Tennessee Comprehensive Assessment Program
TCAP
TNReady — Algebra I Part I
PRACTICE TEST
Student Name
Teacher Name
Tennessee Department of Education
Algebra I, Part I
Practice Test
Directions
This Practice Test booklet contains constructed-response items and selectedresponse items in Algebra I. For constructed-response items, write your answer in
the space provided. For selected-response items, circle the correct answer(s).
You MAY use a calculator with all test items in this test booklet.
Sample A: Constructed-Response
The sum of two consecutive odd integers is 72.
1.
Write an algebraic equation to determine the two integers.
2.
What are the two integers?
Write your answers in the spaces provided.
1.
2.
Sample B: Selected-Response
Factor the polynomial:
s2 + 12s + 32
A.
(s + 4)(s − 8)
B.
(s − 2)(s + 16)
C.
(s + 4)(s + 8)
D.
(s + 16)(s + 2)
Sample Answers
A.
1.
x + x + 2 = 72
2.
35, 37
B.
1
Algebra I, Part I
333
1.
Practice Test
A rock is thrown from a cliff into a ravine.
The function h(t) = –16t2 + 192t + 2560 describes the height, in feet, of the
rock t seconds after it is thrown.
What is the height of the rock, in feet, 8 seconds after it is thrown?
Write your answer in the space provided.
3072
1431
2.
John has a goal to ride his bike at least 100 miles this summer. John
has ridden 12 miles thus far. There are 40 days left in the summer.
Write an inequality to represent the average distance, d, in miles, John must
ride each day for the rest of the summer to achieve his goal.
Write your answer in the space provided.
40d +12 ≥ 100 or equivalent inequality
688
3.
Consider the function f(x) = –2x2 + 20x – 42.
On the number line below, select the range of values of x for which f ( x ) ≥ 0 .
2
Algebra I, Part I
2141
4.
Practice Test
Let a and b be two unique irrational numbers.
For each expression, check the box for “rational,” “irrational,” or “cannot be
determined.”
Rational Irrational
a+b
ab
a–b
a
b
32
5.
□
□
□
□
□
□
Cannot be determined
□
□
Simplify the expression (3x4 + 9x3 – 7x + 15) + (–6x4 – 8x2 + 5x – 3).
Write your answer in the space provided.
–3x4 + 9x3 – 8x2 – 2x + 12 or equivalent expression
549
6.
Harold’s car has a fuel tank with 12 gallons of fuel in it. The fuel efficiency of
Harold’s car is 25 miles per gallon.
Write an equation to represent the amount of fuel remaining, f, in Harold’s
car after driving m miles.
Write your answer in the space provided.
𝑓𝑓 = 12 −
1
𝑚𝑚
25
3
Algebra I, Part I
734
7.
Practice Test
Consider the function f (x) = x2 – 2x.
Graph the function f (x) on the coordinate plane.
1397
8.
The Booneville History Museum had 25,000 visitors in 1980. The number of
visitors has decreased by 2.5% each year since 1980.
Enter a function v(t) to represent the number of visitors to the Booneville
History Museum t years after 1980.
Write your answer in the space provided.
𝑣𝑣(𝑡𝑡) = 25000(0.975)𝑡𝑡
4
Algebra I, Part I
1433
9.
Practice Test
Karen is buying supplies for a party. She plans to spend at least $100 on
food and at least $50 on party favors. She can spend no more than $250
total on food and party favors.
Graph the solution set to the amount of money Karen can spend on food, f,
and party favors, p, and spend no more than $250.
5
Algebra I, Part I
1481
10.
Practice Test
Consider the equation 3(x – 5)2 + 6 = 54.
What value(s) of x makes the equation true? Enter one solution in each
response box. If there is only one solution, leave one response box blank.
1
9
355
11.
Consider the functions f (x), g(x), and h(x).
f (x) = −
1
( x + 25)( x + 50)
25
g( x ) = −
1 2
x + 4 x + 24
2
h( x ) = − 10( x − 4)2 + 25
Order the functions from greatest to least based on the maximum value of
each function.
Write your answer in the spaces provided.
greatest
⇓
least
𝑔𝑔(𝑥𝑥)
ℎ(𝑥𝑥)
𝑓𝑓(𝑥𝑥)
6
Algebra I, Part I
1815
12.
Practice Test
A quadratic function is given as f (x) = 3x2 + 24x + 25.
Write the vertex form of the given function.
Write your answer in the space provided.
𝑓𝑓(𝑥𝑥) = 3(𝑥𝑥 + 4)2 − 23
24
13.
The expression 89,000(0.995)t represents the population of a town t years
after 1990.
Circle the values that best complete the sentence below.
The population of the town
A
by
Box A
B
Box B
increases
0.5%*
decreases*
0.995%
5%
99.5%
995%
7
each year.