University:
Glendale Community College
Course:
MAT120 | Intermediate Algebra
Academic year:

2021
Views:

179

Pages:

2
Author:

Akira Campos

MAT 120 Chapter 5 practice test 1. Make a table of values. Find the vertex and axis of symmetry and sketch a graph. a) y = (x-4)2 – 3 b) y = -2(x+5)2 + 4 2. Find the vertex by using the vertex formula then make a table of values and sketch a graph. a) T(x) = 3x2 – 18x + 22 b) s(x) = -x2 + 10x - 20 3. Solve the equation using the quadratic formula. a) 6x2 + 5x = 3 b) 3x2 + 5x – 2 = 0 4. Solve by the square root property. a) (q+2)2 = 25 c) x2 - 4x + 8 = 0 b) (t - 6)2 = 20 5. Solve the quadratic equation by completing the square and applying the square root property. (0 points for a correct answer gotten by another method) p2 + 4p = 2 6. Solve a) 𝑝 − 8 = 2√𝑝 7) a) b) c) d) e) b) x4 - 7x2 - 18 = 0 c) (x+3)2 + 5(x+3) – 14 = 0 Use the graph of f(x) to solve f(x) = 0 f(x) > 0 f(x) < 0 f(x) ≥ 0 f(x) ≤ 0 8) f(x) = x2 + 6x – 16 (find the following) a) f(x) = 0 b) f(x) > 0 c) f(x) < 0 Answers: 3a) 𝑥 = −5±√97 12 d) f(x) ≥ 0 e) f(x) ≤ 0 3b) x = 1/3, -2 3c) 𝑥 = 2 ± 2𝑖 4a) q = -7,3 4b) 𝑇 = 6 ± 2√5 5) 𝑝 = −2 ± √6 6a) only p = 16 6b) 𝑥 = ±√2𝑖, ±3 6c) x = -10, -1 7a) x = -2,6 7b) (-2,6) 7c) (−∞, −2) ∪ (6, ∞) 7d) [−2,6] 7e) (−∞, −2] ∪ [6, ∞) 8a) x = -8,2 8b) (−∞, −8) ∪ (2, ∞) 8c) (-8,2) 8d) (−∞, −8] ∪ [2, ∞) 8e) [−8,2] 1a) x y 2 1 3 -2 4 -3 5 -2 6 -1 Vertex (4,-3) Axis of symmetry x = 4 1b) vertex (-5,-4) Axis of symmetry x = -5 x -7 -6 -5 -4 -3 2a) vertex (3,-5) x 1 2 3 4 5 2b) vertex (5,5) x 3 4 5 6 7 y -4 2 4 2 -4 T(x) 7 -2 -5 -2 7 s(x) 1 4 5 4 1

Mat 120 Chapter 5 Practice Test

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