Equation

My Definition

Key Characteristics

The following are true of an equation:

- It is a mathematical statement saying two expressions are the same.
- An equal sign joins the two expressions.
- It may contain numbers, variables, grouping symbols, and/or operations.
- In some cases, an equation that contains a variable (unknown) can be solved to determine the value of the unknown.

Example

These are examples of equations:

To model solving one- and two-step equations, one may use an interactive balance.

To model solving one- and two-step equations, one may use an interactive balance.

3 + 2 = 5

12 - 4 = 5 + 3

- 16 = 3

2*x* + 4 = 12

3(*x* + 4) = 15

2*x* - 2 = 3*x* + 4

*x*^{2} - 4 = 5

12 - 4 = 5 + 3

- 16 = 3

2

3(

2

To use this interactive balance, one must have Java installed.

Non-example

These are examples of expressions, not equations:

5 + 2

12 ÷ 3 - 4(6 + 2)

- 8

5*x* + 6

2(*x* - 1)

12 ÷ 3 - 4(6 + 2)

(7 + 6)2

- 8

5

2(

These are examples of inequalities, not equations.

3 >

2

TEKS: 1(5)(E), 1(5)(F), 3(5)(A), 3(5)(B), 3(5)(D), 4(4)(C), 4(4)(E), 4(5)(A), 5(4)(B), 6(6)(B), 6(6)(C), 6(7)(B), 6(8)(C), 6(9)(A), 6(9)(B), 6(9)(C), 6(10)(A), 6(10)(B), 7(7)(A), 7(10)(A), 7(10)(B), 7(10)(C), 7(11)(A), 7(11)(B), 7(11)(C), 8(5)(A), 8(5)(B), 8(5)(F), 8(5)(I), 8(8)(A), 8(8)(B), 8(8)(C), 8(9)(A)