AzM2 Grade 8 Math 3 — Questions and Answers
Question 1: Which transformation maps triangle ABC onto triangle A'B'C' without changing its size or shape?
- Dilation
- Rotation (Correct answer)
- Stretch
- Shear
Correct answer: Rotation
Rotation is a rigid transformation that preserves both size and shape.
Question 2: Simplify: (3x²y)(4xy³)
- 7x³y⁴
- 12x³y⁴ (Correct answer)
- 12x²y³
- 7x²y³
Correct answer: 12x³y⁴
Multiply coefficients (3×4=12) and add exponents: x^(2+1) = x³, y^(1+3) = y⁴.
Question 3: The scatter plot shows a positive correlation. What does this mean?
- As x increases, y decreases
- As x increases, y increases (Correct answer)
- x and y are unrelated
- y stays constant as x changes
Correct answer: As x increases, y increases
A positive correlation means both variables increase together.
Question 4: What is the solution to the system: y = 2x + 1 and y = −x + 7?
- (2, 5) (Correct answer)
- (3, 4)
- (1, 3)
- (4, 3)
Correct answer: (2, 5)
Setting 2x + 1 = −x + 7 gives 3x = 6, x = 2; y = 2(2)+1 = 5.
Question 5: A right triangle has legs of 6 and 8. What is the length of the hypotenuse?
- 10 (Correct answer)
- 12
- 14
- 7
Correct answer: 10
c² = 6² + 8² = 36 + 64 = 100, so c = 10.
Question 6: What is the y-intercept of the line 4x − 2y = 8?
- 4
- −4 (Correct answer)
- 2
- −2
Correct answer: −4
Solving for y: y = 2x − 4, so the y-intercept is −4.
Question 7: Which set of side lengths could form a right triangle?
- 3, 4, 6
- 5, 12, 13 (Correct answer)
- 6, 8, 11
- 7, 9, 12
Correct answer: 5, 12, 13
5² + 12² = 25 + 144 = 169 = 13², confirming it is a right triangle.
AzM2 Grade 8 Math 3
Which transformation maps triangle ABC onto triangle A'B'C' without changing its size or shape?