Technical Foundations Flashcards

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

Read the first 7 Technical Foundations flashcards as text

What is the GCF of 36 and 60?
Answer: 12
The greatest common factor of 36 and 60 is 12.
Solve for x: x² − 9 = 0
Answer: x = ±3
x² = 9 gives x = ±3 (both positive and negative roots).
Which expression is equivalent to (a + b)²?
Answer: a² + 2ab + b²
Expanding (a+b)² using FOIL gives a² + 2ab + b².
Convert 0.375 to a fraction in lowest terms.
Answer: 3/8
0.375 = 375/1000 = 3/8 after dividing numerator and denominator by 125.
What is the LCM of 8 and 12?
Answer: 24
The smallest number divisible by both 8 and 12 is 24.
Simplify: √75
Answer: 5√3
√75 = √(25·3) = 5√3.
A rectangle has length 3x + 2 and width 4. What is its area?
Answer: 12x + 8
Area = length × width = 4(3x + 2) = 12x + 8.