Question

Identify the following as either an expression or an equation.

9x+1=6
GPT 3.5
equation
Identify following as either an expression or equation

8-4x-3
GPT 3.5
expression
Solve the equation using the addition or subtraction property of equality. Be sure to check your answer.
a-2=8
GPT 3.5
To solve the equation a - 2 = 8, we want to isolate the variable, which in this case is a.

Using the addition property of equality, we will add 2 to both sides of the equation:

a - 2 + 2 = 8 + 2

This simplifies to:

a = 10

To check our answer, we substitute a with 10 in the original equation:

10 - 2 = 8

The left side of the equation simplifies to 8, which is equal to the right side. Therefore, our answer of a = 10 is correct.
Solve the equation using the addition or subtraction property of equality. Be sure to check your answer.

8.7=2.1+b
GPT 3.5
To solve the equation 8.7 = 2.1 + b, we want to isolate the variable b.

Using the subtraction property of equality, we will subtract 2.1 from both sides of the equation:

8.7 - 2.1 = 2.1 + b - 2.1

This simplifies to:

6.6 = b

Therefore, b = 6.6.

To check our answer, we substitute b with 6.6 in the original equation:

8.7 = 2.1 + 6.6

The right side of the equation simplifies to 8.7, which is equal to the left side. Therefore, our answer of b = 6.6 is correct.
Solve the equation using the addition or subtraction property of equality. Be sure to check your answer.

-1.002+x=2.136
GPT 3.5
To solve the equation -1.002 + x = 2.136, we want to isolate the variable x.

Using the subtraction property of equality, we will subtract -1.002 from both sides of the equation:

-1.002 + x - (-1.002) = 2.136 - (-1.002)

Simplifying on both sides:

x = 3.138

Therefore, x = 3.138.

To check our answer, we substitute x with 3.138 in the original equation:

-1.002 + 3.138 = 2.136.

The left side of the equation simplifies to 2.136, which is equal to the right side. Therefore, our answer of x = 3.138 is correct.
13=-y

GPT 3.5
To solve the equation 13 = -y, we want to isolate the variable y.

Using the multiplication property of equality, we will multiply both sides of the equation by -1:

-1 * 13 = -1 * -y

This simplifies to:

-13 = y

Therefore, y = -13.

To check our answer, we substitute y with -13 in the original equation:

13 = -(-13)

The right side of the equation simplifies to 13, which is equal to the left side. Therefore, our answer of y = -13 is correct.
Write an algebraic equation to represent the English sentence. (Let x represent the unknown number.) Then solve the equation.
The sum of negative twelve and a number is negative thirteen.
GPT 3.5
To represent the English sentence "The sum of negative twelve and a number is negative thirteen" algebraically, we can write:

-12 + x = -13

To solve this equation, we want to isolate the variable x.

Using the addition property of equality, we will add 12 to both sides of the equation:

-12 + 12 + x = -13 + 12

This simplifies to:

x = -1

Therefore, the unknown number is -1.
Write an algebraic equation to represent the English sentence. (Let X represent the unknown number.) Then solve the equation.

The value −2 subtracted from a number is 3.
GPT 3.5
To represent the English sentence "The value −2 subtracted from a number is 3" algebraically, we can write:

X - (-2) = 3

To solve this equation, we want to isolate the variable X.

First, we can simplify the subtraction of -2 by changing it to addition:

X + 2 = 3

Next, we can isolate X by subtracting 2 from both sides of the equation:

X + 2 - 2 = 3 - 2

This simplifies to:

X = 1

Therefore, the unknown number is 1.
Twenty is equal to the quotient of a number and five.
GPT 3.5
To represent the English sentence "Twenty is equal to the quotient of a number and five" algebraically, we can write:

20 = x/5

To solve this equation, we want to isolate the variable x.

To eliminate the fraction, we can multiply both sides of the equation by 5:

5 * 20 = (x/5) * 5

This simplifies to:

100 = x

Therefore, the unknown number is 100.