1) The document provides solutions to identifying properties illustrated in mathematical statements. It states that statement 1 demonstrates the symmetric property by showing an equation equals itself when its left and right sides are swapped. Statement 2 demonstrates the property of division by showing both sides of an equation divided by the same number. Statement 3 demonstrates the subtraction property by subtracting the same number from both sides of an equation. Statement 4 demonstrates the multiplication property of equality by multiplying both sides of an equation by the same number.
Properties of Equality Illustrated in Word Problems
1. Name the property illustrated by each statement.
9. If t-13=52 then 52=t-13
10. If 8(2q+1)=4 , then 2(2q+1)=1
11. IF h +12=22, then h=10
12. If 4m= -15, then -12m=45
Solution
Name the property illustrated by each statement: 1) if t - 13 = 52, then 52 = t - 13. It is the
symmetric property. 2)If 8(2q+1)=4, then 2(2q+1)=1 it's the property of division because both
sides were divided by 4. (Depending on your book, it may also call it the property of
multiplication by ¼.) 3) If h + 12= 22, then h=10. subtraction property. You subtracted 12 on
both sides to change it. 4) If 4m=15, then 12m=45. Multiplication Property of equality because
you multiplied both sides by 3.
