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

3(x – 8) – (4 + x)

2x - 28

100

I walked twice as many miles as my brother, and my sister walked two more miles than my brother.   Write an expression that tells how much each walked in terms of my brother.

b=brother

2b = me (or I)

b+2= sister

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

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

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

200

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

200

Factor:  

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

8xy(3+2y-4xy)

300

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

31

300

Complete the what's my rule puzzle for n:

n^2-2

300

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

x + 3y

300

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 

300

Are these equivalent?

2x(x-9)-(3x^2) and -x^2 - 18 + 2x^2 

No

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