Chapter 10 Radical Expressions and Equations

Chapter 10 Get Ready!

• Lesson 2-7 Solving Proportions

  Solve each proportion.

  1. 2 3 = x 15 2 thirds , equals , x over 15
  2. 3 a = 1 6 3 over eh , equals , 1 sixth
  3. 4 3 = 6 m 4 thirds , equals , 6 over m

• Lesson 1-3 Estimating Square Roots

  Estimate the square root. Round to the nearest integer.

  4. 61 square root of 61
  5. 94 square root of 94
  6. 15 square root of 15
  7. 148 square root of 148
  8. 197 square root of 197

• Lesson 8-3 Multiplying Binomials

  Simplify each product.

  9. ( 2 h + 3 ) ( 4 − h ) open 2 h plus 3 close open 4 minus h close
  10. ( 3 b 2 + 7 ) ( 3 b 2 − 7 ) open 3 , b squared , plus 7 close open 3 , b squared , minus 7 close
  11. ( 5 x + 2 ) ( − 3 x − 1 ) open 5 x plus 2 close open negative 3 x minus 1 close

• Lesson 9-1 Quadratic Graphs

  Graph each function.

  12. y = 3 x 2 y equals 3 , x squared
  13. y =   x 2 + 4 y equals , x squared , plus 4
  14. y = 2 x 2 + 3 y equals 2 , x squared , plus 3

• Lesson 9-6 The Quadratic Formula and the Discriminant

  Find the number of real-number solutions of each equation.

  15. x 2 + 6 x + 1   = 0 x squared , plus 6 x plus 1 equals 0
  16. x 2 − 5 x − 6   = 0 x squared , minus 5 x minus 6 equals 0
  17. x 2 − 2 x + 9   = 0 x squared , minus 2 x plus 9 equals 0
  18. 4 x 2 − 4 x = − 1 4 , x squared , minus 4 x equals negative 1
  19. 6 x 2 + 5 x − 2   = − 3 6 , x squared , plus 5 x minus 2 equals negative 3
  20. ( 2 x − 5 ) 2 = 121 open , 2 x minus 5 , close squared . equals 121

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