Two-Step Equations with Integers - Pre-Algebra

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Question

Solve for

Answer

In order to isolate , we first have to add 2 to both sides:

We then divide by 3:

$x=\frac{21}{3}=7$

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Question

Solve for :

Answer

$\frac{-3t}{-3}=\frac{6}{-3}$

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Question

Solve for :

Answer

$\frac{3q}{3}=\frac{-6}{3}$

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Question

Solve for x:

Answer

The first step in this equation is to bring the 2 over to the other side by subtraction so you will get:

then you need to divide by negative one to get a positive "x."

Your final answer is

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Question

Solve for .

Answer

Step 1: Subtract from both sides:

Step 2: Divide both sides by :

$\frac{2x}{2}= \frac{14}{2}$

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Question

Solve for :

Answer

The goal is to isolate the variable to one side.

Subtract from each side of the equation:

Divide each side by :

$\frac{4x}{4}=\frac{4}{4}$

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Question

Solve for :

$6x^{2}=216$

Answer

The goal is to isolate the variable to one side.

$6x^{2}=216$

Divide each side by :

$\frac{6x^{2}}{6}=\frac{216}{6 }$

$x^{2}= 36$

Take the square root of each side:

$\sqrt{x^2}=\sqrt{36}$

$x=\pm 6$

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Question

Solve for :

$3x^{^{3}}+4=28$

Answer

The goal is to isolate the variable to one side.

$3x^{^{3}}+4=28$

Subtract from each side:

$3x^{^{3}}+4-4=28-4$

$3x^{^{3}}=24$

Divide each side by :

$\frac{3x^{^{3}}}{3}=\frac{24}{3}$

Take the cube root of each side:

$\sqrt[3]{x^3}=\sqrt[3]{8}$

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Question

Solve for :

Answer

The goal is to isolate the variable to one side.

Subtract from each side:

Take the square root of each side:

$\sqrt{x^2}=\sqrt{25}$

$x=\pm5$

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Question

Solve the following equation:

Answer

In order to solve this equation, you have to isolate the variable to one side by reversing the operations done to it. Whatever is done on one side of the equals sign must be done on the other side of the equals sign as well. When the variable is by itself, it will be defined as whatever is left on the other side of the equals sign, and the equation is solved.

Subtract from each side.

Divide each side by .

$\frac{4x}{4}=\frac{20}{4}$

$x=\frac{20}{4}$

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Question

Solve the following equation:

Answer

In order to solve this equation, you have to isolate the variable to one side by reversing the operations done to it. Whatever is done on one side of the equals sign must be done on the other side of the equals sign as well. When the variable is by itself, it will be defined as whatever is left on the other side of the equals sign, and the equation is solved.

Add to both sides of the equation.

Divide each side by .

$\frac{3x}{3}=\frac{27}{3}$

$x=\frac{27}{3}$

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Question

Solve the following equation:

Answer

In order to solve this equation, you have to isolate the variable to one side by reversing the operations done to it. Whatever is done on one side of the equals sign must be done on the other side of the equals sign as well. When the variable is by itself, it will be defined as whatever is left on the other side of the equals sign, and the equation is solved.

Subtract from each side of the equation.

Take the square root of each side of the equation and solve for the unknown.

$\sqrt{x^2}=\sqrt{16}$

$x=\sqrt{16}$

$x=\sqrt{4*4}$

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Question

Solve for :

Answer

Subtract 2 from both sides:

Divide by 4:

$\frac{4n}{4}=\frac{-8}{4}$

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Question

Answer

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. Add 5 to each side of the equation. Keep in mind you must do the same step on each side of the equation every time you change something.

The equation should look like this:

Then, isolate the variable by moving the 2 to the other side of the equation. Do this by dividing:

$\frac{2x}{2}=\frac{30}{2} = 15$

Your result should be the following:

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Question

Answer

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. In order to move the 9 to the other side of the equation, you must do the opposite operation (subtraction). Keep in mind you must do the same step on each side of the equation every time you change something.

The equation should now look like this:

Then, isolate the variable by moving the 3 to the other side of the equation. Do this by dividing:

$\frac{3x}{3}=\frac{33}{3}=11$

Your answer should be as follows:

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Question

Answer

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. In order to move the 63 to the other side of the equation, you must do the opposite operation (subtraction). Keep in mind you must do the same step on each side of the equation every time you change something.

Your equation should now look like this:

Next, isolate your variable by moving the 6 to the other side of the equation using division:

$\frac{-60}{6}=\frac{6x}{6}=-10$

Your result should look like this:

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Question

Answer

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. In order to move the 40 to the other side of the equation, you must do the opposite operation (subtraction). Keep in mind you must do the same step on each side of the equation every time you change something.

The equation should now look like this:

Then, divide by 6:

$\frac{6x}{6}=\frac{-42}{6}=-7$

The result should be the following:

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Question

Answer

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. In order to move the -3 to the other side of the equation, you must do the opposite operation (addition). Keep in mind you must do the same step on each side of the equation every time you change something.

The equation should now look like this:

Next, isolate the variable by moving it to the other side of the equation. Do this by doing the opposite operation (division):

$\frac{4x}{4}=\frac{36}{4}=9$

The result should be the following:

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Question

Answer

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. In order to move the -2 to the other side of the equation, you must do the opposite operation (addition). Keep in mind you must do the same step on each side of the equation every time you change something.

The equation should now look like this:

Then, isolate the variable by moving the 7 to the other side of the equation. Do this by doing the opposite operation (division).

$\frac{7x}{7}=\frac{49}{7}=7$

The result should be the following:

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Question

Answer

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. In order to move the -38 to the other side of the equation, you must do the opposite operation (addition). Keep in mind you must do the same step on each side of the equation every time you change something.

The equation should now look like this:

Then, isolate the variable by moving the 15 to the other side of the equation. Do this by doing the opposite operation (division).

$\frac{15x}{15}=\frac{120}{15}=8$

The result should be as follows:

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