Download Unit 1 Exam (H)

Chicago High School for the Arts
Algebra 1 (Honors)
Name ______________________________________________________________ Date _____________________________
Unit 1 Exam – The Language of Algebra
**Please remember to SHOW ALL WORK in order to receive full credit, and circle or box your final answer.
Focus
Standard
C.4.1
Description
Solve routine two-step or three-step arithmetic problems involving
concepts such as rate and proportion, tax added, percentage off, and
computing with a given average
Exhibit knowledge of elementary number concepts including
rounding, the ordering of decimals, pattern identification, absolute
value, primes and greatest common factor
Evaluate algebraic expressions by substituting integers for
unknown quantities
Compute the area and perimeter of triangles and rectangles in
simple problems
Find and use least common multiple
C.4.2
Order fractions
3
C.5.1
Apply number properties involving prime factorization
3
C.5.2
Apply number properties involving even/odd numbers and
factors/multiples
C.5.3
2
Apply number properties involving positive/negative numbers
A.3.1
REVIEW
C.3.1
D.3.1
G.3.1
PRIMARY
SECONDARY
Points
Percent
# Correct
# of Points
13
6
4
3
5
Grade
38
Solve routine two-step or three-step arithmetic problems… [A.3.1] _______________________________
**Please show EACH STEP in order to receive full credit!
1. A 5-pound bag of onions costs $1.95 at Grocery Garden. A 2-pound bag of the same type of
onions costs $0.88 at Food Fair. How much cheaper, per pound, are the Grocery Garden
onions than the Food Fair onions?
a. $0.05
b. $0.15
c. $0.21
d. $0.54
e. $1.07
2. Simplify the following: 52 +12 ¸[4 - (4 + 6)]
a. 7
b. 17
c. 22
d. 26
e. 30
Chicago High School for the Arts
Algebra 1 (Honors)
3. (16  4)  3  7  2  5  ?
a. – 1
b.
0
c.
1
d.
4
e.
45
Exhibit knowledge of elementary number concepts including rounding, the ordering of
decimals, pattern identification, absolute value, primes and greatest common factor [C.3.1]
4.
(Patterns) The second term of an arithmetic sequence is –11, and the third term is –38.
What is the first term?
(Note: In an arithmetic sequence, consecutive terms differ by the same amount.)
a. – 27
b.
1
11
c.
d.
e.
11
16
27
5. (Patterns) The decimal representation of 6/7 repeats and can be written as
0.857142857142… what is the 100th digit to the right of the decimal point in the decimal
representation?
a.
b.
c.
d.
e.
1
2
4
5
8
5. (Primes) Which of the following lists gives the 3 largest prime numbers that are less than
60?
a.
b.
c.
d.
e.
2, 3, and 5
3, 5, and 7
37, 47, and 59
47, 51, and 57
47, 53, and 59
6. (GCF) What is the greatest common factor of 45, 60, and 90?
a.
b.
c.
d.
e.
3
5
15
30
180
Chicago High School for the Arts
Algebra 1 (Honors)
Evaluate algebraic expressions by substituting integers for unknown quantities [D.3.1] _______
7. Evaluate ac  bc for a  2 , b  6 and c  3 .
a. – 24
b. – 12
c.
3
d.
12
e.
24
8. The book Fahrenheit 451 by Ray Bradbury is about a society in which all books are banned
and burned. The title of the book gives the approximate temperature at which paper starts
to burn. Since Fahrenheit, F, and Celsius, C, temperatures are related by the formula
C
5
( F  32) , which of the following would make an equivalent title for the book?
9
a.
b.
c.
d.
e.
Celsius 219
Celsius 233
Celsius 268
Celsius 754
Celsius 844
Compute the area and perimeter of triangles and rectangles in simple problems [G.3.1] _______
9. The perimeter of a square is 16 centimeters. What is the area in square centimeters?
a.
b.
c.
d.
e.
16
20
28
32
64
10. What is the area of a triangle where the length of the base is 9 inches, and the height is 14
inches?
a. 23 inches
b. 37 inches
c. 45 inches
d. 63 inches
e. 126 inches
Find and use least common multiple [C.4.1] ___________________________________________________________
11. What is the least common multiple of 5, 24, and 36?
a.
4,320
b.
360
c.
180
d.
120
e.
60
Chicago High School for the Arts
Algebra 1 (Honors)
12. Dena ran 2
4
1
miles on Monday and 3 miles on Tuesday. The total distance, in miles, Dena
5
3
ran during those 2 days is within which of the following ranges?
1
2
and less than 5
2
3
2
b. At least 5 and less than 6
3
1
c. At least 6 and less than 6
3
1
1
d. At least 6 and less than 6
3
2
1
2
e. At least 6 and less than 6
2
3
a. At least 5
Order fractions [C.4.2] _____________________________________________________________________________________
13. What fraction lies exactly halfway between
a.
b.
c.
d.
e.
2
3
and ?
3
4
3
5
5
6
7
12
9
16
17
24
14. Write the following fractions in order from smallest to largest.
0
2
3

a.

3
1
1
2 5
,  ,  , 0, ,
4
3
8
3 6
b.

1
1
3
2 5
,  ,  , 0, ,
8
3
4
3 6
c.
5 2
1
1
3
, ,0,  ,  , 
6 3
8
3
4
d. 0 , 
e.

3
1
1 2 5
, , , ,
4
3
8 3 6
3
1
1
5 2
,  ,  , 0, ,
4
3
8
6 3
1
8
5
6

3
4

1
3
Chicago High School for the Arts
Algebra 1 (Honors)
Apply number properties involving prime factorization [C.5.1] _____________________________________
15. If z = (5)(11)(28)(38), what is the greatest prime factor of z?
a. 5
b. 7
c. 11
d. 13
e. 19
16. If a is the greatest prime factor of 52 and b is the greatest prime factor of 72, what is the
value of ab?
a.
6
b. 16
c. 26
d. 39
e. 117
Apply number properties involving even/odd numbers and factors/multiples [C.5.2] and
Apply number properties involving positive/negative numbers [C.5.3] ___________________________
17. The product of a positive odd number, a negative even number, and a negative odd number
will be:
a. a negative even number
b. a negative odd number
c. a positive prime number
d. a positive even number
e. a positive odd number
18. The sum of a negative even number and a negative odd number will be:
a. a negative even number
b. a negative odd number
c. a negative prime number
d. a positive even number
e. a positive odd number
Almost done… Please go through the checklist below before submitting your exam.
 Take a deep breath.
 Retry and double check the problems that you had trouble with.
 Carefully check EVERY problem on your test. Try to show all your work. Keep an eye out for
careless mistakes.
 Reset and close your calculator.
 Raise your hand to let me know you are done!
Chicago High School for the Arts
Algebra 1 (Honors)
Answer Key:
1. A
2. C
3. D
4. A
5. B
6. E
7. C
8. A
9. B
10. A
11. B
12. B
13. C
14. A
15. E
16. E
17. B
18. E