Identifying Parts of Expressions WS - Name: - Studocu - Free Printable

Let's solve the problem step by step based on the instructions in the worksheet.

---

Understanding the Task

We are asked to identify and circle each individual term in the given algebraic expressions.
A term is created by:
1. A (+) or (−) sign (each new term starts with a + or −),
2. A number,
3. Possibly one or more variables.

We read the expression from left to right, and start a new term every time we see a + or − sign.

> Note: The first term does not have a visible + or − sign at the beginning, but it is understood to be positive unless it starts with a minus.

---

Problem 1: $ 4g + 6g - 7 + 8 $

Let’s break this down:

- Start with the first term: $ 4g $ → no sign shown, so it's positive.
- Next: $ +6g $ → new term starting with +.
- Then: $ -7 $ → new term starting with −.
- Then: $ +8 $ → new term starting with +.

✔ So the terms are:
- $ 4g $
- $ 6g $
- $ -7 $
- $ 8 $

👉 Circle each of these as separate terms.

---

Problem 2: $ 6a + a - 1 - 10a + 8 $

Break it down:

- $ 6a $ → first term
- $ +a $ → second term (note: $ a $ is the same as $ +1a $)
- $ -1 $ → third term
- $ -10a $ → fourth term
- $ +8 $ → fifth term

✔ So the terms are:
- $ 6a $
- $ a $
- $ -1 $
- $ -10a $
- $ 8 $

👉 Circle each of these.

---

Problem 3: $ -5z - 6 + 7z - 8 $

Break it down:

- $ -5z $ → first term (starts with −)
- $ -6 $ → second term (next − sign)
- $ +7z $ → third term (next + sign)
- $ -8 $ → fourth term (next − sign)

✔ So the terms are:
- $ -5z $
- $ -6 $
- $ 7z $
- $ -8 $

👉 Circle each of these.

---

✔ Final Answer (with terms circled):

1) $ \boxed{4g} + \boxed{6g} - \boxed{7} + \boxed{8} $

2) $ \boxed{6a} + \boxed{a} - \boxed{1} - \boxed{10a} + \boxed{8} $

3) $ \boxed{-5z} - \boxed{6} + \boxed{7z} - \boxed{8} $

---

🔍 Explanation Summary:

- Each term is separated by a + or − sign.
- The first term may not have a sign written (implied +).
- Variables and coefficients together make up a term.
- Even single numbers like $ 8 $ or $ -6 $ are terms.
- You do not split terms like $ 6a $ into $ 6 $ and $ a $ — they are one term.

This skill helps in simplifying expressions later by combining like terms.

Let me know if you'd like a visual version with actual circles!