x + 6 = –5
x = –11
4x = –20
x = –5
3x + 4 = 19
x = 5
7x − 4 = 31
x = 5
Jonelle spends $22.50 at a library book sale. She spends $4.50 on paperback books and buys 6 hardcover books of equal value. Determine the cost of each hardcover book.
4.50 + 6b = 22.50; $3.00
7 = 6 + b
b = 1
6 = –3c
c = –2
53 = 6x + 11
x = 7
−10x + 25 = −35
x = 6
Fatima orders model car kits, which cost $7.50 each, from a hobby store. The store charges $6.00 to deliver the kits, and Fatima spends a total of $73.50. Determine the number of model car kits Fatima buys.
7.50m + 6 = 73.50; 9 kits
–12 = z + 8
z = –20
6y = –24
y = –4
33 = 4x + 9
x = 6
28 = −5x − 12
x = −8
A dog kennel feeds some dogs dry food and some dogs wet food. The kennel uses 13 1/2 cups of dry dog food and has 7 dogs that each eat an equal amount of wet dog food. The total amount of food the kennel uses is 25 3/4 cups. Determine the amount of wet dog food each dog eats.
13.5 + 7c = 25.75, c = 1.75 cups
y – 3 = –7
y = –4
t/4 = −8
t = –32
8x + 5 = −11
x = −2
−25 = 2x − 7
x = −9
Aiden has $2,800 remaining on a car loan. His loan payment is $350 each month. Determine in how many months Aiden will have $700 left to pay.
2,800 – 350x = 700; 6 months
11 = p – 5
p = 16
−3 = r/6
r = –18
37 = 9x + 1
x = 4
−18 = −x – 17
x = 1
Linnea has 160 pages to read in a book. She reads one page every 2.5 minutes. Determine how many minutes it will take Linnea to have 75 pages left.
160 – 2.5p = 75; 34 minutes