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