Basic Arithmetic : Basic Arithmetic

Study concepts, example questions & explanations for Basic Arithmetic

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Example Questions

Example Question #3 : Linear Equations With Whole Numbers

Solve for t.

Possible Answers:

Correct answer:

Explanation:

First start by distributing the 7.

Now, add both sides by 14.

Finally, divide both sides by 7.

Example Question #11 : Linear Equations With Whole Numbers

Solve for .

Possible Answers:

Correct answer:

Explanation:

Start by adding 10 to both sides of the equation.

Then, divide both sides by .

Example Question #1 : Solving Equations With Whole Numbers

Solve for :

Possible Answers:

Correct answer:

Explanation:

First, add  to both sides of the equation:

Then, divide both sides by :

Example Question #1 : Solving Equations With Whole Numbers

If , what is  equal to?

Possible Answers:

Correct answer:

Explanation:

When solving an equation, we need to find a value of x which makes each side equal each other. We need to remember that  is equal to and the same as . When we solve an equation, if we make a change on one side, we therefore need to make the exact same change on the other side, so that the equation stays equal and true. To illustrate, let's take a numerical equation:

If we subtract  from each side, the equation still remains equal:

If we now divide each side by , the equation still remains equal:

This still holds true even if we have variables in our equation. We can perform the inverse operations to isolate the variable on one side and find out what number it's equal to. To solve our problem then, we need to isolate our  term. We can do that by subtracting  from each side, the inverse operation of adding :

We now want there to be one  on the left side.  is the same thing as , so we can get rid of the 6 by performing the inverse operation on both sides, i.e. dividing each side by :

 is therefore our final answer.

 

Example Question #1 : Solving Equations With Whole Numbers

Solve:

Possible Answers:

Correct answer:

Explanation:

The answer is . The goal is to isolate the variable, , on one side of the equation sign and have all numerical values on the other side of the equation.

Since  is a negative number, you must add  to both sides.

Then, divide both sides of the equation by :

Example Question #41 : Basic Arithmetic

How many minutes are in a  hours?

Possible Answers:

 minutes

 minutes

 minutes

 minutes

Correct answer:

 minutes

Explanation:

Knowing that there are 60 minutes in an hour, multiply that amount by the total number of hours (3.5):

 minutes

Example Question #42 : Basic Arithmetic

If I want  yards of fabric, how many inches will I have?

Possible Answers:

 inches

 inches

 inches

 inches

Correct answer:

 inches

Explanation:

1. Find out how many feet you have:

Knowing that there are 3 feet in a yard, you have 3 x 4 yards = 12 feet of fabric.

2. Find out how many inches you have:

Knowing that there are 12 inches in a foot, you have 12 x 12 inches=144 inches of fabric.

Example Question #43 : Basic Arithmetic

A football player ran  yards with the football before he was tackled. How many feet did he run?

Possible Answers:

Correct answer:

Explanation:

Since there are 3 feet to a yard, multiply the number of yards by 3.

Example Question #44 : Basic Arithmetic

How many days are in  hours?

Possible Answers:

Correct answer:

Explanation:

There are 24 hours in a day. To find out how many days are in 432 hours, divide that value by 24, the total number of hours in a day.

Example Question #45 : Basic Arithmetic

How many centimeters are in  meters?

Possible Answers:

Correct answer:

Explanation:

There are  centimeters in  meter.

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