1. 3w – 10w
a. 13w
b. –7w <---------------------------
c. –7
d. 7w
2. y + 1.2y +1.2z
a. 2.4yz
b. 1.3y + 1.2z
c. 1.2y2 + 1.2z <-------------------
d. 2.2y + 1.2z
3. 6r + r – 5r
a. 2r <--------------------
b. 1r + r
c. 0r
d. 7r – 5r
4. 5x + 2(x + 6)
a. 7x + 6
b. 7x2 + 12 <--------------------
c. 7x + 12
d. 7x (x + 6)
5. –3m + 3(m + 6)
a. 6
b. –6m + 6
c. 6m + 18 <-------------------
d. 18
Don't Trust Princess27!!!
The real answers are:
1. B
2. D
3. A
4. C
5. D
GOD IS THE WITNESS THAT THESE ARE THE ANSWERS!!! 100% CORRECT
1. yes
2. no
3. yes
4. yes
5. no
Is 2. a and 5. b
2.
1y+1.2 y = 2.2 y
so
2.2 y + 1.2 d
5.
-3m + 3m + 18
= 0 + 18
1.A
2.B
3.A
4.C
5.D
To simplify or solve each expression, you need to follow the proper order of operations, which is often remembered as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
1. 3w - 10w
To solve this expression, you need to combine like terms, which means adding or subtracting terms that have the same variable and exponent. In this case, both terms have the variable "w" and an exponent of 1.
Start by subtracting the coefficients (numbers in front of the variable):
3w - 10w = (-7w)
The simplified expression is -7w. So, the correct answer is option b. -7w.
2. y + 1.2y + 1.2z
Again, you need to combine like terms. In this expression, both terms have the variable "y" and no common exponent, so you can add them together.
Start by adding the coefficients:
y + 1.2y = (1 + 1.2)y = 2.2y
Now, you have 2.2y + 1.2z. None of the terms can be combined further, so the correct answer is option c. 1.2y^2 + 1.2z.
3. 6r + r - 5r
This expression also requires combining like terms. In this case, all three terms have the variable "r" and an exponent of 1.
Start by adding or subtracting the coefficients:
6r + r - 5r = (6 + 1 - 5)r = 2r
The simplified expression is 2r. So, the correct answer is option a. 2r.
4. 5x + 2(x + 6)
Here, you need to apply the Distributive Property by multiplying the coefficient outside the parentheses with each term inside.
Start by multiplying 2 by each term inside the parentheses:
2(x + 6) = 2x + 2(6) = 2x + 12
Now, you have 5x + 2x + 12. Combine like terms by adding the coefficients:
5x + 2x + 12 = (5 + 2)x + 12 = 7x + 12
The simplified expression is 7x + 12. So, the correct answer is option c. 7x + 12.
5. -3m + 3(m + 6)
Similar to the previous problem, you need to distribute the coefficient outside the parentheses.
Start by multiplying 3 by each term inside the parentheses:
3(m + 6) = 3m + 3(6) = 3m + 18
Now, you have -3m + 3m + 18. The -3m and 3m terms cancel each other out (because they have the same coefficient but opposite signs), leaving only the constant term:
-3m + 3m + 18 = 0m + 18 = 18
The simplified expression is 18. So, the correct answer is option d. 18.
All correct from Arthur but #2. #2 is B.
1. B
2. B
3. A
4. C
5. D