Algebra — practice questions, page 4
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If 4 − 3x ≥ 19, then the real values of x are described by:How many integers x satisfy −5 < 2x + 1 ≤ 7?A student scored 84, 78 and 72 in three tests. The least score needed in a fourth test so that the…The solution set of 2(x − 1) ≥ 3x − 5, where x is a natural number, is:The equation |2x − 5| = 9 has two roots. How far apart are they on the number line?The number of real solutions of |x − 3| = 2x + 1 is:The real values of x satisfying |x − 1| + |x − 4| = 3 make up:Solving 2x + 3y − 11 = 0 and 3x + 2y − 9 = 0 by the cross-multiplication method gives:The solution of 2/x + 3/y = 13 and 5/x − 4/y = −2, where x and y are non-zero, is:If 47x + 31y = 63 and 31x + 47y = 15, then x − y equals:The equation (k − 5)x = k − 7 has no solution when:Consider the equation (a − 3)x = a² − 9, where a is a constant. Which statement is correct?The pair of equations 2x + ky = 1 and 3x − 5y = 7 has a unique solution for:A 40-litre mixture of milk and water contains 10% water. How much water must be added so that…A two-digit number is 4 times the sum of its digits. If 18 is added to the number, its digits get…The length of a rectangle exceeds twice its breadth by 3 cm, and its perimeter is 42 cm. Its area…If a + b + c = 6, a² + b² + c² = 14 and abc = 6, then a³ + b³ + c³ equals:If a = 2025, b = 2026 and c = 2027, then a³ + b³ + c³ − 3abc equals:If (x + 3)/(x − 3) = 5/2, then x equals:If (3x + 4y)/(3x − 4y) = 7/1, then x : y equals:The number of pairs of positive integers (x, y) satisfying 3x + 5y = 47 is:The positive integers x and y satisfy xy = x + y + 3. The greatest possible value of x + y is:If x and y are positive integers with 7x + 4y = 100, the largest possible value of x is:When x³ − 3x² + 5x − 3 is divided by x² − x + 1, the result is:A polynomial p(x) divided by x² − 2x + 1 gives the quotient x + 3 and the remainder 4x − 2. Then…
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