Question

Represent the following sentence as an algebraic expression, where "a number" is the letter x.
The quotient of a number and 9.
The quotient of a number and 9.
The quotient of a number and 9.
Answer
Represent the following sentence as an algebraic expression, where "a number" is the letter x.
The quotient of a number and 9.
Answer
Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.
2 plus the cube of a number.
Answer
A triangle has side lengths of left bracket, 3, q, plus, 1, right bracket
(
3
�
+
1
)
(3q+1) centimeters, left bracket, 5, q, minus, 3, right bracket
(
5
�
−
3
)
(5q−3) centimeters, and left bracket, r, minus, 9, right bracket
(
�
−
9
)
(r−9) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer
Multiple Choice Answers
8, q, minus, 11, plus, r
8
�
−
11
+
�
8q−11+r
minus, 8, r, plus, 2, plus, 4, q
−
8
�
+
2
+
4
�
−8r+2+4q
minus, 8, r, plus, 6, q
−
8
�
+
6
�
−8r+6q
minus, 2, plus, 8, q, minus, 8, r
−
2
+
8
�
−
8
�
−2+8q−8r
Answer
What is the value of the expression below when z, equals, 6
�
=
6
z=6?
8, z, plus, 9
8
�
+
9
8z+9
Answer
Drag the numbers below to put them in order from least to greatest:
minus, 1, point, 8
−
1.8
−1.8 minus, 13, point, 6
−
13.6
−13.6 minus, 7
−
7
−7 minus, 17, point, 4
−
17.4
−17.4 2, point, 7
2.7
2.7 minus, 7, point, 2
−
7.2
−7.2
Answer
theses numbers from least to greatest:
-16.3, -17.6, -2.1, -16.4 , 16 , -1.7
Answer
these numbers from least to greatest: 6.1, 5.92, 6.03, 6.084, 6.04, 6.007
Answer
Point S is located at minus, 12
−
12
−12. Points T and U are each 6
6
6 units away from Point S. Where are T and U located?
Answer
Evaluate the expression shown below and write your answer as a fraction in simplest form.
start fraction, 4, divided by, 17, end fraction, plus, start fraction, 10, divided by, 17, end fraction
4
17
+
10
17
17
4
​
+
17
10
​



Answer
Answer the questions below about Line 1 and Line 2 shown below.
5, dot, left bracket, 4, minus, 3, right bracket
5
⋅
(
4
−
3
)
5⋅(4−3)
5, dot, 4, minus, 5, dot, 3
5
⋅
4
−
5
⋅
3
5⋅4−5⋅3
Answer
Attempt 1 out of 2

The expression was rewritten using the
.
5, dot, left bracket, 4, minus, 3, right bracket
5
⋅
(
4
−
3
)
5⋅(4−3) equals 5, dot
5
⋅
5⋅
which equals
.
5, dot, 4, minus, 5, dot, 3
5
⋅
4
−
5
⋅
3
5⋅4−5⋅3 equals
minus
−
−
which equals
Answer
what property was used to rewrite it
Answer
When solving an equation, Francesca's first step is shown below. Which property justifies Francesca's first step?
Original Equation:
Original Equation:
Original Equation:
3, left bracket, x, plus, 3, right bracket, equals, minus, 5
3
(
�
+
3
)
=
3(x+3)=
 
 
−
5
−5
First Step:
First Step:
First Step:
3, x, plus, 9, equals, minus, 5
3
�
+
9
=
3x+9=
 
 
−
5
−5
Answer
Which expression is equivalent to 36, plus, 18
36
+
18
36+18?
Answer
Multiple Choice Answers
3, left bracket, 12, plus, 15, right bracket
3
(
12
+
15
)
3(12+15)
3, left bracket, 12, plus, 7, right bracket
3
(
12
+
7
)
3(12+7)
6, left bracket, 6, plus, 2, right bracket
6
(
6
+
2
)
6(6+2)
3, left bracket, 12, plus, 6, right bracket
3
(
12
+
6
)
3(12+6)
Answer
Enter the missing values in the area model to find 4, left bracket, 8, w, minus, 4, right bracket
4
(
8
�
−
4
)
4(8w−4)
Answer
According to the model above, 4, left bracket, 8, w, minus, 4, right bracket, equals
4
(
8
�
−
4
)
=
4(8w−4)=
Answer
According to the model above, 3, left bracket, 4, z, plus, 7, right bracket, equals
3
(
4
�
+
7
)
=
3(4z+7)=
Answer
Enter the missing values in the area model to find 2, left bracket, 9, h, minus, 4, right bracket
2
(
9
ℎ
−
4
)
2(9h−4)
2
18h
-4
Answer
Attempt 1 out of 2

