TSI - Intermediate Algebra Practice Test# 3
The following problems are representative of Intermediate Algebra concepts covered in 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. Simplify: -4x3y2 . -4xy3
2 3
2x y
1. _____________
2
10xy
2. Simplify: 2x2 + 5x - 3
x2 + 2x – 3
2. _____________
3. Factor completely: ax + ay + 2az + 3x +3y + 6z
3. _____________
4. Factor completely: 3x3y2 – 75xy2
4. _____________
5. Solve: 8(3x – 5) = 5 (5x + 1)
5. _____________
6. Solve for W: P = 2L + 2W
6. _____________
7. Solve: 6 < 3(x + 7) < 18
2
7. _____________
8. Determine whether (0,0) is a solution of the
system of equations:
8. _____________
8(y – 2) + 2x = -16
5(x – 4) + y = -20
9. Given: -3x + 2y = 18 find the
a) x-intercept
b) y-intercept
9. _____________
c) slope
10. Write an equation for the line passing through
(-3,1) which has a slope of -2.
Saved Placement Test # 3 (Intermediate Algebra)
10. _____________
1
11. Write an equation in slope intercept form for the line
passing through (-4,4) and (2, -5).
11. ______________
12. Add: (4x2 + 3x + 1) + (2x2 – 3x – 5)
12. ______________
13. Divide: (3x3 + 2x2 – 4x +2) ÷ (x – 4)
13. ______________
14. Subtract: (3x2 + 5x – 7) – (4x2 - 2x +7)
14. ______________
15. Multiply: (2x + 5) (4x2 – 3x + 1)
15. ______________
16. If x = 3, y = 2, and z = -5 evaluate 2x3yz2
16. ______________
17. A right triangle has a hypotenuse of 13 ft. and a leg of 5 ft.
What is the length of the other leg?
17. ______________
18. Simplify: x2 + x – 2 ÷ x2 + 4x – 5 . x2 + 2x – 15
3x2 – 9x
6x – 18
x2 - x – 6
18. ______________
19. Add and simplify, if possible:
19. ______________
3
x–2
+
3x__
2x + 3
20. Solve: | 2x + 3| = |x – 4|
20. ______________
Answers to Review Problems for the Intermediate algebra Placement Test # 3
1. 4x
5
2. 2x-1
x-1
8. Yes
9. (A) -6 (B) 9 (C) 3/2
14. –x2 + 7x-14
3. (A+3)(x+y+2z)
15. 8x3+14x2-13x+5
Saved Placement Test # 3 (Intermediate Algebra)
4. 3xy2(x-5)(x+5)
5. X = -45
6. W = p-2L
2
10. y = -2x - 5
11. Y= -3x – 2 12. 6x2-4
2
16. 2700
17. 12 ft.
18. 2
x
7. -3 < x < 5
13. 3x2 + 14x + 52 +210
x-4
19.
3x2+9 .
(x-2)(2x+3)
20. -7, 1/3
2