Question

kuta software - infinite pre-algebra
name
simplifying variable expressions
date
p
simplify each expression.

1. $-3p + 6p$
2. $b - 3 + 6 - 2b$
3. $7x - x$
4. $7p - 10p$
5. $-10v + 6v$
6. $-9r + 10r$
7. $9 + 5r - 9r$
8. $1 - 3v + 10$
9. $5n + 9n$
10. $4b + 6 - 4$
11. $35n - 1 + 46$
12. $-33v - 49v$
13. $30n + 8n$
14. $7x + 31x$
15. $10x + 36 - 38x - 47$
16. $-2(7 - n) + 4$
17. $-8(-5b + 7) + 5b$
18. $-4p - (1 - 6p)$
19. $4 - 5(-4n + 3)$
20. $-7(k - 8) + 2k$
21. $1 + 7(1 - 3b)$
22. $3 - 8(7 - 5n)$

Explanation:

Step1: Combine like terms

$(-3+6)p = 3p$

Step2: Combine like terms

$(1-2)b + (-3+6) = -b + 3$

Step3: Combine like terms

$(7-1)x = 6x$

Step4: Combine like terms

$(7-10)p = -3p$

Step5: Combine like terms

$(-10+6)v = -4v$

Step6: Combine like terms

$(-9+10)r = r$

Step7: Combine like terms

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

Step8: Combine like terms

$(1+10) - 3v = 11 - 3v$

Step9: Combine like terms

$(5+9)n = 14n$

Step10: Combine like terms

$4b + (6-4) = 4b + 2$

Step11: Combine like terms

$35n + (-1+46) = 35n + 45$

Step12: Combine like terms

$(-33-49)v = -82v$

Step13: Combine like terms

$(30+8)n = 38n$

Step14: Combine like terms

$(7+31)x = 38x$

Step15: Combine like terms

$(10-38)x + (36-47) = -28x - 11$

Step16: Distribute then combine terms

$-14 + 2n + 4 = 2n - 10$

Step17: Distribute then combine terms

$40b - 56 + 5b = 45b - 56$

Step18: Distribute then combine terms

$-4p -1 + 6p = 2p - 1$

Step19: Distribute then combine terms

$4 + 20n - 15 = 20n - 11$

Step20: Distribute then combine terms

$-7k + 56 + 2k = -5k + 56$

Step21: Distribute then combine terms

$1 + 7 - 21b = 8 - 21b$

Step22: Distribute then combine terms

$3 - 56 + 40n = 40n - 53$

Answer:

1. $3p$
2. $-b + 3$
3. $6x$
4. $-3p$
5. $-4v$
6. $r$
7. $9 - 4r$
8. $11 - 3v$
9. $14n$
10. $4b + 2$
11. $35n + 45$
12. $-82v$
13. $38n$
14. $38x$
15. $-28x - 11$
16. $2n - 10$
17. $45b - 56$
18. $2p - 1$
19. $20n - 11$
20. $-5k + 56$
21. $8 - 21b$
22. $40n - 53$