5. Which equation represents the line that
passes through the point at ("1, 4) and has
a slope of "2? (Lesson 5-5)
Part 1 Multiple Choice
Record your answers on the answer sheet
provided by your teacher or on a sheet of
paper.
1. A basketball team scored the following points
during the first five games of the season:
70, 65, 75, 70, 80. During the sixth game,
they scored only 30 points. Which of these
measures changed the most as a result of the
sixth game? (Lessons 2-2 and 2-5)
A
mean
B
median
C
mode
D
They all changed the same amount.
2. A machine produces metal bottle caps. The
number of caps it produces is proportional to
the number of minutes the machine operates.
The machine produces 2100 caps in 60 minutes.
How many minutes would it take the machine
to produce 5600 caps? (Lesson 2-6)
A
35
B
58.3
C
93.3
D
A
y ! "2x " 2
B
y ! "2x $ 2
C
y ! "2x $ 6
D
y ! "2x $ 7
6. Mr. Puram is planning an addition to the
school library. The budget is $7500. Each
bookcase costs $125, and each set of table and
chairs costs $550. If he buys 4 sets of tables and
chairs, which inequality shows the number of
bookcases b he can buy? (Lesson 6-6)
A
4(550) $ 125b % 7500
B
125b % 7500
C
4(550 $ 125)b % 7500
D
4(125) $ 550b % 7500
7. Sophia and Allie went shopping and spent
$122 altogether. Sophia spent $25 less than
twice as much as Allie. How much did Allie
spend? (Lesson 7-2)
A
$39
B
$49
C
$53
D
$73
160
8. The product of 2x3 and 4x4 is (Lesson 8-1)
3. The odometer on Juliana’s car read 20,542 miles
when she started a trip. After 4 hours of driving,
the odometer read 20,750 miles. Which
equation can be used to find r, her average
rate of speed for the 4 hours? (Lesson 3-1)
A
r ! 20,750 " 20,542
B
r ! 4(20,750 " 20,542)
C
D
y
(Lesson 5-4)
C
y ! ##x $ 5
D
y ! "5x " 5
1
5
470 Chapter 8 Polynomials
6x12.
C
6x7.
D
8x7.
"5
B
"4
C
4
D
5
A
2x2 " 2x $ 4.
B
2x2 " 6x $ 4.
C
3x2 " 6x $ 6.
D
4x2 " 6x $ 6.
Test-Taking Tip
1
5
y ! "##x $ 1
y ! "5x $ 1
B
10. When x2 " 2x $ 1 is subtracted from
3x2 " 4x $ 5, the result will be (Lesson 8-5)
20,750
r ! ##
4
20,750 " 20,542
r ! ##
4
B
8x12.
9. If 0.00037 is expressed as 3.7 & 10n, what is
the value of n? (Lesson 8-3)
A
4. Which equation best
describes the graph?
A
A
x
O
Question 5
When you write an equation, check that the given values
make a true statement. For example, in Question 5,
substitute the values of the coordinates ("1, 4) into your
equation to check.
Preparing for Standardized Tests
For test-taking strategies and more
practice, see pages 867– 884.
Part 2 Short Response/Grid In
Record your answers on the answer sheet
provided by your teacher or on a sheet of
paper.
11. Find the 15th term in the arithmetic sequence
"20, "11, "2, 7, … . (Lesson 4-7)
12. Write a function that includes all of the
ordered pairs in the table. (Lesson 4-8)
x
"3
"1
1
3
4
y
12
4
"4
"12
"16
Part 3 Extended Response
Record your answers on a sheet of paper.
Show your work.
21. The length of a spring varies directly with
the amount of weight attached to it. When a
weight of 8 grams is attached, the spring
stretches to 20 centimeters. (Lesson 5-2)
a. Write an equation that relates the
weight x and the length y of the spring.
b. Find the number of grams of a weight
that stretches a spring 35 centimeters.
13. Find the y-intercept of the line represented
by 3x " 2y $ 8 ! 0. (Lesson 5-4)
22. Use the rectangular prism below to solve
the following problems. (Lessons 8-1 and 8-7)
14. Graph the solution of the linear inequality
3x " y % 2. (Lesson 6-6)
m"4
15. Write the area of the triangle as a monomial.
(Lesson 8-1)
3m ! 3
m"1
a. Write a polynomial expression that
represents the surface area of the top of
the prism.
2 4
6x y
b. Write a polynomial expression that
represents the surface area of the front of
the prism.
2
5x y
r5s2t"3
16. Simplify #
#. (Lesson 8-2)
r"4s5t"1
c. Write a polynomial expression that
represents the volume of the prism.
17. Evaluate (9.4 & 1012)(7.5 & 10"5). Express
your result in scientific and standard
notation. (Lesson 8-3)
d. If m ! 2 centimeters, then what is the
volume of the prism?
3x2
18. Let P !
" 2x " 1 and Q !
Find P $ Q. (Lesson 8-5)
"x2
$ 2x " 2.
19. Find (x2 $ 1)(x " 3). (Lesson 8-7)
20. To find the amount of force being applied
on an object, multiply the mass of the
object times its acceleration when the force
is applied. Suppose a couch that weighs
(x $ 9) kilograms is being accelerated at a
rate of (x " 4) meters per second squared.
Find the amount of force being applied to
the couch. (Lesson 8-8)
www.algebra1.com/standardized_test
23. Two cars leave at the same time and both
drive to Nashville. The cars’ distance from
Knoxville, in miles, can be represented by
the two equations below, where t represents
time in hours. (Lesson 8-5)
Car A: A ! 65t $ 10
Car B: B ! 55t $ 20
a. Which car is faster? Explain.
b. How far did Car B travel after 2 hours?
c. Find an expression that models the
distance between the two cars.
1
d. How far apart are the cars after 3## hours?
2
Chapter 8 Standardized Test Practice 471