Examples of Two-Step Linear Equations with Solutions

📚 Quick Study Guide

• 🔢 A two-step linear equation is an equation that requires two operations to isolate the variable.
• ➕ The goal is to isolate the variable on one side of the equation.
• ➖ First, undo addition or subtraction.
• ➗ Second, undo multiplication or division.
• 💡 Always perform the same operation on both sides of the equation to maintain balance.
• ✅ Check your answer by substituting it back into the original equation.
• ✍️ The general form is $ax + b = c$, where $a$, $b$, and $c$ are constants and $x$ is the variable.

Practice Quiz

1. What is the solution to the equation $2x + 3 = 7$?
   1. $x = 1$
   2. $x = 2$
   3. $x = 3$
   4. $x = 4$
2. Solve for $y$ in the equation $3y - 5 = 10$.
   1. $y = 1$
   2. $y = 3$
   3. $y = 5$
   4. $y = 7$
3. Find the value of $z$ in the equation $\frac{z}{4} + 2 = 6$.
   1. $z = 4$
   2. $z = 8$
   3. $z = 12$
   4. $z = 16$
4. What is the solution to $5a - 8 = 2$?
   1. $a = 0$
   2. $a = 1$
   3. $a = 2$
   4. $a = 3$
5. Solve: $6b + 4 = -2$.
   1. $b = -1$
   2. $b = 0$
   3. $b = 1$
   4. $b = 2$
6. What value of $c$ satisfies the equation $\frac{c}{2} - 1 = 3$?
   1. $c = 4$
   2. $c = 6$
   3. $c = 8$
   4. $c = 10$
7. Solve the equation: $4d + 7 = 15$.
   1. $d = 0.5$
   2. $d = 1$
   3. $d = 1.5$
   4. $d = 2$