To simplify the expression (2x + 2) - (3x + 11):
We can first distribute the negative sign to the terms inside the parentheses: -1 * 3x = -3x and -1 * 11 = -11.
Now the expression becomes: 2x + 2 - 3x - 11.
Next, we can combine like terms. The terms 2x and -3x can be added together to give -x. And the terms 2 and -11 can be added together to give -9.
So the simplified expression is: -x - 9.
Therefore, the correct option is: −x − 9.
Simplify the expression: (2x + 2) − (3x + 11) =
(1 point)
Responses
−5x − 13
−5x − 13
−x − 9
−x − 9
5x − 9
5x − 9
−x − 13
33 answers
2. Simplify the expression: 6(3x−5)+2(3x−5)−8(3x−5)
(1 point)
Responses
35x−60
35 x minus 60
24x−40
24 x minus 40
0
0
48x−80
(1 point)
Responses
35x−60
35 x minus 60
24x−40
24 x minus 40
0
0
48x−80
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 - 5) becomes 18x - 30.
2(3x - 5) becomes 6x - 10.
8(3x - 5) becomes 24x - 40.
Now the expression becomes: 18x - 30 + 6x - 10 - 24x + 40.
Next, we can combine like terms. The terms 18x, 6x, and -24x can be added together to give -0x or simply 0.
The terms -30, -10, and 40 can be added together to give 0.
So the simplified expression is: 0.
Therefore, the correct option is: 0.
We can distribute the coefficients to the terms inside the parentheses:
6(3x - 5) becomes 18x - 30.
2(3x - 5) becomes 6x - 10.
8(3x - 5) becomes 24x - 40.
Now the expression becomes: 18x - 30 + 6x - 10 - 24x + 40.
Next, we can combine like terms. The terms 18x, 6x, and -24x can be added together to give -0x or simply 0.
The terms -30, -10, and 40 can be added together to give 0.
So the simplified expression is: 0.
Therefore, the correct option is: 0.
3. Which expression is equivalent to −5x−5x+3x−3x
(1 point)
Responses
4x
4 x
−10x
negative 10 x
16x
16 x
0
(1 point)
Responses
4x
4 x
−10x
negative 10 x
16x
16 x
0
To simplify the expression -5x - 5x + 3x - 3x:
We can group the like terms together:
The terms -5x and -5x can be added together to give -10x.
The terms 3x and -3x can be added together to give 0.
So the expression simplifies to: -10x + 0.
Simplifying further, we can remove the "+ 0" term, leaving us with just -10x.
Therefore, the correct option is: -10x.
We can group the like terms together:
The terms -5x and -5x can be added together to give -10x.
The terms 3x and -3x can be added together to give 0.
So the expression simplifies to: -10x + 0.
Simplifying further, we can remove the "+ 0" term, leaving us with just -10x.
Therefore, the correct option is: -10x.
4. Simplify 4x+6(3x−2)
(1 point)
Responses
10x−12
10 x minus 12
18x−2
18 x minus 2
22x−12
22 x minus 12
22x−2
22 x minus 2
Question 5
5. Simplify 13(9x − 5)
(1 point)
Responses
3x−5
3 x minus 5
6x−2
6 x minus 2
3x−53
3 x minus 5 thirds
6x−5
(1 point)
Responses
10x−12
10 x minus 12
18x−2
18 x minus 2
22x−12
22 x minus 12
22x−2
22 x minus 2
Question 5
5. Simplify 13(9x − 5)
(1 point)
Responses
3x−5
3 x minus 5
6x−2
6 x minus 2
3x−53
3 x minus 5 thirds
6x−5
To simplify the expression 4x + 6(3x - 2):
We can distribute the coefficient 6 to the terms inside the parentheses:
6 * 3x = 18x
6 * -2 = -12
So the expression becomes: 4x + 18x - 12
Next, we can combine like terms. The terms 4x and 18x can be added together to give 22x.
So the simplified expression is: 22x - 12.
Therefore, the correct option is: 22x - 12.
To simplify the expression 13(9x - 5):
We can distribute the coefficient 13 to the terms inside the parentheses:
13 * 9x = 117x
13 * -5 = -65
So the expression becomes: 117x - 65.
Therefore, the correct option is: 117x - 65.
We can distribute the coefficient 6 to the terms inside the parentheses:
6 * 3x = 18x
6 * -2 = -12
So the expression becomes: 4x + 18x - 12
Next, we can combine like terms. The terms 4x and 18x can be added together to give 22x.
So the simplified expression is: 22x - 12.
Therefore, the correct option is: 22x - 12.
