Question

homework
distribute & combine like terms assignment
simplify by distributing (when necessary) and combining like terms

1. $-5(3x + 1) + x$
2. $17 - (8x - 2)$
3. $8 + 5(2b + 4)$
4. $6x + 8(-2x - 5y)$
5. $6 - 2(4 - a) + 3a$
6. $4a + 2b - a + 8b$
7. $-8(x - 1) + x$
8. $2x - (x + 9)$
9. $-10(2a - 5b) - 5a$

Explanation:

Step1: Distribute the coefficient

Problem 2:

$8 + 5(2b + 4) = 8 + 10b + 20$

Problem 3:

$6 - 2(4 - a) + 3a = 6 - 8 + 2a + 3a$

Problem 4:

$17 - (8c - 2) = 17 - 8c + 2$

Problem 5:

$6x + 8(-2x - 5y) = 6x - 16x - 40y$

Problem 6:

$4a + 2b - a + 8b$ (no distribution needed)

Problem 7:

$-6(x - 1) + x = -6x + 6 + x$

Problem 8:

$2x - (x + 9) = 2x - x - 9$

Problem 9:

$-10(2a - 5b) - 5a = -20a + 50b - 5a$

Step2: Combine like terms

Problem 2:

$8 + 20 + 10b = 28 + 10b$

Problem 3:

$6 - 8 + (2a + 3a) = -2 + 5a$

Problem 4:

$17 + 2 - 8c = 19 - 8c$

Problem 5:

$(6x - 16x) - 40y = -10x - 40y$

Problem 6:

$(4a - a) + (2b + 8b) = 3a + 10b$

Problem 7:

$(-6x + x) + 6 = -5x + 6$

Problem 8:

$(2x - x) - 9 = x - 9$

Problem 9:

$(-20a - 5a) + 50b = -25a + 50b$

Answer:

1. $16x + 3$ (already completed correctly)
2. $10b + 28$
3. $5a - 2$
4. $-8c + 19$
5. $-10x - 40y$
6. $3a + 10b$
7. $-5x + 6$
8. $x - 9$
9. $-25a + 50b$