Download Algebra 1 Test 8 REVIEW - Milan C-2

Algebra 1 Test 8 REVIEW
1. A bookstore conducted a survey of the reading
preferences of its customers. The bar graph shows
the results. Explain why the graph may be
misleading.
Customer Reading Preferences
x ft
Number of
Customers
3000
5.5 ft
2000
10.4 ft
114.4 ft
1000
M ystery Science Romance Other
Fiction
11. A bag contains 3 red marbles and 5 blue marbles.
Find the probability of drawing a blue marble,
keeping it, and drawing another blue marble. Write
the probability as a fraction in simplest form.
2.
12. A road sign in Europe shows the distance between
two cities as 800 kilometers. If 1 kilometer equals
0.62 mile, what is the distance, in miles, between
the two cities?
3.
13. Find the difference
Simplify.
.
Solve.
4.
14.
15.
5.
16.
6. Factor
completely.
17.
18.
7.
19.
8.
20. Order the numbers below from least to greatest.
9. The formula
expresses Fahrenheit
temperature in terms of Celsius temperature. Find
the Celsius temperature when the Fahrenheit
temperature is 41°.
10. A monument casts a shadow 114.4 feet long. A
man who is 5.5 feet tall casts a shadow 10.4 feet
long. The triangle drawn with the monument and its
shadow is similar to the triangle drawn with the
man and his shadow. How tall, in feet, is the
monument?
4,
3
4
, –0.6,
10
5
21. Evaluate
for
and
22. Jason scores 10 points for each question answered
correctly on an exam. Write an algebraic expression
for the total points he will score if he answers n
questions correctly.
23. Determine the domain and the range of the relation
{(3, 8), (3, 2), (5, 2), (6, 1), (9, 1)}.
24. In a survey, participants were asked to choose their
favorite of 4 cereals. Health Grain Cereal Company
made the graph below to display the results of the
survey.
30. Write the first 4 terms of an arithmetic sequence
where
and the common difference
.
31. Determine whether the sequence below is an
arithmetic sequence.
–3, 1, 5, 9, . . .
a. Explain why the graph may be misleading.
b. What conclusion might be made from the
graph? Why might Health Grain have created
this graph?
c. Make a graph of the survey data that is not
misleading.
25. Solve for n:
.
26. Identify the domain and range of the function
shown in the graph.
If yes, find the common difference and the next two
terms.
32. At a bakery, bagels are $3 and muffins are $4. Let x
be the number of bagels sold. Let y be the number
of muffins sold. The equation
shows
that the bakery made $72 selling bagels and
muffins. Find the intercepts and explain what each
means.
2
33. Astronomers measure distances within our solar
system in astronomical units (AU). One AU is
approximately 149,600,600 km and is also known
as the distance from Earth to the Sun. Mercury is
5.79  107 km from the Sun. What is this distance
in AU? Round your answer to the nearest tenth.
O
34. The figures below are similar. Find
y
4
–2
y = 2 x – 2
2
4
6
x
–2
–4
27. Which is the better buy: 4 lbs of tomatoes for $3.76
or 5 lbs for $4.65?
28. The ratio of men to women in an exercise class is
3 : 4. In all, the class has 14 students. How many
men and how many women are in the class?
29. The spinner below is spun twice. Make a tree
diagram to show all possible outcomes. What is the
probability of spinning a 1 and a 2 in either order?
.
A
55º
9
5.2
C
B
D
2.6
4.5
35º
F
E
35. Find the product
answer in scientific notation.
. Write the
36. Write 0.0000012 in scientific notation.
37. Find the prime factorization of 44.
38. Find the GCF of
.
39. A square tile has a side length of 4x inches. What is
the area of the tile?
40. A square photograph has a side length of
7n centimeters. What is the area of the photograph?
Algebra 1 Test 8 REVIEW
Answer Section
1. ANS:
Sample: The large increments of the scale make the data values appear to be closer than they really are.
