Math / Algebra

QuestionWhose method is correct and why? Lisa's method is correct because $2(x-2)$ equals $2 x-2$ . Lisa's method is correct because $2(x-2)$ equals $2 x$ . Jaleel is correct because $2(x-2)$ equals $2 x-2$ Jaleel is correct because $2(x-2)$ equals $2 x-4$ . Mark this and return Save and Exit Nest Submit

Studdy Solution

STEP 1

What is this asking? Who correctly simplified $2(x-2) + 2$ , Jaleel or Lisa, and why? Watch out! Don't forget to distribute the $2$ across both terms inside the parentheses!

STEP 2

1. Simplify Jaleel's expression.
2. Simplify Lisa's expression.
3. Compare and determine the correct method.

STEP 3

Jaleel correctly distributes the $2$ across $(x-2)$ .
This means we multiply $2$ by both $x$ and $-2$ .
So, $2 \cdot (x-2) = 2 \cdot x + 2 \cdot (-2) = 2x - 4$ .
Jaleel's first step becomes $2x - 4 + 2$ .

STEP 4

Now, we combine the like terms.
We have $-4 + 2 = -2$ .
So, Jaleel's expression simplifies to $2x - 2$ .

STEP 5

Lisa incorrectly distributes the $2$ .
It looks like she only multiplied the $2$ by the $x$ and forgot about the $-2$ .
Remember, we need to multiply both terms inside the parentheses!
Her first step should have been $2x - 4 + 2$ , just like Jaleel's.
Instead, she wrote $2x - 2 + 2$ .

STEP 6

Lisa then combines $-2 + 2 = 0$ , which gives her a final answer of $2x$ .
However, this is incorrect because of the mistake in her first step.

STEP 7

Jaleel's simplified expression is $2x - 2$ .
Lisa's simplified expression is $2x$ .
These are clearly different!

STEP 8

Since Jaleel correctly distributed the $2$ in the first step, his method is correct, and his simplified expression, $2x - 2$ , is the correct answer.
Lisa's method is incorrect because she didn't distribute the $2$ properly.

STEP 9

Jaleel is correct because $2(x-2)$ equals $2x - 4$ .

Was this helpful?

Studdy Solution

STEP 1

What is this asking? Who correctly simplified $2(x-2) + 2$ , Jaleel or Lisa, and why? Watch out! Don't forget to distribute the $2$ across both terms inside the parentheses!

STEP 2

1. Simplify Jaleel's expression.
2. Simplify Lisa's expression.
3. Compare and determine the correct method.

STEP 3

Jaleel correctly distributes the $2$ across $(x-2)$ .
This means we multiply $2$ by both $x$ and $-2$ .
So, $2 \cdot (x-2) = 2 \cdot x + 2 \cdot (-2) = 2x - 4$ .
Jaleel's first step becomes $2x - 4 + 2$ .

STEP 4

Now, we combine the like terms.
We have $-4 + 2 = -2$ .
So, Jaleel's expression simplifies to $2x - 2$ .

STEP 5

Lisa incorrectly distributes the $2$ .
It looks like she only multiplied the $2$ by the $x$ and forgot about the $-2$ .
Remember, we need to multiply both terms inside the parentheses!
Her first step should have been $2x - 4 + 2$ , just like Jaleel's.
Instead, she wrote $2x - 2 + 2$ .

STEP 6

Lisa then combines $-2 + 2 = 0$ , which gives her a final answer of $2x$ .
However, this is incorrect because of the mistake in her first step.

STEP 7

Jaleel's simplified expression is $2x - 2$ .
Lisa's simplified expression is $2x$ .
These are clearly different!

STEP 8

Since Jaleel correctly distributed the $2$ in the first step, his method is correct, and his simplified expression, $2x - 2$ , is the correct answer.
Lisa's method is incorrect because she didn't distribute the $2$ properly.

STEP 9

Jaleel is correct because $2(x-2)$ equals $2x - 4$ .

Get Studdy

Studdy solves anything!

Start learning now

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

Studdy Solution

STEP 1

What is this asking? Who correctly simplified 2(x−2)+22(x-2) + 22(x−2)+2, Jaleel or Lisa, and why? Watch out! Don't forget to distribute the 222 across *both* terms inside the parentheses!

STEP 2

1. Simplify Jaleel's expression.2. Simplify Lisa's expression.3. Compare and determine the correct method.

STEP 3

STEP 4

Now, we **combine** the **like terms**.We have −4+2=−2-4 + 2 = -2−4+2=−2.So, Jaleel's expression simplifies to 2x−22x - 22x−2.

STEP 5

STEP 6

Lisa then **combines** −2+2=0-2 + 2 = 0−2+2=0, which gives her a final answer of 2x2x2x.However, this is incorrect because of the mistake in her first step.

STEP 7

Jaleel's simplified expression is 2x−22x - 22x−2.Lisa's simplified expression is 2x2x2x.These are clearly different!

STEP 8

Since Jaleel correctly distributed the 222 in the first step, his method is correct, and his simplified expression, 2x−22x - 22x−2, is the correct answer.Lisa's method is incorrect because she didn't distribute the 222 properly.

STEP 9

Jaleel is correct because 2(x−2)2(x-2)2(x−2) equals 2x−42x - 42x−4.

Get Studdy

Studdy solves anything!

Start learning now

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

What is this asking? Who correctly simplified $2(x-2) + 2$ , Jaleel or Lisa, and why? Watch out! Don't forget to distribute the $2$ across both terms inside the parentheses!

1. Simplify Jaleel's expression.
2. Simplify Lisa's expression.
3. Compare and determine the correct method.

Now, we combine the like terms.
We have $-4 + 2 = -2$ .
So, Jaleel's expression simplifies to $2x - 2$ .

Lisa then combines $-2 + 2 = 0$ , which gives her a final answer of $2x$ .
However, this is incorrect because of the mistake in her first step.

Jaleel's simplified expression is $2x - 2$ .
Lisa's simplified expression is $2x$ .
These are clearly different!

Since Jaleel correctly distributed the $2$ in the first step, his method is correct, and his simplified expression, $2x - 2$ , is the correct answer.
Lisa's method is incorrect because she didn't distribute the $2$ properly.

Jaleel is correct because $2(x-2)$ equals $2x - 4$ .