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

2. A branch of mathematics that involves expressions with variables.
Algebra
A branch of mathematics that involves expressions with variables.

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

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

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

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

7. Equation A mathematical sentence that contains an equal sign.
They can be either true or false
Example
= 21
= 25

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

9. Evaluate the expression
to solve the problem

10. Evaluate the expression
N + 3 if N = 4 7

11. Evaluate each expression if c = 810
C – 3 5
15 – C 7
C + 10 18

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

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

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

15. Evaluate each expression6
If n = 12

16. Evaluate each expressionmn 6
if m = 8 and n = 12 2
y if y = 3

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

18. Evaluate each expression if d = 8, e = 3, f = 4 and g = 12 6f 2f g
7e + 5
(5 + g) 2 2 2 2