Systems of Equations Word Problems
A class of 32 consists of students who either have red or yellow shirts. If there are 12 more people with red shirts than there are people with yellow shirts, how many of the students have red shirts?
10 yellow shirts and 22 red shirts
g(r)=25−3r; Find g(4)
What is g(4) = 13
(n2 - n - 29) ÷ (n - 6)
What is n + 5 + (1/n-6)
(2/7) ÷ (18/8x2)
What is 8x2/63
u = ak/b
solve for a
What is a = ub/k
Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 then how many of each kind did she buy?
2 fancy shirts and 5 plain shirts
h(n) = −2n2 + 4; Find h(4)
What is h(4) = -28
(18r5+36r4+27r3) ÷ 9r
What is 2r4+4r3+3r2
(7/18) ÷ (6/9a)
What is 7a/12
xm = np
solve for x
What is x = np/m
A farmhouse shelters 11 animals. Some are goats and some are ducks. Altogether there are 34 legs. How many of each animal are there?
5 ducks and 6 goats
h(x) = 4x − 2; Find h(x + 2)
What is 4x + 6
(a2-28) ÷ (a - 5)
What is a + 5 - 3/a-5
(3/28b) ÷ (3/b+1)
What is (b + 1)/(28b)
g = x - c/x
solve for x
What is x = -c/g - 1
John has $5.05 in quarters and nickels in his pocket. If John only has 25 coins in his pocket, how many of the coins are quarters?
3 nickles and 22 quarters
f(n) = n2 - 2n; Find f(n2)
What is n4 - 2n2
(30r3+2r2+30r) ÷ 10r2
What is 3r + (1/5) + (3/r)
(7/8r-40) ÷ (1/8r-40)
What is 7
u = 3b - 2a + 2
solve for a
What is a = -u + 3b +2 / 2
At Elisa's Printing Company LLC there are two kinds of printing presses: Model A which can print 70 books per day and Model B which can print 55 books per day. The company owns 14 total printing presses and this allows them to print 905 books per day. How many of each type of press do they have?
9 of Model A and 5 of Model B
p(a) = a3 - 5; Find p(x-4)
What is x3 - 12x2 + 48x - 69
(x3- 13x2 + 40x +18) ÷ (x - 7)
What is x2 - 6x - 2 + (4/x-7)
(16x - 56/8) ÷ (8x - 28/4)
What is 1
u = -2a -3/ka
solve for a
What is a = -3 / uk + 2