Quiz on Solving Linear Equations with Answer Key

📚 Quick Study Guide

• 🔢 A linear equation is an equation where the highest power of the variable is 1.
• ➕ To solve a linear equation, isolate the variable on one side of the equation using algebraic operations.
• ⚖️ Remember to perform the same operation on both sides of the equation to maintain balance.
• ➖ Common operations include addition, subtraction, multiplication, and division.
• 💡 Check your solution by substituting it back into the original equation.
• ➗ The standard form of a linear equation is $ax + b = c$, where $a$, $b$, and $c$ are constants and $x$ is the variable.
• 🌱 When solving, simplify each side of the equation first by combining like terms.

🧪 Practice Quiz

1. What is the solution to the equation $2x + 3 = 7$?
   1. A. $x = 1$
   2. B. $x = 2$
   3. C. $x = 3$
   4. D. $x = 4$
2. Solve for $y$: $4y - 5 = 15$
   1. A. $y = 3$
   2. B. $y = 4$
   3. C. $y = 5$
   4. D. $y = 6$
3. Find the value of $z$ in the equation $3z + 7 = 22$
   1. A. $z = 3$
   2. B. $z = 4$
   3. C. $z = 5$
   4. D. $z = 6$
4. What is the solution to the equation $5x - 8 = 12$?
   1. A. $x = 2$
   2. B. $x = 3$
   3. C. $x = 4$
   4. D. $x = 5$
5. Solve for $a$: $6a + 2 = 20$
   1. A. $a = 1$
   2. B. $a = 2$
   3. C. $a = 3$
   4. D. $a = 4$
6. Find the value of $b$ in the equation $7b - 4 = 17$
   1. A. $b = 1$
   2. B. $b = 2$
   3. C. $b = 3$
   4. D. $b = 4$
7. What is the solution to the equation $8x + 1 = 33$?
   1. A. $x = 3$
   2. B. $x = 4$
   3. C. $x = 5$
   4. D. $x = 6$