1.  Solve each equation; show each step. 8y = 96-28 = d – (-15) The population of Austin is 900,000. This is about 6 times the population of Houston. What is the population of Houston? 88 y = 12 Check: 8 * 12 = 96 -28 = d + 15 -15 -15 -43 = d Check: -43 – (-15) =-28 900,000 = 6 x x=150,000

2. Two Step Equations

3.  Addition Property of Equality:  Subtraction Property of Equality:  Multiplication Property of Equality:  Division Property of Equality:  Distributive Property: For any numbers A, B, and C, if A=B, then A+C=B+C For any numbers A, B, and C, if A=B, then A-C=B-C For any numbers A, B, and C, if A=B, then AC=BC For any numbers A, B, and C, if A=B, then A÷C=B÷C For any numbers A, B, and C, A(B+C) = AB + AC

4. 15 = -4x - 5 +5 20 = -4x -4 -5 = x Check: -4(-5) – 5= 15

5.  We are “un-doing” the equation ◦ Opposite of order of operations! ◦ Just like taking off your shoes!  Just remember: we need to balance the equation! ◦ http://nlvm.usu.edu/en/nav/frames_asid_324_g_3_ t_2.html http://nlvm.usu.edu/en/nav/frames_asid_324_g_3_ t_2.html

6.  5k – 10 = 25 +10 +10 5k = 35 5 5 k = 7 Check: 5(7) – 10 = 25

7. -60 = 4 (x – 5) -60 = 4x - 20 +20 = + 20 -40 = 4x 4 4 -10 = x Check: 4(-10 – 5) = -60

8.  Extra Practice 4.3  the Odd problems!