Exam 2 (lessons 6-10)

Name: ____________________________

Beginning Algebra Workshop

Score: _____ of 50 points

 

(2 points each) Give the correct answer:

1) What is 4% of 30?

(.04)(30) = 1.2

2) Simplify: 52

5× 5 = 25

3) Simplify: x4(x5)

x4+5 = x9

4) Evaluate 2b2 when b = -3.

2(-3)2 = 2(9) = 18

5) What is the measure of the angle A?

A + 35° = 90°

A = 90 - 35 = 55°

6) Convert 0.125 to a percent.

12.5%

7) Simplify w5/w2

w5-2 = w3

8) Simplify -24 = -2× 2× 2× 2 = -16

9) Simplify 5 - 32 = 5 - 9 = -4

10) Simplify (-1)14 = +1 (There is an even number of - signs) 

 

( 5 points each) Show all work necessary for the rest of the exam. Partial credit will be given for correct work only as shown on the exam paper.

11) Solve the inequality: 8y - 5 > 3y + 10

 

 

 8y - 3y > 10 + 5

5y > 15

y > 3

12) Solve the inequality: 2x - 3(2x + 4) £ 5(x - 1) + 3

 

 2x - 6x - 12 £ 5x - 5 + 3

-4x - 12 £ 5x - 2

-9x £ 10

x ³ -10/9

13) A retailer buys a CD player at a cost of $60 and resells it at a markup of 80%. What is his asking price?

 

 S = P + RP

S = 60 + (.80)(60)

S = 60 + 48 = $108

14) Find the measure of the angle x in the diagram.

y = 180° - 42° = 138°

z = 180° - 155° = 25°

x + y + z = 180° , so x = 17°

 

15) The perimeter of a rectangle is 34 meters and the length of one side is 12 meters.

a) What is the width of the rectangle?

P = 2l + 2w

34 = 2(12) + 2w

34 = 24 + 2w

10 = 2w

w = 5 meters

b) What is the area of the rectangle?

A = lw

A = (12 m) (5 m) = 60 m2

16) Simplify: 2 - 3(23 - 5)2 - 42 ¸ 2 + 1

= 2 - 3(8 - 5)2 - 42 ¸ 2 + 1

= 2 - 3(3)2 - 42 ¸ 2 + 1

= 2 - 3(9) - 16 ¸ 2 + 1

= 2 - 27 - 8 + 1

= -32

 

Return to the Table of Contents.

Proceed with Lesson 11.