A small system of equations using letters in place of numbers. You work out what one letter must be for every equation to hold.
Every question below is original, written to the official task format, and answered in full. Work through them on paper first, then again without it — you cannot count on having anything to write on during the exam, so solving in your head is part of the skill.
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Take the free mockWhat number does B correspond to so that all equations are satisfied?
Correct answer: D — 19
Solving the system gives A = 4, B = 19, so B = 19.
What number does B correspond to so that all equations are satisfied?
Correct answer: D — 19
Solving the system gives A = 18, B = 19, so B = 19.
What number does B correspond to so that all equations are satisfied?
Correct answer: A — 15
Solving the system gives A = 2, B = 15, so B = 15.
What number does B correspond to so that all equations are satisfied?
Correct answer: B — 13
Solving the system gives A = 12, B = 13, so B = 13.
What number does B correspond to so that all equations are satisfied?
Correct answer: C — 14
Solving the system gives A = 16, B = 14, so B = 14.
What number does B correspond to so that all equations are satisfied?
Correct answer: D — 7
Solving the system gives A = 5, B = 7, so B = 7.
What number does B correspond to so that all equations are satisfied?
Correct answer: C — 9
Solving the system gives A = 20, B = 9, so B = 9.
What number does B correspond to so that all equations are satisfied?
Correct answer: B — 10
Solving the system gives A = 13, B = 10, so B = 10.
What number does C correspond to so that all equations are satisfied?
Correct answer: D — 20
Solving the system gives A = 7, B = 7, C = 20, so C = 20.
What number does C correspond to so that all equations are satisfied?
Correct answer: D — 14
Solving the system gives A = 2, B = 14, C = 14, so C = 14.
What number does C correspond to so that all equations are satisfied?
Correct answer: D — 2
Solving the system gives A = 12, B = 20, C = 2, so C = 2.
What number does C correspond to so that all equations are satisfied?
Correct answer: D — 15
Solving the system gives A = 9, B = 13, C = 15, so C = 15.