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Special Equations: Matching Activity

Practice #1

Match the following to correctly complete each statement.

Statements:

  1. If you solve an equation and the result leaves one side equal to the other, then the solution set is _______blank.
  2. If you solve an equation and the result leaves 5 = 7, then the solution set is _______blank.
  3. If you solve an equation and the result is x = 7, then there is _______blank.

Answer Choices:

  • One solution
  • No solution
  • Infinitely many solutions

Answers:

  1. If you solve an equation and the result leaves one side equal to the other, then the solution set is _______blank.

    Answer:Infinitely many solutions

  2. If you solve an equation and the result leaves 5 = 7, then the solution set is _______blank.

    Answer: No solution

  3. If you solve an equation and the result is x = 7, then there is _______blank.

    Answer: One solution

Practice #2

Solve the equation.
x + 7 = 8x – 2x + 7 + 10

  1. One solution, x = -2
  2. Infinitely many solutions
  3. No solution

Answer: a. One solution, x = -2

Practice #3

Solve the equation.
4x – 2 = 9x – 5x + 8 - 11

  1. One solution, x = -3
  2. Infinitely many solutions
  3. No solution

Answer: c. No solution

Practice #4

Solve the equation.
10x – 2 = 13 + 5(2x - 3)

  1. One solution, x = 10
  2. Infinitely many solutions
  3. No solution

Answer: b. Infinitely many solutions

Practice #5

Solve the equation.
9x + 10 = 8x

  1. One solution, x = -10
  2. Infinitely many solutions
  3. No solution

Answer: a. One solution, x = -10

Practice #6

Solve the equation.
3x + 8 = -6x – 5 + 9x

  1. One solution, x = -5
  2. Infinitely many solutions
  3. No solution

Answer: c. No solution

Practice #7

Solve the equation.
6(4x – 3) = 2(12x – 9)

  1. One solution, x = 18
  2. Infinitely many solutions
  3. No solution

Answer: b. Infinitely many solutions

You've completed these review activities!