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.

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.