Mathematical Ability - Algebra Flashcards
6 cards from real ICET practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 Mathematical Ability - Algebra flashcards as text
If 2x + 3 = 11, what is the value of x?
Answer: 4
2x = 11 − 3 = 8, so x = 4.
The sum of two numbers is 20 and their difference is 4. What is the larger number?
Answer: 12
Adding the two equations: 2x = 24, so the larger number x = 12.
If x² − 5x + 6 = 0, what are the values of x?
Answer: 2 and 3
Factoring: (x − 2)(x − 3) = 0, so x = 2 or x = 3.
What is the value of (a + b)² when a = 3 and b = 4?
Answer: 49
(a + b)² = (3 + 4)² = 7² = 49.
If the ratio of x to y is 3:4 and x = 12, what is y?
Answer: 16
12/y = 3/4, so y = (12 × 4)/3 = 16.
Simplify: (x² − 9) ÷ (x − 3)
Answer: x + 3
x² − 9 = (x − 3)(x + 3), so dividing by (x − 3) gives (x + 3).
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