Name: ________________________
Class: ___________________
Date: __________
Algebra 1 Chapter 8 Practice Test
Simplify the expression.
____
____
1. ( −2.7 )
a. 0
2. (4)
____
____
−
1
16
−3
3. 12 ⋅ 12
7
a. 36
8
10
⋅ 12
–1
c.
1
d.
–2.7
b.
16
c.
1
16
d.
–8
b.
1728
c.
1
d.
12
7
b.
5k
11
c.
6k
d.
6k
24
b.
2k
8
c.
k
d.
k
b.
6x
4
c.
12x
8
d.
81x
2
b.
21
30
c.
100
7
d.
1000
343
c.
9 ( −6 )
d.
1
144
c.
8.67 × 10
d.
8.67 × 10
c.
90,000
d.
360
0
2 4
a. k
ÊÁ 3x ˜ˆ 4
˜˜
6. ÁÁÁÁ
˜
ÁË 2 ˜˜¯
4
____
11
5. (k )
81x
16
3
ÁÊ 7 ˜ˆ˜
˜˜
7. ÁÁÁÁ
ÁË 10 ˜˜¯
343
a.
1000
a.
____
7
3
4. 2k ⋅ 3k
24
a. 5k
6
____
b.
−2
a.
____
0
2
8. Evaluate 9x y
a.
324
−2
for x = –3 and y = 2.
1
b. 20
4
16
4
0
8
4
Write the number in scientific notation.
____
9. 8,670,000,000
10
a. 0.867 × 10
b.
86.7 × 100
8
9
Write the number in standard notation.
4
____ 10. 9 × 10
a. 9,000
b.
90
4
1
ID: A
Name: ________________________
ID: A
Simplify the expression. Write the answer using scientific notation.
Ê
12 ˆ
____ 11. 8 ÁÁÁÁ 8.8 × 10 ˜˜˜˜
Ë
¯
12
24
13
13
a. 70.4 × 10
b. 70.4 × 10
c. 7.04 × 10
d. 1.68 × 10
____ 12. Astronomers measure large distances in light-years. One light-year is the distance that light can travel in
one year, or approximately 5,880,000,000,000 miles. Suppose a star is 13.6 light-years from Earth. In
scientific notation, how many miles away is it?
12
13
a. 1.36 × 10 miles
c. 7.9968 × 10 miles
12
13
b. 5.88 × 10 miles
d. 5.88 × 10 miles
5
____ 13. Last year a large trucking company delivered 8.0 × 10 tons of goods with an average value of $30,000
per ton. What was the total value of the goods delivered? Write the answer in scientific notation.
9
11
a. 2.4 × 10 dollars
c. 2.4 × 10 dollars
12
10
b. 2.4 × 10 dollars
d. 2.4 × 10 dollars
8
____ 14. Radio signals travel at a rate of 3 × 10 meters per second. How many seconds will it take for a radio
signal to travel from a satellite to the surface of the Earth if the satellite is orbiting at a height of
7
3.6 × 10 meters?
16
a. 8.3 seconds
c. 1.08 × 10 seconds
−1
15
b. 1.2 × 10 seconds
d. 10.8 × 10 seconds
Evaluate the function rule for the given value.
x
____ 15. y = 15 ⋅ 3 for x = –3
5
5
5
a.
b.
c.
d. –135
27
3
9
____ 16. Suppose a population of 250 crickets doubles in size every 6 months. How many crickets will there be
after 2 years?
a. 4,000 crickets
c. 2,000 crickets
b. 6,000 crickets
d. 1,000 crickets
2
Name: ________________________
ID: A
Match the function rule with the graph of the function.
____ 17. y = 10 ⋅ 3
a.
x
c.
b.
d.
Find the balance in the account.
____ 18. $3,800 principal earning 2%, compounded quarterly, after 7 years
a. $4,369.52
c. $64,926.56
b. $4,365.01
d. $108,528.00
19. Suppose the population of a town is 2,700 and is growing 4% each year.
a. Write an equation to model the population growth.
b. Predict the population after 12 years.
