Many expression in algebra look similar but the methods used to simplify the expression may be different. For exercises 1-14, simplify each expression. Assume that the variable are restricted so that each expression is defined. a. ( x ) 2 + ( y ) 2 b. x 2 + y h 2 c. ( x + y ) 2 d. ( x + y ) ( x − y )
Many expression in algebra look similar but the methods used to simplify the expression may be different. For exercises 1-14, simplify each expression. Assume that the variable are restricted so that each expression is defined. a. ( x ) 2 + ( y ) 2 b. x 2 + y h 2 c. ( x + y ) 2 d. ( x + y ) ( x − y )
Solution Summary: The author explains how to calculate the simplified value of the algebraic expression, (sqrtx)2+
Many expression in algebra look similar but the methods used to simplify the expression may be different. For exercises 1-14, simplify each expression. Assume that the variable are restricted so that each expression is defined.
1) Express these large and small numbers from the Read and Study section in scientific
notation:
(a) 239,000 miles
(b) 3,800,000,000,000 sheets of paper
(c) 0.0000000000000000000000167 grams
2) Find all values for the variable x that make these equations true.
(a) 5x = 1
(b) 3x = 1/1
9
(c) 4* = 11/
4
(e) 4* = 64
(g) 10x = 1,000,000
(d) 3x=-3
(f) 2x =
=
8
(h) 10x = 0.001
(b)
4) Find an equation to fit each of the following graphs:
(a)
20
20
18
16
14
12
10
8
6
4
2
24
22
20
18
16
14
12
10
8
16
A
2
-3 -2
-1-0
2
3
4.
-1
0
1
2
3.
-2
-2
3) Which of the following are equivalent to 3? (There may be more than one that is
equivalent!)
-1
(a) (9)¯¹
3.
(b) (-3)-1
(c) (-3)
-1
(d) -(¯3)
(e) 11
3-1
(f) 3-4
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