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Ryan here is some more...

Ryan here is some more math problems for you.

2) Use the quadratic formula to solve the equation. 2x^2 – x = -5. The solution set is {__}.

3) Use the FOIL method to find the product. (2x^7 – 3)(X^9 – 2) = __.

4) Solve x^2 + 2x – 4 =. A) Solution is x = __. B) There is no solution.

5) Add. (2s^4 – 4s^3 + 5s^2 + 16s – 11) + (s^5 + 8s^3 + 5s^2 – 5s +6) + (-5s^4 + s^2 – 6s -6) =

6) Solve 10x^4 – 11x^2 + 3 = 0. The solution is x = __. There is no solution.

7) Simplify. ?(-1/8) = __. (Simplify your answer. Type a fraction or an integer.) B) The root is not a real number. (That is a 3)

8) Use rational exponents to simplify. v(5&x^10) = __. (This is a 5)

9) Add. (4x^2 – 3xy + y^2) + (-9x^2 – 2xy –y^2) + (x^2 + xy – 9y^2) = __.

10) Multiply (s + 1/5)(s + ¼) = __.

11) Simplify by factoring. Assume that all expressions under radicals represent nonnegative number. v(12a^2b) = __.

12) Jack usually mows his lawn in 5 hours. Marilyn can mow the same yard in 3 hours. How much time would it take for them to mow the lawn together? They could mow the lawn in __ hours if they worked together.

13) Solve. v(9x+67) = x + 5. A) The solution is x = __. B) The solution is not a real number.

15) Factor completely. 9m^2 + 1 – 6m = __. B) The expression is not factorable.

16) Solve t^2 + 3t – 40 = 0. A) The solution(s) is/are t = __. B) There is no solution.

17) Factor completely. 180r^2 + 300rt + 125t^2 = __.

19) Divide and simplify. 11w – 88/15 ÷ w – 8/33w = __.

20) Find all numbers for which the rational expression is undefined. T^3- 2t/t^2 – 36

21) For the following equation, state the value of the discriminant and then describe the nature of the solutions. 17x^2 + 4x + 3 = 0. What is the value of the discriminant? __. Which one of the statements below is correct? A) The equation has two imaginary solutions. B) The equation has one real solution. C) The equation has two real solutions.

22) Factor completely. 8x^5 – 56x^4 + 16x^3. The complete factorization is __. (Type your answer in factored form.)

23) Identify the degree of each term of the polynomial and the degree of the polynomial. -7x^3 + 4x^2 + 9x + 9. The degree of the first term is __. The degree of the second term is __. The degree of the third term is __. The degree of the fourth term is__. The degree of the polynomial is __.

24) Multiply. (b +d)(b^2 – bd + d^2) = __.

25) Factor the trinomial. R^3 – 2r^2 – 48r = __. B) The trinomial s not factorable.

26) Perform the indicated operations and simplify. W – 4/w – 6 – w + 1/w + 6 + w – 30/w^2 – 36 = __.

27) Simplify by removing factors of 1. S^2 – 1/(s+ 1)^2 The simplified form is __.

28) Solve. (x + 14)(x – 3)(x + 7) > 0. A) The solution set is x {xl __}. B) The solution is all real numbers. C) There is no solution.

29) Multiply and simplify. Assume variables represent nonzero real numbers. Y^19 * y^0 = __.

30) Simplify by taking roots of the numerator and the denominator. Assume that all expressions under radicals represent positive numbers. ?((216x^14)/(y^3)) = __. (That is a 3) B) The roots not a real number.

32) Solve for x. 4x(x – 4)- 5x(x – 3) = 0 x = __. B) There is no solution.

33) Subtract. Simplify, if possible. 1 – z/z – 7 – 3z -5/7 – z = __.

35) Find a polynomial for the perimeter and for the area. (It’s a square box and on top it has a + 5 and on the right side has an a). The perimeter is __. The area is __.

37) Rationalize the denominator. Assume that all expressions under radicals represent positive numbers. va - vb /va + vb = __.

38) Add. Simplify if possible. 4r/r^2 – 9 + r/r – 3 = __.

39) Multiply. (4v7 - 8v5)(5v7 + 10v5) = __.

40) Evaluate the polynomial for x =-1. 3x^2 – 3x + . When x = -1, 3x^2 – 3x + 3 = __.

41) Find the greatest common factor for the group of terms. -66a^4, 11a^5 The greatest common factor is __.

