Mathematics
Mathematics MCQ Quiz – Part 1 (Questions 1-20)
1. Simplify: (x6)(x5)
Correct Answer: C) x11
When multiplying powers with the same base, add the exponents: x6 × x5 = x(6+5) = x11. Other choices either double coefficients or multiply exponents incorrectly.
2. If 511 = 52 × 5m, what is m?
Correct Answer: C) 9
Same-base multiplication means exponents add: 5(2+m) = 511, so 2 + m = 11, therefore m = 9.
3. Simplify: (4x + 2)(x + 1)
Correct Answer: B) 4x2 + 6x + 2
Use FOIL: (4x)(x) = 4x2, (4x)(1) = 4x, (2)(x) = 2x, (2)(1) = 2. Combine like terms: 4x2 + (4x + 2x) + 2 = 4x2 + 6x + 2.
4. Multiply the binomials: (3x + 5)(2x – 7)
Correct Answer: B) 6x2 – 11x – 35
FOIL gives: (3x)(2x) = 6x2, (3x)(-7) = -21x, (5)(2x) = 10x, (5)(-7) = -35. Combine -21x + 10x = -11x.
5. Solve for x: 3(x + 1) = 5(x – 2) + 7
Correct Answer: D) 3
Distribute: 3x + 3 = 5x – 10 + 7 = 5x – 3. Move terms: 3x + 3 = 5x – 3 ⟹ add 3 both sides: 3x + 6 = 5x ⟹ 6 = 2x ⟹ x = 3.
6. Solve for x: 0.2x + 4 = 3.4
Correct Answer: B) -3
Subtract 4: 0.2x = -0.6. Divide by 0.2 gives x = -0.6 ÷ 0.2 = -3.
7. If y = 3ab + 2b3, what is y when a = 1 and b = 2?
Correct Answer: D) 22
Substitute a = 1, b = 2: y = 3(1)(2) + 2(23) = 6 + 2(8) = 6 + 16 = 22.
8. If (3.2 + 3.3 + 3.5)w = w, what is w?
Correct Answer: A) 0
Add inside parentheses: 3.2 + 3.3 + 3.5 = 10, so 10w = w. That implies 9w = 0, so w = 0.
9. Simplify: (3x3y5 + 3x5y3) – (4x5y3 – 3x3y5)
Correct Answer: D) 6x3y5 – x5y3
Distribute the minus on the second group: 3x3y5 + 3x5y3 – 4x5y3 + 3x3y5 = (3x3y5 + 3x3y5) + (3x5y3 – 4x5y3) = 6x3y5 – x5y3.
10. Simplify: 6.6 × 10-4 in decimal form
Correct Answer: B) 0.00066
Move decimal 4 places left because exponent is -4: 6.6 → 0.00066.
11. (-3)3 = ?
Correct Answer: D) -27
Multiply -3 three times: -3 × -3 × -3 = 9 × -3 = -27.
12. 6! equals?
Correct Answer: B) 720
Factorial 6! = 1 × 2 × 3 × 4 × 5 × 6 = 720.
13. Simplify: (5 – 2)!
Correct Answer: C) 6
(5 – 2) = 3, and 3! = 3 × 2 × 1 = 6.
14. Combine like terms: (7y2 + 3xy – 9) – (2y2 + 3xy – 5)
Correct Answer: A) 5y2 – 4
Distribute negative signs and add: 7y2 – 2y2 cancels to 5y2, 3xy – 3xy cancels, -9 + 5 = -4.
15. Translate into an equation: “x decreased by 11 is twice x”
Correct Answer: D) x – 11 = 2x
“x decreased by 11” is x – 11, “is” means equals, and “twice x” is 2x. So x – 11 = 2x.
16. Solve: 3(x – 4) = 18. What is x?
Correct Answer: D) 10
Divide both sides by 3: x – 4 = 6. Then add 4 to get x = 10.
17. What is the slope m of the line passing through (-3, 5) and (4, -2)?
Correct Answer: B) -1
Slope = (y₂ – y₁) / (x₂ – x₁) = (-2 – 5) / (4 – (-3)) = -7 / 7 = -1.
18. Which of these cannot be the equation of a line passing through (-1, 2)?
Correct Answer: B) y = x + 1
Plug x = -1 into y = x + 1 gives y = 0, not 2. The other equations produce y = 2 when x = -1 or are a vertical line through x = -1.
19. If XY = YZ and angle Y = 90 degrees in right triangle XYZ, which CANNOT be concluded?
Correct Answer: B) XZ < XY
If XY = YZ and angle Y is 90°, the triangle is an isosceles right triangle so the legs are equal and add to 90 degrees; the hypotenuse XZ is the longest side, so the statement XZ < XY is false.
20. In a triangle, what is √(25 + 144)?
Correct Answer: C) 13
25 + 144 = 169, and the square root of 169 is 13.
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