Algebra I. Lesson 1
Definitions and Properties (High School)

Problems 1-1

  Answer Key

Problems  (click HERE for a printer-friendly version)

Directions: Complete the problems below. Consult the Answer Key below for answers once you finish. Review the Instruction material which relates to any questions you do not get correct.

Write an algebraic expression for each verbal expression. Use y as a variable:

  1. a number increased by 17 _____
     
  2. twice the square of a number _____

Evaluate the expressions: if a = 8, b = , c = .

  1. (ab)2  _____
     
  2. bc2 _____
     

Name the property each statement illustrates:

  1. a + 0 = a _____
     
  2. 7(a + 3b) = 7(3b + a) _____
     
  3. If k = m + n, then m + n = k _____
     
  4. 4(5m + n) = 20m + 4n _____
     
  5. 6(4) = 4(6) _____

For additional problems, visit this self-correcting quiz:

http://regentsprep.org/Regents/math/realnum/propPrac.htm

Answer Key (click HERE for a printer-friendly version) (top) 

  1. y + 17
     
  2. 2y2
     
  3. 576
     
  4. 0.3
     
  5. Additive Identity Property
     
  6. Commutative Property of Addition
     
  7. Symmetric Property of Equality
     
  8. Distributive Property
     
  9. Commutative Property of Multiplication

  

Next Page: Problems 1-2