What is the value of the expression 9 + (fraction 1 over 2)4 ⋅ 48?

12
15
17
18
Question 2 (Fill-In-The-Blank Worth 1 points)
(06.04 LC)

If x = 2.7, 5x = ____. (Input decimals only, such as 12.7.)

Answer for Blank 1:

Question 3(Multiple Choice Worth 1 points)
(06.07 HC)

Which expression is equivalent to 12x − 8x + 3 and why?

3 + 4x, because (12x − 8x) + 3 = 4x + 3 = 3 + 4x
7x, because 12x − 8x + 3 = 4x + 3 = 7x
12x − 5, because 12x − (8x − 3) = 12x − 5
x, because 12x − 8x + 3 = 12x − 11x = x
Question 4(Multiple Choice Worth 1 points)
(06.07 MC)

Which expressions are equivalent to 3(x + 3y + 2x − y )?

3(3x + 2y) and 9x + 6y
3(3x + 4y) and 9x + 12y
3(x + 4y) and 3x + 12y
3(x + 2y) and 3x + 6y
Question 5(Multiple Choice Worth 1 points)
(06.04 MC)

What is the value of fraction 1 over 2x3 + 5.2y when x = 2 and y = 3?

8.2
9.2
18.6
19.6
Question 6(Multiple Choice Worth 1 points)
(06.06 LC)

Which of these shows 8 + 3m rewritten using the commutative property of addition?

8m + 3
8 − 3m
3m − 8
3m + 8
Question 7(Multiple Choice Worth 1 points)
(06.02 LC)

Which of these is the algebraic expression for "5 times the sum of 2 and y?"

5 ⋅ 2 + y
2 + 5 ⋅ y
2(5 + y)
5(2 + y)
Question 8(Multiple Choice Worth 1 points)
(06.06 MC)

The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:

Step 1: 8 + 12x
Step 2: 4(4) + 4(8x)
Step 3: 4(4 + 8x)
Step 4: Dimensions of the rectangle are 4 and 4 + 8x

In which step did the student first make an error and what is the correct step?

Step 2; 4(2) + 4x(2)
Step 2; 4(2) + 4(3x)
Step 3; 4 + (4 + 8x)
Step 3; 4 + (4 ⋅ 8x)
Question 9(Multiple Choice Worth 1 points)
(06.03 MC)

Which statement best describes the expression 3 + y ÷ 2?

The quotient of 2 and the sum of 3 and y
The quotient of the sum of 3 and y, and 2
The sum of 3 and the quotient of 2 and y
The sum of 3 and the quotient of y and 2
Question 10(Multiple Choice Worth 1 points)
(06.01 MC)

What is the value of the expression 22 + 62 ÷ 22?

10
13
16
36
Question 11 (Fill-In-The-Blank Worth 1 points)
(06.01 LC)

34 + 2 ⋅ 5 = ____. (Input whole numbers only.)

Numerical Answers Expected!

Answer for Blank 1:

Question 12(Multiple Choice Worth 1 points)
(06.06 LC)

Which algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2)?

Distributive property
Associative property
Commutative property of multiplication
Commutative property of addition
Question 13(Multiple Choice Worth 1 points)
(06.02 LC)

Which statement best describes the expression 4y ÷ 9?

9 divided by 4 times y
9 times y divided by 4
4 times y divided by 9
4 divided by 9 times y
Question 14(Multiple Choice Worth 1 points)
(06.07 LC)

Which expression is equal to 5p?

p + p + p + p + p
4p + 1
p + 5
p3 + p2
Question 15(Multiple Choice Worth 1 points)
(06.04 MC)

The expression to find the perimeter of a rectangle is 2(length + width). What is the perimeter, in units, of a rectangle of length fraction 1 over 5 unit and width fraction 1 over 2 unit?

fraction 1 and 2 over 5 units
fraction 1 and 1 over 5 units
fraction 4 over 7 unit
fraction 2 over 7 unit
Question 16(Multiple Choice Worth 1 points)
(06.03 MC)

Which expression shows a sum of three terms?

3x
3 + x
x3
x + 3 + x
Question 17(Multiple Choice Worth 1 points)
(06.02 MC)

Which of these is the algebraic expression for "4 less than the product of 3 and some number?"

4m − 3
3m − 4
3 − 4m
4 − 3m
Question 18(Multiple Choice Worth 1 points)
(06.03 LC)

What is the coefficient of y in the expression 2 ⋅ 4 + 3y?

2
3
7
8

Respuesta :

(a) The value of 9 + (1/2) /4 * 48

We have:

[tex]9 + (1/2) /4 * 48[/tex]

Evaluate the quotients

[tex]9 + (1/2) /4 * 48 = 9 + 1/8 * 48[/tex]

Evaluate the products

[tex]9 + (1/2) /4 * 48 = 9 + 6[/tex]

[tex]9 + (1/2) /4 * 48 = 15[/tex]

Hence, the value of the expression 9 + (1/2) /4 * 48 is 15

(b) If x = 2.7, 5x =

The value of x is given as 2.7.

So, we have:

[tex]5x = 5 * 2.7[/tex]

[tex]5x = 13.5[/tex]

Hence, the value of 5x is 13.5

(c) Equivalent expression of 12x - 8x + 3

The expression is given as: 12x - 8x + 3

So, we have:

12x - 8x + 3 = 4x + 3

Hence, the equivalent expression of 12x - 8x + 3 is 4x + 3

(d) Equivalent expression of 3(x + 3y + 2x - y)

The expression is given as: 3(x + 3y + 2x - y)

So, we have:

3(x + 3y + 2x - y) = 3(3x + 2y)

Also, we have:

3(x + 3y + 2x - y) = 9x + 6y

Hence, the equivalent expressions are 3(3x + 2y) and 9x + 6y

(e) The value of 1/2x^3 + 5.2y when x = 2 and y = 3

We have: 1/2x^3 + 5.2y

So, the expression becomes

[tex]1/2x^3 + 5.2y = 1/2 * 2^3 + 5.2 * 3[/tex]

[tex]1/2x^3 + 5.2y = 19.6[/tex]

Hence, the value of 1/2x^3 + 5.2y is 19.6

(f) The commutative property of addition of 8 + 3m

The commutative property of addition of 8 + 3m is 3m + 8

(g) The algebraic expression for "5 times the sum of 2 and y?

The algebraic expression is 5(2 + y)

(h) The error of the student

The student's first error is in step 2: 4(2) + 4x(2)

(i) The statement that describes the expression 3 + y ÷ 2

The correct statement is (d) the sum of 3 and the quotient of y and 2

(j) The value of an expression

We have:

22 + 62 ÷ 22

Evaluate

22 + 62 ÷ 22 = 24.8

Hence, the value of the expression 22 + 62 ÷ 22 is 24.8

(k) Complete the blanks

We have: 34 + 2 ⋅ 5 = ____

Represent the blank with x

34 + 2 ⋅ 5 = x

Evaluate

44 = x

Hence, the blank is 44

(l) The algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2)?

The algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2) is the  (c) commutative property of multiplication

(m) The statement that best describes the expression 4y ÷ 9

The statement is: (c) 4 times y divided by 9

(n) The expression is equal to 5p

The expression is equal to 5p is (a) p + p + p + p + p

(o) The coefficient of y in the expression 2 ⋅ 4 + 3y

The coefficient of y in the expression is 3

Read more about equivalent expressions at:

https://brainly.com/question/2972832