MTH 095 Practice Test 5

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					MTH 095 Practice Test 5

Problems 1–3: Solve and reduce the answer to simplest form. If there are no real solutions,
give the complex solutions.

1. x2 = 20

2. x2 + 1 = 0

3. (x + 3)2 = 10

Problems 4–7: Don’t solve the equation. Just show how you would complete the square,
and then factor.

4. x2 + 6x = 20

5. x2 – 7x – 1 = 0

6. x2 – x + 2 = 0

7. 2x2 + 7x – 1 = 0

Problems 8–10: Solve and reduce the answer to simplest form. If there are no real
solutions, give the complex solutions.

8. x2 + 2x + 3 = 0

9. (x + 2)2 = 2x

      1 2      1
10.     x = x+
      3        3

11. State how you can use the coefficients in a quadratic equation to determine the number of
real solutions.

Problems 12–13: Use the discriminant to find the number of real solutions.

12. 5x2 = 6 – 2x

13. 5x2 = 6 + 2x

Problem 14: Solve the inequality. Show the solution with the notation you prefer.

14. x2 – 3x ≤ 10
Sketch the graph of the function. First make a table of x and y = f(x). Indicate which point
is the vertex. Then graph the points in your table, and sketch in the curve.

15. f(x) = (x – 3)2 – 5




16. f(x) = x2 – 4x – 5

				
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