1.8 INTRODUCTION TO EQUATIONS I can solve equations using tables and mental math.

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Presentation transcript:

1.8 INTRODUCTION TO EQUATIONS I can solve equations using tables and mental math.

EQUATION A mathematical sentence that uses an equal sign A mathematical sentence that uses an equal sign Used to show the relationship between two quantities that have the same value Used to show the relationship between two quantities that have the same value True if the expressions on either side are equal True if the expressions on either side are equal

OPEN SENTENCE An equation is an open sentence if it contains one or more variables An equation is an open sentence if it contains one or more variables May be true or false depending on the value of the variables May be true or false depending on the value of the variables

PRACTICE Is the sentence true, false, or open? Is the sentence true, false, or open? 78 = = – 4 = -2(-4) 12 – 4 = -2(-4) 2x – 14 = 36 2x – 14 = 36

SOLUTION OF AN EQUATION The value of a variable in an equation which makes the equation true The value of a variable in an equation which makes the equation true Is x = 6 a solution to the equation 32 = 2x+12? Is x = 6 a solution to the equation 32 = 2x+12?

WRITING AN EQUATION An art student wants to make a model of the Mayan Great Ball Court. The length of the court is 2.4 times its width. The length of the student’s model is 54 in. What should the width of the model be? Find key information Find key information What are we solving for? What are we solving for? Create an equation with the given information. Create an equation with the given information. 2.4w = w = 54

USING MENTAL MATH

USING TABLES 5n + 8 = 48 5n + 8 = 48 Make a table of values. Make a table of values. Choose a starting value using mental math. Since 5(1) + 8 = 13, 1 is too low. Choose a starting value using mental math. Since 5(1) + 8 = 13, 1 is too low. Try 5. Try 5. n = 8 n = 8 n5n+8Value of 5n+8 55(5) (6) (7) (8)+848

ASSIGNMENT ODDS ONLY ODDS ONLY Pg.56 #7-11, 17-23, 27-33, 39, 41 Pg.56 #7-11, 17-23, 27-33, 39, 41