20. Simplify. Show your work.
(3m
−1
4 −2
3
−5 4
n ) (2m n )
3
ID: A
Algebra 1 Chapter 8 Practice Test
Answer Section
1. ANS: C
PTS: 1
DIF: L1
REF: 8-1 Zero and Negative Exponents
OBJ: 8-1.1 Zero and Negative Exponents
STA: CAT5.LV19.50 | CAT5.LV19.51 | CAT5.LV19.52 | IT.LV15.CP | IT.LV15.PS | S9.TSK1.NS |
S10.TSK1.NS | TV.LV19.10 | TV.LV19.52 | TV.LVALG.53
TOP: 8-1 Example 1
KEY: zero as an exponent | negative exponent | simplfying a power
2. ANS: C
PTS: 1
DIF: L1
REF: 8-1 Zero and Negative Exponents
OBJ: 8-1.1 Zero and Negative Exponents
STA: CAT5.LV19.50 | CAT5.LV19.51 | CAT5.LV19.52 | IT.LV15.CP | IT.LV15.PS | S9.TSK1.NS |
S10.TSK1.NS | TV.LV19.10 | TV.LV19.52 | TV.LVALG.53
TOP: 8-1 Example 1
KEY: zero as an exponent | negative exponent | simplfying a power
3. ANS: D
PTS: 1
DIF: L1
REF: 8-3 Mulitplication Properties of Exponents
OBJ: 8-3.1 Multiplying Powers
STA: CAT5.LV19.50 | CAT5.LV19.51 | CAT5.LV19.52 | IT.LV15.CP | IT.LV15.DP | S9.TSK1.NS |
S10.TSK1.NS | TV.LV19.10 | TV.LV19.11 | TV.LV19.52 | TV.LVALG.53
TOP: 8-3 Example 1
KEY: multiplying powers with the same base | exponential expression | simplifying an exponential
expression
4. ANS: C
PTS: 1
DIF: L1
REF: 8-3 Mulitplication Properties of Exponents
OBJ: 8-3.1 Multiplying Powers
STA: CAT5.LV19.50 | CAT5.LV19.51 | CAT5.LV19.52 | IT.LV15.CP | IT.LV15.DP | S9.TSK1.NS |
S10.TSK1.NS | TV.LV19.10 | TV.LV19.11 | TV.LV19.52 | TV.LVALG.53
TOP: 8-3 Example 2
KEY: exponential expression | simplifying an exponential expression | multiplying powers with the same
base
5. ANS: D
PTS: 1
DIF: L1
REF: 8-4 More Multiplication Properties of Exponents
OBJ: 8-4.1 Raising a Power to a Power
STA: CAT5.LV19.50 | CAT5.LV19.51 | CAT5.LV19.52 | IT.LV15.CP | IT.LV15.DP | S9.TSK1.NS |
S10.TSK1.NS | TV.LV19.10 | TV.LV19.11 | TV.LV19.52 | TV.LVALG.53
TOP: 8-4 Example 1
KEY: raising a power to a power | exponential expression | simplifying an exponential expression
6. ANS: A
PTS: 1
DIF: L1
REF: 8-5 Division Properties of Exponents
OBJ: 8-5.2 Raising a Quotient to a Power
STA: CAT5.LV19.50 | CAT5.LV19.51 | CAT5.LV19.52 | IT.LV15.CP | IT.LV15.DP | S9.TSK1.NS |
S10.TSK1.NS | TV.LV19.10 | TV.LV19.11 | TV.LV19.52 | TV.LVALG.53
TOP: 8-5 Example 3
KEY: raising a quotient to a power | exponential expression
7. ANS: A
PTS: 1
DIF: L1
REF: 8-5 Division Properties of Exponents
OBJ: 8-5.2 Raising a Quotient to a Power
STA: CAT5.LV19.50 | CAT5.LV19.51 | CAT5.LV19.52 | IT.LV15.CP | IT.LV15.DP | S9.TSK1.NS |
S10.TSK1.NS | TV.LV19.10 | TV.LV19.11 | TV.LV19.52 | TV.LVALG.53
