In grade 7 math, expressions and equations are fundamental. Expressions are mathematical phrases that combine numbers, variables (like 'x' or 'y'), and operations (+, -, ×, ÷) without an equals sign. Equations, on the other hand, state that two expressions are equal, using an equals sign (=). Solving equations involves finding the value(s) of the variable(s) that make the equation true. Understanding how to simplify expressions and solve equations is crucial for more advanced math topics.
Match the term with its definition:
| Term | Definition |
|---|---|
| 1. Variable | A. A mathematical statement that two expressions are equal. |
| 2. Constant | B. A symbol (usually a letter) representing an unknown value. |
| 3. Expression | C. A term that has a fixed value. |
| 4. Equation | D. A mathematical phrase containing numbers, variables, and operations. |
| 5. Coefficient | E. A number multiplied by a variable. |
Complete the following paragraph using the words: equation, variable, expression, solution, and simplify.
An __________ is a mathematical statement showing equality between two expressions. To solve for a __________ in an equation, you may need to __________ the expression first. The value of the variable that makes the equation true is called the __________. Understanding these concepts is key to success!
Explain in your own words how you would solve the following equation: $3x + 5 = 14$. What steps would you take, and why?
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