Math Problem Statement
Simplify the following algebraic expressions:
a. 5p + 6p - 3p
b. 8m - 3m - 2m + 7m
c. 8x - 5x + 7x
d. 4xy + 6xy - 3xy - 2xy
e. 12y - 4y + 5y
f. 8k + 4k + 2k - 5k
g. 8xy + 2xy + 5xy
h. 9a + 2a + 3a - 7a
i. 6m - 3m + 10m
j. 11p + 5p - 7p
k. 5a + 7a + 3a + 6a
l. 6ab - 3ab - ab + 2ab
Solution
I can see the image you uploaded, which contains a series of algebraic expressions that need simplification. I'll solve each expression step by step:
a. 5p+6p−3p
5p+6p−3p=(5+6−3)p=8p
b. 8m−3m−2m+7m
8m−3m−2m+7m=(8−3−2+7)m=10m
c. 8x−5x+7x
8x−5x+7x=(8−5+7)x=10x
d. 4xy+6xy−3xy−2xy
4xy+6xy−3xy−2xy=(4+6−3−2)xy=5xy
e. 12y−4y+5y
12y−4y+5y=(12−4+5)y=13y
f. 8k+4k+2k−5k
8k+4k+2k−5k=(8+4+2−5)k=9k
g. 8xy+2xy+5xy
8xy+2xy+5xy=(8+2+5)xy=15xy
h. 9a+2a+3a−7a
9a+2a+3a−7a=(9+2+3−7)a=7a
i. 6m−3m+10m
6m−3m+10m=(6−3+10)m=13m
j. 11p+5p−7p
11p+5p−7p=(11+5−7)p=9p
k. 5a+7a+3a+6a
5a+7a+3a+6a=(5+7+3+6)a=21a
l. 6ab−3ab−ab+2ab
6ab−3ab−ab+2ab=(6−3−1+2)ab=4ab
Would you like more details on any of these simplifications, or have further questions? Here are 5 related questions for practice:
- Simplify 10x+3x−5x.
- What is the result of 7m−2m+m−6m?
- How would you simplify 4p+9p−5p?
- Combine like terms for 3ab+6ab−2ab.
- Simplify 12a−5a+2a−6a.
Tip: Always group like terms first when simplifying algebraic expressions.