Simplify the expression.
(h+12)+(p+24)
(1 point)
Responses
hp+36
h p plus 36
h+p+36
h plus p plus 36
hp+288
h p plus 288
12h+24p
h+p+36
Simplify the expression.
9/4x+4+2x
(1 point)
Responses
15x+12
15 x plus 12
5x+4
5 x plus 4
x+4
x plus 4
113x+4
11 thirds x plus 4
5x+4
Simplify the expression.
(5y−1)+(−2y+4)
(1 point)
Responses
3y−5
3 y minus 5
7y+3
7 y plus 3
3y+3
3 y plus 3
7y−5
3y+3
Simplify the expression.
(3/4x−1)+(3/4x−2)
(1 point)
Responses
1
1
34x+1
3 fourths x plus 1
-3
-3
3/2x−3
3/2x-3
Simplify the expression.
7x+3(x−2)−4x+8
(1 point)
Responses
6x+14
6 x plus 14
6x+2
6 x plus 2
14x+2
14 x plus 2
14x+14
14 x plus 14
6x+14
Simplify the expression.
(3x−8)+(2x+5)−(4x−8)
(1 point)
Responses
9x−11
9 x minus 11
x+5
x plus 5
9x+5
9 x plus 5
x−11
x-11
Which expression is equivalent to 2.2−0.5(0.6x−1.8)
?(1 point)
Responses
1.3−0.3x
1 point 3 minus 0 point 3 x
0.3x+1.3
0 point 3 x plus 1 point 3
0.3x+3.1
0 point 3 x plus 3 point 1
3.1−0.3x
3.1-0.3x
Simplify.
−6(1/4x−2/3x+5/6x)
(1 point)
Responses
−x
negative x
−212x
negative 2 and 1 half x
34x
3 fourths x
2x
2 x
2x
Simplify.
−1/2(−6x+3)
(1 point)
Responses
−3x−3
negative 3 x minus 3
−3x+32
negative 3 x plus 3 halves
3x+3
3 x plus 3
3x−3/2
3x-3
Simplify.
11−9(−2x−3)
(1 point)
Responses
−4x−6
negative 4 x minus 6
18x−38
18 x minus 38
−4x+6
negative 4 x plus 6
18x+38
18x+38
Question
Factor this expression completely.
35x−40
(1 point)
Responses
7(5x+8)
7 times open paren 5 x plus 8 close paren
7(5x−8)
7 times open paren 5 x minus 8 close paren
5(7x+8)
5 times open paren 7 x plus 8 close paren
5(7x−8)
5(7x-8)
Factor the expression completely.
45x−18y+36
(1 point)
Responses
5(9x−2y+4)
5 times open paren 9 x minus 2 y plus 4 close paren
−9(5x+2y+4)
negative 9 times open paren 5 x plus 2 y plus 4 close paren
9(5x−2y+4)
9 times open paren 5 x minus 2 y plus 4 close paren
9y(5x−2y+4)
9(5x - 2y + 4)
Factor this expression completely.
−21x+28
(1 point)
Responses
−7(3x−4)
negative 7 times open paren 3 x minus 4 close paren
−7(3x+4)
negative 7 times open paren 3 x plus 4 close paren
7(3x−4)
7 times open paren 3 x minus 4 close paren
−(21x−4)
-7(3x-4)
Which factorization is equivalent to this expression?
−42k−54
(1 point)
Responses
−6(7k−9)
negative 6 times open paren 7 k minus 9 close paren
6(−7k+9)
6 times open paren negative 7 k plus 9 close paren
−6(7k+9)
negative 6 times open paren 7 k plus 9 close paren
6(7k+9)
-6(7k+9)
Factor the expression completely.
100x+1000
(1 point)
Responses
10(10x+100)
10 times open paren 10 x plus 100 close paren
100(x+10)
100 times open paren x plus 10 close paren
100(x+100)
100 times open paren x plus 100 close paren
1000(10x+1)
100(x+10)
Simplify.
3−(4x−5)+6
(1 point)
Responses
−4x+14
negative 4 x plus 14
4x+4
4 x plus 4
12x+21
12 x plus 21
−4x+4
-4x+14
Ella Grace bought 5 plants for her backyard for $20 each and 3 chairs for her firepit for $20 each. She used this expression to calculate the total amount she spent.
(5⋅20)+(3⋅20)
What is another expression to calculate the total amount spent?
(1 point)
Responses
5⋅(20+3)
5 times open paren 20 plus 3 close paren
(5+3)⋅20
open paren 5 plus 3 close paren times 20
(5+20)⋅(3+20)
open paren 5 plus 20 close paren times open paren 3 plus 20 close paren
5⋅20⋅3
5⋅(20+3)
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
(9+6)⋅(9+11)
open paren 9 plus 6 close paren times open paren 9 plus 11 close paren
9⋅6⋅11
9 times 6 times 11
11(6+9)
11 times open paren 6 plus 9 close paren
(9⋅6)+(9⋅11)
open paren 9 times 6 close paren plus open paren 9 times 11 close paren
(9⋅6)+(9⋅11)
Charity and Sabria both are nail artists. Charity charges $75 for a set of nails with designs and Sabria charges $70 for the same type set of nails. This week Charity made an additional $65 in tips and Sabria made an additional $95 in tips. Given that C and S represent the number of sets of nails completed by Charity (C) and Sabria (S), which expression can be used to represent their combined earnings for the week.(1 point)
Responses
145CS + 160
145CS + 160
145(C + S) + 160
145(C + S) + 160
75C + 70S + 160
75C + 70S + 160
65C + 70S + 160
75C + 70S + 160
Christine(C) and Ty(T) save quarters in a jar together. The jar had $28 in it, then Christine put in C quarters and Ty put in T quarters. Which expression can be used to represent the amount of money in the bank now?(1 point)
Responses
CT + 28
CT + 28
0.50(C + T) + 28
0.50(C + T) + 28
0.25C + 0.25T + 28
0.25C + 0.25T + 28
0.25FJ + 28
0.25C + 0.25T + 28
21. A ribbon 6 1/8 feet in length is shortened by having 2 1/12
feet cut off one end. What is the length of the shortened ribbon?(1 point)
Responses
4924
feet
4 and 9 over 24 feet
4124
feet
4 and 1 over 24 feet
3524
feet
3 and 5 over 24 feet
4 5/24
feet
4 5/24 feet
Simplify the expression.
0.625+3/4
(1 point)
Responses
118
11 eighths
32
3 halves
119
11 ninths
811
8 over 11
1.375
thats not even a answer choice
I apologize for the mistake in my response. The correct simplification of the expression 0.625 + 3/4 is indeed 1.375.
here are the anser choices you unhinged robot
118
11 eighths
32
3 halves
119
11 ninths
811
8 over 11
I apologize for the confusion. The correct simplification of the expression 0.625 + 3/4 is indeed 11/8.
Divide.
−4/17÷−3/4
(1 point)
Responses
−317
negative 3 over 17
317
3 over 17
−1651
negative 16 over 51
16/51
16/51
Question
At Georgia Connections Academy, 2/5
of the students are in a club. Of the students in a club, 1/4
participate in eSports club. What fraction of the students at GACA participate in eSports?(1 point)
Responses
110
1 tenth
15
1 fifth
29
2 ninths
2/3
To find the fraction of students at GACA who participate in eSports, we need to multiply the fractions representing the proportion of students in a club and the proportion of students in the eSports club:
(2/5) * (1/4) = 2/20 = 1/10
Therefore, the fraction of students at GACA who participate in eSports is 1/10.
Mr. Brokaw's class has 60 students, 1/4
of the students needed help for an upcoming test. If Mr. Brokaw equally divides the students that need help into 5 small groups, how many students are in each group?(1 point)
Responses
15
15
12
12
3
3
5
To find the number of students in each group, we need to multiply the fraction representing the proportion of students who need help (1/4) by the total number of students (60) and then divide by the number of groups (5):
(1/4) * 60 / 5 = 15
Therefore, there are 15 students in each group.