1B,
2C
3A
4. x + 19 True
5. a +19
6. 14.5 + x
7. x + 11
8. y +17
1) Examining those expressions we can write out:
1. 3 + 3+ y = y + 3 +3 Since both expressions yield the same result
6 + y =y +6
2. (y*y) x 3 = y (3xy)
3y² = 3y²
3. 3 x 1 x y = y x 3 Note that the 3x 1 = 3 and therefore these expressions are equivalent
2) Simplifying we have
4) This is an application of the Addition Associative Property, note: a + (b+c) = b + (c+a)
7 + (12 + x) = x + ( 12 + 7) Removing the parentheses
7+ 12 +x = x +12 +7
19 + x = x + 19 True
5. 10 + (a + 9) Removing the Parentheses
10 + a + 9
a +19
6. (6.1 + x) + 8.4 Removing the Parentheses
6.1 +x +8.4
14.5 + x
7. 6 + (5+x) Removing the Parentheses
6+ 5 + x Adding them up
x + 11
8. (14 +y) +3 Removing the Parentheses
14 + y + 3 Adding them up
y +17
3) Hence, the answers are:
1B,
2C
3A
4. x + 19 True
5. a +19
6. 14.5 + x
7. x + 11
8. y +17