I would like to have my multiple choice answers checked.
3w-10w
A.13w
B.-7w***
C.-7w
D.7w
y=1.2y=1.2z
A.2.4yz
B.1.3y+1.2z
C.1.2y^2+1.2z
D.2.2y+1.2z***
6r+r-5r
A.2r***
B.1r+r
C.0r
D.7r-5r
5x+2(x+6)
A.7x+6***
B.7x^2+12
C.7x+12
D.7x(x+6)
-3m+3m(m+6)
A.6***
B.-6m+6
C.6m+18
D.18
Last two are wrong, I submitted and got 60%...What math did I do wrong?
2?
4 is wrong
5 answer is not given
1 and 3 are right.
To check the multiple-choice answers, we need to simplify the given expressions. Let's go through each question one by one and evaluate the expressions:
1. 3w - 10w
To simplify this expression, we combine the like terms by subtracting the coefficients of 'w'.
Answer: B. -7w
Explanation: The simplified expression is -7w because when we subtract 10w from 3w, we get -7w.
2. y = 1.2y = 1.2z
This expression seems to have a typo, as it contains two equal signs. However, assuming it should be y = 1.2y + 1.2z, we can simplify it as follows:
Combining like terms, we get:
1y - 1.2y + 1.2z
Simplifying further, we have:
-0.2y + 1.2z
Answer: D. 2.2y + 1.2z
Explanation: The simplified expression is 2.2y + 1.2z because -0.2y can be rewritten as -0.2y = -0.2 * 1y = -0.2y, and when we add the resultant term with 1.2z, we get 2.2y + 1.2z.
3. 6r + r - 5r
To simplify this expression, we combine the like terms by adding and subtracting the coefficients of 'r'.
Answer: A. 2r
Explanation: The simplified expression is 2r because 6r + r - 5r can be rewritten as 6r + r + (-5r), which simplifies to 7r + (-5r) = 2r.
4. 5x + 2(x + 6)
To simplify this expression, we distribute the coefficient of '2' to both the terms inside the parentheses and then combine like terms.
5x + 2x + 12
Combining the like terms, we have:
7x + 12
Answer: A. 7x + 6
Explanation: The simplified expression is 7x + 12, not 7x + 6 since the distribution of 2x to both terms inside the parentheses results in 5x + 2x = 7x.
5. -3m + 3m(m + 6)
To simplify this expression, we first distribute the coefficient of '3m' to both terms inside the parentheses and then combine like terms.
-3m + 3m^2 + 18m
Combining the like terms, we have:
15m + 3m^2
Answer: C. 6m + 18
Explanation: The simplified expression is 15m + 3m^2, not 6, since -3m and 18m can be added to give 15m, and the expression also includes the term 3m^2.
Please note that in question 2 and question 4, the answer options provided do not match the correct simplified expressions.