Polynomial
Word Problems
data
parallel and perpendicular lines
Linear Equation
100

(3x2+4x)(2x2+6x)

6x4+26x3+24x

100

A movie theater sold 200 tickets. Adult tickets cost $15 each, and child tickets cost $6 each. If the total revenue from ticket sales was $2,100, how many adult tickets and how many child tickets were sold? Let x represent the number of adult tickets sold and y represent the number of child tickets sold.

The theater sold 100 adult tickets and 100 child tickets.

100

what is the mode?

1,2,3,3,3,4,4,5,5,5,5

5

100

what is the slope to the line parallel to y=2x+5

2

100

20+5x=60

x=8

200

(2x2+6x)(4x+4)

8x3+32x2+24x

200

A farmer has 200 meters of fencing to enclose a rectangular field. The length of the field is 5 meters more than its width. What are the dimensions of the field?Let w represent the width of the field, and l represent the length of the field.

The width of the field is 47.5 meters, and the length is 52.5 meters.

200

what is the median?

2,4,4,5,5,5,6,7,7

5

200

what is the equation of the line perpendicular to y = -3/4x + 2 the line passes through (4,-1)

y=4/3x -19/3

200

2x=12

x=6

300

Factor the equation

9x2+6x-12

3(3x2+2x-4)

300

A bookstore is having a sale. Hardcover books cost $15 each, and paperback books cost $8 each. A customer buys 20 books and spends $220 in total. How many hardcover books and how many paperback books did the customer buy?Let x represent the number of hardcover books and y represent the number of paperback books.

x=8.57

300

what is the mean?

1,1,2,3,3,4,4,4,5,5,6

38/11 or 3.45

300

find the equation of the line parallel to 2x-3y=6 the line passes through (1,4)

y=2/3x+14/3

300

2x+3+x=27

x=8

400

(3x2+5x+4)+(2x2-3x+7)

5x2+2x+3

400

A car rental company charges two fees: a daily rental fee of $40 and a mileage fee of $0.20 per mile driven. A customer rents a car for 5 days and is billed $320. How many miles did the customer drive? Let x represent the number of miles driven.

The customer drove 600 miles.

400

what is the iqr

72, 85, 90, 88, 75, 95, 89, 84, 91, 77

13

400

find the equation of the line perpendicular to 4x+y=8 it passes through (2,3)

y=1/4x+5/2

400

Find for L

2L+2w=72

L=36-w

500

(x-2)(x+3)(x-5)

x3-4x2-11x+30

500

A chemist has two solutions: one that is 40% acid and another that is 70% acid. How many liters of each solution should the chemist mix to create 50 liters of a solution that is 50% acid? Let x represent the number of liters of the 40% solution, and y represent the number of liters of the 70% solution.

The chemist should mix 33.33 liters of the 40% solution and 16.67 liters of the 70% solution.

500

find the equation of the line that is perpendicular to y=3/5x-7 it passes through (4,2)

y=5/3x-14/3

500

50+0.25x=0.40x

x=50/0.15

M
e
n
u