DSC SGT MCQs 2025


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Here are 20 multiple choice questions (MCQs) from 101 to 120 for AP DDSC Secondary Grade Teacher SGT 2025 aspirants based on the Algebra syllabus content:


101. What is the coefficient in the term 7x³?
a) 3
b) 7
c) x
d) 21
Answer: b) 7


102. Which of the following is a linear equation in one variable?
a) 2x + 3 = 7
b) x² + 2x + 1 = 0
c) xy = 5
d) x³ = 8
Answer: a) 2x + 3 = 7


103. What is the value of the expression 3x + 5 when x = 2?
a) 11
b) 13
c) 16
d) 8
Answer: b) 11


104. Simplify: (2x)(3x²)
a) 6x³
b) 5x²
c) 6x
d) 5x³
Answer: a) 6x³


105. Which of the following is an algebraic expression?
a) 5 + 3 = 8
b) 7y - 4
c) 9
d) x = 3
Answer: b) 7y - 4


106. What is the product of (x + 3)(x - 3)?
a) x² - 9
b) x² + 9
c) x² - 6x + 9
d) x² + 6x - 9
Answer: a) x² - 9


107. Identify the term that is NOT a monomial:
a) 5x
b) 3xy
c) 7 + x
d) 4x²
Answer: c) 7 + x


108. Find the value of (2x - 3) when x = 4:
a) 8
b) 5
c) 10
d) 7
Answer: d) 5


109. What is the expanded form of (x + 2)(x + 5)?
a) x² + 7x + 10
b) x² + 10x + 7
c) x² + 7x + 7
d) x² + 10x + 10
Answer: a) x² + 7x + 10


110. Which of the following represents a variable?
a) 7
b) x
c) +
d) 12
Answer: b) x


111. The term '3ab²' has:
a) Coefficient = 3, variables = a, b²
b) Coefficient = ab, variables = 3, b²
c) Coefficient = 3b², variable = a
d) Coefficient = 3, variables = a², b
Answer: a) Coefficient = 3, variables = a, b²


112. What is the result of multiplying a polynomial by a monomial: (x² + 2x)(3x)?
a) 3x³ + 6x²
b) 3x² + 6x
c) 3x + 6
d) 3x² + 2x
Answer: a) 3x³ + 6x²


113. Simplify: (x³)⁰
a) x
b) 1
c) 0
d) x³
Answer: b) 1


114. What is the value of x in the equation 5x - 7 = 3?
a) 1
b) 2
c) -2
d) 3
Answer: b) 2


115. Which law of exponents is used for x² × x³?
a) Product law: Add exponents
b) Quotient law: Subtract exponents
c) Power of power: Multiply exponents
d) Negative exponent law
Answer: a) Product law: Add exponents


116. Express 0.00056 in standard form:
a) 5.6 × 10⁻³
b) 5.6 × 10⁻⁴
c) 5.6 × 10³
d) 0.56 × 10⁻³
Answer: b) 5.6 × 10⁻⁴


117. Factorize the expression: x² - 16
a) (x + 4)(x - 4)
b) (x - 4)²
c) (x + 16)(x - 16)
d) (x + 8)(x - 2)
Answer: a) (x + 4)(x - 4)


118. Divide: (6x³ + 3x²) ÷ 3x
a) 2x² + x
b) 2x + 1
c) 3x² + 1
d) 2x³ + x²
Answer: a) 2x² + x


119. Which of these is a standard identity?
a) (a + b)² = a² + 2ab + b²
b) a² + b² = (a + b)²
c) (a - b)² = a² - b²
d) ab = a + b
Answer: a) (a + b)² = a² + 2ab + b²


120. Which graph is formed by plotting y = 2x + 3?
a) Parabola
b) Straight line
c) Circle
d) Hyperbola
Answer: b) Straight line


 



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