An expression is shown below:

4(m + 3 + 5m)

part a: write two expressions that are equivalent to the given expression. (3 points)

part b: show that one of your expressions in part a is equivalent to the given expression using algebraic properties. explain which properties you used. (4 points)

part c: show that your other expression from part a is equivalent to the given expression by substituting a number for m. (3 points)

Part A:4m + 12 + 20m

2 (2m + 6 + 10m)

Part B: 2 (2m + 6 + 10m) = 4(m + 3 + 5m)

4m + 12 + 20m = 4m + 12 + 20m

24m + 12 = 24m + 12

Part C: if m equals 2,

4(m + 3 + 5m)

compile it down

4(2 + 3 + 5 x 2)

4(5 + 5 x 2)

4(10 x 2)

4(20)

4 times 20

80

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)