Algebra exam

1) 9x + 8 = 2x + 8

a. -1

b. 0

c. 1

d. 2

2) 5 + 11 =    7

 -------   ----  ------

Y  + 4  y² + y-12   y-3

a. 16

b -16

c. 2

d. -2

3) Find a number such that 54 more than one-half the number is twice the number.

a. 36

b. 27

c. 15

d. 32

4) The length of a rectangle is 2 cm more than twice its width. If the perimeter of the rectangle is 40 cm, find the length of the rectangle.

a. 6 cm

b. 9 cm

c. 11 cm

d. 14 cm

5) The sale price of an item after a 15% discount is $102. What was the price before the discount?

a. $117

b. $125

c. $120

d. $110

6) How much pure antifreeze must be added to 12 gallons of 20% antifreeze to make 40% antifreeze solution?

a. 2 gallons

b. 4 gallons

c. 6 gallons

d. 8 gallons

7) One computer printer can print a company’s mailing labels in 40 minutes. A second printer would take 60 minutes to print the labels. How long would it take the two printers, operating together, to print the labels?

a. 30 minutes

b. 24 minutes

c. 50 minutes

d. 32 minutes

8) Rewrite the interval in inequality notation

  (-3, ∞)

a. x >  -3

b. x <  -3

c. x ≤  -3

d. x ≥  -3

9) Fill in the blanks with > or < to make the resulting statement true.

-4_____-6 and -4 -5____-6 -5

a. <, <

b. >,>

c. <, >

d. >, <

10) Write as a single interval, if possible. ( -2, 4] ∩ [0, 5)

a. (-2, 5)

b. [0, 4)

c. (-2, 4]

d. [0, 5)

11) A musician is planning to market a CD. The fixed costs are $330 and the variable costs are $5 per CD. The wholesale price of the CD will be $8. For the artist to make a profit, revenues must be greater than costs. How many CDs, x, must be sold for the musician to make a profit?

a. x > 100

b. x > 110

c. x > 120

d. x > 130

12) Evaluate:

|-5 – (-3)|

a. 3

b. 5

c. 1

d. 2

13) Find the distance between -1 and 1.

a. 1

b. 0

c.2

d. 3

14) Solve:

|x – 4| = 2

a. 6, -2

b. 6,  2

c. -6, 2

d. -6, -2

15) Solve. Write the solution in interval notation.

|x + 4|  6

a. ( -∞, -10) U (2, ∞)

b (-∞, -10) U [2, ∞)

c. ( -10, 2)

d. [ -10, 2]

16) Write as an absolute value inequality.

X is more than 7 units from 3

a. |x -  3| > 7

b. |x  - 3| ≥ 7

c. |x +  3| > 7

d. |x +  3| ≥ 7

17) Solve

|2x -  7| = 3

a. 5, 2

b. 5, -2

c. -5, 2

d. -5, -2

18) √(2x + 9)²  < -3

a. x <  -3

b. x < -6 or x > -3

c. 3 < x < 6

d. x< 3 or x > 6

19)|x + 3| = 2x + 1

a. 2

b. -4/3

c. 2, -4/3

d. 2, 4/3