Two-Step Equations with Decimals

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Pre-Algebra › Two-Step Equations with Decimals

Questions 1 - 10
1

Solve for p:

Explanation

2

Solve for :

Explanation

Explanation:

Step 1: Subtract from both sides:

Step 2: Divide both sides by :

3

Compute:

Explanation

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Subtract from both sides of the equation.

Divide on both sides.

4

Explanation

5

Solve for x:

Explanation

To solve, use inverse opperations: do the opposite steps in the opposite order. Order of opperations is usually PEMDAS, with addition and subtraction last, so we'll do addition/subtraction first:

right now it says to add , so we'll subtract it from both sides.

next we will do multiplication/dividion. Right now it is multiplying by , so we will divide both sides by .

6

Solve for :

Explanation

The goal is to isolate the variable to one side.

Subtract from both sides:

Divide each side by :

7

Solve:

Explanation

To isolate the unknown variable, first subtract one from both sides.

Divide by on both sides of the equation.

8

Solve the following equation:

Explanation

To isolate the variable, subtract nine from both sides of the equation.

Simplify both sides of the equation.

Convert the decimal on the left side of the equation to a fraction.

Rewrite the equation.

Multiply both sides by to get by itself.

Simplify both sides of the equation. Multiply the tens together on the right side of the equation and leave the fraction in improper form.

The answer is:

9

Solve:

Explanation

In order to solve this equation, we need to group the terms and separate the integer .

Add on both sides.

Add both sides by .

Add the left side of the equation to get .

The answer is:

10

Solve:

Explanation

In order to solve this equation, first add on both sides of the equation.

Simplify the left and right side of the equation.

Convert the decimal on the left side of the equation to a fraction.

Rewrite the equation.

To isolate the unknown variable, multiply by the reciprocal of , or , on each side of the equation.

Simplify the left and the right side of the equation.

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