### All Algebra 1 Resources

## Example Questions

### Example Question #3341 : Algebra 1

An infinite sequence begins as follows:

Assuming this pattern continues infinitely, what is the sum of the first one hundred terms?

**Possible Answers:**

**Correct answer:**

This can be best solved by looking at this sum as follows:

with taken as an addend fifty times. This is equal to

### Example Question #11 : How To Find F(X)

Define . Which function is equal to ?

**Possible Answers:**

**Correct answer:**

### Example Question #11 : How To Find F(X)

Define and .

What is ?

**Possible Answers:**

**Correct answer:**

### Example Question #11 : How To Find F(X)

Define and .

What is ?

**Possible Answers:**

**Correct answer:**

### Example Question #15 : Algebraic Functions

Each of the four tables below defines a relationship between (domain) and (range).

One of these tables does not define a function. Identified the table.

**Possible Answers:**

Table 4

Table 1

Table 2

None of the above.

Table 3

**Correct answer:**

Table 3

In table 3 we see an value of 3 gets tranformed into 5, 7, 9 ,and 11 which is not possible for a function. Hence the relationship between and in Table 3 does not define a function.

### Example Question #17 : How To Find F(X)

Each of the following 4 sets defines a relationship between and . Which of these four sets defines a one-to-one function:

A =

B=

C =

D =

**Possible Answers:**

Set B

Set A and Set B

Set D

Set C

Set A

**Correct answer:**

Set A

Only in set A one can see that there is an unique value of for each value of and similarly each of the values maps into one and only one value. Hence set A must define a one-to-one function.

### Example Question #11 : How To Find F(X)

Which of the following equations does not represent a function?

**Possible Answers:**

**Correct answer:**

The correct answer is equation D. If we solve for we get

The fact that each value of gives us two values of disqualifies it as a function.

### Example Question #3351 : Algebra 1

Which of the following equations represents a one-to-one function:

**Possible Answers:**

**Correct answer:**

Only equation B maps each value of into a unique value of and in a similar way each and every value of maps into one and only one value of .

### Example Question #3351 : Algebra 1

Test whether the given function is symmetric with respect to the -axis, -axis, origin.

**Possible Answers:**

x axis

Not symmetric with respect to x axis, y axis, and the origin

origin

All of the above

y axis

**Correct answer:**

Not symmetric with respect to x axis, y axis, and the origin

Since

It is not symmetric with respect the -axis

It is not symmetric with respect to the -axis

Hence multiplying by both sides we get

Hence it is not symmetric with respect to the origin.

### Example Question #3352 : Algebra 1

A function is defined by the following set of ordered pairs:

What is its inverse?

**Possible Answers:**

The function does not have an inverse.

**Correct answer:**

The function does not have an inverse.

The inverse of a function is the relation that switches the positions of the coordinates of each ordered pair. However, for a function to have an inverse, the result of those switches must itself be a function. The switches yield the relation

which is not a function, since the -coordinate 5 is paired with two -coordinates, 1 and 5.

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