Algebra Tutor
Strategies for analysis of linear algebraic equations
It is often the case that the use of a variety of testing strategies can To test easier to take and, therefore, lead to higher score, regardless of the subject. This is particularly true for algebra and other tests Math. With a greater emphasis in schools on student test scores and accountability, knowledge and application of testing strategies is the key together with knowledge of the matter to trial, to be successful in an examination. This article gives some strategies for algebra tests on linear equations as to how, in many cases, at least one of the options in response to a question can be quickly removed using the basic concept and some knowledge common sense.
Issues relating to the writing and interpretation of linear equations and their graphs can be made easier by using the process Removal of response options in many cases. To explain this, I will use some examples.
Example: Which of the following graphics (Imagine each answer choice is the graph of a linear equation in a coordinate plane) represents the linear equation y =- 3x + 7? In this question, For example, even if students do not fully understand the concept of graphical representation of a linear equation, if he / she understands the slope-intercept form of a linear equation (y = mx + b), one or two answer choices could be eliminated now. This is because, with my example problem, the slope of this line is -3. Since the slope of the line is negative, any response option with a line, moving from left to right (like reading a book), is increasing (Positive slope), horizontal (zero slope) or vertical (yet undefined) could be crossed out. Another way students could remember this is to relate with prior knowledge of something they have been repeatedly exposed his notes …. When a student misses the mark on a mission, points are removed or subtracted out. This reduces your degree because it goes down. Similarly, the graph of a linear equation with a negative slope decreases or falls. If all else fails, a student may choose the points outside each graph and replace the linear equation given (in this case and =- 3x + 7) and work backwards to find the correct answer.
Example: Which of the following linear equations (imagine each answer choice is a linear equation in slope-intercept form) represents the linear equation represented in the coordinate plane (imagine y = 2x – 7 is plotted on a coordinate plane above the answer choices)? This is a situation similar to the previous example. If a student is familiar with y = mx + b and b is the intercept (A graphical representation of a linear equation, b egin students in b), the student can often eliminate one or more options, even if he / she has not mastered the meaning of slope and elevation over implementation. In many examinations, the x and y axes are also known. Against this background, any equation that does not have an intercept of -7 can be eliminated. Not only that, but that any equation with a negative slope, zero or indefinite can be eliminated. Sometimes this information is sufficient to eliminate all response correct.
Example: Which of the following graphics (imagine each answer choice is the graph of a linear equation in a coordinate plane) represents the linear equation y = 4x – 1 if the intersection and is changed to 3? With the background knowledge of the general form of a linear equation in slope-intercept form (y = mx + b), any response option with a slope other than 4 can be removed. Uploaded by run or the slope formula can be used to check this. The test can be written to "trick" a student here because an election or two could have a linear equation with a slope of three or slope -1 to check the real understanding student here. In addition, any graph with a negative slope, zero or indefinite could be eliminated. A student must also ensure that he / she does not accidentally fall into a response option that has a y-intercept of -3. Attention to detail is key in a review of algebra of as the grammar is in a research paper or thesis.
Example: The graph of y =- 5x - 2 below (imagine and =- 5x – 2 is plotted on a coordinate plane right below that statement). Which of the following (imagine each answer choice is the graph a linear equation in a coordinate plane) represents the linear equation if the slope is changed to 3? A question like this can use more strategies elimination of the previous example because the graph is given in relation to the equation. First, any response option with a negative slope, zero or undefined can be crossed as the matter was pending states is 3 (a positive number). In addition, no change in the intersection and is mentioned, so any response option with a y-intercept than -2 can be eliminated. These strategies alone could very well be enough to knock out all but the correct answer choice.
About the Author
My name is Nathan Haude, and I offer one-on-one tutoring for Algebra I. I am a certified mathematics teacher for grades 4-12 through the Texas State Board for Educator Certification (SBEC). I am currently in my fourth year of teaching Algebra I and have worked with students ranging from mainstream to special needs to ESL. I offer tutoring services online and in-person one-on-one in the Spring, TX area. My website has more details: Haude Tutoring.
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