Solving Linear Equations Manchester University-Books Download

Solving Linear Equations Manchester University
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Jessica Fauser,November 24 2009,Complete Lesson Plan 1. from the Board Race activity, 3 Now define a linear equation Is an equation that is in the form. ax b c where a b and c are any value The value of the unknown. variable x is what we are looking for when solving linear equations. 4 How do you solve linear equations Bloom Level III Application. A Simplify the equation by using the distribution property and. combining like terms, B Use addition and subtraction properties to get the variable term. to one side by itself Remember that what you do to one side you. must do the same to the other, C Now use multiplication and division properties to isolate the. variable get x by itself, D Plug the value you received for the variable x back into the.
original equation to check your answer, 5 Now give some examples of solving linear equations using these steps. A Simplify the equation,This equation is already simplified. B Get the variable term on one side by itself,1 1 Subtract 1 from both sides. C Isolate the variable,3x 3 3 3 Divide each side by 3. D Check your answer Plug the value of x back into the original. 2 x 1 x 10,A Simplify the equation,2 x 1 x 10,2x 2 x 10 Distribute the 3.
3x 2 10 Combine like terms,B Get the variable term on one side by itself. 2 2 Add 2 to both sides,C Isolate the variable,Jessica Fauser. November 24 2009,Complete Lesson Plan 1,3x 3 12 3 Divide each side by 3. D Check your answer,2 4 1 4 10,10 x 2 2 6 2x,A Simplify the equation. 10 x 2 2 6 2x,10x 20 2 6 2x Distribute the 10,10x 18 6 2x Combine like terms.
B Get the variable term on one side by itself,10x 18 6 2x. 2x 2x Subtract 2x from both sides,18 18 Add 18 to both sides. C Isolate the variable,8x 8 24 8 Divide each side by 8. D Check your answer,10 3 2 2 6 2 3,10 1 2 6 2 3, Have the students pair back up this time at their desks Ask them to. create and solve their own linear equation Be sure to walk around and answer. any questions they might have Once they are done pass out the worksheet on. linear equations for homework Have them complete it and turn in at the. beginning of class the next day Bloom Level V Synthesis Gardner Logical. Mathematical and Interpersonal Intelligences,Adaptations Enrichments.
Learning disabilities in reading comprehension No reading from the book is. required for this lessons Instructions on how to solve linear equations are. written on the board however oral instructions are also given. ADHD The board races at the beginning of the lesson allows this student to. Jessica Fauser,November 24 2009,Complete Lesson Plan 1. move around During the lesson this student if needed can come up to. the board to help solve the example problems, Gifts Talents in Creativity Encourage this student to lead their pair when it is. time to create their own equation Have the student think of a way to. remember the steps in solving linear equations,Self Reflection. Were the board races an effective attention getter How time consuming were the. board races How many students understood this lesson Are the students able to solve. linear equations Were the students able to create their own equations Did the students. cooperate with each other How does this tie into the next lesson Did I engage the. whole class What would I do differently next time to improve the lesson. Jessica Fauser,November 24 2009,Complete Lesson Plan 1. Name Solving Linear Equations,Point values for each question are in parentheses.
1 4 List the steps for solving linear equations, Solve the following linear equations Show all steps and be sure to check your work. 2 2 2x 4 10,3 2 4 x 2 3x 20,4 2 5 x 1 1 3 2x,5 2 12 3x 1 24. 6 3 2 3x 7 4 3 x 2 6 5 x 9 3, Solve the following story problems by using linear equations. 7 2 Together Sally and Sam bought a total of 15 apples If Sally bought 6 apples how. many did Sam buy Use x as your variable to set up the equation then solve. 8 3 Billy is 12 years old He is 4 times as old as his little brother How old is Billy s. little brother Use x as your variable to set up the equation then solve. Jessica Fauser,November 24 2009,Complete Lesson Plan 1. Solving Linear Equations,Point values for each question are in parentheses.
1 4 List the steps for solving linear equations,1 Simplify the equation. 2 Get the variable term on one side by itself,3 Isolate the variable. 4 Check your answer, Solve the following linear equations Show all steps and be sure to check your work. 2 2 2x 4 10,2x 6 2 3 4 10,2x 2 6 2 6 4 10,x 3 10 10 D. 3 2 4 x 2 3x 20,4x 8 3x 20 Check,7x 8 20 4 4 2 3 4 20.
8 8 4 2 3 4 20,7x 28 8 12 20,x 4 20 20 D,4 2 5 x 1 1 3 2x. 5x 5 1 3 2x Check,5x 4 3 2x 5 7 3 1 1 3 2 7 3,4 4 5 4 3 1 3 2 7 3. 5x 7 2x 20 3 1 3 14 3,2x 2x 23 3 23 3 D,5 2 12 3x 1 24. 36x 12 24 Check,12 12 12 3 1 3 1 24,36x 12 12 1 1 24. 36x 36 12 36 12 2 24,x 12 36 24 24 D,Jessica Fauser.
November 24 2009,Complete Lesson Plan 1,6 3 2 3x 7 4 3 x 2 6 5 x 5 Check. 6x 14 12x 8 30x 30 2 3 3 7 4 3 3 2 6 5 3 5,18x 6 30x 30 2 9 7 4 9 2 6 15 5. 6 6 2 16 4 7 6 10,18x 30x 36 32 28 60,30x 30x 60 60 D. 12x 12 36 12, Solve the following story problems by using linear equations. 7 2 Together Sally and Sam bought a total of 15 apples If Sally bought 6 apples how. many did Sam buy Use x as your variable to set up the equation then solve. 6 x 15 Check,6 6 6 9 15 Sam bought 9 apples,x 9 15 15 D.
8 3 Billy is 12 years old He is 4 times as old as his little brother How old is Billy s. little brother Use x as your variable to set up the equation then solve. 4x 12 Check,4x 4 12 4 4 3 12 Billy s brother is 3 years old. x 3 12 12 D,Jessica Fauser,November 24 2009,Complete Lesson Plan 1. Jessica Fauser,November 24 2009,Complete Lesson Plan 1.


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