5.3 Problem Solving 5ample Questions

5.3 Problem Solving 5ample Questions

85.

A dealer originally bought 100 identical batteries at a total cost of q dollars. If each battery was sold at 50 percent aboye the original cost per battery, then, in terms of q, for how many dollars was each battery sold?

(A) (8)

86.

....9..- + 50

(E)

-

100 150 q

In an increasing sequence of 10 consecutive integers, the sum of the first 5 integers is 560. What is the sum of the last 5 integers in the sequence?

90.

30 25 20 15 7.5

A necklace is made by stringing N individual beads together in the repeating pattern red bead, green bead, white bead, blue bead, and yellow bead. If the necklace design begins with a red bead and ends with a white bead, then N could equal

(A)

9

(8)

3

(C)

-

(D)

1

(E)

-

7 3

1

3

At the rate of m meters per s seconds, how many meters does a cyclist travel in x minutes?

(8) (C)

(D) (E) 91.

16 32 41 54 68

In the xy-coordinate system, if (a,b) and (a + 3, b + k) are two points on the line defined by the equation x = 3y- 7, then k =

(A)

585 580 575 570 565

Machine A produces 100 parts twice as fast as machine 8 does. Machine 8 produces 100 parts in 40 minutes. If each machine produces parts at a constant rate, how many parts does machine A produce in 6 minutes?

(C) (D) (E) 88.

2

(D)

(A) (8)

89.

3q

150q

(C) (D) (E)

(C) (D) (E)

200

(C)

(A) (8)

87.

3q

(A) (8)

m sx mx

s 60m sx 60ms

x 60mx

s

If Sam were twice as old as he is, he would be 40 years older than Jim. If Jim is 10 years younger than Sam, how old is Sam? (A) (8)

(C) (D) (E)

20 30 40 50 60

163