The correct answers are:
1. −x − 9
2. 0
3. 0
4. 22x−2
5. 117x-65
6. 10(3x+7)
7. 9(9x−4)
8. 3(x−3y)
9. −8(3x−8)
10. −5(4x+y)
11. 16 - 5x
12. 10
(1 point)
Responses
−x − 9
−x − 9
−x − 13
−x − 13
−5x − 13
−5x − 13
5x − 9
5x − 9
Question 2
2. Simplify the expression: 6(3x−5)+2(3x−5)−8(3x−5)
(1 point)
Responses
0
0
35x−60
35 x minus 60
24x−40
24 x minus 40
48x−80
48 x minus 80
Question 3
3. Which expression is equivalent to −5x−5x+3x−3x
(1 point)
Responses
0
0
16x
16 x
−10x
negative 10 x
4x
4 x
Question 4
4. Simplify 4x+6(3x−2)
(1 point)
Responses
22x−12
22 x minus 12
10x−12
10 x minus 12
18x−2
18 x minus 2
22x−2
22 x minus 2
Question 5
5. Simplify 13(9x − 5)
(1 point)
Responses
6x−5
6 x minus 5
3x−53
3 x minus 5 thirds
3x−5
3 x minus 5
6x−2
6 x minus 2
Question 6
6. Which factorization is equivalent to this expression? 30x+70
(1 point)
Responses
10(3x+7)
10 times open paren 3 x plus 7 close paren
30(x+2)
30 times open paren x plus 2 close paren
7(3x+10)
7 times open paren 3 x plus 10 close paren
10(x+7)
10 times open paren x plus 7 close paren
Question 7
7. Which factorization is equivalent to this expression? 81x−36
(1 point)
Responses
9(9x−8)
9 times open paren 9 x minus 8 close paren
9(9x−4)
9 times open paren 9 x minus 4 close paren
9x−4
9 x minus 4
−9(9x−4)
negative 9 times open paren 9 x minus 4 close paren
Question 8
8. Which is the complete factorization of this expression? 15x−3y
(1 point)
Responses
3(x−3y)
3 times open paren x minus 3 y close paren
3(5x−y)
3 times open paren 5 x minus y close paren
3(5x−3)
3 times open paren 5 x minus 3 close paren
5(3x−y)
5 times open paren 3 x minus y close paren
Question 9
9. Which is the complete factorization of this expression? −24x+64
(1 point)
Responses
−8(x+8)
negative 8 times open paren x plus 8 close paren
−8(3x+8)
negative 8 times open paren 3 x plus 8 close paren
8(2x−8)
8 times open paren 2 x minus 8 close paren
−8(3x−8)
negative 8 times open paren 3 x minus 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
−5(4x−y)
negative 5 times open paren 4 x minus 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 plus y close paren
Question 11
11. Simplify
−(16−5x)
(1 point)
Responses
5x−16
5 x minus 16
5x+16
5 x plus 16
−5x−16
negative 5 x minus 16
−5x+16
negative 5 x plus 16
Question 12
12. Determine the missing value to complete this equation.
6 + 10 - ___ = 6
(1 point)
Responses
10
10
-10
-10
6
6
-6
-6
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1. −x − 9
2. 0
3. 0
4. 22x−2
5. 117x-65
6. 10(3x+7)
7. 9(9x−4)
8. 3(x−3y)
9. −8(3x−8)
10. −5(4x+y)
11. 16 - 5x
12. 10
A.
Some populations of women still do not have voting rights today.
B.
Many people did not believe that women should be given voting rights.
C.
There were not any male suffragists that joined the fight for women's voting rights.
D.
Women gained the right to control their property before they were give the right to vote.
Multiple Choice Question
Part B:
Which sentence from the article BEST provides support for the correct answer in Part A?
A.
Imagine living in the country known as the "home of the free" but not having the most
fundamental right in a free society—the right to vote. (paragraph 1)
B.
At that time, women did not have many rights. (paragraph 2)
C.
Activists were yelled at, beaten, and jailed for expressing their views. (paragraph 4)
D.
Without the determination of the suffragists, American women would not have voting rights. (paragraph 5)
Part A: B. Many people did not believe that women should be given voting rights.
