Question

kuta software - infinite algebra 1
combining like terms
name
date
simplify each expression.

1. $-6k + 7k$
2. $12r - 8 - 12$
3. $n - 10 + 9n - 3$
4. $-4x - 10x$
5. $-r - 10r$
6. $-2x + 11 + 6x$
7. $11r - 12r$
8. $-v + 12v$
9. $-8x - 11x$
10. $4p + 2p$
11. $5n + 11n$
12. $n + 4 - 9 - 5n$
13. $12r + 5 + 3r - 5$
14. $-5 + 9n + 6$

Explanation:

Step1: Combine like terms for 1)

$(-6+7)k = 1k = k$

Step2: Combine constants for 2)

$12r + (-8-12) = 12r - 20$

Step3: Group like terms for 3)

$(n+9n)+(-10-3)=10n-13$

Step4: Combine like terms for 4)

$(-4-10)x = -14x$

Step5: Combine like terms for 5)

$(-1-10)r = -11r$

Step6: Group like terms for 6)

$(-2x+6x)+11=4x+11$

Step7: Combine like terms for 7)

$(11-12)r = -r$

Step8: Combine like terms for 8)

$(-1+12)v = 11v$

Step9: Combine like terms for 9)

$(-8-11)x = -19x$

Step10: Combine like terms for 10)

$(4+2)p = 6p$

Step11: Combine like terms for 11)

$(5+11)n = 16n$

Step12: Group like terms for 12)

$(n-5n)+(4-9)=-4n-5$

Step13: Group like terms for 13)

$(12r+3r)+(5-5)=15r+0=15r$

Step14: Group like terms for 14)

$9n+(-5+6)=9n+1$

Answer:

1. $k$
2. $12r - 20$
3. $10n - 13$
4. $-14x$
5. $-11r$
6. $4x + 11$
7. $-r$
8. $11v$
9. $-19x$
10. $6p$
11. $16n$
12. $-4n - 5$
13. $15r$
14. $9n + 1$