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Worksheets

2H Module 1 Review

Total questions: 27

Worksheet time: 42mins

Name
Class
Date
1.

Which of the following describes a recursive function?

a)

The new term is the previous term and the pattern.

b)

The previous term is the new term and the pattern

c)

You do not need the previous term to find the next term.

d)

To find the 20th term I need to know the first term.

2.

Which of the following describes an explicit function?

a)

The new term is the previous term and the pattern.

b)

The previous term is the new term and the pattern

c)

You do not need the previous term to find any term in the sequence,.

d)

You need to know all of the terms to find the sequence.

3.

Expand and combine like terms of the following expression. (5x26x+9)+(2x2+4x6)\left(5x^2-6x+9\right)+\left(-2x^2+4x-6\right)  

a)

7x2+10x+157x^2+10x+15  

b)

3x22x+33x^2-2x+3  

c)

3x2+10x33x^2+10x-3  

d)

3x2+2x3-3x^2+2x-3  

4.

Expand and combine like terms of the following expression.   (2x26x+4)(3x23x+5)\left(2x^2-6x+4\right)-\left(3x^2-3x+5\right)  

a)

  5x23x15x^2-3x-1  

b)

  x29x+9-x^2-9x+9  

c)

  5x2+9x+95x^2+9x+9  

d)

  x23x1-x^2-3x-1  

5.

Expand and combine like terms of the following expression.

   (x+4)(x9)\left(x+4\right)\left(x-9\right)  

a)

   x2+5x+36-x^2+5x+36  

b)

   x2+13x+36x^2+13x+36  

c)

   x2+5x+36x^2+5x+36  

d)

   x25x36x^2-5x-36  

6.

Expand and combine like terms of the following expression.

    (x+3)(x+7)\left(x+3\right)\left(x+7\right)  

a)

    x2+10x+21x^2+10x+21  

b)

    x210x21x^2-10x-21  

c)

    x24x21x^2-4x-21  

d)

    x2+4x+21x^2+4x+21  

7.

Expand and combine like terms of the following expression.

     (3x4)(x+1)\left(3x-4\right)\left(x+1\right)  

a)

     3x2+x+4-3x^2+x+4  

b)

     3x2x43x^2-x-4  

c)

     3x23x43x^2-3x-4  

d)

     3x2+7x+43x^2+7x+4  

8.

Expand and combine like terms of the following expression.

      (5x5)(4x+3)\left(5x-5\right)\left(4x+3\right)  

a)

      20x22x1520x^2-2x-15  

b)

      20x25x1520x^2-5x-15  

c)

      9x25x159x^2-5x-15  

d)

      20x2+5x+15-20x^2+5x+15  

9.

Expand and combine like terms of the following expression.

       3(x+9)(x+2)3\left(x+9\right)\left(x+2\right)  

a)

       x2+33x+54x^2+33x+54  

b)

       x2+11x+18x^2+11x+18  

c)

       3x2+33x+543x^2+33x+54  

d)

       3x2+11x+543x^2+11x+54  

10.

Expand and combine like terms of the following expression.

        4(x+2)(2x7)4\left(x+2\right)\left(2x-7\right)  

a)

        8x2+12x+56-8x^2+12x+56  

b)

      8x2+44x568x^2+44x-56    

c)

        8x212x568x^2-12x-56  

d)

        2x23x142x^2-3x-14  

11.

What movie franchise is this scene from?

a)

Harry Potter

b)

Star Wars

c)

Star Trek

d)

Lord of the Rings

12.

How many blocks are in term 4?

a)

9

b)

16

c)

10

d)

8

13.

What is the recursive equation for the pattern?

a)

f(n)=f(n1)+4f\left(n\right)=f\left(n-1\right)+4  

b)

f(n)=f(n1)+3f\left(n\right)=f\left(n-1\right)+3  

c)

f(n)=f(n1)4f\left(n\right)=f\left(n-1\right)\cdot4  

d)

f(n)=f(n1)+5f\left(n\right)=f\left(n-1\right)+5  

14.

What is the explicit equation for the pattern?

a)

  f(n)=4n3f\left(n\right)=4n-3  

b)

  f(n)=4n+1f\left(n\right)=4n+1  

c)

  f(n)=n+4f\left(n\right)=n+4  

d)

  f(n)=n3f\left(n\right)=n-3  

15.

How many blocks will be at term 4?

a)

46

b)

42

c)

54

d)

48

16.

What is the explicit formula for the pattern?

a)

f(n)=3n2f\left(n\right)=3n^2  

b)

f(n)=n2f\left(n\right)=n^2  

c)

f(n)=3n2+3nf\left(n\right)=3n^2+3n  

d)

f(n)=3nf\left(n\right)=3n  

17.

Who is this avenger?

a)

Winter Soldier

b)

Black Widow

c)

Black Panther

d)

Spiderman

18.

What type of function does the table show?

a)

exponential function

b)

linear function

c)

quadratic function

d)

neither

19.

What is the recursive function of the table?

a)

f(n)=f(n1)2f\left(n\right)=f\left(n-1\right)\cdot2  

b)

f(n)=f(n1)+2f\left(n\right)=f\left(n-1\right)+2  

c)

f(n)=f(n1)4f\left(n\right)=f\left(n-1\right)\cdot4  

d)

f(n)=f(n1)+4f\left(n\right)=f\left(n-1\right)+4  

20.

What is the explicit equation of the table?

a)

f(n)=4f\left(n\right)=4  

b)

f(n)=4nf\left(n\right)=4n  

c)

f(n)=n+4f\left(n\right)=n+4  

d)

f(n)=2n +2f\left(n\right)=2n\ +2  

21.

What kind of function does the table represent?

a)

exponential function

b)

linear function

c)

quadratic function

d)

neither

22.

What is the recursive function of the table?

a)

f(n)=f(n1)4f\left(n\right)=f\left(n-1\right)\cdot4  

b)

f(n)=f(n1)5f\left(n\right)=f\left(n-1\right)\cdot5  

c)

f(n)=f(n1)+4f\left(n\right)=f\left(n-1\right)+4  

d)

f(n)=f(n1)+15f\left(n\right)=f\left(n-1\right)+15  

23.

What is the explicit function of the table?

a)

  f(n)=4(n1)5f\left(n\right)=4^{\left(n-1\right)}\cdot5  

b)

  f(n)=4n5f\left(n\right)=4^n\cdot5  

c)

  f(n)=5n4f\left(n\right)=5^n\cdot4  

d)

  f(n)=5(n1)4f\left(n\right)=5^{\left(n-1\right)}\cdot4  

24.

True or False: The table represents a function.

a)

True

b)

Fasle

25.

True or False: The table represents a function.

a)

True

b)

Fasle

26.

True or False: The graph represents a function.

a)

True

b)

Fasle

27.

True or False: The graph represents a function.

a)

True

b)

Fasle