alexis.stokes
alexis.stokes 1d ago โ€ข 0 views

Assessment questions for the four properties of equality

Hey there, math whiz! ๐Ÿ‘‹ Struggling with the properties of equality? Don't sweat it! This guide breaks it down with easy-to-understand explanations and a quiz to test your knowledge. Let's get started! ๐Ÿค“
๐Ÿงฎ Mathematics

1 Answers

โœ… Best Answer
User Avatar
brucehall2002 Jan 7, 2026

๐Ÿ“š Quick Study Guide

  • ๐Ÿ”ข The Addition Property of Equality: If $a = b$, then $a + c = b + c$. Adding the same value to both sides maintains equality.
  • โž– The Subtraction Property of Equality: If $a = b$, then $a - c = b - c$. Subtracting the same value from both sides maintains equality.
  • โœ–๏ธ The Multiplication Property of Equality: If $a = b$, then $a \* c = b \* c$. Multiplying both sides by the same value maintains equality.
  • โž— The Division Property of Equality: If $a = b$ and $c \neq 0$, then $\frac{a}{c} = \frac{b}{c}$. Dividing both sides by the same non-zero value maintains equality.

โœ๏ธ Practice Quiz

  1. What property of equality is demonstrated by the following: If $x = y$, then $x + 5 = y + 5$?
    1. Addition Property
    2. Subtraction Property
    3. Multiplication Property
    4. Division Property
  2. What property of equality is demonstrated by the following: If $a = b$, then $a - 3 = b - 3$?
    1. Addition Property
    2. Subtraction Property
    3. Multiplication Property
    4. Division Property
  3. What property of equality is demonstrated by the following: If $m = n$, then $4m = 4n$?
    1. Addition Property
    2. Subtraction Property
    3. Multiplication Property
    4. Division Property
  4. What property of equality is demonstrated by the following: If $p = q$, then $\frac{p}{2} = \frac{q}{2}$?
    1. Addition Property
    2. Subtraction Property
    3. Multiplication Property
    4. Division Property
  5. Using the properties of equality, solve for $x$: $x + 7 = 12$
    1. $x = 19$
    2. $x = 5$
    3. $x = -5$
    4. $x = -19$
  6. Using the properties of equality, solve for $y$: $y - 4 = 8$
    1. $y = 4$
    2. $y = -4$
    3. $y = 12$
    4. $y = -12$
  7. Using the properties of equality, solve for $z$: $3z = 15$
    1. $z = 45$
    2. $z = -5$
    3. $z = 5$
    4. $z = -45$
Click to see Answers
  1. A
  2. B
  3. C
  4. D
  5. B
  6. C
  7. C

Join the discussion

Please log in to post your answer.

Log In

Earn 2 Points for answering. If your answer is selected as the best, you'll get +20 Points! ๐Ÿš€