Life Math 8 (Final Exam)

A company manufactures three types of cabinets, type A, type B, and type C.

Last week, the number of type B cabinets produced was 30 more than 1/2 the number of type A cabinets produced. The number of type C cabinets produced was 20 more than 2/3 times the number of type A cabinets produced.

If the company made the same number of type B and type C cabinets last week, then the number of type A cabinets produced was __________ . The total number of cabinets produced last week was _____________.

• 10, 60

• 10, 80

• 11, 82

• 10, 70

Alan, Bill, and Calvin are playing a game with collectible cards. At the moment, Alan has 11 less than 2 and 1/2 times the number of cards Bill has. Calvin has 1

more than 1 and 1/2 times the number of cards Bill has.

If Alan and Calvin have the same number of cards, the number of cards Bill has is_____________ . The number of cards Alan and Calvin each have is_____________ .

If Alan, Bill, and Calvin have all the cards in the deck, then the deck has cards_______________.

• 12, 19, 50

• 12, 33, 52

• 9, 10, 11

• 12, 19, 60

Gracie, Mary, and Nancy each have a small collection of seashells. Gracie has 5 more than 1 and 1/4 times the number of shells Mary has. Nancy has 1 more than

1 and 1/2 times the number of shells Mary has. Gracie and Nancy have the same number of shells. If x is the number of shells Mary has, identify the equation that

represents this situation and identify its solution.

• 3/2 x + 1 = 5/4 x + 5, x=16

• 3/2 x + 1 = 5/4 x - 5, x=18

• 3/2 x - 1 = 5/4 x + 5, x=24

1/4 x + 5/3 x - 4 = 2 - 1/12 x

• -3

• -2

• 3

• 7

3.2b - 4.7 = 3b - 3.3

• 3

• 7

• -2

• -3

4.6 y - y + 4 = y - 1.2

• 3

• 7

• -2

• -3

7.5 c - 2.5 c + 8 = -7

• 3

• 7

• -2

• -3

7.5 c - 2.5 c + 8 = -7

• 3

• 7

• -2

• -3

Which problem is greater?

• 10.1 x - 1.6 x + 44 = -7

• 1/4 x + 5/2 x -2 = 4 - 1/4 x

Which problem is greater?

• 7.9 x + x + 4 = -1.1 x - 16

• 10.1 x - 1.6 x + 44 = -7