Let’s solve each question one by one with clear explanations.
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**Question 1: Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x²**
✔ Correct Answer: B. 3x, -9x
Explanation:
Like terms are terms that have the *same variable(s) raised to the same power(s)*.
- 3x and -9x → both are “x” to the first power →
like terms
- 7 → constant (no variable)
- 24y → different variable
- 2x² → x squared → different power than 3x or -9x
So only
3x and -9x are like terms.
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**Question 2: Simplify by combining like terms:
5a + 2b - 3a + 4**
✔ Correct Answer: A. 2a + 2b + 4
Explanation:
Group like terms:
- a-terms: 5a - 3a = 2a
- b-term: 2b (only one)
- constant: +4
→ So simplified:
2a + 2b + 4
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**Question 3: Simplify the expression:
7v + 2 + 12 + 2v**
✔ Correct Answer: C. 9v + 14
Explanation:
Group like terms:
- v-terms: 7v + 2v = 9v
- constants: 2 + 12 = 14
→ So simplified:
9v + 14
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**Question 4: Simplify the following expression:
-10x + 15 - 3x + 2**
✔ Correct Answer: B. -13x + 17
Explanation:
Group like terms:
- x-terms: -10x - 3x = -13x
- constants: 15 + 2 = 17
→ So simplified:
-13x + 17
*(Note: There is no x² term — so options with x² are incorrect.)*
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**Question 5: Simplify the following expression:
-6x + 4(-x - 3)**
✔ Correct Answer: A. -10x - 12
Explanation:
First, distribute the 4:
→ 4(-x - 3) = -4x - 12
Now rewrite entire expression:
→ -6x + (-4x - 12) = -6x - 4x - 12 =
-10x - 12
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**Question 6: Simplify the following expression:
19 - (3 - 5b)**
✔ Correct Answer: A. 16 + 5b *(assuming this is option A — since it's cut off in image)*
Explanation:
Distribute the negative sign (which is like multiplying by -1):
→ 19 - 3 + 5b =
16 + 5b
*(Note: The minus sign before parentheses changes the sign of each term inside.)*
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✔ Final Answers:
1.
B
2.
A
3.
C
4.
B
5.
A
6.
A (16 + 5b)
Let me know if you want help with the remaining questions (7–13) — just upload or type them!
Parent Tip: Review the logic above to help your child master the concept of 9th math printables.
