NTS Quantitative Reasoning: Algebra

Question 1

If 2x + 5 = 17, what is the value of x?

Accepted Answer

6

Answer

2x + 5 = 17 → 2x = 12 → x = 6.

Question 2

What is the value of (a + b)² if a = 3 and b = 4?

Accepted Answer

49

Answer

(a + b)² = (3 + 4)² = 7² = 49.

Question 3

Solve for y: 3y - 9 = 2y + 4

Accepted Answer

13

Answer

3y - 9 = 2y + 4 → 3y - 2y = 4 + 9 → y = 13.

Question 4

If x² - 9 = 0, what are the possible values of x?

Accepted Answer

±3

Answer

x² - 9 = 0 → x² = 9 → x = ±3.

Question 5

What is the sum of the first 10 natural numbers?

Accepted Answer

55

Answer

Sum = n(n+1)/2 = 10(11)/2 = 55.

NTS - National Testing Service Practice Test