Chapter 1 Lesson 4 Algebra Variables and Expressions

Chapter 1 Lesson 4 Algebra: Variables and Expressions Objective: Evaluate simple algebraic expressions.

Algebra A branch of mathematics that involves expressions with variables.

Algebraic Expression A sentence that contains variables, numbers, and at least one operation. Example: n + 2

Variable A place holder Usually a letter or a symbol to represent a number X+6=7

Coefficient The number that is next to the variable. 8 x + y +3

Constant The number The term that does not contain a variable. 8 x + y +3

Equation A mathematical sentence that contains an equal sign. They can be either true or false Example 34 - 14 = 21 23 + 2 = 25

Solution A number that makes a sentence true. Which of the following numbers is a solution to y + 8 = 12. 3, 4, or 5.

Evaluate the expression to solve the problem

Evaluate the expression N + 3 if N = 4 7

Evaluate each expression if c = 8 C+2 10 C– 3 5 15 – C 7 C + 10 18

The following symbols are used for multiplication with variables. Multiplication 6 d means 6 d 9 st means 9 s t

The following symbols are used for division with variables. C D Means C ÷ D 7 K Means 7 ÷ K M 56 Means M ÷ 56

Evaluate each expression 8 w - 2 w if w = 5 and v = 3

Evaluate each expression n 6 If n = 12

Evaluate each expression mn 6 2 if m = 8 and n = 12 y + 2 if y = 3

Evaluate each expression if d = 8, e = 3, f = 4 and g = 1 1. 2. 3. 4. 5. 6. d+9 10 – e 4 f 8 + 5 d 7 e + 2 d 2

Evaluate each expression if d = 8, e = 3, f = 4 and g = 1 2 1. 6 f 2. 2 f g 2 3. 4. 2 7 e + 5 (5 + g) 2 2