Here is the step-by-step solution to each question from the algebra quiz:
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1. Which of the following is NOT a linear equation?
- A linear equation has variables with exponent 1 only (no squares, cubes, etc.).
-
A. `8 - y = 7` → This is linear (y has exponent 1).
-
B. `x + 7 = 32` → Linear.
-
C. `x² + 7 = 32` →
NOT linear because `x²` means x has exponent 2.
-
D. `3x + 7 = 32` → Linear.
✔ Correct Answer: C
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2. Identify the equation representing: “If x is taken as the length of the hall then thrice the length of the hall is 120”
- “Thrice the length” means 3 times x → `3x`
- “is 120” → `= 120`
- So, equation is: `3x = 120`
✔ Correct Answer: D
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3. Identify the equation of: “3 is taken away from the sum of x and y”
- Sum of x and y → `(x + y)`
- “3 is taken away from” → subtract 3 → `(x + y) - 3`
✔ Correct Answer: D
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4. Determine if 3 is a root of the equation: `3x + 3 = 11`
- Substitute x = 3 into the left side:
`3(3) + 3 = 9 + 3 = 12`
- Right side is 11 → 12 ≠ 11
- So, 3 is
not a root.
✔ Correct Answer: B
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5. Write in exponential form: `a × a × a × ... 12 times`
- When you multiply a variable by itself n times, it’s written as `aⁿ`
- Here, 12 times → `a¹²`
✔ Correct Answer: D
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6. Identify the expression for: “y is multiplied by -5 and the result is added to 10”
- “y is multiplied by -5” → `-5y`
- “result is added to 10” → `10 + (-5y)` or `-5y + 10`
✔ Correct Answer: B
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✔ Final Answers:
1.
C
2.
D
3.
D
4.
B
5.
D
6.
B
Let me know if you’d like explanations for any other questions!
Parent Tip: Review the logic above to help your child master the concept of introduction to algebra worksheet.
