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

Question

A number is added to 6.

Answer 1

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

\( x + 6 \)

Answer 2

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

Answer 3

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

\( x^9 \)

Answer 4

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

Answer 5

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

\( 2x \)

Answer 6

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

Answer 7

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

\[ 3 - x \]

Answer 8

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

Answer 9

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

\( 9x \)

Answer 10

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 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.