Solved on Dec 12, 2023

Rahkim solved the equation $x-6=30$ , but his reasoning had a flaw. The best statement to describe the flaw is: B. Rahkim is confused about which number the 6 is being subtracted from.

STEP 1

Assumptions
1. Rahkim is solving the equation $x - 6 = 30$ .
2. Rahkim's reasoning is that he is looking for a number $x$ that is 6 less than 30, leading him to conclude that $x = 24$ .
3. We need to evaluate Rahkim's reasoning and identify the flaw, if any.

STEP 2

Understand the original equation. The equation $x - 6 = 30$ means we are looking for a number $x$ such that when we subtract 6 from it, we get 30.

STEP 3

To solve for $x$ , we need to isolate $x$ on one side of the equation. This is typically done by performing the inverse operation of what is being done to $x$ .

STEP 4

Since $x$ is being subtracted by 6, we should add 6 to both sides of the equation to cancel out the -6 on the left side.

STEP 5

Perform the operation to solve for $x$ .
$x - 6 + 6 = 30 + 6$

STEP 6

Simplify both sides of the equation.
$x = 36$

STEP 7

Compare the correct solution to Rahkim's reasoning. Rahkim stated that $x = 24$ , which is not equal to the correct solution of $x = 36$ .

STEP 8

Determine the flaw in Rahkim's reasoning. Rahkim incorrectly subtracted 6 from 30 instead of adding 6 to both sides of the equation to isolate $x$ .

STEP 9

Identify the correct statement that describes the flaw in Rahkim's reasoning. Since Rahkim's answer is wrong and he misunderstood the operation needed to isolate $x$ , the correct statement is:
D. Rahkim's answer is wrong but he thought about the equation correctly.
Rahkim understood that $x$ was 6 less than some number, but he incorrectly subtracted 6 from 30 instead of adding 6 to both sides of the equation to solve for $x$ .

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Rahkim solved the equation $x-6=30$ , but his reasoning had a flaw. The best statement to describe the flaw is: B. Rahkim is confused about which number the 6 is being subtracted from.

STEP 1

Assumptions
1. Rahkim is solving the equation $x - 6 = 30$ .
2. Rahkim's reasoning is that he is looking for a number $x$ that is 6 less than 30, leading him to conclude that $x = 24$ .
3. We need to evaluate Rahkim's reasoning and identify the flaw, if any.

STEP 2

Understand the original equation. The equation $x - 6 = 30$ means we are looking for a number $x$ such that when we subtract 6 from it, we get 30.

STEP 3

To solve for $x$ , we need to isolate $x$ on one side of the equation. This is typically done by performing the inverse operation of what is being done to $x$ .

STEP 4

Since $x$ is being subtracted by 6, we should add 6 to both sides of the equation to cancel out the -6 on the left side.

STEP 5

Perform the operation to solve for $x$ .
$x - 6 + 6 = 30 + 6$

STEP 6

Simplify both sides of the equation.
$x = 36$

STEP 7

Compare the correct solution to Rahkim's reasoning. Rahkim stated that $x = 24$ , which is not equal to the correct solution of $x = 36$ .

STEP 8

Determine the flaw in Rahkim's reasoning. Rahkim incorrectly subtracted 6 from 30 instead of adding 6 to both sides of the equation to isolate $x$ .

STEP 9

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Rahkim solved the equation x−6=30x-6=30x−6=30, but his reasoning had a flaw. The best statement to describe the flaw is: B. Rahkim is confused about which number the 6 is being subtracted from.

STEP 1

Assumptions1. Rahkim is solving the equation x−6=30x - 6 = 30x−6=30.2. Rahkim's reasoning is that he is looking for a number xxx that is 6 less than 30, leading him to conclude that x=24x = 24x=24.3. We need to evaluate Rahkim's reasoning and identify the flaw, if any.

STEP 2

Understand the original equation. The equation x−6=30x - 6 = 30x−6=30 means we are looking for a number xxx such that when we subtract 6 from it, we get 30.

STEP 3

To solve for xxx, we need to isolate xxx on one side of the equation. This is typically done by performing the inverse operation of what is being done to xxx.

STEP 4

Since xxx is being subtracted by 6, we should add 6 to both sides of the equation to cancel out the -6 on the left side.

STEP 5

Perform the operation to solve for xxx.x−6+6=30+6x - 6 + 6 = 30 + 6x−6+6=30+6

STEP 6

Simplify both sides of the equation.x=36x = 36x=36

STEP 7

Compare the correct solution to Rahkim's reasoning. Rahkim stated that x=24x = 24x=24, which is not equal to the correct solution of x=36x = 36x=36.

STEP 8

Determine the flaw in Rahkim's reasoning. Rahkim incorrectly subtracted 6 from 30 instead of adding 6 to both sides of the equation to isolate xxx.

STEP 9

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Rahkim solved the equation $x-6=30$ , but his reasoning had a flaw. The best statement to describe the flaw is: B. Rahkim is confused about which number the 6 is being subtracted from.

Assumptions
1. Rahkim is solving the equation $x - 6 = 30$ .
2. Rahkim's reasoning is that he is looking for a number $x$ that is 6 less than 30, leading him to conclude that $x = 24$ .
3. We need to evaluate Rahkim's reasoning and identify the flaw, if any.

Understand the original equation. The equation $x - 6 = 30$ means we are looking for a number $x$ such that when we subtract 6 from it, we get 30.

To solve for $x$ , we need to isolate $x$ on one side of the equation. This is typically done by performing the inverse operation of what is being done to $x$ .

Since $x$ is being subtracted by 6, we should add 6 to both sides of the equation to cancel out the -6 on the left side.

Perform the operation to solve for $x$ .
$x - 6 + 6 = 30 + 6$

Simplify both sides of the equation.
$x = 36$

Compare the correct solution to Rahkim's reasoning. Rahkim stated that $x = 24$ , which is not equal to the correct solution of $x = 36$ .

Determine the flaw in Rahkim's reasoning. Rahkim incorrectly subtracted 6 from 30 instead of adding 6 to both sides of the equation to isolate $x$ .