2) Use the quadratic formula to solve the equation. 2x^2 – x = -5. The solution set is {__}.

3) Use the FOIL method to find the product. (2x^7 – 3)(X^9 – 2) = __.

4) Solve x^2 + 2x – 4 =. A) Solution is x = __. B) There is no solution.

5) Add. (2s^4 – 4s^3 + 5s^2 + 16s – 11) + (s^5 + 8s^3 + 5s^2 – 5s +6) + (-5s^4 + s^2 – 6s -6) =

6) Solve 10x^4 – 11x^2 + 3 = 0. The solution is x = __. There is no solution.

7) Simplify. ?(-1/8) = __. (Simplify your answer. Type a fraction or an integer.) B) The root is not a real number. (That is a 3)

8) Use rational exponents to simplify. v(5&x^10) = __. (This is a 5)

9) Add. (4x^2 – 3xy + y^2) + (-9x^2 – 2xy –y^2) + (x^2 + xy – 9y^2) = __.

10) Multiply (s + 1/5)(s + ¼) = __.

11) Simplify by factoring. Assume that all expressions under radicals represent nonnegative number. v(12a^2b) = __.

12) Jack usually mows his lawn in 5 hours. Marilyn can mow the same yard in 3 hours. How much time would it take for them to mow the lawn together? They could mow the lawn in __ hours if they worked together.

13) Solve. v(9x+67) = x + 5. A) The solution is x = __. B) The solution is not a real number.

15) Factor completely. 9m^2 + 1 – 6m = __. B) The expression is not factorable.

16) Solve t^2 + 3t – 40 = 0. A) The solution(s) is/are t = __. B) There is no solution.

17) Factor completely. 180r^2 + 300rt + 125t^2 = __.

19) Divide and simplify. 11w – 88/15 ÷ w – 8/33w = __.

20) Find all numbers for which the rational expression is undefined. T^3- 2t/t^2 – 36

21) For the following equation, state the value of the discriminant and then describe the nature of the solutions. 17x^2 + 4x + 3 = 0. What is the value of the discriminant? __. Which one of the statements below is correct? A) The equation has two imaginary solutions. B) The equation has one real solution. C) The equation has two real solutions.

22) Factor completely. 8x^5 – 56x^4 + 16x^3. The complete factorization is __. (Type your answer in factored form.)

23) Identify the degree of each term of the polynomial and the degree of the polynomial. -7x^3 + 4x^2 + 9x + 9. The degree of the first term is __. The degree of the second term is __. The degree of the third term is __. The degree of the fourth term is__. The degree of the polynomial is __.

24) Multiply. (b +d)(b^2 – bd + d^2) = __.

25) Factor the trinomial. R^3 – 2r^2 – 48r = __. B) The trinomial s not factorable.

26) Perform the indicated operations and simplify. W – 4/w – 6 – w + 1/w + 6 + w – 30/w^2 – 36 = __.

27) Simplify by removing factors of 1. S^2 – 1/(s+ 1)^2 The simplified form is __.

28) Solve. (x + 14)(x – 3)(x + 7) > 0. A) The solution set is x {xl __}. B) The solution is all real numbers. C) There is no solution.

29) Multiply and simplify. Assume variables represent nonzero real numbers. Y^19 * y^0 = __.

30) Simplify by taking roots of the numerator and the denominator. Assume that all expressions under radicals represent positive numbers. ?((216x^14)/(y^3)) = __. (That is a 3) B) The roots not a real number.

32) Solve for x. 4x(x – 4)- 5x(x – 3) = 0 x = __. B) There is no solution.

33) Subtract. Simplify, if possible. 1 – z/z – 7 – 3z -5/7 – z = __.

35) Find a polynomial for the perimeter and for the area. (It’s a square box and on top it has a + 5 and on the right side has an a). The perimeter is __. The area is __.

37) Rationalize the denominator. Assume that all expressions under radicals represent positive numbers. va - vb /va + vb = __.

38) Add. Simplify if possible. 4r/r^2 – 9 + r/r – 3 = __.

39) Multiply. (4v7 - 8v5)(5v7 + 10v5) = __.

40) Evaluate the polynomial for x =-1. 3x^2 – 3x + . When x = -1, 3x^2 – 3x + 3 = __.

41) Find the greatest common factor for the group of terms. -66a^4, 11a^5 The greatest common factor is __.

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