Question

1. $\frac{1}{2}m + 4 - 1 + 3.5m$
2. $\frac{3}{4}r + 2.5r + 6 - 1.2$
3. $(6y + 5) - (3y + 43)$
4. $(8a - 7) - (5a + 1.2)$

Explanation:

Problem 3: $\boldsymbol{\frac{1}{2}m + 4 - 1 + 3.5m}$

Step1: Combine like terms (m terms)

$\frac{1}{2}m$ is $0.5m$, so $0.5m + 3.5m = (0.5 + 3.5)m = 4m$

Step2: Combine constant terms

$4 - 1 = 3$

Step3: Combine results

$4m + 3$

Step1: Combine like terms (r terms)

$\frac{3}{4}r$ is $0.75r$, so $0.75r + 2.5r = (0.75 + 2.5)r = 3.25r$

Step2: Combine constant terms

$6 - 1.2 = 4.8$

Step3: Combine results

$3.25r + 4.8$

Step1: Distribute the negative sign

$6y + 5 - 3y - 43$

Step2: Combine like terms (y terms)

$6y - 3y = 3y$

Step3: Combine constant terms

$5 - 43 = -38$

Step4: Combine results

$3y - 38$

Answer:

$4m + 3$

Problem 4: $\boldsymbol{\frac{3}{4}r + 2.5r + 6 - 1.2}$