1) additive inverse property is when an integer is added to its opposite integer (ex: -3 + 3)
2. Sorry I didn’t learn signed numbers yet :(((
3. Commutative property is when you change the order of numbers in the expression but associative property is when you are regrouping numbers in the expression.
4. Absolute value is the distance between an integer and 0. And yes you can solve distance problems and grid problems using absolute value.
Let a and b be the respective rates in bricks per minute for Alex and Bob separately.
Alex lays 4 bricks per minute more than Bob
a = b + 4
Working together, their rates scale by 3/4 and they achieve 15 bricks per minutes.
(3/4)(a + b) = 15
Two equations, two unknowns, we solve:
b = a - 4
(3/4)(a + a - 4) = 15
2a - 4 = (4/3) 15 = 20
2a = 24
a = 12
b = a - 4 = 8
Answer: Alex alone does 12 bricks per minute, Bob alone 8 bricks per minute
Check: a=b+4, good
(3/4)(12 +8)=(3/4)(20)=15, good
Let the total number of workers be x
Workers earning minimum wages=24
24=15% of x
Therefore,x*15/100=24
Taking 100 to RHS,x*15=24*100
x=2400/15
=160
