Solve each equation; show each step. 8y = = 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 = = d = d Check: -43 – (-15) = ,000 = 6 x x=150,000
Two Step Equations
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
15 = -4x = -4x = x Check: -4(-5) – 5= 15
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! ◦ t_2.html t_2.html
5k – 10 = k = k = 7 Check: 5(7) – 10 = 25
-60 = 4 (x – 5) -60 = 4x = = 4x = x Check: 4(-10 – 5) = -60
Extra Practice 4.3 the Odd problems!