1. To Start:  Simplify the following:  6(a + 10) =  -2(y – 2) =  (5 + w)5 = 6a + 60 -2y + 4 25 + 5w

2. Chapter 1: Foundations for Algebra Section 1.8: An Introduction to Equations

3. Equations  Equation – a mathematical sentence that uses an equal sign (=).  Open Sentence – an equation that contains one or more variables and may be true or false depending on the values of its variables.  Is the equation true, false, or open? Explain.  24 + 18 = 20 + 22  7 * 8 = 54  2x – 4 = 10 True False Open

4. Equations  A Solution of an equation containing a variable is a value of the variable that makes the equation true.  Is x = 5 a solution of the equation 32 = 2x + 12?  32=2(5) +12  32=10 + 12  NO!  Is m = 2 a solution of the equation 2m – 3 = 1?  2(2)-3=1  4-3=1  YES!!

5. Equations  Tell whether the given number is a solution of each question:  8x + 5 = 29;3  8(3)+5=29  24+5=29?  YES!  5b+1=16;-3  5(-3)+1=16  -15+1=16?  NO!  -6b+5=1;1/2  -6(1/2)+5=1  -3+5=1?  NO!

6. Writing an Equation  An art student wants to make a model of the Mayan Great Ball Court in Chichen Itza, Mexico. 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?  Length = 2.4(w)  54=2.4(w)  w=22.5!

7. Homework!!!!  1-8 Worksheet:  1-13, 18, 19, 22-25, 44