Math / Algebra

QuestionEvaluate the expression when $b=9$ . $b^{2}+13$

Studdy Solution

STEP 1

What is this asking? We need to find the value of the expression $b^2 + 13$ when $b$ is 9. Watch out! Make sure to square the value of $b$ before adding 13.
Don't accidentally add 13 to $b$ and then square the result.

STEP 2

1. Substitute
2. Square
3. Add

STEP 3

Let's substitute the value of $b$ , which is 9, into the expression $b^2 + 13$ .
This gives us $9^2 + 13$ .
We're doing this because the problem tells us that $b$ is equal to 9, and we want to find the value of the expression with that specific value of $b$ .

STEP 4

Now, let's square 9.
Remember, squaring a number means multiplying it by itself.
So, $9^2$ is the same as $9 \cdot 9$ , which equals 81.
This is a key step because the expression involves $b$ squared, and we need to calculate that value before we can add 13.

STEP 5

Finally, we add 13 to our result from squaring 9.
So, we have $81 + 13$ .
This gives us a final result of 94.
We're adding 13 because that's the last operation in the expression.

STEP 6

The value of the expression $b^2 + 13$ when $b = 9$ is 94!

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QuestionEvaluate the expression when $b=9$ . $b^{2}+13$

Studdy Solution

STEP 1

What is this asking? We need to find the value of the expression $b^2 + 13$ when $b$ is 9. Watch out! Make sure to square the value of $b$ before adding 13.
Don't accidentally add 13 to $b$ and then square the result.

STEP 2

1. Substitute
2. Square
3. Add

STEP 3

Let's substitute the value of $b$ , which is 9, into the expression $b^2 + 13$ .
This gives us $9^2 + 13$ .
We're doing this because the problem tells us that $b$ is equal to 9, and we want to find the value of the expression with that specific value of $b$ .

STEP 4

Now, let's square 9.
Remember, squaring a number means multiplying it by itself.
So, $9^2$ is the same as $9 \cdot 9$ , which equals 81.
This is a key step because the expression involves $b$ squared, and we need to calculate that value before we can add 13.

STEP 5

Finally, we add 13 to our result from squaring 9.
So, we have $81 + 13$ .
This gives us a final result of 94.
We're adding 13 because that's the last operation in the expression.

STEP 6

The value of the expression $b^2 + 13$ when $b = 9$ is 94!

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QuestionEvaluate the expression when b=9b=9b=9. b2+13b^{2}+13b2+13

Studdy Solution

STEP 1

What is this asking? We need to find the value of the expression b2+13b^2 + 13b2+13 when bbb is **9**. Watch out! Make sure to square the value of bbb *before* adding **13**.Don't accidentally add 13 to bbb and *then* square the result.

STEP 2

1. Substitute2. Square3. Add

STEP 3

Let's **substitute** the value of bbb, which is **9**, into the expression b2+13b^2 + 13b2+13.This gives us 92+139^2 + 1392+13.We're doing this because the problem tells us that bbb is equal to **9**, and we want to find the value of the expression with that specific value of bbb.

STEP 4

Now, let's **square 9**.Remember, squaring a number means multiplying it by itself.So, 929^292 is the same as 9⋅99 \cdot 99⋅9, which equals **81**.This is a key step because the expression involves bbb squared, and we need to calculate that value before we can add 13.

STEP 5

Finally, we **add 13** to our result from squaring 9.So, we have 81+1381 + 1381+13.This gives us a **final result** of **94**.We're adding 13 because that's the last operation in the expression.

STEP 6

The value of the expression b2+13b^2 + 13b2+13 when b=9b = 9b=9 is **94**!

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QuestionEvaluate the expression when $b=9$ . $b^{2}+13$

What is this asking? We need to find the value of the expression $b^2 + 13$ when $b$ is 9. Watch out! Make sure to square the value of $b$ before adding 13.
Don't accidentally add 13 to $b$ and then square the result.

1. Substitute
2. Square
3. Add

Let's substitute the value of $b$ , which is 9, into the expression $b^2 + 13$ .
This gives us $9^2 + 13$ .
We're doing this because the problem tells us that $b$ is equal to 9, and we want to find the value of the expression with that specific value of $b$ .

Now, let's square 9.
Remember, squaring a number means multiplying it by itself.
So, $9^2$ is the same as $9 \cdot 9$ , which equals 81.
This is a key step because the expression involves $b$ squared, and we need to calculate that value before we can add 13.

Finally, we add 13 to our result from squaring 9.
So, we have $81 + 13$ .
This gives us a final result of 94.
We're adding 13 because that's the last operation in the expression.

The value of the expression $b^2 + 13$ when $b = 9$ is 94!