Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

varsity tutors app store varsity tutors android store

Example Questions

Example Question #6 : How To Find The Missing Number In A Set

Find the missing number:

 

Possible Answers:

Correct answer:

Explanation:

Find the missing number:

To find the missing number, we need to find the pattern.

If we look closely, our numbers are going up by the same number each time: 13

To check this, find the difference between neighboring numbers

You get the idea.

So, to find the missing number, simply do the following:

Example Question #5 : How To Find The Missing Number In A Set

Find n in the following sequence:

Possible Answers:

Correct answer:

Explanation:

You need to evaluate the terms in the sequence to determine the pattern that is shown. In this case, the first term is multiplied by 2 and the second term is found by adding 3.

 

Example Question #4 : How To Find The Missing Number In A Set

The first four numbers in the following set are parabolic:  .  What must the missing numbers, respectively?

Possible Answers:

Correct answer:

Explanation:

Notice that the world parabolic is given.  This means that our parent function will be in the form:   

The terms resemble a pattern where the parent function  is centered at , and the first term starts at  and so forth.

We can find the two missing terms by substituting  to determine the missing numbers.

The first number is:

The second number is:  

The respective numbers are:  

Example Question #6 : How To Find The Missing Number In A Set

Find the missing numbers in the set of numbers:   

Possible Answers:

Correct answer:

Explanation:

Notice that the second and third terms in the set of numbers can be subtracted to determine the displacement of each number in the set.

Subtract negative three from one.  Enclose the negative number with parentheses.

Each number is spaced four units.

Subtract four from negative three to find the first number.

Add four to one to find the number for the second question mark.

This number is also four units from nine.

The answer is:  

Example Question #7 : How To Find The Missing Number In A Set

Find the missing numbers, respectively:   

Possible Answers:

Correct answer:

Explanation:

Determine the distance between each number.

The second and the third number are spaced  units.

Check the third and fourth number if this is also has the same displacement.

Since this is true, this means that the numbers are also spaced at  units.

Notice the fractions are in decreasing order.

Add  units to the second term to obtain the first term.

Reduce this fraction.

The first term is:  

Subtract  units from  to obtain the fifth term.

Reduce this fraction.

The fifth term is:  

The correct answer is:  

Example Question #1 : How To Graph An Ordered Pair

The points  and  are plotted on a quadrant. Which graph depicts the correct points?

Possible Answers:

Question_4_correct

Question_4_incorrect_2

Question_4_incorrect_3

Question_4_incorrect_1

Correct answer:

Question_4_correct

Explanation:

A quadrant is set up in such a way that the positive numbers are to the right and top, while the negative numbers are to the left and bottom. The x-value (the first number in the ordered pair) is the distance left or right from the center. The y-value (the second number in the ordered pair) is the distance above or below the axis.

will be units to the right, and units up.

will be units to the left, and units up.

Example Question #1 : How To Graph An Ordered Pair

Which of the followiing quadrants would contain the point  ?

Possible Answers:

Quadrant III

None of the other answers is correct.

Quadrant IV

Quadrant I

Quadrant II

Correct answer:

None of the other answers is correct.

Explanation:

 has 0 as its -cordinate and is therefore on the -axis, which is not part of any of the four quadrants.

Example Question #1 : Graphing

Which of the following points would be in Quadrant III on the coordinate plane?

Possible Answers:

None of the points listed would be in Quadrant III.

Correct answer:

Explanation:

Quadrant III comprises the points whose - and - coordinates are both negative. This makes  the correct choice.

Example Question #4 : How To Graph An Ordered Pair

Which of the following quadrants would contain the point  ?

Possible Answers:

Quadrant I

Quadrant II

Quadrant IV

None of the other answers is correct.

Quadrant III

Correct answer:

None of the other answers is correct.

Explanation:

 has 0 as its -coordinate and is therefore on the -axis, which is not part of any of the four quadrants.

Example Question #1 : How To Graph An Ordered Pair

Which of the following ordered pairs is in the third quadrant?

Possible Answers:

Correct answer:

Explanation:

The third quadrant is the lower left quadrant, where both the  and  values are negative.  The point  is the only point that is in this quadrant.

Learning Tools by Varsity Tutors