Solving Equations

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Algebra II › Solving Equations

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1

Solve the equation:

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Explanation

Add on both sides of the equation.

Add 7 on both sides.

Simplify both sides.

Divide by seven on both sides.

The answer is:

2

If

and

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what is the value of ?

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Explanation

In order to answer this question, you must first find .

Plugging in 6 for x in the f(x) equation,

you get 6 as your answer, so then you plug 6 in as the x in the g(x) equation.

.

Thus .

3

Solve for .

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Explanation

Subtract on both sides.

4

Solve for in the linear equation.

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Explanation

To solve for the variable in the linear equation, isolate the variable on one side of the equation with all other constants on the other side. To accomplish this, perform opposite operations when manipulating the equation.

First, add 20x to both sides.

Next subtract 2 from both sides.

Divide both sides by 32.

5

Solve for :

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Explanation

6

Solve for .

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Explanation

Subtract on both sides. When adding two negative numbers, we just add the numbers and put a minus sign in the end.

7

Find the solution to the following equation.

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Explanation

Find the solution to the following equation.

To find the solution of this equation, we need to find the value for x, which makes the given equation true.

We do this by working backwards and manipulating the equation.

The easiest first step would probably be to subtract 23 from both sides:

By doing so, we can simplify the equation to get:

Next, simply divide both sides by 9 to get the answer!

So we get:

8

Solve for .

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Explanation

In order to solve this equation, we need to isolate the variable, , on the left side of the equals sign. We will do this by performing the same operations on both sides of the equation.

Subtract from both sides of the equation.

Solve.

9

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The answer is not present

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Explanation

Isolate the term with x:

Simplify:

Isolate x entirely:

10

Find .

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Explanation

To find you must isolate the variable on one side of the equation. In this case, start by dividing both sides of the equation by .

Then, subtract from each side.

This will leave you with the answer .