Question

1. write 3x - 1 + 5x + 7 in simplest form.
2. find (x + 1) + (x + 1).
3. find (4x - 7) - (2x - 2)

find the gcf of each pair of monomials.

1. 3x, 12x
2. 16a, 20ab
3. 25cd, 10d

course 2 · chapter 5 expressions

Explanation:

Question 10:

Step1: Combine like terms (x terms)

$3x + 5x = 8x$

Step2: Combine constant terms

$-1 + 7 = 6$

Step3: Combine results

$8x + 6$

Step1: Remove parentheses

$(x + 1) + (x + 1) = x + 1 + x + 1$

Step2: Combine like terms (x terms)

$x + x = 2x$

Step3: Combine constant terms

$1 + 1 = 2$

Step4: Combine results

$2x + 2$

Step1: Distribute the negative sign

$(4x - 7) - (2x - 2) = 4x - 7 - 2x + 2$

Step2: Combine like terms (x terms)

$4x - 2x = 2x$

Step3: Combine constant terms

$-7 + 2 = -5$

Step4: Combine results

$2x - 5$

Answer:

$8x + 6$

Question 11: