Essential Math 5 B - Unit 9, Lesson 6: Algebra: Numerical Expressions Unit Test
answers please
1 year ago
1 year ago
@bot
Arrange the expressions below in order from least to greatest. Place the least at the top and greatest at the bottom.
1 year ago
I apologize, but you did not provide any expressions to order. Please provide the expressions you need to be arranged in order for me to assist you.
1 year ago
@bot
Arrange the expressions below in order from least to greatest. Place the least at the top and greatest at the bottom.
(
72
รท
8
)
โ
2
ร
3
+
1
72
รท
(
8
โ
2
)
ร
3
+
1
72
รท
(
8
โ
2
)
ร
(
3
+
1
)
72
รท
8
โ
2
ร
(
3
+
1
)
1 year ago
First, let's simplify each expression:
Expression 1: ((72 รท 8) โ 2) ร 3 + 1 = (9 - 2) ร 3 + 1 = 21
Expression 2: 72 รท (8 โ 2) ร 3 + 1 = 72 รท 6 ร 3 + 1 = 37
Expression 3: 72 รท (8 โ 2) ร (3 + 1) = 72 รท 6 ร 4 = 48
Expression 4: 72 รท 8 โ 2 ร (3 + 1) = 9 - 2 ร 4 = 1
Therefore, the expressions in order from least to greatest are:
Expression 4: 1
Expression 1: 21
Expression 3: 48
Expression 2: 37
So, the order is:
1 โ 21 โ 48 โ 37
1 year ago
@bot
Drag the operation signs to make the equation true. An operation may be used once. more than once, or not at all
+โรรท
12
(
7
โ
4
)
+
5
3 = 19
1 year ago
The correct arrangement of the operation signs is:
12 รท (7 - 4) + 5 ร 3 = 19
Explanation:
(7 - 4) = 3
12 รท 3 = 4
5 ร 3 = 15
4 + 15 = 19
So, the arrangement of the operation signs is:
รท - + ร
1 year ago
Select all of the expressions that are equal to
8
ร
35
.
A.
8
ร
(
30
+
5
)
B.
5
+
3
ร
35
C.
(
8
ร
30
)
+
(
8
ร
5
)
D.
(
8
+
30
)
ร
(
8
+
5
)
E.
8
ร
(
20
+
15
)
1 year ago
The expressions that are equal to 8 ร 35 are:
A. 8 ร (30 + 5) = 8 ร 35 = 280
C. (8 ร 30) + (8 ร 5) = 240 + 40 = 280
E. 8 ร (20 + 15) = 8 ร 35 = 280
So, the correct options are A, C, and E.
1 year ago
Phillipa rode her bicycle every day over the weekend. Phillipa rode
[
(
13
.
5
+
8
.
5
)
รท
2
]
miles on Friday,
[
18
โ
(
2
ร
4
)
]
miles on Saturday and
[
20
โ
(
5
โ
3
)
]
miles on Sunday.
On which day did Phillipa ride her bicycle the most?
She rode her bicycle the most on
.
1 year ago
Phillipa rode her bicycle the following number of miles:
Friday = (13.5 + 8.5) รท 2 = 11 miles
Saturday = 18 โ (2 ร 4) = 10 miles
Sunday = 20 โ (5 โ 3) = 18 miles
Therefore, Phillipa rode her bicycle the most on Sunday with a distance of 18 miles.
1 year ago
@bot @bot @bot @bot @bot @bot
Part A
Write an expression for the number of songs they need for their show.
A.
(
11
โ
4
)
+
3
ร
11
โ
4
โ
5
B.
(
11
โ
4
)
+
3
ร
(
11
โ
4
)
โ
5
C.
(
11
โ
4
)
+
3
โ
4
ร
11
โ
5
D.
(
11
โ
4
)
+
3
โ
5
ร
(
11
โ
4
)
Part B
How many songs do they need for their show?
A.
39 songs
B.
31 songs
C.
25 songs
D.
23 songs
1 year ago
Part A: To write an expression for the number of songs they need for their show, we need to calculate the expression in one of the options.
A. (11 โ 4) + 3 ร 11 โ 4 โ 5 = 7 + 33 - 4 - 5 = 31
B. (11 โ 4) + 3 ร (11 โ 4) โ 5 = 7 + 21 - 5 = 23
C. (11 โ 4) + 3 โ 4 ร 11 โ 5 = 7 - 33 - 5 = -31
D. (11 โ 4) + 3 โ 5 ร (11 โ 4) = 7 - 35 = -28
Therefore, the expression for the number of songs they need for their show is option B:
(11 โ 4) + 3 ร (11 โ 4) โ 5
Part B: To find out how many songs they need for their show, we need to evaluate the expression in option B:
(11 โ 4) + 3 ร (11 โ 4) โ 5 = 7 + 21 - 5 = 23
Therefore, they need 23 songs for their show. The answer is option D.
1 year ago
Use the order of operations to evaluate the expression.
4
ร
(
3
4
โ
1
2
)
+
3
ร
6
A.
19
B.
20
1
2
C.
24
D.
33
1 year ago
To evaluate the expression using the order of operations, we need to follow the acronym "PEMDAS" which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
So, the expression becomes:
4 ร (3/4 - 1/2) + 3 ร 6
= 4 ร (0.75 - 0.5) + 3 ร 6
= 4 ร 0.25 + 18
= 1 + 18
= 19
Therefore, the answer is A. 19.
1 year ago
Which expression represents the following calculation?
Find 7.4 times the difference between 87 and 24.
A.
7
.
4
ร
87
โ
24
B.
24
ร
(
87
โ
7
.
4
)
C.
24
ร
87
โ
7
.
4
D.
7
.
4
ร
(
87
โ
24
)
1 year ago
The calculation is to find 7.4 times the difference between 87 and 24.
The difference between 87 and 24 is 87 - 24 = 63.
So, we need to multiply this difference by 7.4.
The expression that represents this calculation is:
D. 7.4 ร (87 - 24)
So, the answer is D. 7.4 ร (87 - 24).
1 year ago
Use the order of operations to find the value of the expression.
2
+
3
ร
16
โ
2
ร
21
โ
3
A.
5
B.
14
C.
35
D.
44
1 year ago
To evaluate the expression using the order of operations, we need to follow the acronym "PEMDAS" which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
2 + 3 ร 16 โ 2 ร 21 โ 3
= 2 + 48 - 42 - 3
= 50 - 42 - 3
= 8 - 3
= 5
Therefore, the answer is A. 5.
1 year ago
Use the order of operations to find the value of the expression.
12
รท
2
ร
3
โ
(
7
โ
5
)
A.
0
B.
6
C.
16
D.
19
1 year ago
To evaluate the expression using the order of operations, we need to follow the acronym "PEMDAS" which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
12 รท 2 ร 3 - (7 - 5)
= 6 ร 3 - 2
= 18 - 2
= 16
Therefore, the answer is C. 16.
1 year ago
Insert parentheses to make the statement true.
12
+
6
ร
11
โ
7
=
72
A.
12
+
(
6
ร
11
)
โ
7
=
72
B.
12
+
6
ร
(
11
โ
7
)
=
72
C.
(
12
+
6
)
ร
11
โ
7
=
72
D.
(
12
+
6
)
ร
(
11
โ
7
)
=
72
1 year ago
To insert parentheses to make the statement true, we need to follow the order of operations. Multiplication needs to be done before addition and subtraction.
A. 12 + (6 ร 11) โ 7 = 12 + 66 - 7 = 71 (not equal to 72)
B. 12 + 6 ร (11 โ 7) = 12 + 6 ร 4 = 36 (not equal to 72)
C. (12 + 6) ร 11 โ 7 = 18 ร 11 - 7 = 191 (not equal to 72)
D. (12 + 6) ร (11 โ 7) = 18 ร 4 = 72 (equal to 72)
Therefore, the correct option is D. (12 + 6) ร (11 โ 7) = 72.
1 year ago
Determine which of the expressions could be used to represent the following calculation:
Divide the difference between 96 and 72 by 12.
Select all that apply.
A.
(
96
โ
72
)
รท
12
B.
96
โ
(
72
รท
12
)
C.
(
96
รท
12
)
โ
72
D.
24
รท
12
E.
96
รท
6
1 year ago
The calculation is to divide the difference between 96 and 72 by 12.
The difference between 96 and 72 is 96 - 72 = 24.
So, we need to divide this difference by 12.
The expression that represents this calculation is:
A. (96 - 72) รท 12
Also, we can simplify option C:
(96 รท 12) โ 72 = 8 - 72 = -64
Option D is just 2 which is not equal to the expression we need.
Option E is 96 รท 6 which is just 16 and not equal to the expression we need.
So, only options A and B are valid expressions for the given calculation.
Therefore, the correct options are A and B.