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Question 1. What is the sum of the integers - 7, 3, and 10? A) 6 B) 8 C) 16 D) - 14 Answer: A Explanation: Adding the integers: - 7 + 3 + 10 = (-7 + 3) + 10 = - 4 + 10 = 6. Question 2. Which of the following numbers is irrational? A) 0. B) √ C) ⅖ D) 0.333... Answer: B Explanation: √2 is irrational because it cannot be expressed as a fraction of two integers, whereas the others are rational decimals or fractions. Question 3. Convert 25% to a decimal. A) 0. B) 0.
C) 2.
D) 25.
Answer: B Explanation: 25% is equivalent to 25/100 = 0.25. Question 4. If a shirt originally costs $80 and is on sale with a 25% discount, what is the sale price? A) $ B) $ C) $ D) $ Answer: A Explanation: Discount = 25% of 80 = 0.25 × 80 = 20; Sale price = 80 - 20 = $60. Question 5. Simplify the fraction 18/24. A) 3/ B) 4/ C) 6/ D) 9/ Answer: A
Question 8. Solve for x: 2x + 5 = 13. A) 4 B) 8 C) 9 D) 6 Answer: A Explanation: Subtract 5 from both sides: 2x = 8; divide both sides by 2: x = 4. Question 9. Which property justifies the step: 3 + (4 + 5) = (3 + 4) + 5? A) Distributive property B) Associative property of addition C) Commutative property of addition D) Identity property of addition Answer: B Explanation: The associative property states that the way numbers are grouped does not affect their sum. Question 10. If the area of a rectangle is 48 square units and its length is 8 units, what is its width? A) 6 units
B) 4 units C) 12 units D) 16 units Answer: A Explanation: Area = length × width; so width = Area / length = 48 / 8 = 6 units. Question 11. What is the value of the rational expression: (3/4) ÷ (2/3)? A) 9/ B) 1/ C) 6/ D) 2/ Answer: A Explanation: Dividing fractions: (3/4) ÷ (2/3) = (3/4) × (3/2) = (3×3)/(4×2) = 9/8. Question 12. Which of the following is an irrational number? A) π B) 14/ C) 0.
Explanation: 45% = 45/100 = 9/20 after dividing numerator and denominator by 5. Question 15. Find the absolute value of - 12. A) 12 B) - 12 C) 0 D) 24 Answer: A Explanation: Absolute value of a negative number is its positive counterpart. Question 16. If |x - 4| = 3, what are the possible values of x? A) 1 or 7 B) 4 or 7 C) 1 or 4 D) 3 or 7 Answer: A Explanation: The equation |x - 4| = 3 implies x - 4 = 3 or x - 4 = - 3; solving gives x = 7 or x = 1.
Question 17. Which of the following is a rational number? A) √ B) π C) 0.333... D) √ Answer: C Explanation: 0.333... (repeating) can be expressed as 1/3, which is rational. Question 18. Convert 3/8 to a decimal. A) 0. B) 0. C) 0. D) 0. Answer: A Explanation: Divide numerator by denominator: 3 ÷ 8 = 0.375. Question 19. What is 20% of 150? A) 30 B) 25 C) 35
Question 22. Solve for y: 3y - 7 = 2y + 5. A) 12 B) - 12 C) 2 D) 5 Answer: A Explanation: Subtract 2y from both sides: y - 7 = 5; add 7: y = 12. Question 23. Which of the following is the graph of the line y = 2x + 3? A) A line with slope 2 and y-intercept 3 B) A line with slope - 2 and y-intercept 3 C) A line with slope 3 and y-intercept 2 D) A horizontal line at y = 2 Answer: A Explanation: The equation y = 2x + 3 has slope 2 and y-intercept 3. Question 24. Find the midpoint between the points (2, 3) and (4, 7). A) (3, 5) B) (2, 7) C) (4, 3)
D) (3, 10)
Answer: A Explanation: Midpoint formula: ((x₁ + x₂)/2, (y₁ + y₂)/2) = ( (2+4)/2, (3+7)/2 ) = (3, 5). Question 25. If the quadratic equation x² - 5x + 6 = 0, what are its solutions? A) x = 2 or 3 B) x = - 2 or - 3 C) x = 6 or 1 D) x = 5 or - 6 Answer: A Explanation: Factorization: (x - 2)(x - 3) = 0; solutions are x = 2 or 3. Question 26. Which of the following functions is linear? A) y = 4x + 1 B) y = x² + 3 C) y = 2^x D) y = 1/x Answer: A Explanation: y = 4x + 1 is a linear function with slope 4 and y-intercept 1.
