algebraic expressions examples grade 7

📚 Quick Study Guide

• 🔢 Variable: A symbol (usually a letter like $x$, $y$, or $z$) representing an unknown number.
• ➕ Constant: A fixed number that doesn't change its value. For example, $5$ is a constant.
• ➗ Coefficient: The number multiplied by a variable. In the expression $3x$, $3$ is the coefficient.
• 💡 Term: A single number or variable, or numbers and variables multiplied together. Examples: $7$, $x$, $4y$, $9ab$.
• 📝 Algebraic Expression: A combination of variables, constants, and arithmetic operations (addition, subtraction, multiplication, division). For example: $2x + 3y - 5$.
• 🤝 Combining Like Terms: Terms that have the same variable raised to the same power can be combined. For example, $3x + 5x = 8x$.
• ⚖️ Simplifying Expressions: Involves combining like terms and using the order of operations (PEMDAS/BODMAS) to write the expression in its simplest form.

Practice Quiz

1. Which of the following is an algebraic expression?
1. A. 5
2. B. $3 + 7 = 10$
3. C. $2x + 5$
4. D. 9
2. What is the coefficient of $y$ in the expression $7y - 3$?
1. A. -3
2. B. 7
3. C. 1
4. D. 0
3. Simplify the expression: $4x + 2x - x$
1. A. $5x$
2. B. $6x$
3. C. $7x$
4. D. $4x$
4. Which term is a constant in the expression $5a + 8 - 2b$?
1. A. $5a$
2. B. $8$
3. C. $-2b$
4. D. $a$
5. Combine the like terms: $9y + 3 - 2y + 1$
1. A. $7y + 4$
2. B. $11y + 4$
3. C. $7y + 2$
4. D. $11y + 2$
6. What is the value of the expression $3x + 5$ when $x = 2$?
1. A. 8
2. B. 10
3. C. 11
4. D. 1
7. Identify the number of terms in the expression: $4p - 7q + 2r - 9$
1. A. 2
2. B. 3
3. C. 4
4. D. 1