Easy Algebra Step-by-Step

62 Easy Algebra Step-by-Step

b. 100 + 838 2 −÷ 6363 () 25

Step 1. Compute 25 inside the parentheses.

100 + 838 2 −÷ 6363 () 25

=+ 100 8 ⋅ 362 − 3 ÷ 7

Step 2. Evaluate 32.

=+ 100 86 ⋅− 3 ÷ 7

Step 3. Compute 89.

=+ 100 72 −÷ 63 7

Step 4. Compute 63 ÷ 7.

=+ 100 72 − 9

Step 5. Compute 100 + 72.

=− 172 9

Step 6. Compute 172 − 9.

= 163

Step 7. Review the main steps.

100 83 63 100 83 63 7 100 8963 7

100 72 9 163

• 8 22 −÷ (^636363) () 2525 =+ 100100100 833 − ÷= 7 + 8 −÷ 63
  =+ 100 −= 9
  c. −^72 +^5 + ()−
  35 −
  81 +− 5 −(^3
  Step 1. Compute quantities in grouping symbols.
  −


• ()−

72 + 5

35 −

81 +− 5 −(^3

=

−

+−

18

2

72 −^3

Step 2. Evaluate − 7 and 23.

=

−

+

18

2

78 −

72 −≠ 63 7 97. Do division before subtraction

(except when a grouping symbol indicates

otherwise).

Evaluate absolute value expressions

before multiplication or division.

83 ⋅≠ 32222424. 8332 =^899 =^72 , but 242 = 576. Do

exponentiation before multiplication.

100 + 898 ≠⋅ 108108 9. Do multiplication before

addition (except when a grouping symbol indicates

otherwise).