Transcript Summer Review - Seneca Valley School District

Surfs up! Make waves with math!
SUMMER REVIEW
for students entering
GEOMETRY
REMEMBER: Your high school mathematics courses
require you to use concepts learned in previous
math classes. Use this Summer Review to
reacquaint yourself with skills that you will need to
be successful in geometry.
Give two ways to write each
algebraic expression in words.
NOTE: Answers will vary!
1. x + 3
4/6/2016
2. 2m – 7
Mrs. McConaughy
Geometry
3. 5y
2
Evaluate each expression for
x = 8, y = 5, and z = 4.
4. x + y
4/6/2016
5. x/z
Mrs. McConaughy
Geometry
3
Evaluate each expression.
6. (-2)3
4/6/2016
7.
Mrs. McConaughy
Geometry
2
 
3
2
4
Find each square root.
Time to
recall
your
perfect
squares!
 36
49
4/6/2016
Mrs. McConaughy
Geometry
5
Write all classifications that apply to
each real number (natural, whole,
integer, rational, irrational.)
10. 8/9
11. 12
4/6/2016
Mrs. McConaughy
Geometry
6
Simplify each expression.
12. -24 + 22 – 4
·
3
13. │10 - 52│+ 5
14. 12x + 30x
15. 8y2 – y2
16. 4n + 11n2
17. 4 (2x – 5)
18. 2(x + 5) – 3 (x – 2)
4/6/2016
Time flies when
you’re having
fun!
Mrs. McConaughy
Geometry
7
Solve each equation.
19. 2x + 6 = 10
x3
8
20.
5
21. 2 (x + 1) = 14
22. 2 (3x + 1) – 8x = 12
23. 4x + 5 = 7x + 11
24. -7x – (x – 3)= 2 (5x – 3)
x 4

25.
25 x
Take a break! 
4/6/2016
Mrs. McConaughy
Geometry
8
Write and solve each
proportion.
26.The ratio of band members to nonband members in Seneca Valley
Intermediate High School is 2:5.
There are 875 students in grades 9
and 10. How many band members are
there?
27. Seneca Valley track star I. M.
Fleetfeet ran at a rate of 6 mi/h.
What is this speed in mi/minute?
4/6/2016
Mrs. McConaughy
Geometry
9
Solve each inequality and graph
on a number line.
28. 18 + ≤ 50
29. 7 – 2t ≤ 21
4/6/2016
Mrs. McConaughy
Geometry
10
Find the slope of each line.
30.
4/6/2016
31.
Mrs. McConaughy
Geometry
11
Find the slope of the line
containing the given points.
32. (1,2) & (7, -2)
Time to cool
off with ski
bird!
33. (-4,10) & (0,3)
4/6/2016
Mrs. McConaughy
Geometry
12
NOTE: Remember to label your lines!
Graph each equation.
34. y = -2
35. x= 4
36. y = - ½ x + 4
37. y = 5x - 3
4/6/2016
Mrs. McConaughy
Geometry
13
Write the equation of the line
in slope-intercept form.
38. slope = ½; y-intercept = -5
39. slope = -3; y-intercept = 0
40. through the points (1,-4) and (3,2)
4/6/2016
Mrs. McConaughy
Geometry
14
41. Find the x and y intercepts of -2x + 4y = 7.
42. Is the point (4, 14) on the line y -3x + 2?
Explain.
43. Solve the system of equations by graphing.
y=x–3
y = -x + 1
4/6/2016
Mrs. McConaughy
Geometry
15
Simplify.
44. 25 · 26
45. (25)6
46. a4 · b2 · a5
47. (4x2y6)(-2x3y4)2
5
3
48.
2
3
4/6/2016
5 9
6
a
b
49.
4 4
2a b
Mrs. McConaughy
Geometry
16
Evaluate each function for the
given input value.
50. For y = 2x + 10, find y when x = 6.
51. For y = ½ t – 3, find y when t = 12.
4/6/2016
Mrs. McConaughy
Geometry
17
Evaluate the exponential
function.
52. The function y = 2(3)x models an
insect population after x days. What
will the population be on the 5th day?
4/6/2016
Mrs. McConaughy
Geometry
18
Add or subtract the polynomials.
53. (2x2 – x) + x2 + 3x – 1)
54. (a4 – 2a) – (3a4 – 3a – 1)
4/6/2016
Mrs. McConaughy
Geometry
19
Multiply.
55. (5x2) (4x3)
56. 5 (2x2 + x + 4)
57. (x + 2) (x – 5)
58. (x -5)2
59. (2x + 7) (2x – 7)
60. (x – 3) (x2 + 2x + 3)
4/6/2016
Mrs. McConaughy
Geometry
20
Factor completely.
61. 4x2 – 3x
62. x2 + 6x + 8
63. x2 – 10 x + 16
64. x2 + 7x -18
65. x2 + 12x + 36
66. 25x2 - 81
67. 5x2 – 14x + 8
68. 4x2 + 19x - 5
4/6/2016
Mrs. McConaughy
Geometry
21
You’re finished!
Please return later for solutions!
4/6/2016
Mrs. McConaughy
Geometry
22