Algebra — practice questions, page 10
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QuestionIf 2x + 3y = 13 and 3x − y = 3, find the value of x + y.QuestionThe roots of the equation x² − px + 12 = 0 are two consecutive positive integers and p > 0. Find…QuestionSolve the pair of equations 2x + 3y = 12 and 4x − y = 10 for x.QuestionA positive number is greater than its reciprocal by 15/4. What is the number?QuestionOne number is 3 more than twice another, and together they add up to 48. Which is the larger number?QuestionThe sum of the first 20 terms of the arithmetic progression 2, 5, 8, 11, ... is:QuestionA quadratic polynomial has zeroes 3 and −5. Which polynomial is it?QuestionKabir puts ₹5 in his piggy bank in the first week, ₹8 in the second week, ₹11 in the third week,…QuestionA quadratic polynomial whose zeroes are 3 and −2 is:QuestionFor what value of k does the pair of equations 2x + 3y = 7 and 4x + 6y = k have infinitely many…QuestionThe nature of the roots of the equation 2x^2 - 3x + 5 = 0 is:QuestionThe remainder when x³ + 3x² + 3x + 1 is divided by (x + 1) is:QuestionFor what value of k is (x − 2) a factor of x² − kx + 2?QuestionHow many solutions does the linear equation 2x + 3y = 12 have?QuestionWhat is the degree of the polynomial 4x³ − 2x² + 7x − 1?
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