Question

homework - distributive property & combining like terms
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use distributive property to simplify each expression. easy to medium problems.

1. $7(1 - 8n)$
2. $-8(b + 3)$
3. $-6(9 - 9v)$
4. $-(3x - 9)$
5. $-9(n + 6)$
6. $-10(a + 2)$
7. $(5k - 10) \cdot -9$
8. $-4(4 + 3p)$

use distributive property and combining like terms to simplify each expression. easy to medium problems.

1. $-6(x + 2) - 2$
2. $4n - (7 - 6n)$
3. $-3 - 7(-3 - 6v)$
4. $-5(a - 6) + 2a$

use distributive property and combining like terms to simplify each expression. medium problems.

1. $7(5n - 8) + 6(4 + 6n)$
2. $-(3a + 2) - 3(5a + 7)$
3. $-5(1 + 2k) - 8(-4 + 5k)$
4. $5(-3p + 7) + 5(p - 1)$
5. $-5(x + 2) + 5(x - 5)$
6. $-4(1 - 8n) - 4(8n + 4)$

use distributive property and combining like terms to simplify each expression. challenging problems.

1. $9(m + 8) + 11(3m + 4)$
2. $11(8r + 3) - 2(-9 + 6r)$
3. $7(-12x - 3) + 10(6x + 7)$
4. $-9(1 - 10n) - 2(3n + 9)$

Explanation:

$-9(n) + (-9)(6) = -9n - 54$

6) Apply distributive property

$-10(a) + (-10)(2) = -10a - 20$

7) Apply distributive property

$-9(5k) + (-9)(-10) = -45k + 90$

8) Apply distributive property

$-4(4) + (-4)(3p) = -16 - 12p$

9) Distribute then combine constants

$-6x -12 -2 = -6x -14$

10) Distribute then combine like terms

$4n -7 +6n = 10n -7$

11) Distribute then combine constants

$-3 -21 +42v = -24 +42v$

12) Distribute then combine like terms

$-5a +30 +2a = -3a +30$

13) Distribute then combine like terms

$35n -56 +24 +36n =41n -28$

14) Distribute then combine like terms

$-3a -2 -15a -21 =-18a -23$

15) Distribute then combine like terms

$-5 -10k +32 -40k =-50k +27$

16) Distribute then combine like terms

$-15p +35 +5p -5 =-10p +30$

17) Distribute then cancel variables

$-5x -10 +5x -25 =-35$

18) Distribute then cancel variables

$-4 +32n -32n -16 =-20$

19) Distribute then combine like terms

$9m +72 +33m +44 =42m +116$

20) Distribute then combine like terms

$88r +33 +18 -12r =86r +45$

21) Distribute then combine like terms

$-84x -21 +60x +70 =-24x +49$

22) Distribute then combine like terms

$-9 +90n -6n -18 =84n -27$

Answer:

$-9(n) + (-9)(6) = -9n - 54$

6) Apply distributive property

$-10(a) + (-10)(2) = -10a - 20$

7) Apply distributive property

$-9(5k) + (-9)(-10) = -45k + 90$

8) Apply distributive property

$-4(4) + (-4)(3p) = -16 - 12p$

9) Distribute then combine constants

$-6x -12 -2 = -6x -14$

10) Distribute then combine like terms

$4n -7 +6n = 10n -7$

11) Distribute then combine constants

$-3 -21 +42v = -24 +42v$

12) Distribute then combine like terms

$-5a +30 +2a = -3a +30$

13) Distribute then combine like terms

$35n -56 +24 +36n =41n -28$

14) Distribute then combine like terms

$-3a -2 -15a -21 =-18a -23$

15) Distribute then combine like terms

$-5 -10k +32 -40k =-50k +27$

16) Distribute then combine like terms

$-15p +35 +5p -5 =-10p +30$

17) Distribute then cancel variables

$-5x -10 +5x -25 =-35$

18) Distribute then cancel variables

$-4 +32n -32n -16 =-20$

19) Distribute then combine like terms

$9m +72 +33m +44 =42m +116$

20) Distribute then combine like terms

$88r +33 +18 -12r =86r +45$

21) Distribute then combine like terms

$-84x -21 +60x +70 =-24x +49$

22) Distribute then combine like terms

$-9 +90n -6n -18 =84n -27$