SAT Math - Problem Drill 10: Inequalities No. 1 of 10 1. Choose the inequality symbol that means at most. (A) > (B) < (C) (D) (E) This symbol means greater than. This symbol means less than. This symbol means greater than or equal to or at least. D. Correct! This symbol means at most or less than or equal to. This symbol means not equal to. The inequality symbol means less than or equal to or at most. The correct answer is (D).
No. 2 of 10 2. Solve the inequality: 18 + a < 7 (A) a < -11 (B) a > -11 (C) a < 25 (D) a > 25 (E) a < 2.6 A. Correct! You subtracted 18 from both sides of the inequality to reach the final answer. Subtract 18 from both sides of the inequality to reach the final answer. Subtract 18 from both sides of the inequality to reach the final answer. Subtract 18 from both sides of the inequality to reach the final answer. Subtract 18 from both sides of the inequality to reach the final answer. Subtract 18 from both sides of the inequality. 18 + a < 7 18 + a 18 < 7 18 a < -11 The correct answer is (A).
No. 3 of 10 r 3. Solve the inequality: 16 5 (A) r -11 (B) r 3.2 (C) r 11 (D) r 21 (E) r 80 Multiply both sides of the inequality by 5 to reach the final answer. Multiply both sides of the inequality by 5 to reach the final answer. Multiply both sides of the inequality by 5 to reach the final answer. Multiply both sides of the inequality by 5 to reach the final answer. E. Correct! You multiplied both sides of the inequality by 5 to reach the final answer. Multiply both sides of the inequality by 5. r 16 5 r 5 16 5 5 r 80 The correct answer is (E).
No. 4 of 10 4. Solve the inequality: 5 2f > -13 (A) f > -16 (B) f > -6 (C) f < 9 (D) f > 10 (E) f > 1.5 Review the rules for solving an inequality. Review the rules for solving an inequality. C. Correct! You correctly applied inverse operations to solve the inequality. Review the rules for solving an inequality. Review the rules for solving an inequality. Subtract 5 from both sides, divide both sides by -2, and reverse the inequality sign. 5 2f 13 5 2f 5 13 5 2f 18 2 2 f 9 The correct answer is (C).
No. 5 of 10 5. Solve the inequality: 18 < 3j 42 (A) j > -8 (B) 6 < j 14 (C) 15 < j < 39 (D) 21 < j < 45 (E) None of the above Review the steps for solving a conjunction inequality. B. Correct! You divided each part of the inequality by 3 to reach the final answer. Review the steps for solving a conjunction inequality. Review the steps for solving a conjunction inequality. Review the steps for solving a conjunction inequality. Divide each part of the inequality by 3. 18 3 j 42 3 3 3 6 j 14 The correct answer is (B).
No. 6 of 10 Instructions: (1) Read the problem and answer choices carefully (2) Work the problems on paper as 6. Translate the statement to math symbols: 7 more than a number is at least 26. (A) 7 > n 26 (B) n + 7 26 (C) 7 < n < 26 (D) 7 < n 26 (E) 7 n + 26 Review the list of keywords for mathematical symbols. B. Correct! You correctly translated the verbal statement to mathematical symbols. Review the list of keywords for mathematical symbols. Review the list of keywords for mathematical symbols. Review the list of keywords for mathematical symbols. 7 more than a number is at least 26. more than + a number n is at least 7 + n 26 which is the same as n + 7 26 The correct answer is (B).
No. 7 of 10 7. Graph the solution to the inequality: p + 7 < 8 or 6p 30 Review how to graph compound inequalities. Review how to graph compound inequalities. Review how to graph compound inequalities. Review how to graph compound inequalities. E. Correct! You correctly solved and graphed the compound inequality. Solve each inequality separately then graph the solution sets on the same number line. p 7 8 7 7 p 1 or 6p 30 6 6 p 5 The correct answer is (E).
No. 8 of 10 8. Graph the solution set for the inequality: 2k 5 > 3 (A) (B) (C) (D) (E) A. Correct! You correctly matched the inequality to its graph. Review how to solve and graph a one-variable inequality. Review how to solve and graph a one-variable inequality. Review how to solve and graph a one-variable inequality. Review how to solve and graph a one-variable inequality. Add 5 to both sides, divide both sides by 2, and then graph the solution set. 2k 5 3 2k 5 5 3 5 2k 8 2 2 k 4 The correct answer is (A).
No. 9 of 10 Instructions: (1) Read the problem and answer choices carefully (2) Work the problems on paper as 9. Choose the mathematical statement that matches the graph. (A) x -1 (B) x < -1 (C) x -1 (D) x > -1 (E) x -1 Review how to graph a one-variable inequality. Review how to graph a one-variable inequality. C. Correct! This inequality matches the solution set shown in the graph. Review how to graph a one-variable inequality. Review how to graph a one-variable inequality. The graph has a shaded boundary point at -1, which means -1 is included in the solution set. The graph is shaded to the right of -1, which means the solution set includes all of the numbers greater than -1. The correct answer is (C).
No. 10 of 10 10. Choose the graph of the linear equality: y > -2x 5 Review the steps for solving a linear inequality. Review the steps for solving a linear inequality. Review the steps for solving a linear inequality. D. Correct! You correctly graphed the linear inequality. Review the steps for solving a linear inequality. The boundary line is not included in the solution set, so it is dashed. Graph two points on the boundary line of the inequality. Connect them with a dashed line. Use test points to determine which side of the line to shade. Shade above the boundary line. The correct answer is (D).