Quantitative Reasoning: Algebra Flashcards

6 cards from real NTS practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Quantitative Reasoning: Algebra flashcards as text

If 2x + 5 = 17, what is the value of x?
Answer: 6
2x + 5 = 17 → 2x = 12 → x = 6.
What is the value of (a + b)² if a = 3 and b = 4?
Answer: 49
(a + b)² = (3 + 4)² = 7² = 49.
Solve for y: 3y - 9 = 2y + 4
Answer: 13
3y - 9 = 2y + 4 → 3y - 2y = 4 + 9 → y = 13.
If x² - 9 = 0, what are the possible values of x?
Answer: ±3
x² - 9 = 0 → x² = 9 → x = ±3.
What is the sum of the first 10 natural numbers?
Answer: 55
Sum = n(n+1)/2 = 10(11)/2 = 55.
Simplify: 5(2x - 3) + 4x
Answer: 14x - 15
5(2x - 3) + 4x = 10x - 15 + 4x = 14x - 15.