Equation Worksheets - Unit 8-9 printable pdf download

Equation Worksheets - Unit 8-9

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Unit 8-9 Review

1. Write y

– 2x + 10y + 23 = 0 in standard form. Identify the vertex and axis of symmetry,.

2. The height, in feet, of a batted ball can be represented by y = –16x

+ 128x + 2, where x is the time in seconds. What

is the maximum height of the ball?

3. Write the equation in standard form for the circle with center at (–6, 1) and radius 3

4. Sketch the graph of

5. Write the equation in standard form of the ellipse with foci

and

if the minor axis has y-intercepts of 6

and .

6. For the equation

, find the coordinates of the center, foci, and vertices. Then graph the equation.

7. Write the equation for a circle with center (–3, 4) and tangent to y = 5.

8. Write

in standard form. Identify the related conic.

9. Write

in standard form. Identify the related conic.

10. Graph the hyperbola given by

11. Graph the hyperbola given by

12. Sketch the curve given by the set of parametric equations.

13. Write

and

in rectangular form. Then graph the equation.

14. Write

and

in rectangular form. Then graph the equation.

15. Write an equation in slope-intercept form of the line with the given parametric equations.

x = –4t – 9

y = 9t – 7

16. Write y = 2t

+ 2 and x = 7t – 8 in rectangular form.

17. A toy rocket is launched at an initial velocity of 50 ft/s at an angle of 75° with the horizontal. How long will it take for

the rocket to travel 15 feet horizontally?

18. A rock is tossed at an initial velocity of 30 m/s at an angle of 10° with the ground. After 0.5 second, how far has the

rock traveled horizontally and vertically?

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Equation Worksheets - Unit 8-9