REF: Lesson 27: Identifying Misleading Representations of Data
2. ANS:
REF: Lesson 18: Combining Like Terms
3. ANS: –729
REF: Lesson 11: Multiplying and Dividing Real Numbers
4. ANS:
REF: Lesson 32: Simplifying and Evaluating Expressions with Integer and Zero Exponents
5. ANS:
REF: Lesson 32: Simplifying and Evaluating Expressions with Integer and Zero Exponents
6. ANS:
REF: Lesson 38: Simplifying Expressions Using the GCF
7. ANS:
REF: Lesson 39: Using the Distributive Property to Simplify Rational Expressions
8. ANS:
REF: Lesson 40: Simplifying and Evaluating Expressions Using the Power Rule for Exponents
9. ANS: 5
REF: Lesson 29: Solving Literal Equations
10. ANS: 60.5
REF: Lesson 36: Writing and Solving Proportions
11. ANS: 5/14
REF: Lesson 33: Finding the Probability of Independent and Dependent Events
12. ANS: 496
REF: Lesson 8: Using Unit Analysis to Convert Measures
13. ANS: –1.9
REF: Lesson 6: Subtracting Real Numbers
14. ANS:
REF: Lesson 28: Solving Equations with Variables on Both Sides
15. ANS:
REF: Lesson 26: Solving Multi-Step Equations
16. ANS:
REF: Lesson 24: Solving Decimal Equations
17. ANS:
REF: Lesson 26: Solving Multi-Step Equations
18. ANS:
3
n=
8
REF: Lesson 28: Solving Equations with Variables on Both Sides
19. ANS:
REF: Lesson 31: Using Rates, Ratios, and Proportions
20. ANS:
3 4
–0.6,
, ,4
10 5
REF: Lesson 10: Adding and Subtracting Real Numbers
21. ANS: –198
REF: Lesson 9: Evaluating and Comparing Algebraic Expressions
22. ANS:
REF: Lesson 17: Translating Between Words and Algebraic Expressions
23. ANS:
domain is {3, 5, 6, 9}; range is {1, 2, 8}.
REF: Lesson 25: Differentiating Between Relations and Functions
24. ANS:
a. Sample: The scale does not start at zero, so the heights of the bars vary greatly, even though the data values are
very close to each other.
b. Sample: The graph seems to show that people prefer Health Grain to other brands.
c.
Results of Cereal Survey
100
80
60
40
20
Health Grain
A
B
C
Brand
REF: Lesson 27: Identifying Misleading Representations of Data
25. ANS:
3
n= m+4
2
REF: Lesson 29: Solving Literal Equations
26. ANS:
domain is
; range is
REF: Lesson 30: Graphing Functions
27. ANS:
$0.94 > $0.93; 5 lbs for $4.65 is the better buy.
REF: Lesson 31: Using Rates, Ratios, and Proportions
28. ANS:
6 men and 8 women
REF: Lesson 31: Using Rates, Ratios, and Proportions
29. ANS:
First
Second
Spin
Spin
1
1
2
3
1
2
2
3
1
3
2
3
The probability of spinning a 1 and a 2 in either order is
2
.
9
REF: Lesson 33: Finding the Probability of Independent and Dependent Events
30. ANS:
–1, 4, 9, and 14
REF: Lesson 34: Recognizing and Extending Arithmetic Sequences
31. ANS:
Yes, arithmetic sequence; common difference is 4; next two terms are 13 and 17
REF: Lesson 34: Recognizing and Extending Arithmetic Sequences
32. ANS:
The x-intercept is 24. The y-intercept is 18. The x-intercept shows that if no muffins were sold, 24 bagels were
sold. The y-intercept shows that if no bagels were sold, 18 muffins were sold.
REF: Lesson 35: Locating and Using Intercepts
33. ANS: 0.4
REF: Lesson 37: Using Scientific Notation
34. ANS:
55°
REF: Lesson 36: Writing and Solving Proportions
35. ANS:
REF: Lesson 37: Using Scientific Notation
36. ANS:
REF: Lesson 37: Using Scientific Notation
37. ANS:
REF: Lesson 38: Simplifying Expressions Using the GCF
38. ANS:
REF: Lesson 38: Simplifying Expressions Using the GCF
39. ANS:
square inches
REF: Lesson 40: Simplifying and Evaluating Expressions Using the Power Rule for Exponents
40. ANS:
square centimeters
REF: Lesson 40: Simplifying and Evaluating Expressions Using the Power Rule for Exponents