Download Chicago High School for the Arts Algebra 1 (Honors) Name ______

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
Solve multistep arithmetic problems that involve planning or
converting units of measure
Find and use least common multiple
C.4.2
Order fractions
3
C.4.5
Work with squares and square roots of numbers
2
C.5.1
Apply number properties involving prime factorization
1
C.5.2
Apply number properties involving even/odd numbers and
factors/multiples
C.5.3
1
Apply number properties involving positive/negative numbers
A.3.1
REVIEW
C.3.1
D.3.1
G.3.1
A.4.1
PRIMARY
SECONDARY
Points
Percent
# Correct
# of Points
6
8
7
3
5
4
Grade
40
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: 5 2  (12  4)  4  6
a. 9
b. 31
c. 36
d. 51
e. 66
Chicago High School for the Arts
Algebra 1 (Honors)
Exhibit knowledge of elementary number concepts including rounding, the ordering of
decimals, pattern identification, absolute value, primes and greatest common factor [C.3.1]
3.
(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
4. (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. (Absolute Value)  3  7  16  ?
a. – 12
b. – 6
c.
6
d.
12
e.
26
6. (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
7. (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] _______
8. Evaluate ac  bc for a  2 , b  6 and c  3 .
a. – 24
b. – 12
c.
3
d.
12
e.
24
9. 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] _______
10. 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
11. 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
Solve multistep arithmetic problems that involve planning or converting units of measure [A.4.1]
12. Issa bought 2 cases of 12-ounce cans of soda. Each case contained 24 cans. Issa could have
bought the same amount of soda by buying how many 16-ounce bottles of soda?
a.
b.
c.
d.
e.
8
18
32
36
48
Chicago High School for the Arts
Algebra 1 (Honors)
13. Andre has a rectangular garden in his backyard. He is preparing to put fencing along the
edge of the garden, which is 12 feet by 10 feet. One long side of the garden is along his
house, so he will only need to fence 3 sides. How many feet of fencing will Andre need?
a.
b.
c.
d.
e.
22
32
34
44
120
Find and use least common multiple [C.4.1] ___________________________________________________________
14. What is the least common multiple of 5, 24, and 36?
a. 4,320
b.
360
c.
180
d.
120
e.
60
15. 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] _____________________________________________________________________________________
16. What fraction lies exactly halfway between
a.
b.
c.
d.
e.
3
5
5
6
7
12
9
16
17
24
2
3
and ?
3
4
Chicago High School for the Arts
Algebra 1 (Honors)
17. 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.

1
8
5
6

3
4

1
3
3
1
1 2 5
, , , ,
4
3
8 3 6
3
1
1
5 2
,  ,  , 0, ,
4
3
8
6 3
Work with squares and square roots of numbers [C.4.5] _____________________________________________
18. Which of the following represents the product of 2 perfect squares?
a.
b.
c.
d.
e.
99
810
1100
2536
6400
19. What is the square root of 36c 2 d 4 ?
a.
b.
c.
d.
e.
6c 2 d 4
6cd 2
18c 2 d 4
18cd 2
36cd 4
Apply number properties involving prime factorization [C.5.1] _____________________________________
20. If z = (5)(11)(28)(38), what is the greatest prime factor of z?
a. 5
b. 7
c. 11
d. 13
e. 19
Chicago High School for the Arts
Algebra 1 (Honors)
Apply number properties involving even/odd numbers and factors/multiples [C.5.2] and
Apply number properties involving positive/negative numbers [C.5.3] ___________________________
21. 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
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 your SCANTRON. Make sure there is an answer bubbled for EVERY question.
 Carefully check EVERY problem on your test. Try to show all your work. Keep an eye out for
careless mistakes.
 Flip over your test and SCANTRON.
 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. D
3. D
4. A
5. B
6. E
7. C
8. A
9. B
10. A
11. D
12. D
13. B
14. B
15. C
16. A
17. E
18. E
19. B
20. E