Math / Algebra

QuestionWhich answer choice results from using the distributive property to rewrite the expression below? $5(x+8)$ $5 x+40$ $5 x+8$ 5(8x) $5+8 x$

Studdy Solution

STEP 1

What is this asking? We need to rewrite $5(x+8)$ using the distributive property. Watch out! Don't forget to multiply both terms inside the parentheses by $5$ !

STEP 2

1. Distribute the $5$
2. Simplify

STEP 3

Alright, let's distribute that $5$ across the terms inside the parentheses!
Remember, the distributive property says $a(b+c) = a \cdot b + a \cdot c$ .
It's like sharing the $5$ with both the $x$ and the $8$ .

STEP 4

So, we multiply $5$ by $x$ and $5$ by $8$ .
This gives us: $5 \cdot x + 5 \cdot 8$

STEP 5

Now, let's simplify! $5$ times $x$ is simply written as $5x$ .

STEP 6

And $5$ times $8$ is 40.
So, our simplified expression is: $5x + 40$

STEP 7

Our final answer after distributing and simplifying is $5x + 40$ .

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QuestionWhich answer choice results from using the distributive property to rewrite the expression below? $5(x+8)$ $5 x+40$ $5 x+8$ 5(8x) $5+8 x$

Studdy Solution

STEP 1

What is this asking? We need to rewrite $5(x+8)$ using the distributive property. Watch out! Don't forget to multiply both terms inside the parentheses by $5$ !

STEP 2

1. Distribute the $5$
2. Simplify

STEP 3

Alright, let's distribute that $5$ across the terms inside the parentheses!
Remember, the distributive property says $a(b+c) = a \cdot b + a \cdot c$ .
It's like sharing the $5$ with both the $x$ and the $8$ .

STEP 4

So, we multiply $5$ by $x$ and $5$ by $8$ .
This gives us: $5 \cdot x + 5 \cdot 8$

STEP 5

Now, let's simplify! $5$ times $x$ is simply written as $5x$ .

STEP 6

And $5$ times $8$ is 40.
So, our simplified expression is: $5x + 40$

STEP 7

Our final answer after distributing and simplifying is $5x + 40$ .

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QuestionWhich answer choice results from using the distributive property to rewrite the expression below? 5(x+8)5(x+8)5(x+8) 5x+405 x+405x+40 5x+85 x+85x+8 5(8x) 5+8x5+8 x5+8x

Studdy Solution

STEP 1

What is this asking? We need to rewrite 5(x+8)5(x+8)5(x+8) using the distributive property. Watch out! Don't forget to multiply *both* terms inside the parentheses by 555!

STEP 2

1. Distribute the 5552. Simplify

STEP 3

Alright, let's **distribute** that 555 across the terms inside the parentheses!Remember, the distributive property says a(b+c)=a⋅b+a⋅ca(b+c) = a \cdot b + a \cdot ca(b+c)=a⋅b+a⋅c.It's like sharing the 555 with both the xxx and the 888.

STEP 4

So, we multiply 555 by xxx and 555 by 888.This gives us: 5⋅x+5⋅85 \cdot x + 5 \cdot 85⋅x+5⋅8

STEP 5

Now, let's **simplify**! 555 times xxx is simply written as 5x5x5x.

STEP 6

And 555 times 888 is **40**.So, our simplified expression is: 5x+405x + 405x+40

STEP 7

Our final answer after distributing and simplifying is 5x+405x + 405x+40.

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QuestionWhich answer choice results from using the distributive property to rewrite the expression below? $5(x+8)$ $5 x+40$ $5 x+8$ 5(8x) $5+8 x$

What is this asking? We need to rewrite $5(x+8)$ using the distributive property. Watch out! Don't forget to multiply both terms inside the parentheses by $5$ !

1. Distribute the $5$
2. Simplify

Alright, let's distribute that $5$ across the terms inside the parentheses!
Remember, the distributive property says $a(b+c) = a \cdot b + a \cdot c$ .
It's like sharing the $5$ with both the $x$ and the $8$ .

So, we multiply $5$ by $x$ and $5$ by $8$ .
This gives us: $5 \cdot x + 5 \cdot 8$

Now, let's simplify! $5$ times $x$ is simply written as $5x$ .

And $5$ times $8$ is 40.
So, our simplified expression is: $5x + 40$

Our final answer after distributing and simplifying is $5x + 40$ .