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Challenge library

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Challenge 001
MathAlgebraMedium
In the xy-plane, line p has a slope of −53 and an x-intercept of (−6, 0). What is the y-coordinate of the y-intercept of line p?
Challenge 002
MathAdvanced MathMedium
The functions f and g are defined as f(x) = 14x − 9 and g(x) = 34x + 21. If h(x) = f(x) + g(x), what is the x-coordinate of the x-intercept of y = h(x)?
Challenge 003
MathProblem SolvingHard
During a month, Morgan ran r miles at 5 miles per hour and biked b miles at 10 miles per hour. She traveled 200 miles total and biked for twice as many hours as she ran. How many miles did Morgan bike?
Challenge 004
MathAlgebraHard
12x + 284 − s13 = r(x − 8)
In the equation, s and r are constants, and s > 0. If the equation has infinitely many solutions, what is the value of s?
Challenge 005
MathAlgebraHard
Graph and answer choices for the problem
What system of linear equations is represented by the lines shown?
Choose an answer
Challenge 006
MathAlgebraHard
2(8x) + 4(7y) = 12
−2(8x) + 4(7y) = 12
The solution to the system is (x, y). What is the value of 8x + 7y?
Challenge 007
MathAlgebraHard
xy
k13
k + 7−15
The table gives two points on a line. The y-intercept is (k − 5, b), where k and b are constants. What is the value of b?
Challenge 008
MathAlgebraHard
3x = 36y − 45
One equation in a system is shown. The system has no solution. Which equation could be the second equation?
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Challenge 016
MathAdvanced MathHard
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Which function gives the museum’s total charge for a group of n people?
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Challenge 017
MathAlgebraHard
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Which equation represents the graphed linear relationship?
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Challenge 018
MathAdvanced MathHard
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Which function gives the carpet cleaner’s rental cost for d days?
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Challenge 019
MathAlgebraHard
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How many solutions will the resulting system of three equations have?
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Challenge 020
MathAlgebraHard
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Use the table to find the value of a.
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Challenge 021
MathAlgebraHard
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The solution to the system is (x, y). What is the value of 30x?
Challenge 022
MathProblem SolvingHard
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What is the smaller of the two positive integers?
Challenge 023
MathAdvanced MathHard
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Find the product of g(15a) and g(7a).
Challenge 024
MathAdvanced MathHard
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What is the y-intercept of the graph of y = f(x)?
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