Download Honors Geometry Summer Packet 2

HONORS MATH II SUMMER PACKET
Complete all problems in the packet. There will be a test during the first week of
school. Any questions will be addresses before the test. Also, utilize math website
like www.khanacademy.com or www.brightstorm.com for any extra help.
Solve:
1.
2.
x  25  56
= 30
3
3x  7
=4
5
3. – (r +2) = 5
4. 8 = 7y – 4(y - 1)
5. 5 (x+3) -6x = -12
6. 9 - 4( 1- w) = -w
7. -6 ( 4d + 5) + 7d= -2d
8.
1
z – 7 = -1
6
9. 2 -
3
t = 11
2
Solve each equation for y
10. 3x – 2y = 6
11. x -
12.
3
y = 12
4
1
1
x y 6
2
3
Solve each equation for the variable indicated.
13. P = 4s, for s
14. 2x + y = 4, for y
15. h = at -16t², for a
Find the area of each shape.
16. A right triangle with perpendicular sides of lengths 9m and 10 m.
17. A trapezoid with bases 7ft and 10 ft, and with height 8 ft.
Find the specified dimension
18. The base of a triangle with area 12( y - 3), base 6y, and height 2.
19. The height of a trapezoid with bases 7 and 15, height (x - 4), and area 55.
Solve and graph each inequality.
20. 8 > 5 – 9b
21. -4(a + 1) ≥2
22. 3( 8 – j) < -12
23. 2k < 8k -24
Solve each system of equations.
24.
y = 3x
2x + y = 20
25.
2r + 3s = -5
6s = 2r
26.
7a + b = 28
b= 2a + 1
27.
y = 3x – 6
7x + 2y = 66
28.
y-x = -2
5x – y = 10
29.
½x+y=2
2x + y = -2
30.
y + 2.5x = 1
-0.5 x + y = 5
Graph each equation and find the slope of the line.
31. x = 5
32. y = 0
33. 5x = -20
34. -1/2 y = -4
35. 1.2 x = -1.2
36. -3y = -18
37. ¾ x = 0
38. -2x = 7
Write an equation for the line. If there is too little information, state this.
39. The slope is 3/5 and the vertical intercept is -2.
40. The slope is 3 and the origin is on the line.
41. The points (7, 5) and (5, 9) are on the line.
42. The slope is undefined.
43. The horizontal intercept is -6 and the vertical intercept is 4.
44. The slope is -5 and the horizontal intercept is 1.
45. The vertical intercept is -8.
46. The points (8, -1) and (3, -1) are on the line.
47. Nora Ramond works as a service station attendant. She earns a weekly salary of $
280.000 plus $10.50 per hour for overtime over 40 hours.
Write an equation that you can use to find Nora’s weekly earnings.
What do you think is a reasonable domain for this function?
Find the range for the domain you gave in part (b).
Graph the function.
What is the vertical intercept of the graph? Explain the meaning of the vertical
intercept in terms of the situation.
f. What is the slope of the graph? Explain the meaning of the slope in terms of the
situation.
a.
b.
c.
d.
e.
48. ABC Auto Repair charges $ 93 for parts and $42 per hour of labor for a repair
job. Bob’s Auto Shop charges a flat fee of $225 for the same job.
a. Write a system of equations to represent the situation.
b. Graph the system of equations in part (a)
c. Which estimate is cheaper if the job takes two hours? Four hours? Explain how
the graph supports your answers.