Reference no: EM13526667

1. Use the indicated property to write an expression that is equivalent to the following expression.

(8 • 16) •?11        (associative property of multiplication)

2. The product of two consecutive positive even integers is 120.  Find the integers.

3. Factor completely.     7x2 – 12x – 4

4. The length of a rectangular garden is 2 ft less than 3 times its width.  If the perimeter of the garden is 44 ft, find the dimensions of the garden.

5 Given f(x) = –x3 + x2 + 3x + 4, find f(–1), f(0), and f(1)

6. Find two consecutive odd integers such that 5 times the first integer is 12 more than 3 times the second.

7. Use the indicated property to write an expression that is equivalent to the following expression.

14 • 20 + 14 • 15        (distributive property)

8. Decide whether the equation has as its graph a line, a parabola, a circle, or none of these.

–5x + 3y = 15

9. Decide whether the equation has as its graph a line, a parabola, a circle, or none of these.

y = –5x2 + 6x – 9

10. Decide whether the equation has as its graph a line, a parabola, a circle, or none of these.

x2 + 2x + y2 – 2y = 3

11. Find the center and radius of the circle given by x2 + 8x + y2 + 10y = 23.

12. Determine the x intercepts and the y intercepts of the ellipse.

4x2 + 49y2 = 196

13. Identify the graph of the equation as one of the conic sections.

4x2 + 25y2 = 100

14. Identify the graph of the equation as one of the conic sections.

x = y2 –2y –24

15. Identify the graph of the equation as one of the conic sections.

x2 – 2x + y2 + 4y = 44