Question

1. simplify:

a. $3 + 7t + 3 + 5t + 6t$
answer _____
b. $9z + 15 - 7z^2 - 7z - 3$
answer _____
c. $1 + 9(10k + 3) - 12k$
answer _____

Explanation:

Step1: Group like terms (a)

$3 + 3 + 7t + 5t + 6t$

Step2: Combine constant terms (a)

$3+3=6$

Step3: Combine variable terms (a)

$7t+5t+6t=18t$

Step4: Group like terms (b)

$-7z^2 + 9z - 7z + 15 - 3$

Step5: Combine $z$ terms (b)

$9z-7z=2z$

Step6: Combine constants (b)

$15-3=12$

Step7: Expand parentheses (c)

$1 + 90k + 27 - 12k$

Step8: Group like terms (c)

$90k - 12k + 1 + 27$

Step9: Combine $k$ terms (c)

$90k-12k=78k$

Step10: Combine constants (c)

$1+27=28$

Answer:

a. $6 + 18t$
b. $-7z^2 + 2z + 12$
c. $78k + 28$