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This comprehensive material covers various aspects of algebraic relations, equations, and functions. It includes problems that require identifying relationships between variables, interpreting systems of equations, and analyzing linear functions through graphs and terms of sequences. Topics include slope determination, function identification, and related equations, making it a vital resource for students seeking to understand foundational algebra concepts. Perfect for practice or exam preparation in algebra.
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Algebraic Relations • Which of the following equations represents the relationship between x and y in the table below? • y = 2x – 1 • y = -2x + 1 • y = 2x + 1 • y = x + 2
Algebraic Relations • What are the x and y values in this system of equations? • {-2, 1} • {-4, 4} • {-4, 2} • {4, -4}
Algebraic Relations • What is the rule of the function presented in the graph below? • c = 5h + 10 • h = 10c + 15 • c = 10h + 15 • h = 15c
Algebraic Relations • Which relation is not a function? • C. y = -4x – 1 D.{(-2, 4), (-1, 5), (-1, 8), (-3, -1)} -2 -1 0 -1 0
Algebraic Relations • Which graph best represents the equaiton–x + y = -3 ? A. B. C.
Algebraic Relations • Dawn raises money for her school by selling pens and notebooks. Pens cost $2 and notebooks cost $3. She sells a total of 70 items and raises a total of $180. Which system of equations represents this situation? A. B. C. D.
Algebraic Relations • Below are the first five terms in a sequence. Which recursive definition describes this sequence? A. B. C.D.
Algebraic Relations • Which is the equation of a linear function?
Algebraic Relations B. A. • Which is the graph of y ≤ x + 1 ? D. C.
Algebraic Relations • 3, 7, 11, 15, 19, ... The arithmetic sequence for x = 1 through x = 5 is shown. Determine the slope of the associated linear function. A. -4 B. C. D. 4
Algebraic Relations • A line passes through points (–1, 2) and (1, –1). What is the slope of the line perpendicular to this line? A. B. C. D.
Algebraic Relations • What is the solution to the system of linear equations graphed below? A. B. C. D.