TOP: 8-5 Example 3
KEY: raising a quotient to a power | exponential expression
1
ID: A
8. ANS: B
PTS: 1
DIF: L1
REF: 8-1 Zero and Negative Exponents
OBJ: 8-1.2 Evaluating Exponential Expressions
STA: CAT5.LV19.50 | CAT5.LV19.51 | CAT5.LV19.52 | IT.LV15.CP | IT.LV15.PS | S9.TSK1.NS |
S10.TSK1.NS | TV.LV19.10 | TV.LV19.52 | TV.LVALG.53
TOP: 8-1 Example 3
KEY: negative exponent | simplifying an exponential expression | evaluating exponential expression
9. ANS: C
PTS: 1
DIF: L1
REF: 8-2 Scientific Notation
OBJ: 8-2.1 Writing Numbers in Scientific and Standard Notations
STA: NAEP N1d | NAEP N1f | CAT5.LV19.50 | CAT5.LV19.51 | IT.LV15.CP | IT.LV15.DP |
S9.TSK1.NS | S10.TSK1.NS | TV.LV19.10 | TV.LV19.11 | TV.LV19.52 | TV.LVALG.53
TOP: 8-2 Example 2
KEY: scientific notation
10. ANS: C
PTS: 1
DIF: L1
REF: 8-2 Scientific Notation
OBJ: 8-2.1 Writing Numbers in Scientific and Standard Notations
STA: NAEP N1d | NAEP N1f | CAT5.LV19.50 | CAT5.LV19.51 | IT.LV15.CP | IT.LV15.DP |
S9.TSK1.NS | S10.TSK1.NS | TV.LV19.10 | TV.LV19.11 | TV.LV19.52 | TV.LVALG.53
TOP: 8-2 Example 3
KEY: scientific notation | standard notation
11. ANS: C
PTS: 1
DIF: L1
REF: 8-2 Scientific Notation
OBJ: 8-2.2 Using Scientific Notation
STA: NAEP N1d | NAEP N1f | CAT5.LV19.50 | CAT5.LV19.51 | IT.LV15.CP | IT.LV15.DP |
S9.TSK1.NS | S10.TSK1.NS | TV.LV19.10 | TV.LV19.11 | TV.LV19.52 | TV.LVALG.53
TOP: 8-2 Example 6
KEY: scientific notation | multiply a number using scientific notation
12. ANS: C
PTS: 1
DIF: L2
REF: 8-2 Scientific Notation
OBJ: 8-2.2 Using Scientific Notation
STA: NAEP N1d | NAEP N1f | CAT5.LV19.50 | CAT5.LV19.51 | IT.LV15.CP | IT.LV15.DP |
S9.TSK1.NS | S10.TSK1.NS | TV.LV19.10 | TV.LV19.11 | TV.LV19.52 | TV.LVALG.53
TOP: 8-2 Example 6
KEY: scientific notation | multiply a number using scientific notation | word problem | problem solving
13. ANS: D
PTS: 1
DIF: L2
REF: 8-3 Mulitplication Properties of Exponents
OBJ: 8-3.2 Working With Scientific Notation
STA: CAT5.LV19.50 | CAT5.LV19.51 | CAT5.LV19.52 | IT.LV15.CP | IT.LV15.DP | S9.TSK1.NS |
S10.TSK1.NS | TV.LV19.10 | TV.LV19.11 | TV.LV19.52 | TV.LVALG.53
KEY: scientific notation | word problem | problem solving | multiply a number using scientific notation
14. ANS: B
PTS: 1
DIF: L2
REF: 8-5 Division Properties of Exponents
OBJ: 8-5.1 Dividing Powers With the Same Base
STA: CAT5.LV19.50 | CAT5.LV19.51 | CAT5.LV19.52 | IT.LV15.CP | IT.LV15.DP | S9.TSK1.NS |
S10.TSK1.NS | TV.LV19.10 | TV.LV19.11 | TV.LV19.52 | TV.LVALG.53
