AzM2 Grade 8 Math Test 2

Question 1

What is the solution to the equation 3(x - 4) = 2x + 1?

Accepted Answer

x = 13

Answer

Distribute: 3x - 12 = 2x + 1. Subtract 2x from both sides: x - 12 = 1. Add 12: x = 13.

Question 2

A line passes through the points (2, 5) and (6, 13). What is the slope of this line?

Accepted Answer

2

Answer

Slope = (y₂ - y₁)/(x₂ - x₁) = (13 - 5)/(6 - 2) = 8/4 = 2.

Question 3

Which of the following is equivalent to 5⁻³?

Accepted Answer

1/125

Answer

A negative exponent means take the reciprocal: 5⁻³ = 1/5³ = 1/125.

Question 4

The volume of a cylinder is given by V = πr²h. If r = 3 cm and h = 7 cm, what is the approximate volume? (Use π ≈ 3.14)

Accepted Answer

197.8 cm³

Answer

V = π(3²)(7) = π(9)(7) = 63π ≈ 63 × 3.14 ≈ 197.82 cm³.

Question 5

A scatter plot shows the number of hours students study and their test scores. As study hours increase, test scores also increase. What type of correlation does this represent?

Accepted Answer

Positive correlation

Answer

When both variables increase together, this is a positive correlation — the data points trend upward from left to right.

AzM2 Practice Test

AzM2 Practice Test

AzM2 Grade 8 Math Test 2