Chapter 1 Tools of Geometry

Get Ready!

• Skills Handbook, p. 829 Squaring Numbers

  Simplify.

  1. 3 2 3 squared
  2. 4 2 4 squared
  3. 11 2 11 squared

• Skills Handbook, p. 830 Simplifying Expressions

  Simplify each expression. Use 3.14 for π.

  4. 2 · 7.5 + 2 · 11 2 middle dot 7.5 plus 2 middle dot 11
  5. π ( 5 ) 2 pi open 5 , close squared
  6. 5 2 + 12 2 square root of 5 squared , plus , 12 squared end root

• Skills Handbook, p. 830 Evaluating Expressions

  Evaluate the following expressions for a = 4 bold italic eh equals 4  and b = − 2 . bold italic b equals negative 2 .

  7. a + b 2 fraction eh plus b , over 2 end fraction
  8. a − 7 3 − b fraction eh minus 7 , over 3 minus b end fraction
  9. ( 7 − a ) 2 + ( 2 − b ) 2 square root of open , 7 minus eh , close squared . plus . open , 2 minus b , close squared end root

• Skills Handbook, p. 832 Finding Absolute Value

  Simplify each absolute value expression.

  10. | − 8 | absolute value of negative 8 , end absolute value ,
  11. | 2 − 6 | absolute value of 2 minus 6 , end absolute value ,
  12. | − 5 − ( − 8 ) | absolute value of negative 5 minus open negative 8 close , end absolute value ,

• Skills Handbook, p. 834 Solving Equations

  Algebra Solve each equation.

  13. 2 x + 7 = 13 2 x plus 7 equals 13
  14. 5 x − 12 = 2 x + 6 5 x minus 12 equals 2 x plus 6
  15. 2 ( x + 3 ) − 1 = 7 x 2 open x plus 3 close minus 1 equals 7 x

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