Let's go through the questions from the image.

Part 1: True/False Statements

1. Determine whether each of the following is true and circle your answer:

   (a) $2x + 3 = 5$ is an equation.
   Answer: True. This is a linear equation in one variable $x$.

   (b) $3y + 2$ is an equation.
   Answer: False. This is not an equation because it lacks an equals sign. It’s an expression.

   (c) If $c = 8$, then $3c = 38$.
   Answer: False. If $c = 8$, then $3c = 3(8) = 24$, not 38.

   (d) If $a = \frac{4}{3}$, then $4 + a = 4a$.
   Answer: False. Substituting $a = \frac{4}{3}$, we get $4 + \frac{4}{3} \neq 4 \times \frac{4}{3}$.

   (e) $x = 7$ is the solution of the equation $x + 2 = 5$.
   Answer: False. The solution to $x + 2 = 5$ is $x = 3$, not $x = 7$.

   (f) The equations $13 - d = 7$ and $\frac{d}{2} + 3 = 6$ have the same solution.
   Answer: True. Both equations have the solution $d = 6$.

Part 2: Matching Equations to Solutions

2. Match the equations on the left with their solutions on the right:

   (a) $9 - d = 2$
   To solve:
   $d = 9 - 2 = 7$
   Answer: (iv) 7

   (b) $7x = 21$
   To solve:
   $x = \frac{21}{7} = 3$
   Answer: (v) 3

   (c) $c - 3 = 5$
   To solve:
   $c = 5 + 3 = 8$
   Answer: (i) 8

   (d) $x + 4 = 8$
   To solve:
   $x = 8 - 4 = 4$
   Answer: (vi) 4

   (e) $\frac{y}{2} = 3$
   To solve:
   $y = 3 \times 2 = 6$
   Answer: (iii) 6

   (f) $12 = 7a - 2$
   To solve:
   $7a = 12 + 2 = 14$
   $a = \frac{14}{7} = 2$
   Answer: (ii) 2

Let me know if you'd like more details on any part of this, or if you have questions!

Here are five related questions for practice:

1. What is the solution to the equation $2x + 7 = 15$?
2. How do you solve $\frac{x}{4} + 2 = 6$?
3. What are the key differences between an expression and an equation?
4. Solve for $y$ in $y + 5 = 10$.
5. How would you check if two equations have the same solution?

Tip: Always isolate the variable when solving linear equations by performing inverse operations like addition, subtraction, multiplication, or division.