### All Basic Arithmetic Resources

## Example Questions

### Example Question #1 : How To Subtract Integers

Evaluate the following:

**Possible Answers:**

**Correct answer:**

When you subtract integers, it is the same thing as adding the inverse of the second integer. You can consider the following:

You can also consider the problem as asking for six less than negative four. This will also get you to the answer of .

### Example Question #1 : Linear Equations With Whole Numbers

Jimmy had in lunch money for school. Everyday he spends for food and drinks. What is the expression that shows how much money will he have after each day, where is the days, and is the total amount of money left?

**Possible Answers:**

**Correct answer:**

Jimmy starts off with $60, and spends $3.50 everyday.

This means that he will have $56.50 after day 1, $53 after day 2, and so forth.

Only one equation satisfies this scenario. The rest are irrelevant.

### Example Question #1 : Creating Equations With Whole Numbers

What is the solution of for the systems of equations?

**Possible Answers:**

**Correct answer:**

We add the two systems of equations:

For the Left Hand Side:

For the Right Hand Side:

So our resulting equation is:

Divide both sides by 10:

For the Left Hand Side:

For the Right Hand Side:

Our result is:

### Example Question #31 : Systems Of Equations

What is the solution of that satisfies both equations?

**Possible Answers:**

**Correct answer:**

Reduce the second system by dividing by 3.

Second Equation:

We this by 3.

Then we subtract the first equation from our new equation.

First Equation:

First Equation - Second Equation:

Left Hand Side:

Right Hand Side:

Our result is:

### Example Question #3 : Creating Equations With Whole Numbers

What is the solution of for the two systems of equations?

**Possible Answers:**

**Correct answer:**

We first add both systems of equations.

Left Hand Side:

Right Hand Side:

Our resulting equation is:

We divide both sides by 3.

Left Hand Side:

Right Hand Side:

Our resulting equation is:

### Example Question #51 : Systems Of Equations

What is the solution of for the two systems?

**Possible Answers:**

**Correct answer:**

We first multiply the second equation by 4.

So our resulting equation is:

Then we subtract the first equation from the second new equation.

Left Hand Side:

Right Hand Side:

Resulting Equation:

We divide both sides by -15

Left Hand Side:

Right Hand Side:

Our result is:

### Example Question #1 : Linear Equations With Whole Numbers

Dr. Jones charges a $50 flat fee for every patient. He also charges his patients $40 for every 10 minutes that he spends with him. If Mrs. Smith had an appointment that lasted 30 minutes, how much did she have to pay Dr. Jones?

**Possible Answers:**

$90

$200

$120

$170

**Correct answer:**

$170

We can express Dr. Jones's rate in a linear equation:

Since Mrs. Smith's appointment lasted 30 minutes, we have 3 10-minute intervals. Then, we can plug in that number into our above equation to find out how much the appointment cost.

### Example Question #1 : Linear Equations With Whole Numbers

Roman is ordering uniforms for the tennis team. He knows how many people are on the team and how many uniforms come in each box. Which equation can be used to solve for how many boxes Roman should order?

**Possible Answers:**

b = number of students x number of uniforms per box

b = number of boxes ÷ number of uniforms per box

b = number of students - number of uniforms per box

b = number of students ÷ number of uniforms per box

b = number of boxes x number of uniforms per box

**Correct answer:**

b = number of students ÷ number of uniforms per box

The total number of uniforms needed equals the number of students divided by the number of uniforms per box.

### Example Question #1 : Solving Equations With Whole Numbers

Solve for .

**Possible Answers:**

**Correct answer:**

First, add 6 to both sides so that the term with "x" is on its own.

Now, divide both sides by 2.

### Example Question #1 : Solving Equations With Whole Numbers

Solve for .

**Possible Answers:**

**Correct answer:**

Start by isolating the term with to one side. Add 10 on both sides.

Divide both sides by 7.