1. 3w-10w.
A.
B.-7w Answer
C.
D.
2. y+1.2y+1.2z
A.
B.
C.
D. 2.2y+1.2z Answer
3. 6r + r -5r
A.2r Answer
B.
C.
D.
4. 5x +2(x + 6) Answer
A.
B.
C.7x+ 12
D.
5. -3m+3(m+6)Answer
A.
B.
C.
D.18
I agree with all of your answers, good job! 😊
By the way, can you please choose a slightly more appropriate username. "xXWolfieHackerXx" would be fine. I'm just not a big fan of the other word on a homework help site. Thanks!
Is "Wolfie" helping others cheat?? Only one answer per set? How obvious is that!!
Hmmmm … ¯\_(ツ)_/¯
No I was trying to see if my answers were correct
1. To simplify the expression 3w - 10w, we can combine like terms. Like terms have the same variable and the same exponent. In this case, both terms have the variable w with an exponent of 1.
To combine the terms, we need to determine their coefficients. The coefficient for the first term, 3w, is 3. The coefficient for the second term, -10w, is -10.
To combine the terms, we subtract the second term's coefficient from the first term's coefficient:
3w - 10w = (3 - 10)w = -7w
Therefore, the simplified expression is -7w. So, the answer to question 1 is option B: -7w.
2. To simplify the expression y+1.2y+1.2z, we can combine like terms. Like terms have the same variable and the same exponent. In this case, the terms y and 1.2y are like terms because they both have the variable y with an exponent of 1.
To combine these terms, we add their coefficients. The coefficient for the first term, y, is 1. The coefficient for the second term, 1.2y, is 1.2.
Adding the coefficients of these terms gives us:
y + 1.2y = (1 + 1.2)y = 2.2y
Therefore, the simplified expression is 2.2y+1.2z. So, the answer to question 2 is option D: 2.2y+1.2z.
3. To simplify the expression 6r + r - 5r, we can combine like terms. Like terms have the same variable and the same exponent. In this case, all the terms have the variable r with an exponent of 1.
To combine these terms, we add or subtract their coefficients. The coefficient for the first term, 6r, is 6. The coefficient for the second term, r, is 1. The coefficient for the third term, -5r, is -5.
Adding and subtracting the coefficients of these terms gives us:
6r + r - 5r = (6 + 1 - 5)r = 2r
Therefore, the simplified expression is 2r. So, the answer to question 3 is option A: 2r.
4. To simplify the expression 5x + 2(x + 6), we need to apply the distributive property. The distributive property states that multiplying a number or variable by a sum or difference is the same as multiplying the number or variable by each term in the sum or difference and then combining like terms.
In this expression, the term 2 is being multiplied by the sum (x + 6). To apply the distributive property, we multiply 2 by each term inside the parentheses:
2(x + 6) = 2x + 2(6) = 2x + 12
Now, we can simplify the expression by combining like terms. The like terms in this case are 5x and 2x. They both have the variable x with an exponent of 1.
Combining the like terms gives us:
5x + 2x + 12 = (5 + 2)x + 12 = 7x + 12
Therefore, the simplified expression is 7x + 12. So, the answer to question 4 is option C: 7x + 12.
5. To simplify the expression -3m + 3(m + 6), we need to apply the distributive property. The distributive property states that multiplying a number or variable by a sum or difference is the same as multiplying the number or variable by each term in the sum or difference and then combining like terms.
In this expression, the term 3 is being multiplied by the sum (m + 6). To apply the distributive property, we multiply 3 by each term inside the parentheses:
3(m + 6) = 3m + 3(6) = 3m + 18
Now, we can simplify the expression by combining like terms. The like terms in this case are -3m and 3m. They both have the variable m with an exponent of 1.
Combining the like terms gives us:
-3m + 3m + 18 = (-3 + 3)m + 18 = 0m + 18 = 18
Therefore, the simplified expression is 18. So, the answer to question 5 is option D: 18.