Introduction to Variables Quiz for 7th Grade Students

📚 Quick Study Guide

• 🔢 What is a Variable? A variable is a symbol (usually a letter) that represents an unknown number. Think of it as a placeholder!
• ➕ Expressions with Variables: An algebraic expression contains numbers, variables, and operations (like addition, subtraction, multiplication, and division). Example: $3 + x$
• ➖ Solving for Variables: To solve for a variable, you need to isolate it on one side of the equation. This means getting the variable alone! Example: If $x + 5 = 10$, then $x = 5$.
• ➗ Coefficients: The number multiplied by a variable is called a coefficient. In the expression $7y$, 7 is the coefficient.
• 💡 Tips: Always remember to perform the same operation on both sides of an equation to keep it balanced! And practice makes perfect!

Practice Quiz

1. What is a variable?
   1. A number that is always the same.
   2. A symbol that represents an unknown number.
   3. The answer to a problem.
   4. A type of equation.
2. Which of the following is an algebraic expression?
   1. 10
   2. $4 + 6 = 10$
   3. $2x + 5$
   4. $8 > 3$
3. What is the coefficient in the expression $9y - 3$?
   1. -3
   2. y
   3. 9
   4. 0
4. Solve for $x$: $x - 7 = 3$
   1. x = 10
   2. x = 4
   3. x = -4
   4. x = -10
5. Which operation do you use to isolate the variable in the equation $x + 4 = 9$?
   1. Addition
   2. Subtraction
   3. Multiplication
   4. Division
6. What does it mean to "isolate" a variable?
   1. To find the value of the variable.
   2. To keep the variable on both sides of the equation.
   3. To get the variable alone on one side of the equation.
   4. To ignore the variable.
7. Simplify the expression: $2a + 3a - a$
   1. $6a$
   2. $4a$
   3. $5a$
   4. $a$