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Ch. 1 Equations and Inequalities 1.1 Graphs and Graphing Utilities Plot Points in the Rectangular Coordinate System MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question Plot the given point in a rectangular coordinate system 1) (4, 1) y -6 -4 -2 x -2 -4 -6 A) B) y -6 -4 y 6 4 2 -2 x -6 -4 -2 -2 -2 -4 -4 -6 -6 C) x x D) y -6 -4 y 6 4 2 -2 x -6 -4 -2 -2 -2 -4 -4 -6 -6 Page 1 2) (-6, 3) y -6 -4 -2 x -2 -4 -6 A) B) y -6 -4 y 6 4 2 -2 x -6 -4 -2 -2 -2 -4 -4 -6 -6 C) x x D) y -6 -4 y 6 4 2 -2 x -6 -4 -2 -2 -2 -4 -4 -6 -6 Page 2 3) (1, -4) y -6 -4 -2 x -2 -4 -6 A) B) y -6 -4 y 6 4 2 -2 x -6 -4 -2 -2 -2 -4 -4 -6 -6 C) x x D) y -6 -4 y 6 4 2 -2 x -6 -4 -2 -2 -2 -4 -4 -6 -6 Page 3 4) (-1, -4) y -6 -4 -2 x -2 -4 -6 A) B) y -6 -4 y 6 4 2 -2 x -6 -4 -2 -2 -2 -4 -4 -6 -6 C) x x D) y -6 -4 y 6 4 2 -2 x -6 -4 -2 -2 -2 -4 -4 -6 -6 Page 4 5) (0, -4) y -6 -4 -2 x -2 -4 -6 A) B) y -6 -4 y 6 4 2 -2 x -6 -4 -2 -2 -2 -4 -4 -6 -6 C) x x D) y -6 -4 y 6 4 2 -2 x -6 -4 -2 -2 -2 -4 -4 -6 -6 Page 5 6) (-4, 0) y -6 -4 -2 x -2 -4 -6 A) B) y -6 -4 y 6 4 2 -2 x -6 -4 -2 -2 -2 -4 -4 -6 -6 C) x x D) y -6 -4 y 6 4 2 -2 x -6 -4 -2 -2 -2 -4 -4 -6 -6 Page 6 7) - , - 2 y -6 -4 -2 x -2 -4 -6 A) B) y -6 -4 y 6 4 2 -2 x -6 -4 -2 -2 -2 -4 -4 -6 -6 C) x x D) y -6 -4 y 6 4 2 -2 x -6 -4 -2 -2 -2 -4 -4 -6 -6 Page 7 8) - , 0 y -6 -4 -2 x -2 -4 -6 A) B) y -6 -4 y 6 4 2 -2 x -6 -4 -2 -2 -2 -4 -4 -6 -6 C) x x D) y -6 -4 y 6 4 2 -2 x -6 -4 -2 -2 -2 -4 -4 -6 -6 Page 8 Graph Equations in the Rectangular Coordinate System MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question Graph the equation 1) y = x + 3 y -6 -4 -2 x -2 -4 -6 A) B) -6 -4 y 4 2 -2 x -6 -4 -2 -2 -2 -4 -4 -6 -6 C) y x x D) -6 -4 y 4 2 -2 x -6 -4 -2 -2 -2 -4 -4 -6 -6 Page 9 y 2) y = 4x - 3 y -6 -4 -2 x -2 -4 -6 A) B) y -6 -4 y 6 4 2 -2 x -6 -4 -2 -2 -2 -4 -4 -6 -6 C) x x D) y -6 -4 y 6 4 2 -2 x -6 -4 -2 -2 -2 -4 -4 -6 -6 Page 10 Solve Absolute Value Inequalities MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question Solve the absolute value inequality. Other than ∅, use interval notation to express the solution set and graph the solution set on a number line 1) x 6 -10-9 -8 -7 -6 -5 -4 -3 -2 -1 10 A) (-∞, -6) ∪ (6, ∞) B) (-6, 6) -10-9 -8 -7 -6 -5 -4 -3 -2 -1 10 -10-9 -8 -7 -6 -5 -4 -3 -2 -1 10 C) [-6, 6] D) (-∞, -6] ∪ [6, ∞) -10-9 -8 -7 -6 -5 -4 -3 -2 -1 10 -10-9 -8 -7 -6 -5 -4 -3 -2 -1 10 3) |x - 5| 0 -12 -10 -8 -6 -4 -2 10 12 A) (-∞, -4) ∪ (-4, ∞) -12 -10 -8 -6 -4 -2 10 12 -8 -6 -4 -2 10 12 -8 -6 -4 -2 10 12 B) (-4, 4) -12 -10 C) (-4, ∞) -12 -10 D) ∅ -12 -10 -8 -6 -4 -2 10 12 5) |x + 5| ≤ 0 -10 -8 -6 -4 -2 10 -8 -6 -4 -2 10 -8 -6 -4 -2 10 A) {-5} -10 B) {5} -10 C) (-∞, -5) -10 -8 -6 -4 -2 10 -10 -8 -6 -4 -2 10 D) ∅ Page 83 6) |x + 8| ≥ 0 -10 -12 -8 -6 -4 -2 10 12 A) (-∞, ∞) -12 -10 -8 -6 -4 -2 10 12 -10 -8 -6 -4 -2 10 12 -8 -6 -4 -2 10 12 -10 -8 -6 -4 -2 10 12 10 12 14 16 18 20 22 24 B) {-8} -12 C) (-8, 8) -10 -12 D) (-8, ∞) -12 7) |x - 6|