One-Step Equations - Pre-Algebra

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Question

Solve for :

Answer

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Question

Solve for :

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The goal is to isolate the variable on one side.

Divide each side by :

$\frac{0.75x}{0.75}=\frac{9}{0.75 }$

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Question

Solve for :

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The goal is to isolate the variable on one side.

Divide each side by :

$\frac{9.25x}{9.25}=\frac{74}{9.25}$

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Subtract 1.75 from both sides of the equation:

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Question

Solve for :

$\small .6x=6$

Answer

To isolate , we must divide both sides by .6:

$\small \small \frac{.6x}{.6}=\frac{6}{.6}$

$\small 1x=10$

$\small x=10$

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Question

Solve for :

Answer

The goal is to isolate the variable on one side.

The opposite operation of addition is subtraction so subtract 8.11 from each side:

Simplifying, we get the final solution:

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Question

Solve for :

$\frac{x}{0.5} = 2$

Answer

The goal is to isolate the variable on one side.

$\frac{x}{0.5} = 2$

The opposite operation of division is multiplication, therefore , multiply each side by 0.5:

$\frac{0.5x}{0.5} = 0.5\times 2$

The left hand side can be reduced by recalling that anything divided by itself is equal to 1:

$1\times x = 0.5 \times 2$

The identity law of multiplication takes effect and we get the solution as:

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Question

Solve for :

$\frac{x}{0.15} = 3$

Answer

The goal is to isolate the variable on one side.

$\frac{x}{0.15} = 3$

The opposite operation of division is multiplication, therefore , multiply each side by 0.15:

$\frac{0.15x}{0.15} = 0.15\times 3$

The left hand side can be reduced by recalling that anything divided by itself is equal to 1:

$1\times x = 0.15 \times 3$

The identity law of multiplication takes effect and we get the solution as:

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Question

Solve for :

Answer

The goal is to isolate the variable on one side.

The opposite operation of subtraction is addition so add 0.23 to each side:

Simplifying, we get the final solution:

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Question

Solve for :

Answer

The goal is to isolate the variable on one side.

The opposite operation of subtraction is addition so add 1.94 to each side:

Simplifying, we get the final solution:

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Question

Solve for :

Answer

The goal is to isolate the variable on one side.

The opposite operation of addition is subtraction so subtract 0.001 from each side:

Simplifying, we get the final solution:

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Question

Solve for :

Answer

Explanation:

The goal is to isolate the variable on one side.

Divide each side by :

$\frac{0.25x}{0.25} = \frac{4}{0.25}$

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Question

Solve for .

Answer

Subtract both sides by . Remember, can also be written as

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Solve for

Answer

Subtract both sides by .

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Question

Solve for .

Answer

Subtract both sides by .

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Solve for

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Subtract both sides by .

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Add both sides by .

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Question

Answer

Add both sides by . To determine the answer, let's compare values by ignoring signs. is greater than and that value is negative, so our answer is negative. We do subtraction to find the answer which is Since we want a negative answer, the final answer becomes

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Question

Solve for .

Answer

Add both sides by . Remember, can also be written as

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Question

Solve for

Answer

Add both sides by .

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