Question

draw shapes to identify like terms. combine like term
(a) 8x + 8 + 1 + 2x
(c) g + 2h + 6g + 5
(e) 4d + 3 + 5 + 2e

Explanation:

Step1: Identify like - terms in 8x + 8+1 + 2x

Like - terms are 8x and 2x (terms with variable x), and 8 and 1 (constant terms).

Step2: Combine like - terms

$(8x + 2x)+(8 + 1)=10x+9$

Step3: Identify like - terms in g + 2h+6g + 5

Like - terms are g and 6g (terms with variable g), and there are no other like - terms for 2h and 5.

Step4: Combine like - terms

$(g + 6g)+2h + 5=7g+2h + 5$

Step5: Identify like - terms in 4d + 3+5 + 2e

Like - terms are 3 and 5 (constant terms), and there are no like - terms for 4d and 2e.

Step6: Combine like - terms

$4d+(3 + 5)+2e=4d+8+2e$

Answer:

a. $10x + 9$
c. $7g+2h + 5$
e. $4d+8+2e$