5-6 Adding Linear Expressions

Simplify the expression: (-4y - 1) + (-9y - 2)

• -15y - 4

• -5y - 2

• -10y - 1

• -13y - 3

Answer explanation

Combine like terms: (-4y - 9y) + (-1 - 2) = -13y - 3. Thus, the simplified expression is -13y - 3, which is the correct answer.

Simplify the expression: (6h + 2) + (-7h - 8)

• -h + 2

• 6h - 6

• -h + 8

• -h - 6

Answer explanation

To simplify (6h + 2) + (-7h - 8), combine like terms: 6h - 7h = -h and 2 - 8 = -6. Thus, the expression simplifies to -h - 6, which is the correct answer.

Simplify the expression: (-4s + 9) + (4s - 6)

• -10

• -2

• 7

• 3

Answer explanation

Combine like terms: (-4s + 4s) + (9 - 6) = 0s + 3 = 3. Thus, the simplified expression is 3.

Simplify the expression: (s - 6) + (8s + 4)

• 7s + 10

• 10s + 4

• 9s - 2

• 8s - 2

Answer explanation

To simplify (s - 6) + (8s + 4), combine like terms: s + 8s = 9s and -6 + 4 = -2. Thus, the expression simplifies to 9s - 2, which is the correct answer.

Simplify the expression: (8b + 7) + (2b - 9)

• 6b - 2

• 8b - 9

• 10b - 2

• 10b + 2

Answer explanation

To simplify (8b + 7) + (2b - 9), combine like terms: 8b + 2b = 10b and 7 - 9 = -2. Thus, the expression simplifies to 10b - 2, which is the correct answer.

Simplify the expression: (-3c + 6) + (-c + 8)

• -2c + 10

• -5c + 12

• -4c + 10

• -4c + 14

Answer explanation

Combine like terms: (-3c - c) + (6 + 8) = -4c + 14. Thus, the simplified expression is -4c + 14, which is the correct answer.

Simplify the expression: (-6n - 6) + (8n - 6)

• -2n + 12

• 2n - 12

• -2n - 6

• 2n + 6

Answer explanation

Combine like terms: (-6n + 8n) + (-6 - 6) = 2n - 12. Thus, the simplified expression is 2n - 12, which is the correct answer.

Simplify the expression: (-9m + 9) + (8m + 8)

• -m + 17

• -m + 16

• -m + 9

• -m + 8

Answer explanation

Combine like terms: (-9m + 8m) + (9 + 8) = -m + 17. Thus, the simplified expression is -m + 17, which matches the correct answer choice.

Simplify the expression: (7z + 1) + (-4z - 5)

• 2z + 6

• 3z - 4

• 5z - 4

• 3z + 5

Answer explanation

Combine like terms: (7z - 4z) + (1 - 5) = 3z - 4. Thus, the simplified expression is 3z - 4, which is the correct answer.

Simplify the expression: (-n + 7) + (-7n + 6)

• -6n + 13

• -7n + 8

• -8n + 13

• -9n + 12

Answer explanation

Combine like terms: (-n - 7n) + (7 + 6) = -8n + 13. Thus, the simplified expression is -8n + 13, which is the correct answer.