1. A student was given the equation x^2 + 6x -13 =0 to solve by completing the square. The first step that was written is shown below

x^2 +6x =13

The next step in the student's process was x^2 +6x +c = 13 +c. State the value of c that creates a perfect square trinomial. Explain how the value of c is determined.

2. Solve the equation x^2 -6x = 15 by completing the square/

3. The method of completing the square was used to solve the equation 2x^2 -12x +6 = 0. Which equation is a correct step when using this method?

1) (x-3)^2 =6

2) (x-3)^2 =-6

3)(x-3)^2 =3

4)(x-3)^2=-3

4. Solve the following equation by completing the square: x^2+4x=2.

SEQUENCES

5. If An = n(An-1) and A1 = 1, what is the value of A5?

6. Write the first five terms of the recursive sequence defined below.

A1=0.

An=2(An-1)^2-1 for n>1

7. Given the recursive formula:

A1 =3

An=2(An-1 +1)

State the values of A2, A3, and A4 for the given recursive formula.

8. The third term in an arithmetic sequence is 10 and the fifth term is 26. If the first term is A1, which is an equation for the nth term of this sequence?

1) An=8n+10

2)An=8n-14

3)An=16n+10

4)An=16n-38

9. Which function defines the sequence

-6, -10, -14, -18.... where f(6) = -26?

1) f(x) = -4x-2

2) f(x)= 4x-2

3)f(x)=-x+32

4)f(x)=x-26

For the sequence -27, -12, 3, 18..... the expression that defines the nth term where A1 = -27 is

1) 15-27n

2) 15-27(n-1)

3) -27+15n

4) -27+15(n-1)

Given the sequence 4, 7, 10, 13...

When using the arithmetic sequence formula An= A1 + (n-1)d to determine the 10th term, which variable would be replaced with the number 3?

1) A1

2) n

3) An

4) d