To simplify the expression 13(9x - 5):
We can distribute the coefficient 13 to the terms inside the parentheses:
13 * 9x = 117x
13 * -5 = -65
So the expression becomes: 117x - 65.
Therefore, the correct option is: 117x - 65.
4. Simplify 4x+6(3x−2)
(1 point)
Responses
10x−12
10 x minus 12
18x−2
18 x minus 2
22x−12
22 x minus 12
22x−2
22 x minus 2
Question 5
5. Simplify 13(9x − 5)
(1 point)
Responses
3x−5
3 x minus 5
6x−2
6 x minus 2
3x−53
3 x minus 5 thirds
6x−5
(1 point)
Responses
10x−12
10 x minus 12
18x−2
18 x minus 2
22x−12
22 x minus 12
22x−2
22 x minus 2
Question 5
5. Simplify 13(9x − 5)
(1 point)
Responses
3x−5
3 x minus 5
6x−2
6 x minus 2
3x−53
3 x minus 5 thirds
6x−5
To simplify the expression 4x + 6(3x - 2):
First, we can distribute the coefficient 6 to the terms inside the parentheses:
6 * 3x = 18x
6 * -2 = -12
So the expression becomes: 4x + 18x - 12.
Next, we can combine like terms. The terms 4x and 18x can be added together to give 22x.
So the simplified expression is 22x - 12.
Therefore, the correct option is: 22x - 12.
To simplify the expression 13(9x - 5):
We can distribute the coefficient 13 to the terms inside the parentheses:
13 * 9x = 117x
13 * -5 = -65
So the expression becomes: 117x - 65.
Therefore, the correct option is: 117x - 65.
First, we can distribute the coefficient 6 to the terms inside the parentheses:
6 * 3x = 18x
6 * -2 = -12
So the expression becomes: 4x + 18x - 12.
Next, we can combine like terms. The terms 4x and 18x can be added together to give 22x.
So the simplified expression is 22x - 12.
Therefore, the correct option is: 22x - 12.
To simplify the expression 13(9x - 5):
We can distribute the coefficient 13 to the terms inside the parentheses:
13 * 9x = 117x
13 * -5 = -65
So the expression becomes: 117x - 65.
Therefore, the correct option is: 117x - 65.
4. Simplify 4x+6(3x−2)
(1 point)
Responses
10x−12
10 x minus 12
18x−2
18 x minus 2
22x−12
22 x minus 12
22x−2
(1 point)
Responses
10x−12
10 x minus 12
18x−2
18 x minus 2
22x−12
22 x minus 12
22x−2
To simplify the expression 4x + 6(3x - 2):
First, we can distribute the 6 to the terms inside the parentheses:
6 * 3x = 18x
6 * -2 = -12
So the expression becomes: 4x + 18x - 12.
Next, we can combine like terms. The terms 4x and 18x can be added together to give 22x.
So the simplified expression is 22x - 12.
Therefore, the correct option is: 22x - 12.
First, we can distribute the 6 to the terms inside the parentheses:
6 * 3x = 18x
6 * -2 = -12
So the expression becomes: 4x + 18x - 12.
Next, we can combine like terms. The terms 4x and 18x can be added together to give 22x.
So the simplified expression is 22x - 12.
Therefore, the correct option is: 22x - 12.
5. Simplify 1/3(9x − 5)
(1 point)
Responses
3x−5
3 x minus 5
6x−2
6 x minus 2
3x−5/3
3 x minus 5 thirds
6x−5
(1 point)
Responses
3x−5
3 x minus 5
6x−2
6 x minus 2
3x−5/3
3 x minus 5 thirds
6x−5
To simplify the expression 1/3(9x - 5):
First, we distribute 1/3 to the terms inside the parentheses:
1/3 * 9x = 3x
1/3 * -5 = -5/3
So the expression becomes: 3x - 5/3.
Therefore, the correct option is: 3x - 5/3.
First, we distribute 1/3 to the terms inside the parentheses:
1/3 * 9x = 3x
1/3 * -5 = -5/3
So the expression becomes: 3x - 5/3.
Therefore, the correct option is: 3x - 5/3.
6. Which factorization is equivalent to this expression? 30x+70
(1 point)
Responses
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
10(x+7)
10 times open paren x plus 7 close paren
10(3x+7)
(1 point)
Responses
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
10(x+7)
10 times open paren x plus 7 close paren
10(3x+7)
To factorize the expression 30x + 70:
We can see that both 30 and 70 have a common factor of 10.
