Question

student name: _____________hw2: combine like-terms /32part 2: combine the like-terms.example: $5x + 4 + 7x + 12$: __$12x + 16$__example: $5 + 9x - 4 - 2x - 15$: __$7x - 14$____1. $3x + 16 + 8x - 23$2. $9 + p - 9p - 10 - 16p$3. $8t - 3 - 12t + 14$4. $15 - 9x + 12x - 10$5. $2 - 9h + (-5) - (-4h)$6. $y + 3 - 7y + 12 + 10y$7. $12x - 2x - (-2) + (-14x)$8. $8z - 4z + 9z - z + 3z$

Explanation:

Step1: Group like terms (x, constants)

$3x + 8x + 16 - 23$

Step2: Combine like terms

$(3+8)x + (16-23)$
$11x -7$

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Step1: Group like terms (p, constants)

$p -9p -16p +9 -10$

Step2: Combine like terms

$(1-9-16)p + (9-10)$
$-24p -1$

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Step1: Group like terms (t, constants)

$8t -12t -3 +14$

Step2: Combine like terms

$(8-12)t + (-3+14)$
$-4t +11$

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Step1: Group like terms (x, constants)

$-9x +12x +15 -10$

Step2: Combine like terms

$(-9+12)x + (15-10)$
$3x +5$

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Step1: Simplify signs, group like terms

$2 -5 -9h +4h$

Step2: Combine like terms

$(2-5) + (-9+4)h$
$-3 -5h$

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Step1: Group like terms (y, constants)

$y -7y +10y +3 +12$

Step2: Combine like terms

$(1-7+10)y + (3+12)$
$4y +15$

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Step1: Simplify signs, group like terms

$12x -2x -14x +2$

Step2: Combine like terms

$(12-2-14)x +2$
$-4x +2$

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Step1: Group like terms (z)

$8z -4z +9z -z +3z$

Step2: Combine like terms

$(8-4+9-1+3)z$
$15z$

Answer:

1. $11x - 7$
2. $-24p - 1$
3. $-4t + 11$
4. $3x + 5$
5. $-5h - 3$
6. $4y + 15$
7. $-4x + 2$
8. $15z$