TOP: 8-5 Example 2
KEY: dividing powers with the same base | exponential expression | scientific notation | problem solving
| word problem
15. ANS: C
PTS: 1
DIF: L1
REF: 8-7 Exponential Functions
OBJ: 8-7.1 Evaluating Exponential Functions
STA: NAEP A1e | CAT5.LV19.50 | CAT5.LV19.54 | IT.LV15.PS | IT.LV15.AM | S9.TSK1.NS |
S10.TSK1.NS | TV.LV19.52 | TV.LVALG.56
TOP: 8-7 Example 1
KEY: exponential function | function
2
ID: A
16. ANS: A
PTS: 1
DIF: L2
REF: 8-7 Exponential Functions
OBJ: 8-7.1 Evaluating Exponential Functions
STA: NAEP A1e | CAT5.LV19.50 | CAT5.LV19.54 | IT.LV15.PS | IT.LV15.AM | S9.TSK1.NS |
S10.TSK1.NS | TV.LV19.52 | TV.LVALG.56
TOP: 8-7 Example 2
KEY: exponential function | function | problem solving | word problem
17. ANS: D
PTS: 1
DIF: L1
REF: 8-7 Exponential Functions
OBJ: 8-7.2 Graphing Exponential Functions
STA: NAEP A1e | CAT5.LV19.50 | CAT5.LV19.54 | IT.LV15.PS | IT.LV15.AM | S9.TSK1.NS |
S10.TSK1.NS | TV.LV19.52 | TV.LVALG.56
TOP: 8-7 Example 3
KEY: exponential function | graphing | arithmetic sequence
18. ANS: A
PTS: 1
DIF: L1
REF: 8-8 Exponential Growth and Decay
OBJ: 8-8.1 Exponential Growth
STA: NAEP A2h | CAT5.LV19.50 | CAT5.LV19.54 | IT.LV15.PS | IT.LV15.AM | S9.TSK1.NS |
S10.TSK1.NS | TV.LV19.18 | TV.LV19.52 | TV.LVALG.56
TOP: 8-8 Example 3
KEY: exponential growth | growth factor | problem solving | word problem | compound interest
19. ANS:
x
y = 2, 700 ⋅ 1.04 ; about 4,323 people
PTS: 1
DIF: L1
REF: 8-8 Exponential Growth and Decay
OBJ: 8-8.1 Exponential Growth
STA: NAEP A2h | CAT5.LV19.50 | CAT5.LV19.54 | IT.LV15.PS | IT.LV15.AM | S9.TSK1.NS |
S10.TSK1.NS | TV.LV19.18 | TV.LV19.52 | TV.LVALG.56
TOP: 8-8 Example 1
KEY: exponential growth | growth factor | problem solving | word problem | multi-part question
20. ANS:
[4]
(3m
−1
4 −2
3
−5 4
4
12
n ) (2m n )
2
−2
= 3 m n
−8
⋅2 m
4
2
12
⋅n n
−2
4
14
⋅n
−28
= (3 )(2 )m
ÊÁ 1
= ÁÁÁÁ
ÁË 9
[3]
[2]
[1]
−20
−2
= (3 )(2 )m m
=
n
−8
−20
ˆ˜
˜˜ (16)m 14 ⋅ 1
˜˜
28
˜¯
n
16m
14
28
9n
one computational error
incorrect application of a law of exponents OR two computational errors
more than two computational errors
PTS: 1
DIF: L2
REF: 8-4 More Multiplication Properties of Exponents
OBJ: 8-4.2 Raising a Product to a Power
STA: CAT5.LV19.50 | CAT5.LV19.51 | CAT5.LV19.52 | IT.LV15.CP | IT.LV15.DP | S9.TSK1.NS |
S10.TSK1.NS | TV.LV19.10 | TV.LV19.11 | TV.LV19.52 | TV.LVALG.53
KEY: raising a product to a power | exponents | multiplying powers with the same base | extended
response | rubric-based question
3