Question 29. Which type of number is π? A) Rational B) Irrational C) Integer D) Whole number Answer: B Explanation: π is irrational because it cannot be expressed as a fraction of two integers. Question 30. Convert 5/8 to a decimal. A) 0. B) 0. C) 0. D) 0. Answer: A Explanation: 5 ÷ 8 = 0.625. Question 31. What is 150% expressed as a decimal? A) 1. B) 15
C) 0.
D) 1500
Answer: A Explanation: 150% = 150/100 = 1.5. Question 32. A store offers a 20% discount on a jacket priced at $50. What is the discount amount? A) $ B) $ C) $ D) $ Answer: A Explanation: 20% of 50 = 0.20 × 50 = $10. Question 33. How many integers are between - 3 and 4? A) 6 B) 7 C) 8 D) 5 Answer: B
Explanation: Combine like terms: x + 2x = 3x; 3 - 5 = - 2; total: 3x - 2. (Updated answer: B is incorrect; correct is A). Question 36. Solve for x: 5x - 2 = 3x + 6. A) 4 B) - 4 C) 8 D) - 8 Answer: A Explanation: Subtract 3x from both sides: 2x - 2 = 6; add 2: 2x = 8; divide by 2: x = 4. Question 37. Which of the following is the equation of a line with a slope of - 3 passing through (2, 5)? A) y - 5 = - 3(x - 2) B) y + 5 = 3(x - 2) C) y - 5 = 3(x - 2) D) y + 5 = - 3(x + 2) Answer: A Explanation: Use point-slope form: y - y₁ = m(x - x₁); m = - 3, point (2,5).
Question 38. Find the solution set of the inequality: 2x - 5 > 1. A) x > 3 B) x > 2. C) x < 3 D) x < 2. Answer: A Explanation: Add 5: 2x > 6; divide by 2: x > 3. Question 39. Which quadratic equation has roots at x = 2 and x = - 3? A) x² + x - 6 = 0 B) x² - 5x + 6 = 0 C) x² + 5x - 6 = 0 D) x² - x - 6 = 0 Answer: B Explanation: Factoring: (x - 2)(x + 3) = x² + x - 6. Question 40. What is the vertex of the parabola y = x² - 4x + 3? A) (2, - 1) B) (-2, 1) C) (4, 3)
Explanation: (8 - 2) / (4 - 1) = 6 / 3 = 2. (Updated: Correct answer is A). Question 43. The graph of y = - 2x + 4 crosses the y-axis at: A) 4 B) - 2 C) 2 D) 0 Answer: A Explanation: The y-intercept occurs where x=0; y = - 2(0) + 4 = 4. Question 44. The length of the hypotenuse of a right triangle with legs 6 and 8 is: A) 10 B) 14 C) 12 D) 16 Answer: A Explanation: Use Pythagoras: c = √(6² + 8²) = √(36 + 64) = √100 = 10.
Question 45. Which shape has four equal sides and four right angles? A) Square B) Rhombus C) Rectangle D) Trapezoid Answer: A Explanation: A square has four equal sides and four right angles. Question 46. Find the area of a circle with radius 5 units. (Use π ≈ 3.14) A) 78. B) 25π C) 50 D) 100π Answer: A Explanation: Area = πr² = 3.14 × 25 = 78.5 square units. Question 47. The volume of a sphere with radius 3 units is: (Use V = 4/3 π r³) A) 36π B) 36 C) 12π
