Bluebook SAT Algebra Practice Flashcards
6 cards from real Bluebook SAT Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 Bluebook SAT Algebra Practice flashcards as text
If 3(x - 4) + 2x = 5x - 7 + k, for what value of k does the equation have infinitely many solutions?
Answer: -5
Expanding gives 5x - 12 = 5x - 7 + k, so k = -5.
The line y = mx + b passes through the points (2, 7) and (5, 16). What is the value of b?
Answer: 1
The slope is 3, and substituting (2, 7) gives 7 = 6 + b, so b = 1.
A phone plan charges a flat monthly fee plus a fixed rate per gigabyte of data. A customer who uses 4 gigabytes pays $34, and a customer who uses 9 gigabytes pays $54. What is the flat monthly fee, in dollars?
Answer: 18
Rate is $4/GB, so fee = 34 - 4(4) = 18.
Which of the following systems of equations has no solution?
Answer: 3x - y = 5 and 6x - 2y = 9
Both lines have slope 3 but different intercepts, so they are parallel.
If 2/(x + 1) = 5/(3x - 2), what is the value of x?
Answer: 9
Cross-multiplying gives 6x - 4 = 5x + 5, so x = 9.
The inequality 4 - 3x > 2x - 11 is equivalent to which of the following?
Answer: x < 3
Collecting terms gives 15 > 5x, so x < 3.