Question Details

MAT 110 MODULE 4 CHECK YOUR UNDERSTANDING
1.	State which method should be applied as the first step for factoring the polynomial. (x + 9y)2 - 1

2.	Factor completely. 16x2 + 9

3.	The directions on a concentrated cleaner state that 3 tablespoons of concentrate make 345 ounces of cleaning fluid. How many ounces of cleaning fluid will 2 tablespoons of cleaner make?

4.	Write in simplest form.   

5.	Add or subtract as indicated.   

6.	Add. Express your answer in simplest form.   

7.	Find the greatest common factor. 14, 21

8.	Simplify.  

9.	Write the expression in simplest form.   

10.	Multiply.  

11.	What values for x, if any, must be excluded in the following algebraic fraction?   

12.	Factor completely. 9x2 + 30xy + 25y2

13.	The volume V of a hollow cylinder is given by the formula V =  L(R22 - R12). Factor the right-hand side of this equation.

14.	Add. Express your answer in simplest form.    +  

15.	Factor 3x2-x-4

16.	Factor the trinomial completely. x2 - 8x + 16

17.	Find the area of the rectangle shown.
 

18.	Factor. x2(y - z) - 25y2(y - z)

19.	Solve the quadratic equation. 3x(2x - 5) = 75

20.	Solve for x.   + 7 = 7

21.	Simplify.   

22.	Factor completely. 15x2 - 16x + 4

23.	The area of a rectangle of length t is given by 12t - t2. Find the width of the rectangle in terms of t.

24.	One number is 8 more than another. Let x represent the larger number and use a rational expression to represent the sum of the reciprocals of the two numbers.

25.	The profit on a watch is given by P = x2 - 13x - 80, where x is the number of watches sold per day. How many watches were sold on a day when there was a $50 loss?

26.	Complete the following statement. 6m2 - 13mn - 15n2 = (m - 3n)(_____)

27.	State which method should be applied as the first step for factoring the polynomial.
2x2 + 5xy + 2x + 5y

28.	Factor completely. x2 + x - 42

29.	Factor. 16x3 + 36x2

30.	Solve the quadratic equation. x2 = -6x

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