Question

distribute, and then combine like terms

1. 2(3x + 4) + 6 10. 3(x + 4) + 2x

1. 4(2x + 3y) + 7x 12. 8(3 - 2f) + 3

1. (9n + 6)(4) + 3n 14. 5m + 7(2 + 8m)

1. 6(x + y) + x 16. 3 + 9(2n + 1) + 4n

Explanation:

Step1: Distribute the coefficient

Problem 9:

$2(3x + 4) + 6 = 6x + 8 + 6$

Problem 10:

$3(x + 4) + 2x = 3x + 12 + 2x$

Problem 11:

$4(2x + 3y) + 7x = 8x + 12y + 7x$

Problem 12:

$8(3 - 2f) + 3 = 24 - 16f + 3$

Problem 13:

$(9n + 6)(4) + 3n = 36n + 24 + 3n$

Problem 14:

$5m + 7(2 + 8m) = 5m + 14 + 56m$

Problem 15:

$6(x + y) + x = 6x + 6y + x$

Problem 16:

$3 + 9(2n + 1) + 4n = 3 + 18n + 9 + 4n$

Step2: Combine like terms

Problem 9:

$6x + (8 + 6) = 6x + 14$

Problem 10:

$(3x + 2x) + 12 = 5x + 12$

Problem 11:

$(8x + 7x) + 12y = 15x + 12y$

Problem 12:

$(24 + 3) - 16f = 27 - 16f$

Problem 13:

$(36n + 3n) + 24 = 39n + 24$

Problem 14:

$(5m + 56m) + 14 = 61m + 14$

Problem 15:

$(6x + x) + 6y = 7x + 6y$

Problem 16:

$(18n + 4n) + (3 + 9) = 22n + 12$

Answer:

1. $6x + 14$
2. $5x + 12$
3. $15x + 12y$
4. $27 - 16f$
5. $39n + 24$
6. $61m + 14$
7. $7x + 6y$
8. $22n + 12$