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09 Fundamentals of Algebra Unit Review

Total questions: 50

Worksheet time: 12hrs 16mins

Name
Class
Date
1.

What is 0.8% expressed in standard form?

a)
0.008
b)
0.08
c)
8
d)
80
2.

What is 2.32 expressed as a Percent?

a)
232%
b)
23.2%
c)
0.232%
d)
0.0232%
3.

Which of the fractions below is equivalent to the repeating decimal 0.1666666666....

a)
1/6
b)
4/25
c)
1/16
d)
17/100
4.

Which of the decimals below is equivalent to the fraction 10/3 ? 

a)
3.333333......
b)
10.3
c)
1.3
d)
0.333333.......
5.
Solve for "x" 
a)
x = 18
b)
x = 23.5
c)
x = 12.5
d)
x = 16
6.

A recipe calls for three pinches of salt for every five servings. If you are planning to serve 80 people with this recipe, how many pinches of salt do you need?

a)
48
b)
133 1/3
c)
28 1/3
d)
25
7.

 Evaluate (1/9) + (2/5) = 

a)
23/45
b)
3/14
c)
2/45
d)
23/14
8.

 Evaluate (1/9)⋅(1/9) = 

a)
1/81
b)
2/9
c)
2/81
d)
1/9
9.

Which of the following represents the smallest numerical value?

a)
12%
b)
1/20
c)
2/12
d)
0.0555555.......
10.

 Which of the following represents the largest numerical value?

a)
2.35
b)
23.5%
c)
2  3/5
d)
23/50
11.
This is any collection of mathematical symbols that represents an idea.
a)
Statement
b)
Solution
c)
Simplification
d)
Substitution
12.
This is any statement with the potential to represent a definite value (or values.)
a)
Expression
b)
Equation
c)
Inequality
d)
Solution
13.
This is a process that uses one or more numbers to produce another number or numbers according to defined rules. (Examples include addition, subtraction, multiplication, etc.)
a)
Operation
b)
Solution
c)
Relation
d)
Logical Value
14.
This is a letter that is used to represent a place in a statement whose value might change depending on the context. You can think of it as a “blank” that will get filled in.
a)
Variable
b)
Expression
c)
Inequality
d)
Operation
15.
This is replacing a symbol in a statement with an equivalent symbol or set of symbols.
...
However...it usually just means replacing a letter with a number.
a)
Substitution
b)
Simplification
c)
Solving
d)
Distribution
16.
This means determining the value of an expression.
a)
Evaluation
b)
Equation
c)
Expression
d)
Solving
17.
True or False: Evaluation is a type of simplification
a)
True
b)
False
18.
This is a statement that compares the value of two expressions.
a)
Relation
b)
Expression
c)
Integer
d)
Operation
19.
This is a relation that states that two expressions have the same value.
a)
Equation
b)
Inequality
c)
Expression
d)
Operation
20.
This is a relation that states that two expressions do not have the same value.
a)
Inequality
b)
Equation
c)
Expression
d)
Operation
21.
This is a value or set of values that, when substituted in for the variable(s) in a relation, make that relation true.
a)
Solution
b)
Equation
c)
Simplification
d)
Operation
22.
Fill in the blank: When _______________________, always use parentheses.
a)
Substituting
b)
Simplifying
c)
Solving
d)
Distributing
23.
Fill in the blank: Never operate with Percents. To work with a Percent, always convert it to a ___________________ first.
a)