Part B: D. Without the determination of the suffragists, American women would not have voting rights. (paragraph 5)
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
30 minus 3 cap h plus 3 cap b
Question 2
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+10
3 x plus 10
x+10
x plus 10
3x−2
3 x minus 2
Question 3
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+S+C
12 plus 40 plus cap s plus cap c
12+40+SC
12 plus 40 plus cap s cap c
12SC+40
12 cap s cap c plus 40
12S+12C+40
12 cap s plus 12 cap c plus 40
Question 4
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 open paren 3 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
5 times 3 times 7
(5+3)⋅(5+7)
open paren 5 plus 3 close paren times open paren 5 plus 7 close paren
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13. 30−3H−3B
14. x+10
15. 12S+12C+40
16. (5⋅3)+(5⋅7)
To simplify the expression (2x + 2) − (3x + 11), we need to distribute the negative sign to both terms inside the second parentheses. This gives us:
2x + 2 - 3x - 11
Next, we combine like terms by subtracting 3x from 2x and subtracting 11 from 2:
(2x - 3x) + (2 - 11) = -x - 9
Therefore, the simplified expression is -x - 9.
Question 2:
To simplify the expression 6(3x-5) + 2(3x-5) - 8(3x-5), we can use the distributive property to multiply each coefficient with the terms inside the parentheses. This gives us:
(6 * 3x - 6 * 5) + (2 * 3x - 2 * 5) - (8 * 3x - 8 * 5)
Simplifying further, we have:
(18x - 30) + (6x - 10) - (24x - 40)
Next, we combine like terms by adding or subtracting coefficients:
(18x + 6x - 24x) + (-30 - 10 + 40)
Which simplifies to:
0x + 0 = 0
Therefore, the simplified expression is 0.
Question 3:
To simplify the expression -5x - 5x + 3x - 3x, we can combine like terms by adding or subtracting coefficients:
-5x - 5x + 3x - 3x = -10x + 0x = -10x
Therefore, the simplified expression is -10x.
Question 4:
To simplify the expression 4x + 6(3x-2), we can use the distributive property to multiply the coefficient 6 with the terms inside the parentheses. This gives us:
4x + 6 * 3x - 6 * 2
Simplifying further, we have:
4x + 18x - 12
Next, we combine like terms by adding coefficients:
(4x + 18x) - 12 = 22x - 12
Therefore, the simplified expression is 22x - 12.
Question 5:
To simplify the expression 13(9x - 5), we can use the distributive property to multiply the coefficient 13 with the terms inside the parentheses. This gives us:
13 * 9x - 13 * 5
Simplifying further, we have:
117x - 65
Therefore, the simplified expression is 117x - 65.
Question 6:
To determine the factorization equivalent to the expression 30x + 70, we need to find two numbers that multiply to give 70 and add up to give 30.
The factorization that meets this condition is 10(3x + 7).
Therefore, the factorization equivalent to the expression 30x + 70 is 10(3x + 7).
Question 7:
To determine the factorization equivalent to the expression 81x - 36, we need to find two numbers that multiply to give -36 and add up to give 81.
The factorization that meets this condition is 9(9x - 4).
Therefore, the factorization equivalent to the expression 81x - 36 is 9(9x - 4).
Question 8:
To find the complete factorization of the expression 15x - 3y, we can factor out the greatest common factor from both terms.
The greatest common factor of 15x and -3y is 3. Factoring 3 out gives us:
3(x - y)
Therefore, the complete factorization of the expression 15x - 3y is 3(x - y).
Question 9:
To find the complete factorization of the expression -24x + 64, we can factor out the greatest common factor from both terms.
The greatest common factor of -24x and 64 is 8. Factoring 8 out gives us:
8(-3x + 8)
Therefore, the complete factorization of the expression -24x + 64 is 8(-3x + 8).
Question 10:
To find the complete factorization of the expression -20x - 5y, we can factor out the greatest common factor from both terms.
The greatest common factor of -20x and -5y is 5. Factoring 5 out gives us:
5(-4x - y)
Therefore, the complete factorization of the expression -20x - 5y is 5(-4x - y).
Question 11:
To simplify the expression -(16-5x), we can distribute the negative sign to the term inside the parentheses. This gives us:
-16 + 5x
Therefore, the simplified expression is -16 + 5x.
Question 12:
To determine the missing value in the equation 6 + 10 - ___ = 6, we need to solve for the missing value.
Given that 6 + 10 - ___ = 6, we can subtract 6 and 10 from both sides of the equation to isolate the missing value:
6 + 10 - ___ = 6
16 - ___ = 6
Next, we can subtract 16 from both sides:
16 - ___ = 6
- ___ = -10
Therefore, the missing value is -10.
So, distributing the negative sign:
(2x + 2) - (3x + 11) = 2x + 2 - 3x - 11
Combining like terms:
2x - 3x + 2 - 11 = -x - 9
Therefore, the simplified expression is -x - 9.