Question

hw2: combine like-terms
part 3: simplify and combine like-terms.
example: $4x - 2x + (4+2) + 3x(3)$ :
example: $-7(2) + 7p - 5 + 6(3p)$ :

1. $4x - 3(4) - 5 - 9x$
2. $9(9) - 8p + 12p - 15$
3. $5(2y) + 7 - 18 - 12y + y$
4. $7t + 14 - (5 + 2) + 2(6t) - 3t$

part 4: combine like-terms with 2 variables.
example: $7x - 2y + 8y + 9x + 22 = 17x +6y +22$

1. $9 + 6x - 12y -2x + 15y - 18$
2. $8p + 4t - 2p + 12t$
3. $19h + 17m - 15h + 20 + 3m$
4. $7m - 4y - 5y - 17m + 22 - 9$

Explanation:

Part 3

Problem 1

Step1: Calculate constant products

$4x - 12 - 5 - 9x$

Step2: Combine like variable terms

$(4x - 9x) - 12 - 5$

Step3: Combine constant terms

$-5x - 17$

Problem 2

Step1: Calculate constant products

$81 - 8p + 12p - 15$

Step2: Combine like variable terms

$81 + (-8p + 12p) - 15$

Step3: Combine constant terms

$4p + 66$

Problem 3

Step1: Calculate constant products

$10y + 7 - 18 - 12y + y$

Step2: Combine like variable terms

$(10y - 12y + y) + 7 - 18$

Step3: Combine constant terms

$-y - 11$

Problem 4

Step1: Simplify parentheses and products

$7t + 14 - 7 + 12t - 3t$

Step2: Combine like variable terms

$(7t + 12t - 3t) + 14 - 7$

Step3: Combine constant terms

$16t + 7$

Part 4

Problem 1

Step1: Group like variable terms

$(6x - 2x) + (-12y + 15y) + (9 - 18)$

Step2: Combine like terms

$4x + 3y - 9$

Problem 2

Step1: Group like variable terms

$(8p - 2p) + (4t + 12t)$

Step2: Combine like terms

$6p + 16t$

Problem 3

Step1: Group like variable terms

$(19h - 15h) + (17m + 3m) + 20$

Step2: Combine like terms

$4h + 20m + 20$

Problem 4

Step1: Group like variable terms

$(7m - 17m) - 4y - 5y + (22 - 9)$

Step2: Combine like terms

$-10m - 9y + 13$

Answer:

Part 3

1. $-5x - 17$
2. $4p + 66$
3. $-y - 11$
4. $16t + 7$

Part 4

1. $4x + 3y - 9$
2. $6p + 16t$
3. $4h + 20m + 20$
4. $-10m - 9y + 13$