So we can factor out the common factor of 10 from each term:
10 * 3x = 30x
10 * 7 = 70
Therefore, the correct factorization is: 10(3x + 7).
We can see that both 30 and 70 have a common factor of 10.
So we can factor out the common factor of 10 from each term:
10 * 3x = 30x
10 * 7 = 70
Therefore, the correct factorization is: 10(3x + 7).
7. Which factorization is equivalent to this expression? 81x−36
(1 point)
Responses
−9(9x−4)
negative 9 times open paren 9 x minus 4 close paren
9(9x−4)
9 times open paren 9 x minus 4 close paren
9x−4
9 x minus 4
9(9x−8)
(1 point)
Responses
−9(9x−4)
negative 9 times open paren 9 x minus 4 close paren
9(9x−4)
9 times open paren 9 x minus 4 close paren
9x−4
9 x minus 4
9(9x−8)
To factorize the expression 81x - 36:
We can see that both 81 and 36 have a common factor of 9.
So we can factor out the common factor of 9 from each term:
9 * 9x = 81x
9 * -4 = -36
Therefore, the correct factorization is: 9(9x - 4).
We can see that both 81 and 36 have a common factor of 9.
So we can factor out the common factor of 9 from each term:
9 * 9x = 81x
9 * -4 = -36
Therefore, the correct factorization is: 9(9x - 4).
8. Which is the complete factorization of this expression? 15x−3y
(1 point)
Responses
3(5x−y)
3 times open paren 5 x minus y close paren
5(3x−y)
5 times open paren 3 x minus y close paren
3(5x−3)
3 times open paren 5 x minus 3 close paren
3(x−3y)
(1 point)
Responses
3(5x−y)
3 times open paren 5 x minus y close paren
5(3x−y)
5 times open paren 3 x minus y close paren
3(5x−3)
3 times open paren 5 x minus 3 close paren
3(x−3y)
To fully factorize the expression 15x - 3y:
First, we can find the greatest common factor (GCF) of the terms:
The GCF of 15x and 3y is 3.
Next, we can factor out the GCF from each term:
3 * 5x = 15x
3 * -y = -3y
Therefore, the complete factorization is: 3(5x - y).
First, we can find the greatest common factor (GCF) of the terms:
The GCF of 15x and 3y is 3.
Next, we can factor out the GCF from each term:
3 * 5x = 15x
3 * -y = -3y
Therefore, the complete factorization is: 3(5x - y).
9. Which is the complete factorization of this expression? −24x+64
(1 point)
Responses
−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
8(2x−8)
8 times open paren 2 x minus 8 close paren
−8(3x+8)
(1 point)
Responses
−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
8(2x−8)
8 times open paren 2 x minus 8 close paren
−8(3x+8)
To fully factorize the expression -24x + 64:
First, we can find the greatest common factor (GCF) of the terms:
The GCF of -24x and 64 is 8.
Next, we can factor out the GCF from each term:
8 * -3x = -24x
8 * 8 = 64
Therefore, the complete factorization is: -8(3x - 8).
First, we can find the greatest common factor (GCF) of the terms:
The GCF of -24x and 64 is 8.
Next, we can factor out the GCF from each term:
8 * -3x = -24x
8 * 8 = 64
Therefore, the complete factorization is: -8(3x - 8).
10. Which is the complete factorization of this expression? −20x−5y
(1 point)
Responses
−5(4x+y)
negative 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)
(1 point)
Responses
−5(4x+y)
negative 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)
To fully factorize the expression -20x - 5y:
First, we can find the greatest common factor (GCF) of the terms:
The GCF of -20x and -5y is 5.
Next, we can factor out the GCF from each term:
5 * -4x = -20x
5 * -y = -5y
Therefore, the complete factorization is: -5(4x - y).
First, we can find the greatest common factor (GCF) of the terms:
The GCF of -20x and -5y is 5.
Next, we can factor out the GCF from each term:
5 * -4x = -20x
5 * -y = -5y
Therefore, the complete factorization is: -5(4x - y).
11. Simplify
−(16−5x)
(1 point)
Responses
5x+16
5 x plus 16
−5x−16
negative 5 x minus 16
−5x+16
negative 5 x plus 16
5x−16
−(16−5x)
(1 point)
Responses
5x+16
5 x plus 16
−5x−16
negative 5 x minus 16
−5x+16
negative 5 x plus 16
5x−16
To simplify the expression -(16 - 5x):
We can start by simplifying the expression within the parentheses. Since we are subtracting (16 - 5x), we can distribute the negative sign to both terms inside the parentheses:
-(16 - 5x) becomes -16 + 5x.
