Download Unit 1 Test Review Name

Unit 1 Test Review
Algebra I 300
Name:
Date:
THE UNIT 1 TEST WILL COVER THE FOLLOWING:
a. Everything from the Unit 1 Quiz
i. PEMDAS
ii. Evaluating / Simplifying Expressions
iii. Solving Equations
iv. Solving Absolute Value Equations
v. Word Problems
b. Consecutive Integer Problems
i. Including consecutive even and consecutive odd problems.
c. Translating Forumlas
d. Inequalities
i. Solving Inequalities
ii. Writing Inequalities From the Graph
iii. Inequality Word Problems
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PEMDAS - Simplify each of the following using the correct order of operations:
58
2
1) 2(4  2)  [3(5  8)  9  2]
2)
 2(4  6) 3  3
3
EVALUATE for the given values:
1
2
4
a
(
3
b
)
for
a

,
b

3
6
3)
1
3

x
(
4
y
)
for
x


6
,
y

2
4)
Unit 1 Test Review
Algebra I 300
Name:
Date:
SIMPLIFY the following expressions
1
1
5.  (12 x  8 y )  (4 x  10 y )
4
2
6.
6(c + 2d + 7) + 2(7c -5)
SOLVE the following equations
7.
9.
8.
4x
5
 16
10.
TRANSLATE the formula.
11. Solve for l: A  B    r  l
5
12. Solve for c: C  ( F  32)
9
Unit 1 Test Review
Algebra I 300
Name:
Date:
Follow the five-step process
Step 1: Read each problem carefully.
Step 2: Choose a variable for the unknown
Step 3: Set up an equation.
Step 4: Solve the equation.
Step 5: Answer the question.
13. The width of a rectangle is 5 meters more than one-half its length. The perimeter is
286 meters. Find the length and width.
14. Bert has twice as much money as Ernie. Together they have $75. How much money
does each have?
15. Jenna is five more than twice her sister’s age. Jenna is also ten more than 1.5 times
her sister’s age. How old is Jenna and her sister?
For the following problems, define each number, set up the equation, solve and answer
the question. You must show all work!
16. Find two consecutive even integers whose sum is 138.
Unit 1 Test Review
Algebra I 300
Name:
Date:
17. Find two consecutive odd integers whose sum is -36.
18. Find two consecutive integers whose sum is -97.
19. Find two consecutive odd integers such that twice the greater is 13 less than three
times the smaller.
20. Find four consecutive even integers such that the sum of twice the first and twice the
third is 176.
21. Find two consecutive integers such that three times the smaller integer plus two times
the greater integer is equal to 107.
Unit 1 Test Review
Algebra I 300
Name:
Date:
INEQUALITIES
Solve and graph each solution on a number line.
22.)
23.)
24.)
26.)
25.)
27.)
Unit 1 Test Review
Algebra I 300
Name:
Date:
Solve the following inequality word problems:
28. The sum of two consecutive even integers is greater than 62. Find the smallest pair
of integers.
29. The length of a rectangle is 2cm more than twice its width. The perimeter is at most
52cm. Find the maximum dimensions.
30. Rip Van Winkle Bowling Lanes has a Friday afternoon group special. They charge
the group a $40 flat rate for unlimited bowling plus $3 per person to rent shoes.
a.
You have no more than $75. What is the maximum amount of people you
can bring in your group?
b. The bowling alley says that you can bring no more than 8 people in your
group. What is the maximum amount of money your group could spend?