### All Algebra 1 Resources

## Example Questions

### Example Question #911 : Functions And Lines

Find the midpoint of the line that contains the following endpoints:

and

**Possible Answers:**

**Correct answer:**

When finding the midpoint of a line, we use the following formula

where and are the endpoints.

Given the points

and

we can substitute into the formula. We get

### Example Question #912 : Functions And Lines

Find the midpoint of the line containing the following endpoints:

and

**Possible Answers:**

**Correct answer:**

When finding the midpoint of a line, we use the following formula

where and are the endpoints.

Given the points

and

we can substitute into the formula. We get

### Example Question #913 : Functions And Lines

Find the midpoint of the line segment containing the two points

and

**Possible Answers:**

**Correct answer:**

To find the midpoint we follow the formula

Plugging in the points and for and

and we get

### Example Question #914 : Functions And Lines

A line is connected by points and on a graph. What is the midpoint?

**Possible Answers:**

**Correct answer:**

Write the midpoint formula.

Let and .

Substitute the given points.

Simplify the coordinate.

The answer is:

### Example Question #915 : Functions And Lines

Find the midpoint between the following two endpoints: and .

**Possible Answers:**

**Correct answer:**

The midpoint formula is . All we need to do is add the x-values and divide by 2, then add the y-values and divide by 2. This leaves us with a midpoint of .

### Example Question #1 : How To Find Inverse Variation

Find the inverse of the following function:

**Possible Answers:**

None because the given function is not one-to-one.

**Correct answer:**

None because the given function is not one-to-one.

which is the same as

If we solve for we get

Taking the square root of both sides gives us the following:

Interchanging and gives us

Which is not one-to-one and therefore not a function.

### Example Question #1 : How To Find Inverse Variation

Given

and

.

Find .

**Possible Answers:**

**Correct answer:**

Starting with

Replace with .

We get the following:

Which is equal to .

### Example Question #2 : How To Find Inverse Variation

Given:

and

.

Find .

**Possible Answers:**

**Correct answer:**

Start with which is equal to

and then replace with . We get the following:

which is equal to

### Example Question #2 : How To Find Inverse Variation

Which of the following is not a one-to-one function?

**Possible Answers:**

**Correct answer:**

Expression 4 is not even a function because for any value of , one gets two values of violating the definition of a function. If it is not a function, then it can not be an one-to-one function.

### Example Question #5 : How To Find Inverse Variation

is a one-to-one function specified in terms of a set of coordinates:

A =

Which one of the following represents the inverse of the function specified by set A?

B =

C =

D =

E =

F =

**Possible Answers:**

Set C

Set D

Set B

Set F

Set E

**Correct answer:**

Set C

The set A is an one-to-one function of the form

One can find by interchanging the and coordinates in set A resulting in set C.

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