Final answer:
An equation is a mathematical statement that asserts two expressions are equal and contains an equal sign, whereas an expression can have variables and numbers but lacks an equal sign. Both can involve any arithmetic operations.
options b) and c) are correct
Step-by-step explanation:
When discussing the relationship between an expression and an equation, it's important to understand their definitions and how they relate to one another within the realm of mathematics.
- b) An equation contains an equal sign; an expression does not. This statement is correct. An equation is like a sentence that expresses a truth, showing a relationship where two expressions are equal, while an expression is more like a phrase that can include numbers, variables, and operations but does not have an equality sign.
- c) Both expressions and equations contain numbers and/or variables. This is also correct. Expressions and equations can have variables and numbers, though equations assert that two expressions are equal.
- d) An expression has addition and subtraction; an equation never does. This statement is incorrect, as equations can also include addition and subtraction, as well as other operations.
- e) An expression involves multiplication, but equations only use addition. This is incorrect because equations can involve any arithmetic operations, not just addition.
In conclusion, options b) and c) are correct descriptions of the relationship between an expression and an equation.