According to the model above, 2, left bracket, 9, h, minus, 4, right bracket, equals
2
(
9
ℎ
−
4
)
=
2(9h−4)
Answer
Use the distributive property to write an equivalent expression.
9, left bracket, 7, r, minus, 3, s, plus, 10, right bracket
9
(
7
�
−
3
�
+
10
)
9(7r−3s+10)
Answer
Write an equivalent expression by distributing the "minus
−
−" sign outside the parentheses:
minus, left bracket, 4, k, minus, 1, point, 9, right bracket
−
(
4
�
−
1.9
)
−(4k−1.9)
Answer
Between which two consecutive whole numbers does square root of, 13, end square root
13
13
​
lie? Fill out the sentence below to justify your answer and use your mouse to drag square root of, 13, end square root
13
13
​
to an approximately correct location on the number line.
Answer
Since square root of, empty space, end square root
2
2
​

​

equals
=
=
and square root of, empty space, end square root
2
2
​

​

equals
=
=
it is known that square root of, 13, end square root
13
13
​
is between
Answer
Enter the missing values in the area model to find 4, left bracket, 8, t, plus, 2, right bracket
4
(
8
�
+
2
)
4(8t+2)
4
8t
+2
Answer
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Enter the missing values in the area model to find 7, left bracket, 5, t, plus, 1, right bracket
7
(
5
�
+
1
)
7(5t+1)
7
5t
+7
Answer
Attempt 1 out of 2

According to the model above, 7, left bracket, 5, t, plus, 1, right bracket, equals
7
(
5
�
+
1
)
=
7(5t+1)=
Answer
Question

Watch Video

Show Examples
Between which two consecutive whole numbers does square root of, 73, end square root
73
73
​
lie? Fill out the sentence below to justify your answer and use your mouse to drag square root of, 73, end square root
73
73
​
to an approximately correct location on the number line.
Real
√73
__
_
Answer
Attempt 1 out of 2

Since square root of, empty space, end square root
2
2
​

​

equals
=
=
and square root of, empty space, end square root
2
2
​

​

equals
=
=
it is known that square root of, 73, end square root
73
73
​
is between
and
.
Answer
answer
Answered by GPT 3.5
(x / 9) * (x / 9) * (x / 9)
Answered by GPT 3.5
x / 9
Answered by GPT 3.5
2 + x^3
Answered by GPT 3.5
To find the perimeter, we need to add up the lengths of all three sides.

The first side is (3q+1) centimeters.
The second side is (5q-3) centimeters.
The third side is (r-9) centimeters.

Adding up the lengths of the three sides, we get:
(3q+1) + (5q-3) + (r-9)

This simplifies to:
8q - 8 + r - 11

So, the expression that represents the perimeter of the triangle is:
8q + r - 19
Answered by GPT 3.5
To find the value of the expression 8z + 9 when z = 6, we substitute z with 6:

8(6) + 9

Multiplying 8 and 6:

48 + 9

Adding 48 and 9:

57

Therefore, when z = 6, the value of the expression 8z + 9 is 57.
Answered by GPT 3.5
From least to greatest:

-17.4, -13.6, -7.2, -7, -1.8, 2.7, 2.7, 17.4
Answered by GPT 3.5
From least to greatest:

-17.6, -16.4, -16.3, -2.1, -1.7, 16
Answered by GPT 3.5
From least to greatest:

5.92, 6.007, 6.03, 6.04, 6.084, 6.1
Answered by GPT 3.5
Point T is located 6 units away from Point S, so it is in the positive direction from S. Its location can be found by adding 6 to the x-coordinate of Point S.

Therefore, the x-coordinate of Point T is:
-12 + 6 = -6

Point U is also located 6 units away from Point S, but in the opposite direction from T. Its location can be found by subtracting 6 from the x-coordinate of Point S.

Therefore, the x-coordinate of Point U is:
-12 - 6 = -18

So, Point T is located at (-6, y), and Point U is located at (-18, y), where y represents the y-coordinate of the points.
Answered by GPT 3.5
To evaluate the expression, we need to find a common denominator for the fractions 4/17 and 10/17.

Since both fractions already have a denominator of 17, we don't need to find a common denominator. We can simply add the numerators together and keep the denominator the same.

