Math / Algebra

QuestionElizabeth Public Schools My Apps New tab rdeddde2rw
December 11 Exit Slip/HW - L4-4 Solve Multiplica $\begin{array}{l} 13+k=25 \\ k= \end{array}$

Studdy Solution

STEP 1

What is this asking? We need to find the value of $k$ that makes the equation $13 + k = 25$ true.
Basically, what number do we add to 13 to get 25? Watch out! Don't accidentally subtract 25 from 13.
We want to isolate $k$ , and that means getting it all alone on one side of the equals sign.

STEP 2

1. Isolate $k$
2. Calculate $k$

STEP 3

We want to get $k$ by itself.
Since 13 is being added to $k$ , we'll do the opposite operation to both sides of the equation.
The opposite of adding 13 is subtracting 13.
Think of it this way: we're adding -13 to both sides, and $13 + (-13) = 0$ .
We're adding to zero!
$13 + k - 13 = 25 - 13$

STEP 4

Now, on the left side, $13 - 13$ gives us zero, so we have $0 + k$ , which is just $k$ .
Awesome! On the right side, $25 - 13$ gives us 12.
$k = 12$

STEP 5

We already found it in the last step!
Since we isolated $k$ , we see that $k = 12$ .
Let's check our work to be extra sure.

STEP 6

If $k = 12$ , then the original equation $13 + k = 25$ becomes $13 + 12 = 25$ .
Is that true?
YES!

STEP 7

$k = 12$

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QuestionElizabeth Public Schools My Apps New tab rdeddde2rw
December 11 Exit Slip/HW - L4-4 Solve Multiplica $\begin{array}{l} 13+k=25 \\ k= \end{array}$

Studdy Solution

STEP 1

What is this asking? We need to find the value of $k$ that makes the equation $13 + k = 25$ true.
Basically, what number do we add to 13 to get 25? Watch out! Don't accidentally subtract 25 from 13.
We want to isolate $k$ , and that means getting it all alone on one side of the equals sign.

STEP 2

1. Isolate $k$
2. Calculate $k$

STEP 3

We want to get $k$ by itself.
Since 13 is being added to $k$ , we'll do the opposite operation to both sides of the equation.
The opposite of adding 13 is subtracting 13.
Think of it this way: we're adding -13 to both sides, and $13 + (-13) = 0$ .
We're adding to zero!
$13 + k - 13 = 25 - 13$

STEP 4

Now, on the left side, $13 - 13$ gives us zero, so we have $0 + k$ , which is just $k$ .
Awesome! On the right side, $25 - 13$ gives us 12.
$k = 12$

STEP 5

We already found it in the last step!
Since we isolated $k$ , we see that $k = 12$ .
Let's check our work to be extra sure.

STEP 6

If $k = 12$ , then the original equation $13 + k = 25$ becomes $13 + 12 = 25$ .
Is that true?
YES!

STEP 7

$k = 12$

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QuestionElizabeth Public Schools My Apps New tab rdeddde2rwDecember 11 Exit Slip/HW - L4-4 Solve Multiplica 13+k=25k=\begin{array}{l} 13+k=25 \\ k= \end{array}13+k=25k=​

Studdy Solution

STEP 1

STEP 2

1. Isolate kkk2. Calculate kkk

STEP 3

STEP 4

Now, on the left side, 13−1313 - 1313−13 gives us **zero**, so we have 0+k0 + k0+k, which is just kkk.Awesome! On the right side, 25−1325 - 1325−13 gives us **12**.k=12k = 12k=12

STEP 5

We already found it in the last step!Since we isolated kkk, we see that k=12k = 12k=12.Let's **check** our work to be extra sure.

STEP 6

If k=12k = 12k=12, then the original equation 13+k=2513 + k = 2513+k=25 becomes 13+12=2513 + 12 = 2513+12=25.Is that true?YES!

STEP 7

k=12k = 12k=12

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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.

QuestionElizabeth Public Schools My Apps New tab rdeddde2rw
December 11 Exit Slip/HW - L4-4 Solve Multiplica $\begin{array}{l} 13+k=25 \\ k= \end{array}$

1. Isolate $k$
2. Calculate $k$

Now, on the left side, $13 - 13$ gives us zero, so we have $0 + k$ , which is just $k$ .
Awesome! On the right side, $25 - 13$ gives us 12.
$k = 12$

We already found it in the last step!
Since we isolated $k$ , we see that $k = 12$ .
Let's check our work to be extra sure.

If $k = 12$ , then the original equation $13 + k = 25$ becomes $13 + 12 = 25$ .
Is that true?
YES!

$k = 12$