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A 100

What is the LCD of the following equation?. -1(x – 3). LCD = -2(x – 3). A 100. After you multiply by the LCD, what is the resulting equation?. LCD = 6x(x – 2). 2(x + 2)(x – 2) – 2x(6x) = x(x – 1)(x – 2). A 200. Solve. 9(x – 3) = 3(x + 5) 9x – 27 = 3x + 15 6x = 42 x = 7. A 300.

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A 100

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  1. What is the LCD of the following equation? -1(x – 3) LCD = -2(x – 3) A 100

  2. After you multiply by the LCD, what is the resulting equation? LCD = 6x(x – 2) 2(x + 2)(x – 2) – 2x(6x) = x(x – 1)(x – 2) A 200

  3. Solve 9(x – 3) = 3(x + 5) 9x – 27 = 3x + 15 6x = 42 x = 7 A 300

  4. Solve + = + = LCD = 2x 1 + 2(2x – 3) = 2(2) 1 + 4x – 6 = 4 -5 + 4x = 4 4x = 9 x = 9/4 A 400

  5. Solve LCD = (a-1)(a+1) a(a – 1)(a + 1) + a2 – 5 = (a2 + a + 2)(a – 1) a(a2 – 1) + a2 – 5 = a3 – a2 + a2 – a + 2a – 2 a3 – a + a2 – 5 = a3 + a – 2 a2 – 2a – 3 = 0 (a – 3)(a + 1)= 0 a = 3 (-1 is extraneous) A 500

  6. What is the fully factored LCD of the related equation for this inequality? - < - < LCD = 8(x + 1)(x – 1) B 100

  7. When you solve the related equation below, the answers are x = 2 and x = 3. What is the final answer? x = 2, x = 3, x ≠ 0 Test x = -1 T x = 1 F x = 2.5 T x = 4 F x < 0 or 2 ≤ x ≤ 3 0 2 3 B 200

  8. Solve LCD = 6(x – 1) 6(x – 1) + 5(6) = 7(x – 1) 6x – 6 + 30 = 7x – 7 6x + 24 = 7x – 7 31 = x x ≠ 1 Test x = 0 T x = 2 F x = 32 T x < 1 or x ≥ 31 1 31 B 300

  9. Solve x2 – 7x + 12 = 0 (x – 3)(x – 4) = 0 x = 3, 4 x ≠ 5, 6 Test x = 0 T x = 3.5 F x = 4.5 T x = 5.5 F x = 7 T x < 3 or 4 ≤ x ≤ 5 or x > 6 3 6 5 4 B 400

  10. Solve LCD: 15(2x + 1)(x + 1) 15(x + 1) + 15(2x + 1) = 8(2x + 1)(x + 1) 15x + 15 + 30x + 15 = 16x2 + 24x + 8 0 = 16x2 + 21x – 22 0 = (16x + 11)(x – 2) x = -11/16 or 2 x ≠ -1/2 , -1 Test x = T x = 3.5 F x = 4.5 T x = 5.5 F x = 7 T x < 3 or 4 ≤ x ≤ 5 or x > 6 -1 2 B 500

  11. Which two x-values would you use to decompose the following rational expression? (2x – 1)(x + 3) Use x = ½ and x = -3 C 200

  12. What is the result after the first three steps of decomposing Factored LCD: (x – 1)(x + 2) = + 8x + 7 = A(x + 2) + B(x – 1) C 300

  13. Decompose x(x – 5) = + 15x – 35 = A(x – 5) + B(x) x = 0: 15(0) – 35 = A(0 – 5) + B(0) A = 7 x = 5: 15(5) – 35 = A(5 – 5) + B(5) B = -5 = + C 400

  14. Decompose (x – 2)(x + 2) = + 5x – 4 = A(x + 2) + B(x – 2) x = 2: 5(2) – 4 = A(2 + 2) + B(2 – 2) A = 1.5 x = -2: 5(-2) – 4 = A(-2 + 2) + B(-2 – 2) B = 3.5 = + C 500

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