Algebra 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 Algebra flashcards as text

Which value of x satisfies the system: x + y = 7 and 2x - y = 5?
Answer: 4
Adding both equations gives 3x = 12, so x = 4.
Simplify: (x² - 9)/(x + 3)
Answer: x - 3
x² - 9 = (x-3)(x+3), and dividing by (x+3) leaves (x - 3).
An investment of $1,200 earns 5% simple interest per year. How much interest is earned in 3 years?
Answer: $180
Simple interest = P·r·t = 1200 × 0.05 × 3 = $180.
What is the domain of f(x) = 1/(x - 5)?
Answer: All real numbers except x = 5
The function is undefined when the denominator equals zero, i.e., when x = 5.
Expand and simplify: (x + 4)²
Answer: x² + 8x + 16
(x + 4)² = x² + 2(4)x + 4² = x² + 8x + 16.
If 2^x = 32, what is x?
Answer: 5
32 = 2⁵, so x = 5.
Which equation represents a line parallel to y = 3x - 2?
Answer: y = 3x + 7
Parallel lines have equal slopes; y = 3x + 7 has the same slope of 3.