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Use the Language of Algebra

Examples and Exercises

Example 2.8

Simplify the expressions:

  1. \(4+3⋅7\)
  2. \((4+3)⋅7\)


Example 2.9

Simplify:

  1. \(18÷9⋅2\)
  2. \(18⋅9÷2\)


Example 2.10

Simplify: \(18÷6+4(5−2)\).


Example 2.11

Simplify: \(5+2^3+3[6−3(4−2)]\).


Example 2.12

Simplify: \(2^3+3^4÷3−5^2\).


Try It 2.15

Simplify the expressions:

  1. \(12−5⋅2\)
  2. \((12−5)⋅2\)


Try It 2.16

Simplify the expressions:

  1. \(8+3⋅9\)
  2. \((8+3)⋅9\)


Try It 2.17

Simplify:

\(42÷7⋅3\)


Try It 2.18

Simplify:

\(12⋅3÷4\)


Try It 2.19

Simplify:

\(30÷5+10(3−2)\)


Try It 2.20

Simplify:

\(70÷10+4(6−2)\)


Try It 2.21

Simplify:

\(9+5^3−[4(9+3)]\)


Try It 2.22

Simplify:

\(7^2−2[4(5+1)]\)

Try It 2.23

Simplify:

\(3^2+2^4÷2+4^3\)


Try It 2.24

Simplify:

\(6^2−5^3÷5+8^2\)