PEMDAS
Patterns and Instances
Distributing and Combining like terms
Word Problems
Hodgepodge
100

19 - 5 * 2^2

-1

100

Give an instance for the following pattern:

1 -: (x *x*x) = 1/x^3

Answers vary

100

3x^2 - 2x + 6x - 8x^2 -x

-5x^2 + 3x

100

I have lots of unicorns in my unicorn collection. But my friend Dina has five times the amount of unicorns that I have.   And my friend Sarah has four more unicorns than me. Express the amount of unicorns each person has in terms of me.

m=me

5m = Dina

m + 4= Sarah

100

simplify:   -(-(-(-x)^2)

-x^2

200

abs(-4-5) + 3^2 *7

72

200

Write the pattern with a variable:

5(4+1)=5*4+5*1

6(4+1)=6*4+6*1

1.2(4+1)=1.2*4+1.2*1

x(4+1)=x*4+x*1

200

3(x – 8) – (4 + x)

2x - 28

200

Kyle practiced drums x amount of times in January.  He practiced half the amount of times in February. But in March he practiced twice the amount of drums as he did in February. How many times did he practice in all?

2.5x times

200

Factor:  

24xy +16xy^2-32x^2y^2

8xy(3+2y-4xy)

300

-8 - 3(-2^3 - 5)

31

300

How many white beads will be on the nth minute of this design?

3n

300

5x^2(-2-x)-15x+9x^3

4x^3-10x^2-15x

300

Polly, Maia and Christine all collect rainbow unicorns. Polly has twice as many unicorns as Maia. Christine has five more than three times the unicorns that Polly has.  How many unicorns does each person have in terms of Polly?

P = Polly

.5p = Maia

3p+5= Christine

300

Are these equivalent?

2x(x-9)-(3x^2) and -x^2 - 18 + 2x^2 

No

400

Simplify:  

x^2 - 9x^3 - x if x = -1 

11

400

Complete the what's my rule puzzle for n:

2n + 5

400

(3x+5y)/2 - (x-y)/2

x + 3y

400

In my sock drawer I have red, blue and green socks.  I have five more red than blue socks, and half as many green as red socks.  How many green socks do I have if I define my variable as b= blue.

(b+5)/2 

400

Simplify:

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

54