TSI Elementary Algebra Practice Test# 2
The following problems are representative of Elementary Algebra concepts covered on the TSI Exam. You will also
be asked questions about graphs of linear and quadratic equations and inequalities. Work as many problems as you
can then check your answers at the bottom of the page. For additional assistance contact the Tutorial Services Lab
at the Mission del Paso Campus.
1. Given a cube whose sides are 8 inches each:
a. What is the surface area of the cube?
b. What is the volume of the cube?
2. 3 + 2 
1. a.___________
b.___________
5–6  4
1

4
3.____________
4. 2a (4a – 5) – 3a (–2a – 5)
4.____________
3.
1 
– 
3 
2.____________
5. Which number is largest? Smallest?
1,
3,
10
,
17
5.____________
8
1
, –
3
2
6. Write one equation (do not solve) describing the following:
Two numbers differ by 3 and have a product of 12
7. Find the value of y, if x = –3
6.____________
7.____________
y + 1 = 2 (x – 5)
8. Solve:
1
1
x–5= x–1
2
3
8.____________
9. Solve and graph: 1 < 3x – 2 < 7
9.____________
10. Multiply: (2t – 3) (t – 9)
10.___________
11. Factor: x2 – 8x + 16
11.___________
12. Factor: 2y3– 21y2 + 27y
12.___________
 6x 7 y 6 z 2
13. Simplify:
 2x3 y4 z2
13.___________
14. Factor: 4a2 – 25b2
14.___________
15. Simplify:
6
8x y
3
15. ___________
16. Solve: You have earned grades of 75, 81 and 83 on your first
three exams. What grade must you earn on the fourth exam
to have an average grade of 84?
16.___________
17. The price of a watermelon varies directly with its weight. If a
30 pound watermelon sells for $4.20, what is the price of a 20
pound watermelon?
17.___________
18. Graph: –2x + y = –1
18.___________
Answers to TSI - Elementary Algebra Skills - Practice Test# 2
1. (a) 384 (b) 512 2. 41
3. 7/12
4. 14a2 + 5a
7. –17
8. 24
9. 1 < x < 3
10. 2t2 – 21t + 27
14. (2a–5b) (2a+5b)
Saved: Placement Test #2 (elementary Algebra)
15. 2x3y
2y
16. 97
5. Largest 8/3, Smallest -1/2
11. (x – 4)2
12. y (2y–3) (y–9)
17. 2.80
18. See graph
6. n (n–3) = 12
13. 3x4y2