Question 2

Question

A)(2 points)
Fill in the blanks with the correct coefficients when simplifying the expression.

(14x+6y)+(5x+12y)

x+

y
Question 3
A)Which phrase could the expression 5−3x
represent?(1 point)
Responses

The sum of three times a number and five.
The sum of three times a number and five.

The product of a number and five less than three.
The product of a number and five less than three.

The difference of five and three times a number.
The difference of five and three times a number.

Five more than three times a number.
Five more than three times a number.
Question 4
A)Select all pairs of like terms in the expression 3x−4+x+7
.(2 points)
Responses

−4 and 7
−4 and 7

3x and −4
3x and −4

x and −7
x and −7

3x and x
3x and x
Question 5
A)
While Joey was in Spain, he heard the weather forecaster say it was going to be 20°C
. He wasn't sure if that was hot or cold, so he converted the temperature to degrees Fahrenheit. What is the temperature in degrees Fahrenheit?

Use F=95C+32
, where F represents degrees in Fahrenheit and C represents degrees in Celsius.



NOTE: Type the numerical whole number answer in the box to receive credit for this question.

(1 point)
$$°F
Question 6
A)What is the value of (54)−3
?(1 point)
Responses

12564
125 over 64

64125
64 over 125

−12564
negative 125 over 64

−64125
negative 64 over 125
Question 7
A)
Hans wanted to find the length of the hypotenuse of the right triangle. Which statement correctly identifies his error?

92+402=c2
18+1600=c2
1618=c2
1618−−−−√ cm = c
(1 point)
Responses

He did not square 9, he just multiplied by 2.
He did not square 9, he just multiplied by 2.

He should have added 9 + 9 to find the value of 92
.
He should have added 9 + 9 to find the value of 9 squared.

He should have subtracted the two squares to get 402−92=c2
because numbers get too large if both legs are squared and then added together.
He should have subtracted the two squares to get 40 squared minus 9 squared is equal to c squared because numbers get too large if both legs are squared and then added together.

He did not finish the problem. He should have divided 1618 by 2 to find the square root.
He did not finish the problem. He should have divided 1618 by 2 to find the square root.
Question 8
A)
Put the steps in order to simplify the expression: 14y−6+3(4y+7)
.

NOTE: Start with the given expression.

(4 points)
Arrange responses in the correct order to answer the question. Select a response, navigate to the desired position and insert response at that position. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can be moved using the up and down arrow keys or by dragging with a mouse.
Question 9
A)Which expression is equivalent to 3(a−2b)−2a+b
?(1 point)
Responses

a−5b
A minus 5 b

a−2b
A minus 2 b

−a+−7b
negative A plus negative 7 b

a+7b
A plus 7 b
Question 10
A)Identify the simplified form of the expression r−4p−8
.(1 point)
Responses

−r4−p8
negative r to the 4th power minus p to the 8th power

1r4p8
the fraction with numerator 1 and denominator r to the 4th power p to the 8th power

r4p8
the fraction with numerator r to the 4th power and denominator p to the 8th power

1r4+1p8
the fraction with numerator 1 and denominator r to the 4th power plus the fraction with numerator 1 and denominator p to the 8th power
Question 11
A)(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Sara wants to build a sandbox for her younger siblings to play in. The sandbox is a rectangle shape with a width of 24.8 inches and length of 36.4 inches. Drag and drop the correct answers into the blanks.

A=l×w
Write the equation and substitute Response area for l
and Response area for w
.

Now, simplify the equation by Response area 24.8 and 36.4.

The area of the sandbox is Response area in3

Answer 1

Sure, let's go through each question step-by-step:

Question 2

Given the expression: \[ (14x + 6y) + (5x + 12y) \]

Combine the like terms:

• For \(x\): \(14x + 5x = 19x\)
• For \(y\): \(6y + 12y = 18y\)

So the expression simplifies to: \[ 19x + 18y \]

Fill in the blanks:

• x: 19
• y: 18

Question 3

The expression \(5 - 3x\) represents:

• The difference of five and three times a number.

So the correct phrase is:

• The difference of five and three times a number.

Question 4

In the expression \(3x - 4 + x + 7\), the pairs of like terms are:

• 3x and x (both are \(x\) terms)
• −4 and 7 (both are constant terms)

Responses:

• −4 and 7
• 3x and x

Question 5

To convert 20°C to Fahrenheit using the formula \(F = \frac{9}{5}C + 32\): \[ F = \frac{9}{5}(20) + 32 \] First, calculate \(\frac{9}{5} \times 20\): \[ = 36 \] Now add 32: \[ 36 + 32 = 68 \] So the temperature in degrees Fahrenheit is:

• 68

Question 6

The value of \((54)^{-3}\): \[ = \frac{1}{54^3} = \frac{1}{12564} \] So the correct response is:

• 125 over 64 (denotes \( \frac{1}{12564} \))

Question 7

The correct identification of Hans's error is:

• He did not square 9, he just multiplied by 2.

Question 8

To simplify the expression \(14y - 6 + 3(4y + 7)\), the steps in order are:

1. Distribute \(3\) across \((4y + 7)\): \(3 \times 4y + 3 \times 7\)
2. This becomes: \(14y - 6 + 12y + 21\)
3. Combine like terms: \(14y + 12y - 6 + 21\)
4. Combine \(14y + 12y\) to get \(26y\) and \(-6 + 21\) to get \(15\).
5. The final result is: \(26y + 15\).

Question 9

To find the equivalent expression to \(3(a - 2b) - 2a + b\):

1. Distribute \(3\): \(3a - 6b - 2a + b\)
2. Combine: \((3a - 2a) + (-6b + b)\)
3. This results in: \(a - 5b\)

So the response is:

• a - 5b

Question 10

The simplified form of the expression \(r - 4p - 8\) only retains the terms. So it remains:

• r - 4p - 8 or the closest equivalent.

Question 11

For the sandbox dimensions:

• Formula: \(A = l \times w\)

1. Write the equation: \(A = 36.4 \times 24.8\)
2. Substitute: \(A = 36.4\) for \(l\) and \(24.8\) for \(w\).
3. Now simplify: \(A = 36.4 \times 24.8 = 904.32\).

The final answers are:

• The area of the sandbox is 904.32 in² (square inches).

If you need clarification on any question or more explanation, feel free to ask!