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Algebra 1: Problem Set 1
Arithmetic of signed numbers, Whole number exponents,
Simplifying expressions , and Order of operations
Evaluate:
1.  5  (6)  (3)
3.
2.
4  13 
  
5  15 
5 2

8 3
4. 4  6  2  2 4
Simplify:
5. 6 x 2  3[2 x  x(2 x  3)]
7.
6. 4 x  3  2( x  4)  (2  x)
 20 x 7
 5x 3
8.

 m2n3 
10.  3 
 m n 
2
9. 3x y

3 2
7a 2 bc 3
84ab 2 c
2
Solutions to Odd Problems:
1.
3.
4  13 
  
5  15 
 5  (6)  (3)
 5  6  (3)
4  15 
 
5  13 
12

13
1  (3)
2
7.
5.
9.
 20 x
 5x 3
4 x 7 3
7
4x
6 x 2  3[2 x  2 x 2  3x]
6 x 2  3[2 x 2  x]
6 x 2  6 x 2  3x
12 x 2  3x
Answer to Even Problems
3x y 
2
3 2
32 ( x 2 ) 2 ( y 3 ) 2
4
4
ac 2
8.
12b
6 x 2  3[2 x  x(2 x  3)]
9x y
n4
10. 2
m
6
2.
 31
24
4. -9 6. x – 3