Standard or fraction form

b)
Whole number
c)
Integer
d)
None of these
24.
When no operation symbol is seen between two symbols, the operation is assumed to be what?
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
25.
The sum of the side lengths of a plane figure (like a triangle or a square) is called the...
a)
Perimeter
b)
Area
c)
Volume
d)
Average side length
26.
What is the correct equation for "travel problems" like how far a car travels in a certain amount of time given a certain speed?
a)
d = rt
b)
d = fe
c)
I = Prt
d)
A = lw
27.
What is the correct equation to determine gas mileage?
a)
d = rt
b)
d = fe
c)
I = Prt
d)
A = lw
28.
What is the correct equation to determine simple Interest?
a)
d = rt
b)
d = fe
c)
I = Prt
d)
A = lw
29.
What is the correct equation to determine the area of a rectangle?
a)
d = rt
b)
d = fe
c)
I = Prt
d)
A = lw
30.
True or False: The equation A = lw can be used to find the area of any plane figure (such as a triangle or a square.)
a)
True
b)
False
31.
Consider the math work shown in the box to the right. What is the name of this procedure? 
a)
Simplifying
b)
Substituting
c)
Solving
d)
Distributing
32.
Which of the following numbers is an integer?
a)
1/3
b)
-12
c)
π
d)
20%
33.
Which of the following statements is a relation?
a)
3+2
b)
3+x
c)
3+x<5
d)
πr2
34.
Which of the following is a true statement about the expression 23 ?
a)
2 is called the base
b)
2 is called the "exponent"
c)
It evaluates to 9
d)
It is equivalent to 32
35.
Unit skills: There are twelve inches in a foot and three feet in a yard. How many cubic inches are there in seven cubic yards?
a)
252
b)
22
c)
326,592
d)
3,375
36.
Unit skills: You are planning a vacation to Mexico. One dollar is worth about six Pesos, the currency that is used in Mexico. A hotel room is offering a room for 420 pesos per night. How much is this price in dollars? 
a)
$70
b)
$2,520
c)
$426
d)
$414
37.
Round 5,721.8 to the nearest hundred. What is the result? 
a)
5,700
b)
6,000
c)
5,720
d)
5,722
38.
There are approximately 200 billion stars in the Milky Way Galaxy. Suppose that one in ten of these stars have planets. How many stars in the Milky Way have planets? 
a)
2 million
b)
2 billion
c)
20 billion
d)
200 million
39.
Tristan rode his bicycle for two hours. In that time he covered a distance of sixteen miles. What was his mean (average) speed? 
a)
32 mph
b)
8 mph
c)
14 mph
d)
18 mph
40.
You are on a vacation in Canada. The weatherman says the temperature tomorrow will be 35o C. What should you plan on wearing? Use the formula C=(5/9)(F-32).
a)
Eskimo gear
b)
Winter jacket
c)
Long-sleeved shirt
d)
Shorts and a t-shirt
41.
You put $600 in a bank account yielding 5% simple interest. How long would it take to earn $100 in interest from this account? 
a)
3 years exactly             
b)
3 years, 4 months
c)
3 years, 6 months
d)
4 years
42.
The equation to convert Celsius to Kelvin temperatures is
K = C + 273. 
The formula to convert Fahrenheit to Celsius is
C = (5/9)(F-32).
Use these two formulas to find which temperature below is the hottest.
a)
20 oC
b)
80 oF
c)
45 oC
d)
300 K
43.
A triangle has a base of 10 inches and an area of 40 in2. Which of the following is a true statement about this triangle? [Use your formula sheet.]
a)
It has a height of 8 inches
b)
It has a height of 4 inches
c)
It has a perimeter of 50 inches
d)
It has a perimeter of 18 inches
44.
Unit skills: Consider the table to the right from a record of NASCAR practices on the same track. Which driver had the slowest mean practice speed? 
a)
Jimmy Johnson
b)
Tony Stewart
c)
Kurt Bush
d)
Jeff Gordon
45.
This property says that
a(b + c) = ab + ac
a)
Distributive Property
b)
Commutative Property
c)
Associate Property
d)
Evaluate
46.
Work (steps) must be shown to receive credit in Algebra I.
a)
No, the teacher can read my mind.
b)
Yes, and if I do make a mistake, the teacher and I can see where I am not understanding something.
47.

True or False: Integers are the whole numbers and the negatives of whole numbers.

a)
True
b)
False
48.
Which of the following expressions is the correct translation of the statement: "The difference of a number t and 22" ?
a)
t - 22
b)
22 + t
c)
22t
d)
22/t
49.
Which of the following expressions is the correct translation of the statement: "The product of 8 and a number k" ?
a)
8 + k
b)
8 - k
c)
8/k
d)
8k
50.

Which of the following is the reciprocal of 1/8?

a)

8

b)

-1/8

c)

-8

d)

1