Algebra II Enriched
SUMMER ASSIGNMENT (2013)
(Chapter 1 Review)
DIRECTIONS: Please show all work on a separate sheet of paper. This is assignment is DUE OF
THE FIRST DAY OF CLASS!! Please bring it with you on the first day. The answers have been
attached so you can check your work. As a result, you MUST have work to earn any credit for this
assignment.
Name:
Date:
Period:
Which set of number does each number belong?
1. √
2.
3.
4. √
Name the property of real numbers illustrated by each equation.
5. (
6. (
7. ( √
8.
9.
10.
)
)
) √
(
(
)
√ )
(√
)
Evaluate the expression for the given value of the variable(s).
11.
12. |
13.
14.
15.
|
|
|
Solve.
[
16.
17.
18.
19.
(
(
[ (
(
)
)
)
[
)
(
]
(
[ (
)]
(
[
)
(
)
]
)
( )]
)]
Solve each formula for the indicated variable and find any restrictions.
20.
21.
22.
23.
(
(
)
)
Algebra II Enriched
SUMMER ASSIGNMENT (2013)
(Chapter 1 Review)
DIRECTIONS: Please show all work on a separate sheet of paper. This is assignment is DUE OF
THE FIRST DAY OF CLASS!! Please bring it with you on the first day. The answers have been
attached so you can check your work. As a result, you MUST have work to earn any credit for this
assignment.
Name:
24. (
Date:
)
(
Period:
)
Write an equation to solve each word problem.
25. The sides of a rectangle are in the ratio 5:7 and the perimeter of the rectangle is 96 cm.
What is the area of the rectangle?
26. The perimeter of a park is 624 yd. The length of the park is 8 yd more than 3 times the
width. Find the dimensions of the park.
27. Mike and Adam left a bus terminal at the same time and traveled in opposite directions.
Mike’s bus was in heavy traffic and had to travel at 20 mi/h slower than Adam’s bus. After
3 hours, their buses were 270 miles apart. How fast was each bus going?
28. Mrs. Scott drove at a rate of 45 mi/h from her home to her sister’s house. She spent 1.5
hours having lunch with her sister. Then she drove back home at a rate of 55 mi/h. The
entire trip, including lunch, took 4 hours. How far does Mrs. Scott live from her sister?
Solve and graph.
29.
(
)]
20. [
31.
32. Solve and graph:
33. Solve and graph:
34. Solve and graph:
(
)
Write an inequality to solve each word problem.
35. Your salary is $1250 per week and you receive 5% commission on your sales each week.
What are the possible amounts (in dollars) that you can sell each week to earn at least $1500
per week?
36. Watermelons cost $0.39 per pound at a local market. Kent’s watermelon costs between
$4.00 and $5.00. What are the possible weights of the watermelon?
Solve.
37. Solve:
|
|
Algebra II Enriched
SUMMER ASSIGNMENT (2013)
(Chapter 1 Review)
DIRECTIONS: Please show all work on a separate sheet of paper. This is assignment is DUE OF
THE FIRST DAY OF CLASS!! Please bring it with you on the first day. The answers have been
attached so you can check your work. As a result, you MUST have work to earn any credit for this
assignment.
Name:
38.
39.
40.
41.
42.
Date:
|
Solve: |
(
)
|
|
Solve:
|
Solve and graph:
Solve and graph: | |
|
|
Solve and graph:
Period:
|
ANSWER KEY:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
whole, natural, integer, rational, real
rational, real
integer, rational, real
irrational, real
distributive property
commutative property of addition
associative property of multiplication
inverse property of multiplication
identity property of addition
inverse property of addition
67
47
62
28.
(
)
(
29.
30. no solution
31.
32. no solution
33.
34. all real numbers
35.
36.
37.
38.
39.
40.
41.
42.
20.
21.
22.
23.
24.
25.
26.
27.
(
(
)
(
)
)
no solution
all real numbers
)