College Algebra Practice Test 1

• This review should prepare you for the first test in College Algebra. Read the question, work out the answer, then check yourself by clicking the mouse to see if you’re right.

1. Evaluate: 3+7[13-(6+2)]

• 38

2. Simplify : (4x2 + 6) - (5x2 -x)

• -x2 + x + 6

3.Simplify: (7x3 - 2x2+3) + (x2 - x - 5)

• 7x3- x2 - x - 2

4. Simplify (3x-1/y-2 )0

• 1 , anything to the zero power is 1

5. Simplify: (3y4)(2y)3

• 24y7

6. Simplify: 18x3 y4

24x-3 y-6

• 3/4 x6 y10

7. Simplify: 3/8(16y-8) + 2/3(15y + 12)

• 16y+5

8. Is pi a rational or irrational number?

• irrational

9. What are the set of integers?

• {…-2, -1, 0, 1, 2 …}

10. Multiply: (5x - 4) 2

• 25x2 - 40x + 16

11. Multiply (x +4)(x2 - 4)

• X3+ 4x2 - 4x -16

12.Multiply : 4x(3x-4)(2y+5)

• 24x2y + 60x2 - 32xy - 80x

13. Evaluate: (n - v)2 + 3v3 if n = 5 and v= -2

• 25

14. 5(3x + 2y) - 4(6y - x)

• 19x - 14y

15. What is the GCF of the following: 18xy, 27x2?

• 9x

16. Factor: 5x2 - 125

• 5(x+5)(x-5)

17. Factor: x2 + 8x + 15

• (x + 5)(x + 3)

18. Factor: 6x2 + 12x

• 6x(x+2)

19. Factor: 15x + 10 - 6x3 -4x2

• (5 - 2x2)(3x + 2)

20.Factor: 2xy-10x+y-5

• (2x + 1)(y - 5)

21.Factor: 8x3 -10x2-12x

• 2x(4x+3)(x-2) , don’t forget to pull what’s in common out first

22.Factor: 4x2 - 6x + 2

• 2(2x-1)(x-1)

23.Factor: 7y2 - 32y - 15

• (7y+3)(y - 5)

24. Factor: p3 - 4yp2 + 4py2

• p(p – 2y)(p – 2y)

25. Factor: 27x3 - 1• (3x - 1)(9x2 + 3x + 1)

26. Evaluate the expression if x=-3, y=-4, and z=2: 2|x|-3y² -3(z-x)²

• 14/25

27.The surface area of a cone , S, is given by S=πr√r²+h², where h is the

height of the con and r is the radius of the base of the cone. Find S when

r=2.3 and h is 7.

• Approximately 53.2

28. x²-x-6 ÷ x²-9x²-2x-8 x²+7x+12

• X+4 x-4

29. 2x + x x²-1 x²-3x+2

• 3x

(x+1)(x-2)

THE END!!THE END!!THE END!!THE END!!