So the expression simplifies to: -16 + 5x.
Therefore, the correct option is: -16 + 5x.
We can start by simplifying the expression within the parentheses. Since we are subtracting (16 - 5x), we can distribute the negative sign to both terms inside the parentheses:
-(16 - 5x) becomes -16 + 5x.
So the expression simplifies to: -16 + 5x.
Therefore, the correct option is: -16 + 5x.
Simplify - (16 - 5x)
To simplify the expression -(16 - 5x):
We can start by simplifying the expression within the parentheses.
-(16 - 5x) can be rewritten as -16 + (-1) * (-5x), which gives -16 + 5x.
So, the simplified expression is -16 + 5x.
Therefore, the correct option is: -16 + 5x.
We can start by simplifying the expression within the parentheses.
-(16 - 5x) can be rewritten as -16 + (-1) * (-5x), which gives -16 + 5x.
So, the simplified expression is -16 + 5x.
Therefore, the correct option is: -16 + 5x.
12. Determine the missing value to complete this equation.
6 + 10 - ___ = 6
(1 point)
Responses
6
6
-10
-10
-6
-6
10
6 + 10 - ___ = 6
(1 point)
Responses
6
6
-10
-10
-6
-6
10
To determine the missing value to complete the equation 6 + 10 - ___ = 6:
We need to find the value that, when subtracted from the sum of 6 and 10, will result in 6.
The sum of 6 and 10 is 16.
To obtain 6, we need to subtract 10 from 16.
Therefore, the missing value is 10.
So the correct option is: 10.
We need to find the value that, when subtracted from the sum of 6 and 10, will result in 6.
The sum of 6 and 10 is 16.
To obtain 6, we need to subtract 10 from 16.
Therefore, the missing value is 10.
So the correct option is: 10.
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
3H + 3B − 30
3H + 3B − 30
30−3H+3B
30 minus 3 cap h plus 3 cap b
30−3H−3B
30 minus 3 cap h minus 3 cap b
30+3H−3S
Responses
3H + 3B − 30
3H + 3B − 30
30−3H+3B
30 minus 3 cap h plus 3 cap b
30−3H−3B
30 minus 3 cap h minus 3 cap b
30+3H−3S
To represent the amount of money that Harun and Breelyn had leftover, we need to consider their initial budget and the cost of the bags they bought.
Harun and Breelyn initially had $30, and each bag costs $3.
So the total amount spent on bags would be 3H + 3B (where H represents the number of bags Harun bought and B represents the number of bags Breelyn bought).
To find the amount of money they had leftover, we need to subtract the total amount spent on bags from their initial budget of $30.
Therefore, the correct expression to represent the amount of money they had leftover is: 30 - 3H - 3B.
Harun and Breelyn initially had $30, and each bag costs $3.
So the total amount spent on bags would be 3H + 3B (where H represents the number of bags Harun bought and B represents the number of bags Breelyn bought).
To find the amount of money they had leftover, we need to subtract the total amount spent on bags from their initial budget of $30.
Therefore, the correct expression to represent the amount of money they had leftover is: 30 - 3H - 3B.
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
12+40+SC
12 plus 40 plus cap s cap c
12S+12C+40
12 cap s plus 12 cap c plus 40
12SC+40
12 cap s cap c plus 40
12+40+S+C
Responses
12+40+SC
12 plus 40 plus cap s cap c
12S+12C+40
12 cap s plus 12 cap c plus 40
12SC+40
12 cap s cap c plus 40
12+40+S+C
To represent the combined earnings of Sierra and Charlie for this week, we need to consider their hourly rate of $12 and the number of hours each of them worked.
Sierra is represented by S and Charlie is represented by C.
Sierra's earnings would be calculated as 12S (since $12 per hour multiplied by the number of hours S).
Charlie's earnings would be calculated as 12C (since $12 per hour multiplied by the number of hours C).
Additionally, Charlie received a $40 bonus.
To represent their combined earnings, we need to add Sierra's earnings, Charlie's earnings, and the bonus together.
Therefore, the correct expression to represent their combined earnings for this week is: 12S + 12C + 40.
Sierra is represented by S and Charlie is represented by C.
Sierra's earnings would be calculated as 12S (since $12 per hour multiplied by the number of hours S).
Charlie's earnings would be calculated as 12C (since $12 per hour multiplied by the number of hours C).
Additionally, Charlie received a $40 bonus.
To represent their combined earnings, we need to add Sierra's earnings, Charlie's earnings, and the bonus together.
Therefore, the correct expression to represent their combined earnings for this week is: 12S + 12C + 40.
1 answer