Algebra Answers

What is the next term in the geometric sequence 16, –4, 1, – 1
4 , … ?

A total of 50 juniors and seniors were given a math test. The 35 juniors attained an average score of 80 while the 15 seniors attained an average of 70. What was the average score for all 50 students who took the test?

Adam tried to compute the average of his 7 test scores. He mistakenly divided the correct sum of all his test scores by6, which yielded 84. What is Adam's correct average test score?

four students about to purchase concert tickets for @18.50 for each ticket discover that they may purchase a block of 5 tickets for $80.00. How much would each of the 4 save if they can get a fifth person to join them and the 5 people equally divide the price of the 5-ticket block?

Eight years ago, Heather was twice as old as her brother David. Today, she is 13 years older than him. How old is she?

Two rooms in a very large building are connected by an archway. The height, in feet, of the archway x feet from one side of the opening is given by the function

f(x)=−3.3x2+27x.

How wide is the archway? How tall is the archway at its highest point?
The archway is_____feet wide and____feet tall.

What is the remainder when 95674321is divided by 9?

The equation
1−x/x=x
has two real solutions solution. They are
x=_____ , ± ______

Hint:
Begin by multiplying with x on both sides.

(a) If f is one-to-one and f(−12)=14, then f−1(14)= and (f(−12))−1= .
(b) If g is one-to-one and g(−7)=10, then g−1(10)= and (g(−7))−1= .