AzM2 Grade 8 Math 3

Question 1

Which transformation maps triangle ABC onto triangle A'B'C' without changing its size or shape?

Accepted Answer

Rotation

Answer

Rotation is a rigid transformation that preserves both size and shape.

Question 2

Simplify: (3x²y)(4xy³)

Accepted Answer

12x³y⁴

Answer

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?

Accepted Answer

As x increases, y increases

Answer

A positive correlation means both variables increase together.

Question 4

What is the solution to the system: y = 2x + 1 and y = −x + 7?

Accepted Answer

(2, 5)

Answer

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?

Accepted Answer

10

Answer

c² = 6² + 8² = 36 + 64 = 100, so c = 10.

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