**Section 1: Chapter 5.1 Simple Linear Equations in One Variable**

**1. Starting chapter 5. Solve simple linear equations in one variable:**

- Concepts: equation, variable, solution/root, linear equation (ax+b=c, where a,b,c are constant and a != 0), LHS, RHS, balancing.
- Methods: subtract, add, divide or multiply to both sides by the same number.

**2. Introduce concepts and methods of “isolate”, “move items to other side and change of sign”, “plug the answer/solution back in the equation”.**

**Key word: isolate, isolate, isolate.** The key to solving many equations is to get the variables alone on one side of the equation. To solve a linear equation with one variable, we isolate the variable by following a few simple steps:

- simplify both sides of the equation by combining like terms on each side;
- move all the terms with the variable to one side and all the constants to the other using addition and subtraction, or just moving them to other side with change of signs;
- after simplify the equation that results from the previous step, multiply by the reciprocal of the variable’s coefficient to solve for the variable.
- you can always check your answer by plug the solution back to the variable in the equation, both sides should be equal. if not, go check your calculation.

**3. Home Work**

- handout:
- Workbook:
- page 27: 1, 2, 3
- page 28: 6

**Section 2: Chapter 5.2. Equations involving Parentheses**

**1. We apply the distributive law of multiplication over addition to help us solve equations involving parentheses.**

Recall a(x + b) = ax + ab

Solve equation 9(x + 1) = 2(3x + 8)

**2. When working with equations, always apply the same action to both sides of the equation.**

Solve equation 5(2x – 9)/3 -8 = 2x

Solve equation (3x + 2)/5 = (4x – 7)/6

**3. Rewriting equations**

Giving the formula A = ½ * (a + b)h, find the value of a when b = 13, h = 9, and A = 90.

**4. Homework:**

- Handout
- Workbook:
- Page 27: 4
- Page 28: 5
- Page 29: 11, 12, 13, 14