How to solve one-step equations with integers in pre-algebra

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Math › How to solve one-step equations with integers in pre-algebra

Questions 1 - 10

1

Solve for if .

Explanation

To solve for we must get all of the numbers on the other side of the equation as .

To do this in a problem where is being subtracted by a number, we must add the number to both sides of the equation.

In this case the number is so we add to each side of the equation to make it look like this

The s cancel on the left side and leave by itself.

Then we perform the necessary addition to get the answer of

The answer is .

2

Solve for .

Explanation

To solve equations, you must perform the same operations on both sides.

Subtract 5 from both sides.

3

Solve for if

$\frac{x}{5}=12$

$x=\frac{12}{5}$

Explanation

To solve for we must get all of the numbers on the other side of the equation as .

To do this in a problem where is being divided by a number, we must multiply both sides of the equation by the number.

In this case the number is so we multiply each side of the equation by to make it look like this

$5(\frac{x}{5})=(12)5$

The 's on the left side cancel so we only have .

Then we perform the necessary multiplication to get the answer of .

4

Solve for .

Explanation

To solve for , the first thing we need to do is isolate the variable. That means we want ONLY on the left side of the equation.

Divide both sides by .

$\frac{2x}{2}=\frac{32}{2}$

$x=\frac{32}{2}$

5

Solve for .

Explanation

Subtract from both sides.

6

Solve for if .

Explanation

Divide each side of the equation by to isolate x: $\frac{7x}{7}=\frac{91}{7}$

The s on the left side of the equation cancel to leave by itself.

$\frac{91}{7}=13$

The answer is therefore .

7

Solve for if

Explanation

To solve for we must get all of the numbers on the other side of the equation as .

To do this in a problem where a number is being added to , we must subtract the number from both sides of the equation.

In this case the number is so we subtract from each side of the equation to make it look like this

The 's on the left side cancel to get

Then we perform the necessary subtraction to get the answer of .

8

Solve for if .

Explanation

To solve for we must get all of the numbers on the other side of the equation as .

To do this in a problem where a number is being added to , we must subtract the number from both sides of the equation.

In this case the number is so we subtract from each side of the equation to make it look like this

The 's on the left side cancel to get

Then we perform the necessary subtraction to get the answer of .

9

Solve for .

Explanation

To solve , we need to isolate . That means we need to divide both sides by .

$\frac{2x}{2}=\frac{4}{2}$

10

$\frac{x}{2}=12$

Solve for .

Explanation

To solve $\frac{x}{2}=12$ , we need to multiply both sides by .

$\frac{x}{2}=12$

$2*\frac{x}{2}=12*2$

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