Tennessee Comprehensive Assessment Program
TCAP
TNReady — Grade 8 Math Part I
PRACTICE TEST
Student Name
Teacher Name
Tennessee Department of Education
Grade 8 Math, Part I
Practice Test
Directions
This Practice Test booklet contains sample items for Grade 8 Math. Write your
answers in this Practice Test booklet.
You MAY use a calculator with all test items in this test booklet.
Sample A: Selected-Response
Circle all expressions equivalent to 4(9 + 3).
A.
4(12)
B.
36 + 3
C.
36 + 12
D.
4 + (9 + 3)
E.
(9 + 3) + (9 + 3) + (9 + 3) + (9 + 3)
Sample B: Table
Select True or False to indicate whether each comparison is true.
True False
32 
4 2

9 3
2(23 + 14 ● 2)  9 ● 8
16.2 ● 3 – 24.6  72 ÷ 3 + 2.78
Sample Answers
A. A, C, E
B. False, True, True
1
Grade 8 Math, Part I
605
1.
Practice Test
Molly earns $6 for each hour she babysits plus $10 to cover any personal
expenses. Suzie earns $4 for each hour she babysits plus $24 to cover
personal expenses. At a certain point, Molly and Suzie will work the same
number of hours and earn the same amount of money. At this point, how
much money will each girl earn?
A.
$34
B.
$44
C.* $52
D.
635
2.
$62
A graph is shown.
Which scenario could be modeled by the graph?
A.* A ball is dropped and bounces on the ground before stopping.
B.
A ball is thrown upward, comes back down, and bounces on the ground
before stopping.
C.
Four balls are dropped on the ground.
D.
Four balls are thrown upward and come back down.
2
Grade 8 Math, Part I
4114
3.
Practice Test
The table represents Sarah’s recorded earnings for her small custom
paintings.
Number of Paintings
Earnings (dollars)
3
$18
7
$42
12
$72
If Sarah wants to increase her earnings by 50% for each painting, what
equation would represent her earnings?
A.
y = 3x
B.
y = 6x
C.* y = 9x
D.
512
4.
y = 12x
Select all equations that have infinitely many solutions.
A.* 2x + 5 = 4 + 2x + 1
B.
5x – 5 = 11x + 2 – 1
C.* 3x + 2 – 2x = x + 2
535
5.
A cell phone company charges $20 for a customer to open a new account
and $35 for each month of phone service.
Write a linear function to represent the total cost, y, a new customer would
pay for x months of service.
Write your answer in the space provided.
y=35x+20 and any equivalent equation
equivalence
3
Grade 8 Math, Part I
45269
6.
Practice Test
Jake has recently started a business. He uses two companies to ship items to
his customers.
The company Shipping Today charges $10.00 and then $2.50 per pound
shipped. The company Get It Fast provides Jake with a table showing
shipping costs for given weights.
Shipping Costs for Get It Fast
Weight (in pounds)
Cost
2
$7.50
3.4
$12.75
4
$15.00
5.8
$21.75
Part A
Write an equation to represent the cost, c, for shipping p pounds with
Shipping Today.
C = 2.5p + 10 or any equivalent equation
Write an equation to represent the cost, c, for shipping p pounds with
Get It Fast.
C = 3.75p or any equivalent equation
Part B
At what weight, in pounds, will both plans cost Jake the same amount?
8
Part C
Jake manufactures 3 different items. The weight for one unit of each is shown
below.
Weight (in pounds)
Product 1
0.5
Product 2
0.74
Product 3
1.20
Write an equation to calculate the cost, c, of shipping x units of Product 1,
y units of Product 2, and z units of Product 3 using Shipping Today.
2.5 (.5x + .74y + 1.20z) + 10 = c
Write an equation to calculate the cost, c, of shipping x units of Product 1,
y units of Product 2, and z units of Product 3 using Get It Fast.
3.75(.5x + .74y + 1.20z) = c
Item continues on the next page.
4
Grade 8 Math, Part I
Practice Test
Part D
Sally and Margaret both place orders.
Sally’s Order
Product
1
2
3
Margaret’s Order
Number of Items
Purchased
8
4
2
Product
1
2
3
Number of Items
Purchased
12
1
0
Which shipping company should Jake use for each order?
Sally:
Margaret:
Company A
Company B
How much total will Jake spend shipping these 2 orders?
$58.68
Part E
Shipping Today offers Jake a 5% discount off of the final combined shipping
cost if he exclusively uses their shipping company. Will this save Jake money
for these 2 orders?
Yes
If yes, how much money does Jake save by using Shipping Today
exclusively? If no, how much more money would Jake pay to use Shipping
Today exclusively?
$1.44
Students will receive credit if an
incorrect solution for one part of
the performance task is used
correctly to solve another part of
the task.
5
Grade 8 Math, Part I
617
7.
Practice Test
A right angle has a vertex at (–2, 1). Construct a new right angle that is the
image of the right angle shown after a reflection over the x-axis.
A right angle drawn with vertex at (–2, –1).
6
Grade 8 Math, Part I
1258
8.
Practice Test
The points M(–4, 2) and N(2, –5) are plotted on the coordinate plane.
Select all expressions that represent the distance between points M and N.
A.
72 – 62
B. * 85
C. * 36  49
D.
7  6
E.
13
7
Grade 8 Math, Part I
801
9.
Practice Test
The diameter of the Sun is approximately 1,400,000 kilometers, while the
diameter of Saturn is approximately 1.2 × 105 kilometers. How many
kilometers larger is the diameter of the Sun than the diameter of Saturn?
A. * 1.28 × 106
29
10.
B.
1.52 × 106
C.
1.28 × 107
D.
1.58 × 107
Rectangle ABCD has the vertices (–2, 1), (2, 1), (2, –2), and (–2, –2).
Rectangle ABCD is dilated by a scale factor of 2. Create the image of
A'B'C'D'.
8
Grade 8 Math, Part I
1212
11.
Practice Test
Select all the functions that are not linear.
A. *
B.
x
–3
–2
0
1
3
4
y
5
4
3
2
1
0
y 
1
(x  1)  3x
2
C.* y  3x(x  2)  5
D.*
9