in standard form into a linear equation written in slope-intercept form?

Standard form is written as ax + by = c. Slope-intercept form is written as y = mx + b. Therefore, in order to accurately change from one form to the other, you must use equation solving skills. Your first step will be to get the term "by" by itself. In order to do this, you must subtract the term "ax" from both sides of the equation. This will result in an equation that reads by= -ax + c. In order to make the final step from standard to slope-intercept form, you must divide each term in this equation by "b." This will result in an equation that reads y = -(a/b)x + (c/b). You have now successfully changed standard form into slope-intercept form. Putting an equation in this form opens up the doors for you to graph these linear equations. This is an essential skill in Algebra.

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