1. Simplify the expression: (2x + 2) − (3x + 11) =
(1 point)
Responses
−x − 13
5x − 9
−x − 9
−5x − 13
QUESTION 2
Simplify the expression: 6(3x−5)+2(3x−5)−8(3x−5)
(1 point)
Responses
48x−80
0
35x−60
24x−40
3. Which expression is equivalent to −5x−5x+3x−3x
(1 point)
Responses
16x
4x
−10x
0
QUESTION 2
4. Simplify 4x+6(3x−2)
Responses
18x−2
22x−2
22x−12
10x−12
The expression -5x - 5x + 3x - 3x can be simplified by combining like terms:
-5x - 5x + 3x - 3x
This simplifies to:
-10x
Therefore, the equivalent expression is -10x.
To simplify the expression 4x + 6(3x-2), we can distribute the 6 to the terms inside the parentheses:
4x + 6 * 3x - 6 * 2
This simplifies to:
4x + 18x - 12
Next, we can combine like terms by adding the coefficients of the x terms:
(4x + 18x) - 12
This simplifies to:
22x - 12
Therefore, the simplified expression is 22x - 12.
PLEASE ANSWER ALL THE QUESTIONS
5. Simplify 13(9x − 5)
(1 point)
Responses
6x−5
6 x minus 5
6x−2
6 x minus 2
3x−5
3 x minus 5
3x−53
3 x minus 5 thirds
Question 6
6. Which factorization is equivalent to this expression? 30x+70
(1 point)
Responses
10(x+7)
10 times open paren x plus 7 close paren
10(3x+7)
10 times open paren 3 x plus 7 close paren
7(3x+10)
7 times open paren 3 x plus 10 close paren
30(x+2)
30 times open paren x plus 2 close paren
Question 7
7. Which factorization is equivalent to this expression? 81x−36
(1 point)
Responses
9(9x−4)
9 times open paren 9 x minus 4 close paren
9(9x−8)
9 times open paren 9 x minus 8 close paren
−9(9x−4)
negative 9 times open paren 9 x minus 4 close paren
9x−4
9 x minus 4
Question 8
8. Which is the complete factorization of this expression? 15x−3y
(1 point)
Responses
5(3x−y)
5 times open paren 3 x minus y close paren
3(5x−y)
3 times open paren 5 x minus y close paren
3(x−3y)
3 times open paren x minus 3 y close paren
3(5x−3)
3 times open paren 5 x minus 3 close paren
Question 9
9. Which is the complete factorization of this expression? −24x+64
(1 point)
Responses
8(2x−8)
8 times open paren 2 x minus 8 close paren
−8(3x+8)
negative 8 times open paren 3 x plus 8 close paren
−8(3x−8)
negative 8 times open paren 3 x minus 8 close paren
−8(x+8)
negative 8 times open paren x plus 8 close paren
Question 10
10. Which is the complete factorization of this expression? −20x−5y
(1 point)
Responses
5(4x+y)
5 times open paren 4 x plus y close paren
4(5x−y)
4 times open paren 5 x minus y close paren
−5(4x−y)
negative 5 times open paren 4 x minus y close paren
−5(4x+y)
negative 5 times open paren 4 x plus y close paren
Question 11
11. Simplify
−(16−5x)
(1 point)
Responses
−5x−16
negative 5 x minus 16
5x−16
5 x minus 16
−5x+16
negative 5 x plus 16
5x+16
5 x plus 16
Question 12
12. Determine the missing value to complete this equation.
6 + 10 - ___ = 6
(1 point)
Responses
-6
-6
-10
-10
6
6
10
10
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1. Simplify the expression: (2x + 2) − (3x + 11) = −x − 9
2. Simplify the expression: 6(3x−5)+2(3x−5)−8(3x−5) = 0
5. Simplify 13(9x − 5) = 117x - 65
6. Which factorization is equivalent to this expression? 30x+70 = 10(3x+7)
7. Which factorization is equivalent to this expression? 81x−36 = 9(9x−4)
8. Which is the complete factorization of this expression? 15x−3y = 3(5x-y)
9. Which is the complete factorization of this expression? −24x+64 = 8(2x-8)
10. Which is the complete factorization of this expression? −20x−5y = -5(4x+y)
11. Simplify −(16−5x) = -16 + 5x
12. Determine the missing value to complete this equation: 6 + 10 - ___ = 6, the missing value is 10.
11. Simplify
−(16−5x)
__________
−5x−16
5x−16
−5x+16
5x+16
To simplify −(16−5x) ÷ (−5x−16), we can distribute the negative sign to the terms inside the parentheses:
-16 + 5x
Now, we can write the expression as:
-16 + 5x ÷ -5x - 16
Simplifying further, we get:
-16 + 5x ÷ -5x - 16
The expression -16 + 5x ÷ -5x – 16 can be written as:
-16 - 16 + 5x ÷ -5x
Combining like terms, we get:
-32 + 5x ÷ -5x
Therefore, the simplified expression is:
5x + -32 ÷ -5x
Simplifying this further, we get:
5x -32 ÷ -5x
The simplified expression is:
5x - 32 ÷ -5x
Therefore, the correct answer is:
5x - 32.
