Systems of Equations Word Problems
Find the value of two numbers if their sum is 28 and their difference is 6.
17 and 11
3/8v / 5/9v
27/40
h(n)=-4n2+4; Find h(4)
-60
(t2-t-29)/(2-6)
t+5+ 1/t-6
The drama club is putting on a performance for the school festival. On the first day, they sold 5 senior tickets and 2 child tickets for a total of $49. On the second day, the school received $104 by selling 4 senior tickets and 7 child tickets. Find the price of a senior ticket and the price of a child ticket.
Senior ticket: $5, Child ticket: $12
12/7 / 4/11n
33n/7
g(a)=|a+2|+6; Find h(6)
14
(r2-7r+10)/(r-1)
r-6+ 4/r-1
Johnny and Mark are selling candy for a school project. Customers can buy small boxes of chocolate and large boxes of chocolate. Jonny sold 3 boxes of small chocolates and 14 boxes of large chocolates for a total of $203. Mark sold 11 small boxes of chocolates and 11 large boxes of chocolate for a total of $220. Find the cost of one small box of chocolates and one large box of chocolates.
Small box of chocolates; $7, large box of chocolates; $13
5/20 / 5r/3
3/20r
g(x)=-43x; Find g(-1)
(k2-28)/(k-5)
k+5-3/k-5
Alonzo walked from home to the bust stop at an average speed of 5 km/h. He immediately got on his school bus and traveled at an average speed of 60 km/h until he got to school. The total distance from his home to school is 35 kilometers, and the entire trip took 1.5 hours. How many kilometers did Alonzo cover by walking, and how many kilometers did he cover by traveling on the bus?
Alonzo walked 5 kilometers and traveled 30 kilometers on the bus
8(10-x)/(x+1)(x-10) / x-8/(x-8)(x+1)
-8
k(a)=a+3; Find k(a+4)
a+7
(a2+5a+3)/(a+6)
a-1+ 9/a+6
A boat traveled 336 miles downstream and back. The trip downstream took 12 hours. The trip back took 14 hours. What is the speed of the boat in still water? What is the speed of the current?
boat: 26mph, current: 2 mph
21m-63/9m2-36m+27 / 1/27m-27
63
w(t)=-43t+2; Find w(t-2)
-43a-4
(6p2-52p-71)/(6p+8)