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Sturgis: Algebra! Part 1

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

Exponents:  3⋅3⋅3=Choose all that are correct!3\cdot3\cdot3=_{ }Choose\ all\ that\ are\ correct!  

a)

 99  

b)

 333^3  

c)

 2727  

d)

 3(3)3\left(3\right)^{ }  

2.

Exponents:   n5 =n^5\ =  

a)

 n+n+n+n+nn+n+n+n+n  

b)

 n⋅n⋅n⋅n⋅nn\cdot n\cdot n\cdot n\cdot n  

c)

 5n5n  

d)

 n×5n\times5  

3.

     3.5⋅3.5⋅3.5⋅3.5⋅3.5=\ \ \ \ 3.5\cdot3.5\cdot3.5\cdot3.5\cdot3.5=  

a)

 5(3.5)5(3.5)  

b)

 17.517.5  

c)

 3.5 × 53.5\ \times\ 5  

d)

 (3.5)5\left(3.5\right)^5  

4.

 Exponents:   (23)3     Choose all that are correct!Exponents:\ \ \ \left(\frac{2}{3}\right)^3\ \ \ \ \ Choose\ all\ that\ are\ correct!  

a)

 827\frac{8}{27}  

b)

 22  

c)

 23+23+23\frac{2}{3}+\frac{2}{3}+\frac{2}{3}  

d)

 23⋅23⋅23\frac{2}{3}\cdot\frac{2}{3}\cdot\frac{2}{3}  

5.

 Replacing variables with numbers:  Let  y=5.       2y+6y ÷3y3=        Replacing\ variables\ with\ numbers:\ \ Let\ \ y=5.\ \ \ \ \ \ \ 2y+6y\ \div\frac{3y}{3}=\ \ \ \ \ \ \ \   

a)

8

b)

16

c)

24

d)

32

6.

 Replacing variables with numbers: Let n = 6.   7(n+2)−n2Replacing\ variables\ with\ numbers:\ Let\ n\ =\ 6.\ \ \ 7\left(n+2\right)-n^2  

a)

6

b)

18

c)

20

d)

44

7.

 Relationship between multiplication and division: 24⋅  ?  =24  Choose all that are correct!Relationship\ between\ multiplication\ and\ division:\ 24\cdot\ \ ?\ \ =24\ \ Choose\ all\ that\ are\ correct!  

a)

 66\frac{6}{6}  

b)

 00  

c)

 11  

d)

 6−66-6  

8.

 Relationship between addition and subtraction:  24  ?=24   Choose all that are correct!Relationship\ between\ addition\ and\ subtraction:\ \ 24\ \ ?=24\ \ \ Choose\ all\ that\ are\ correct!  

a)

 +33\frac{+3}{3}  

b)

 +3−3+3-3  

c)

 −1-1  

d)

 +0+0  

9.

 Order of ops:  20÷(5−3)+12Order\ of\ ops:\ \ 20\div\left(5-3\right)+12  

a)

23

b)

22

c)

14

d)

13

10.

 Order of ops: 23−1⋅(2+1)=Order\ of\ ops:\ 2^3-1\cdot\left(2+1\right)=  

a)

21

b)

15

c)

5

d)

3

11.

 Order of ops: 10 +(3+7)÷5Order\ of\ ops:\ 10\ +\left(3+7\right)\div5  

a)

20

b)

12

c)

5

d)

4

12.

 Relationship between multiplication and addition:  5p =Relationship\ between\ multiplication\ and\ addition:\ \ 5p\ =  

a)

 p+p+p+p+pp+p+p+p+p  

b)

 p⋅p⋅p⋅p⋅pp\cdot p\cdot p\cdot p\cdot p  

c)

 p5p^5  

d)

 5×p5\times p  

13.

 Relationship between multiplication and addition:  8⋅2=?  Choose all that are correct!Relationship\ between\ multiplication\ and\ addition:\ \ 8\cdot2=?\ \ Choose\ all\ that\ are\ correct!  

a)

 2+2+2+2+2+2+2+22+2+2+2+2+2+2+2  

b)

 8⋅88\cdot8  

c)

 8+88+8  

d)

 8+28+2  

14.

 Relationship between multiplication and addition:  z+z+z+z+z+z+zRelationship\ between\ multiplication\ and\ addition:\ \ z+z+z+z+z+z+z  

a)

 7z7^z  

b)

 z7z^7  

c)

 7z7z  

d)

 zx7zx7  

15.

 Relationship between multiplication and addition:  z+z+n+n+nRelationship\ between\ multiplication\ and\ addition:\ \ z+z+n+n+n  

a)

 (z+n)5\left(z+n\right)^5  

b)

 2xz+3xn2xz+3xn  

c)

 z2 + n3z^2\ +\ n^3  

d)

 2z+3n2z+3n