Question

Represent the following sentence as an algebraic expression, where "a number" is the letter x.
A number is added to 6.

Answer 1

Represent the following sentence as an algebraic expression, where "a number" is the letter x.
A number raised to the ninth power.

Answer 2

Represent the following sentence as an algebraic expression, where "a number" is the letter x.
The product of 2 and a number.

Answer 3

Represent the following sentence as an algebraic expression, where "a number" is the letter x.
A number is subtracted from 3.

Answer 4

Represent the following sentence as an algebraic expression, where "a number" is the letter x.
9 times a number.

Answer 5

What is the value of the expression below when y, equals, 9y=9?
y, squared, plus, 10, y, minus, 8
y to the power of 2 + 10y − 8

Answer 6

The algebraic expression representing the sentence "A number is added to 6" can be written as:

\( x + 6 \)

Answer 7

The algebraic expression representing the sentence "A number raised to the ninth power" can be written as:

\( x^9 \)

Answer 8

The algebraic expression representing the sentence "The product of 2 and a number" can be written as:

\( 2x \)

Answer 9

The algebraic expression representing the sentence "A number is subtracted from 3" can be written as:

\[ 3 - x \]

Answer 10

The algebraic expression representing the sentence "9 times a number" can be written as:

\( 9x \)

Answer 11

To find the value of the expression \( y^2 + 10y - 8 \) when \( y = 9 \), we can substitute the value of \( y \) into the expression.

1. Substitute \( y = 9 \):

\[
9^2 + 10(9) - 8
\]

2. Calculate \( 9^2 \):

\[
9^2 = 81
\]

3. Calculate \( 10(9) \):

\[
10(9) = 90
\]

4. Substitute these values back into the expression:

\[
81 + 90 - 8
\]

5. Now, perform the additions and subtractions:

\[
81 + 90 = 171
\]
\[
171 - 8 = 163
\]

Thus, the value of the expression \( y^2 + 10y - 8 \) when \( y = 9 \) is **163**.