Algebraic Equations - Pre-Algebra

Card 0 of 1476

Solve for :

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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 }$

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}$

Solve for :

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Subtract 1.75 from both sides of the equation:

Solve for :

$\small .6x=6$

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

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

$\small 1x=10$

$\small x=10$

Solve for :

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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:

Solve for :

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

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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:

Solve for :

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

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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:

Solve for :

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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:

Solve for :

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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:

Solve for :

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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:

Solve for :

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Explanation:

The goal is to isolate the variable on one side.

Divide each side by :

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

Solve for .

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

Solve for

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Subtract both sides by .

Solve for .

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Subtract both sides by .

Solve for

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Subtract both sides by .

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Add both sides by .

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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

Solve for .

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

Solve for

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Add both sides by .