So, the expression simplifies to:

(4 + 10) / 17

This further simplifies to:

14 / 17

Therefore, the value of the expression is 14/17.
Answered by GPT 3.5
The expression 5⋅(4−3) can be simplified as follows:
5⋅(4−3) = 5⋅1 = 5

The expression 5⋅4−5⋅3 can be simplified as follows:
5⋅4−5⋅3 = 20−15 = 5

Therefore, the value of both Line 1 and Line 2 is 5.
Answered by GPT 3.5
The property that was used to rewrite the expression 5⋅(4−3) as 5⋅4−5⋅3 is the distributive property. The distributive property states that when multiplying a number by a sum or difference inside parentheses, you can distribute the multiplication to each term inside the parentheses.

In this case, we distributed the multiplication of 5 to both the 4 and the -3.
Answered by GPT 3.5
The property that justifies Francesca's first step in the equation 3(x+3) = -5 is the distributive property.

The distributive property allows us to distribute the 3 to both the x and the 3 inside the parentheses:

3(x+3) = (3 * x) + (3 * 3) = 3x + 9

This property states that when multiplying a number by a sum or difference inside parentheses, you can distribute the multiplication to each term inside the parentheses.
Answered by GPT 3.5
The expression that is equivalent to 36 + 18 is:

36 + 18 = 3(12 + 6)

Therefore, the correct answer is 3(12+6).
Answered by GPT 3.5
The area model for the expression 4(8w-4) can be filled in as follows:

- The top left box should be "4"
- The top right box should be "8w"
- The bottom left box should be "-4"
- The bottom right box should be "?"

To find the missing value in the bottom right box, we can start by multiplying 4 with -4:

4 * (-4) = -16

So, the missing value in the bottom right box is "-16".

Therefore, the completed area model is:

4 | 8w
-4 | -16
Answered by GPT 3.5
4(8w-4) = 32w - 16
Answered by GPT 3.5
3(4z+7) = 12z + 21
Answered by GPT 3.5
The area model for the expression 2(9h-4) can be filled in as follows:

- The top left box should be "2"
- The top right box should be "9h"
- The bottom left box should be "-4"
- The bottom right box should be "?"

To find the missing value in the bottom right box, we can start by multiplying 2 with -4:

2 * (-4) = -8

So, the missing value in the bottom right box is "-8".

Therefore, the completed area model is:

2 | 9h
-4 | -8
Answered by GPT 3.5
To write an equivalent expression using the distributive property, we need to distribute the 9 to each term inside the parentheses:

9 * 7r = 63r
9 * (-3s) = -27s
9 * 10 = 90

So, using the distributive property, the equivalent expression is:

63r - 27s + 90
Answered by GPT 3.5
When we distribute the minus sign outside the parentheses, the signs of each term inside the parentheses will change.

The expression -(4k - 1.9) can be rewritten as:

-4k + 1.9

Therefore, the equivalent expression, after distributing the minus sign outside the parentheses, is -4k + 1.9.
Answered by GPT 3.5
The square root of 13 lies between the whole numbers 3 and 4.

To justify this answer, we can square both 3 and 4 to determine their squares. The square of 3 is 9 (3 * 3 = 9) and the square of 4 is 16 (4 * 4 = 16).

Since 13 falls between the squares of 3 and 4 (9 and 16), it follows that the square root of 13 falls between the whole numbers 3 and 4.

Therefore, the square root of 13 is approximately between 3 and 4 on the number line.
Answered by GPT 3.5
The square root of 13 is known to be between the square root of 9 (which equals 3) and the square root of 16 (which equals 4). So, the square root of 13 is between 3 and 4.
Answered by GPT 3.5
The area model for the expression 4(8t+2) can be filled in as follows:

- The top left box should be "4"
- The top right box should be "8t"
- The bottom left box should be "2"
- The bottom right box should be "?"

To find the missing value in the bottom right box, we can start by multiplying 4 with 2:

4 * 2 = 8

So, the missing value in the bottom right box is "8".

Therefore, the completed area model is:

4 | 8t
2 | 8
Answered by GPT 3.5
The area model for the expression 7(5t+1) can be filled in as follows:

- The top left box should be "7"
- The top right box should be "5t"
- The bottom left box should be "1"
- The bottom right box should be "?"

To find the missing value in the bottom right box, we can start by multiplying 7 with 1:

7 * 1 = 7

So, the missing value in the bottom right box is "7".

Therefore, the completed area model is:

7 | 5t
1 | 7