1. Equations and Inequalities

2. Equation – A sentence stating that two qualities are equal. Includes a variable – 3x + 5 = 17 Equation variable The solution is the value that makes the equation true. When graphed the point falls on the line. equivalent equations have the same value. unknown value

3. FIRST – replace the variables with the known (given) value. THEN – follow the Order of Operations. EX1) Determine if -1, 0, 1 are solutions to the equations 3X + 2 = 5 3(-1) + 2 = 5 -3 + 2 = 5 ? no 3(0) + 2 = 5 0 + 2 2= 5 ? no 3(1) + 2 = 5 3 + 2 5= 5 ? yes + 0.5 = 1.2 0.6 + 0.5 1.1= 1.2 ? no + 0.5 = 1.2 0.7 + 0.5 1.2= 1.2 ? yes + 0.5 = 1.2 1.3 + 0.5 1.8= 1.2 ? no EX2) Determine if 1.2, 1.4, 2.6 are solutions to the equations + 0.5 = 1.2 x 2 1.2 2 1.4 2 2.6 2

4. Inequalities – a mathematical sentence that compares quantities ˂ ˃ Comparison Symbols ˃ ˂ Less Than Greater Than Less Than or equal to Greater Than or equal to 3x + 5 17 ˂

5. Determine if -3, 5, 8 are solutions to the equations 2 - 3x > -13 2 + 9 11 > -13 ? yes 2 - 15 -13 > -13 ? no 2 - 24 -22 > -13 ? no > -13 ? ? ? 2 - 3(5) > -13 ? 2 - 3(8) > -13 ? 2 - 3(-3) > -13 ? EX3)

6. Determine if - 24, 12, 28 are solutions to the inequality no EX4) x 4 6 - < 3 ? -24 4 6 - < 3 ? 14 < 3 ? 6 + 8 < 3 ? 6 - 3 yes 12 4 6 - < 3 ? 3 ? ? 6 - 7 yes 28 4 6 - < 3 ? < 3 ? ?

7. Assignment Page 507 1-11 all