THEA THEA Math 4

Question 1

The ratio of boys to girls in a class is 3:4. If there are 28 girls, how many boys are there?

Accepted Answer

21

Answer

If 4 parts = 28 girls, then 1 part = 7, so 3 parts (boys) = 21.

Question 2

Simplify the expression: (3x³y²)(2x²y⁴)

Accepted Answer

6x⁵y⁶

Answer

Multiply coefficients (3×2=6) and add exponents: x^(3+2) = x⁵, y^(2+4) = y⁶.

Question 3

A data set has the values: 4, 7, 7, 9, 11, 13. What is the median?

Accepted Answer

8

Answer

With 6 values, the median is the average of the 3rd and 4th: (7 + 9)/2 = 8.

Question 4

Which of the following is a solution to the equation x² – 5x + 6 = 0?

Accepted Answer

x = 2

Answer

Factor as (x – 2)(x – 3) = 0, giving solutions x = 2 and x = 3.

Question 5

If a pair of parallel lines is cut by a transversal, alternate interior angles are:

Accepted Answer

congruent

Answer

Alternate interior angles formed by parallel lines cut by a transversal are always congruent (equal).

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