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Introduction to Solving Equations

Introduction to Solving Equations. Section 1.6. Properties of equality. For all real numbers a, b, c Reflexive a = a Symmetric if a = b, then b = a Transitive if a = b, and b = c, then a = c Addition If a = b, then a+c = b+c Subtraction If a = b, then a – c = b – c

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Introduction to Solving Equations

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  1. Introduction to Solving Equations Section 1.6

  2. Properties of equality • For all real numbers a, b, c • Reflexive a = a • Symmetric if a = b, then b = a • Transitive if a = b, and b = c, then a = c • Addition If a = b, then a+c = b+c • Subtraction If a = b, then a – c = b – c • Division If a = b then

  3. Substitution if a = b, then you may replace a with b in any true statement containing a and the resulting statement will be true.

  4. Literal equations contain two or more variables. • Ex. V = lwh, A= ½ bh • Solve for s

  5. Solve for

  6. Using graphing calculator to solve • Solve 3.24x – 4.09 = -0.72x + 3.65 by graphing • Each side can be written in y = format • Y = 3.24x – 4.09 • Y = -0.72x + 3.65 • The point of intersection is the solution

  7. Plug each of the equations into your calculator. • Press 2nd calc • Choose #4 intersect • Make sure the cursor is blinking on one line and press enter • Repeat for second line • Press enter for guess • Answer x =

  8. Solve 2.24x – 6.24 = 4.26x – 8.76 by graphing

  9. Solve 6.25x – 3.36 = -0.8x + 8.9 by graphing

  10. Day 2 • Write and solve an appropriate equation for each situation. • The measure of one complementary angle is 20 more than twice the measure of angle x. Find the measure of angle x.

  11. Carson charges $18.75 per hour to fix computers, plus a flat service fee of $30. Carson billed Mr. Belkis $255 for a job. How many hours did she spend fixing the computer?

  12. The purchase of a used car required a $1200 down payment and a monthly payment of $225. • How mach money would have been paid after the 16th month? • If the buyer paid a total of $6600, how many months did it take to pay off the car?

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