OTEE Mathematical Aptitude 3

Question 1

If 3x + 7 = 25, what is the value of x?

Accepted Answer

6

Answer

Subtract 7 from both sides to get 3x = 18, then x = 6.

Question 2

One number is 4 more than twice another number, and their sum is 22. What is the smaller number?

Accepted Answer

6

Answer

Let n = smaller; 2n + 4 + n = 22 → 3n = 18 → n = 6.

Question 3

Which values of x satisfy the equation x² − 5x + 6 = 0?

Accepted Answer

x = 2 and x = 3

Answer

Factor as (x − 2)(x − 3) = 0, giving x = 2 or x = 3.

Question 4

A cadet receives a 15% pay raise and now earns $23 per hour. What was the original hourly rate?

Accepted Answer

$20.00

Answer

1.15x = 23, so x = 23 ÷ 1.15 = $20.00.

Question 5

Solve for y: 2(y − 3) = 4y − 10

Accepted Answer

y = 2

Answer

2y − 6 = 4y − 10 → −2y = −4 → y = 2.

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