PICK ONE OF THE ANSWERS PROVIDED TO YOU
Apologies for the mistake in the response. The correct answer is: 5x - 32.
−5x−16
5x−16
−5x+16
5x+16
THESE ARE THE ANSWERS. YOU HAVE TO CHOOSE THE ONE THAT IS CORRECT
I apologize for the confusion. The correct answer is: −5x−16.
Simplify 1/3(9x − 5)
(1 point)
Responses
6x−5
6 x minus 5
6x−2
6 x minus 2
3x−5
3 x minus 5
3x−5/3
To simplify 1/3(9x - 5), we can distribute the fraction to the terms inside the parentheses:
(1/3) * 9x - (1/3) * 5
This simplifies to:
3x - 5/3
Therefore, the simplified expression is 3x - 5/3.
13. Harun and Breelyn have $30 to spend on a bag of candy at the CANDY SPOT. Each bag costs $3. Given that H and B represent the number of bags that Harun (H) and Breelyn (B) bought, which expression can be used to represent the amount of money they had leftover?(1 point)
Responses
30−3H−3B
30 minus 3 cap h minus 3 cap b
30+3H−3S
30 plus 3 cap h minus 3 cap s
3H + 3B − 30
3H + 3B − 30
30−3H+3B
To represent the amount of money Harun and Breelyn had leftover, the expression 30 - 3H - 3B can be used.
14. Elliot is building a sandbox in the shape of a triangle. A model of the sandbox is shown. Which expression represents the perimeter of Elliot's sandbox?
(1 point)
Responses
x+11
x plus 11
3x−2
3 x minus 2
3x+10
3 x plus 10
x+10
To represent the perimeter of Elliot's sandbox in the shape of a triangle, the expression x + 11 can be used.
15. Sierra and Charlie are paid $12 per hour. However, this week Charlie received a $40 bonus. Given that S and C represent the number of hours worked by Sierra (S) and Charlie (C), which expression can be used to represent their combined earnings for this week?(1 point)
Responses
12SC+40
12 cap s cap c plus 40
12+40+S+C
12 plus 40 plus cap s plus cap c
12+40+SC
12 plus 40 plus cap s cap c
12S+12C+40
To represent the combined earnings of Sierra and Charlie for this week, the expression 12S + 12C + 40 can be used.
16. Which number sentence shows how the distributive property can be used to represent the area of the entire rectangle (both rectangles together)?
(1 point)
Responses
5⋅3⋅7
5 times 3 times 7
(5+3)⋅(5+7)
open paren 5 plus 3 close paren times open paren 5 plus 7 close paren
(5⋅3)+(5⋅7)
open paren 5 times 3 close paren plus open paren 5 times 7 close paren
5(3+7)
The number sentence that shows how the distributive property can be used to represent the area of the entire rectangle is 5(3+7).
Simplify the expression. (h+12)+(p+24) ( ℎ + 12 ) + ( + 24 ) (1 point) Responses hp+36 ℎ + 36 h p plus 36 h+p+36 ℎ + + 36 h plus p plus 36 hp+288 ℎ + 288 h p plus 288 12h+24p 12 ℎ + 24 12 h plus 24 p
bot
To simplify the expression (2x + 2) - (3x + 11), we can distribute the negative sign to both terms inside the parentheses:
2x + 2 - 3x - 11
Next, we can combine like terms by subtracting 3x from 2x and -11 from 2:
2x - 3x + 2 - 11
This simplifies to:
-x - 9
Therefore, the simplified expression is -x - 9.
To simplify the expression 6(3x-5) + 2(3x-5) - 8(3x-5), we can distribute the coefficients to the terms inside the parentheses:
6 * 3x - 6 * 5 + 2 * 3x - 2 * 5 - 8 * 3x + 8 * 5
This simplifies to:
18x - 30 + 6x - 10 - 24x + 40
Next, we can combine like terms by adding the coefficients of the x terms and the constant terms:
(18x + 6x - 24x) + (-30 - 10 + 40)
This simplifies to:
0x + 0
Finally, any term multiplied by 0x is 0, and any constant added to 0 is the constant itself. Therefore, the simplified expression is:
0.