Math  /  Algebra

QuestionExplain the differences between equations and expressions.
Choose the correct answer below. A. Expressions can contain fractions and equations cannot. B. Expressions can contain more than one variable and equations cannot. C. Equations contain an ineqaulity symbol and expressions do not. D. Equations contain an equals sign and expressions do not.

Studdy Solution

STEP 1

1. We need to understand the definitions of equations and expressions.
2. We need to identify the key differences between equations and expressions.
3. We need to choose the correct answer from the given options.

STEP 2

1. Define what an expression is.
2. Define what an equation is.
3. Compare the definitions to identify the differences.
4. Choose the correct answer based on the identified differences.

STEP 3

An expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that represents a value. Expressions do not include an equality or inequality symbol.

STEP 4

An equation is a mathematical statement that asserts the equality of two expressions. It contains an equals sign (= = ) to show that the expressions on either side are equal.

STEP 5

The primary difference between an equation and an expression is that an equation contains an equals sign, indicating a relationship between two expressions, while an expression does not.

STEP 6

Based on the definitions and differences identified, the correct answer is:
D. Equations contain an equals sign and expressions do not.
The correct answer is:
D \boxed{D}

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