Home > SparkNotes > Math Study Guides > Expressions and Equations >

sparknotes

Expressions and Equations


Problems

Problem : Name the property shown:
x = 12 and 12 = y . Thus, x = y


Problem : Name the property shown:
4(2x) = 8x


Problem : What number, when multiplied by 3, is equal to 1?


Problem : What number, when multiplied by , is equal to 1?


Problem : Name the property or operation used in each step:
Solve for x : - 16 = - 4

  1. - 16 = - 4
  2. - 16 + 16 = - 4 + 16
  3. + 0 = 12
  4. = 12
  5. 12() = 12(12)
  6. 1x = 144
  7. x = 144


Problem : Name the property or operation used in each step:
Solve for y : 3(4y + 3) = 9

  1. 3(4y + 3) = 9
  2. 12y + 9 = 9
  3. 12y + 9 - 9 = 9 - 9
  4. 12y + 0 = 0
  5. 12y = 0
  6. 12 = 0ory = 0
  7. Since 12âÉ  0 , y = 0


Problem : Name the property or operation used in each step:
Solve for x if y = 4 : 4y + 5 = 3(x + 1)

  1. 4y + 5 = 3(x + 1)
  2. 4(4) + 5 = 3(x + 1)
  3. 16 + 5 = 3(x + 1)
  4. 21 = 3(x + 1)
  5. =
  6. 7 = 1(x + 1)
  7. 7 = x + 1
  8. 7 - 1 = x + 1 - 1
  9. 6 = x + 0
  10. 6 = x
  11. x = 6