Which two statements are correct when simplifying this expression?
12 + 6(3x − 2)
Responses
A First, calculate 6(3x − 2)First, calculate 6(3x − 2)
B First, calculate 12 + 6.First, calculate 12 + 6.
C 12 + 6(3x − 2) = 54x − 3612 + 6(3x − 2) = 54x − 36
D 12 + 6(3x − 2) = 18x12 + 6(3x − 2) = 18x
E 12 + 6(3x − 2) = 18x − 24
The correct statements when simplifying the expression 12 + 6(3x − 2) are:
A) First, calculate 6(3x − 2).
E) 12 + 6(3x − 2) = 18x − 24.
Which expression is equivalent to 1/4
x − 36?
Responses
A 14
(x + 144)1 4 (x + 144)
B 14
(x − 144)1 4 (x − 144)
C 14
(x − 9)1 4 (x − 9)
D 4x − 9
The expression that is equivalent to 1/4x − 36 is:
C) 14(x − 9)1/4 (x − 9).
Which expression in equivalent to 2 (4x - 9)?
3
Responses
A
8x - 18
3
8 x - 18 3
B
8x - 9
3
8 x - 9 3
C
8 (x + 18)
3
8 ( x + 18) 3
D
8 (x - 12)
3
8 ( x - 12) 3
The expression that is equivalent to 2(4x - 9) ÷ 3 is:
D) 8(x - 12) ÷ 3.
are you sure?
Apologies for the incorrect response. Let's solve the expression correctly:
2(4x - 9) ÷ 3
To simplify this expression, we distribute the 2 to both terms inside the parentheses:
8x - 18 ÷ 3
Now, we divide -18 by 3:
8x - 6
So, the correct expression that is equivalent to 2(4x - 9) ÷ 3 is:
B) 8x - 6.
Simplify 3 - (4x - 5) + 6.
Responses
A 12x + 2112x + 21
B 4x + 144x + 14
C 4x + 44x + 4
D -4x + 14-4x + 14
E -4x + 4-4x + 4
To simplify 3 - (4x - 5) + 6:
First, we distribute the negative sign to the terms inside the parentheses:
3 - 4x + 5 + 6
Next, we can combine like terms:
(3 + 5 + 6) - 4x
Simplifying the numbers:
14 - 4x
So the correct expression is:
E) -4x + 14
Read It!
There is a popular type of doll in Japan called daruma. These round, hollow dolls have a purpose. The dolls are usually purchased as part of a New Year's resolution. First, the buyer writes what he or she hopes to achieve on the daruma's back. At that point, the eyes have not been painted. After writing on the doll, one eye is painted on. The buyer puts the doll where it can be seen often. It is a reminder of the resolution. When the resolution has been achieved, the other eye is painted. This practice encourages people to make positive changes in their lives.
Do It!
The dolls represent people's _________.
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A friendships
B ancestors
C emotions
D goals