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 3x − 2y = 8 and x + y = 6, what is the value of x?
Answer: 4
Substituting y = 6 − x into the first equation: 3x − 2(6 − x) = 8 → 5x = 20 → x = 4.
What is the value of x if 4(x − 2) = 2(x + 6)?
Answer: 10
4x − 8 = 2x + 12 → 2x = 20 → x = 10.
If a = 2 and b = −3, what is the value of a³ − b²?
Answer: −1
a³ − b² = 8 − 9 = −1.
The product of two consecutive positive integers is 56. What is the smaller integer?
Answer: 7
7 × 8 = 56, so the smaller integer is 7.
If f(x) = 2x² + 3x − 5, what is f(2)?
Answer: 9
f(2) = 2(4) + 3(2) − 5 = 8 + 6 − 5 = 9.
What is the value of x in the proportion: 3/x = 12/20?
Answer: 5
Cross-multiplying: 3 × 20 = 12x → 60 = 12x → x = 5.
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