Algebra Answers

The table shows the grade, g, on a test when the number of problems, n, are correct. Write an equation to model this situation.

Find an AP in which the sum of any number of terms is always three times the squared number of these terms.

If S1 be the sum of (2n+1) terms of an AP and S2 be the sum of its odd terms then prove that S1:S2=(2n+1) : (n+1).

If Sn =np and Sm=m2p , m≠n, in an AP, prove that Sp=p3.

The number of terms of an AP is even the sum of odd terms is 24 of the even terms is 30, and the last term exceeds the first by 10.5 . Find the number of terms and the series.

The price of onions was reduced from 10.40 to 8.40.Find reduction percentage

If P,Q,R are the pth,qth,rth terms of an AP. Then :
(a) ∑p(q-r)=0
(b) ∑p(Q-R)=0
(c) ∑P(P-R)=0
(d) All of the above

r=3 h=6 which of the following is equal to 2πr^2+2πrh

30π
45π
48π
54π
90π

Find an equation for the linear model of the situation below and use it to make a prediction. A train is traveling north at a constant rate. At 3:00 P.M. it is 55 miles north of a city. At 4:15 P.M. it is 80 miles north of the city. If d represents the distance in miles, and t represents the time in hours, how many miles north of the city will the train be at 5:45 P.M.?

Kay’s mother taught her how to make handmade ornaments to sell at a craft fair. Kay rented a table
at the fair for $30 and set up her work station. Each ornament that she makes costs approximately
$2.50 for materials. She sells each ornament for $6.00.
If x represents the quantity of ornaments sold at the craft fair, which of the following expressions
would represent Kay’s profit? (Circle all choices that apply.)
A. -30=6x-2.50x
B. 6x-30-2.50x
C. 6x-30
D. 4.50x-30
E. 3.50x-30