HONORS ALG. 2 CH. 1 TEST REVIEW

Multiple Choice

Identify the choice that best completes the statement or answers the question.

To which sets of numbers does the number belong?

____1.

a. / irrational numbers, real numbers
b. / integers, rational numbers, real numbers
c. / rational numbers, irrational numbers
d. / whole numbers, integers, rational numbers, real numbers

____2.

a. / integers, rational numbers, real numbers
b. / rational numbers, real numbers
c. / irrational numbers, real numbers
d. / rational numbers, irrational numbers, real numbers

____3.An irrational number can ______be expressed as a quotient of integers.

a. / always / b. / sometimes / c. / never

Graph the number on a number line.

____4.

a. / / c. /
b. / / d. /

Insert <, >, or = to make the sentence true.

____5.

a. / = / b. / c.

____6.

a. / b. / c. / =

____7.

a. / b. / = / c.

____8.

a. / b. / c. / =

Find the opposite and the reciprocal of the number.

____9.

a. / , / c. / ,
b. / , / d. / ,

____10.–1.74

a. / , / c. / , –1.74
b. / 1.74, / d. / 1.74,

____11.

a. / , / b. / , / c. /  / d. / ,

Name the property of real numbers illustrated by the equation.

____12.

a. / Associative Property of Multiplication
b. / Distributive Property
c. / Commutative Property of Addition
d. / Associative Property of Addition

____13.

a. / Associative Property of Multiplication
b. / Commutative Property of Addition
c. / Commutative Property of Multiplication
d. / Closure Property

____14.–2.5  0 = –2.5

a. / Inverse Property of Multiplication
b. / Identity Property of Addition
c. / Inverse Property of Addition
d. / Identity Property of Multiplication

____15.Simplify .

a. / 14 / b. / 8 / c. / –8 / d. / –14

Evaluate the expression for the given value of the variable(s).

____16.; ,

a. / –55 / b. / 55 / c. / 5 / d. / –5

____17.

a. / / b. / / c. / / d. /

____18.; x = –3

a. / 3 / b. / –1 / c. / 11 / d. / –17

____19.; x = –3

a. / –76 / b. / 62 / c. / 32 / d. / 30

Simplify by combining like terms.

____20.

a. / / b. / / c. / / d. /

____21.

a. / / b. / / c. / / d. /

____22.Find the perimeter of the figure. Simplify the answer.

a. / 9x + 2y / b. / 10x + y / c. / 10x + 2y / d. / 9x + 3y

Solve the equation.

____23.

a. / / b. / / c. / / d. /

____24.

a. / / b. / / c. / / d. /

____25.

a. / –0.5 / b. / –2 / c. / 0.5 / d. / 2

____26.

a. / x = or x = / c. / x = or x =
b. / x = or x = / d. / x = or x =

____27.

a. / x = or x = / c. / x = or x =
b. / x = or x = / d. / x = or x =

Solve the equation or formula for the indicated variable.

____28., for t

a. / / b. / / c. / / d. /

____29.The formula for the time a traffic light remains yellow is , where t is the time in seconds and s is the speed limit in miles per hour.

a. / Solve the equation for s.
b. / What is the speed limit at a traffic light that remains yellow for 4.5 seconds?
a. / ; s = 28 mi/h / c. / ; s = 35
b. / ; s = 36 mi/h / d. / ; s = 28 mi/h

Solve for x. State any restrictions on the variables.

____30.

a. / ; / c. / ;
b. / ; / d. / ;

____31.A rectangle is 3 times as long as it is wide. The perimeter is 60 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary.

a. / 7.5 cm by 22.5 cm / c. / 20 cm by 60 cm
b. / 7.5 cm by 52.5 cm / d. / 15 cm by 22.5 cm

____32.The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 90 cm?

a. / 10.5 cm, 11.5 cm, and 12.5 cm / c. / 7.5 cm, 11.5 cm, and 32.1 cm
b. / 22.5 cm, 30 cm, and 37.5 cm / d. / 19.3 cm, 25.7 cm, and 32.1 cm

____33.Two cars leave Denver at the same time and travel in opposite directions. One car travels 10 mi/h faster than the other car. The cars are 500 mi apart in 5 h. How fast is each car traveling?

a. / 35 mi/h and 45 mi/h / c. / 45 mi/h and 55 mi/h
b. / 55 mi/h and 35 mi/h / d. / 55 mi/h and 65 mi/h

____34.An inequality ____ has a real number solution.

a. / always / b. / sometimes / c. / never

Solve the inequality. Graph the solution set.

____35.2 + 2k 8

a. / k 3
/ c. / k 3

b. / k
/ d. / k

____36.2r – 9  –6

a. / r
/ c. / r

b. / r
/ d. / r

____37.–4k + 5  21

a. / k –4
/ c. / k –4

b. / k
/ d. / k

____38.

2(4y – 5)  –10

a. / y 0
/ c. / y 0

b. / y
/ d. / y

____39.4(3b – 5) < –31 + 12b

a. / no solutions
/ c. / b

b. / b
/ d. / all real numbers

____40.26 + 6b 2(3b + 4)

a. / all real numbers
/ c. / b

b. / b
/ d. / no solutions

Solve the problem by writing an inequality.

____41.If the perimeter of a rectangular picture frame must be less than 200 in., and the width is 36in., what must the height h of the frame be?

a. / h < 64 in. / b. / h > 128 in. / c. / h > 64 in. / d. / h < 128 in.

Solve the compound inequality. Graph the solution set.

____42.5x + 10  10 and 7x – 7  14

a. / x  or x 
/ c. / x  or x  3

b. / x  0 and x 
/ d. / x  0 and x  3

____43.

a. / / c. /

b. /
/ d. /

____44.The perimeter of a square garden is to be at least 22 feet but not more than 36 feet. Find all possible values for the length of its sides.

a. / / c. /
b. / / d. /

____45.An absolute value equation ____ has an extraneous solution.

a. / always / b. / sometimes / c. / never

Solve the equation. Check for extraneous solutions.

____46.

a. / / c. /
b. / / d. /

Solve the inequality. Graph the solution.

____47.

a. /
/ c. /

b. /
/ d. /

____48.

a. / < x
/ c. / xor x

b. / < x
/ d. / xor x

Short Answer

49.In the following expression: the number of people p required to paint n square feet of wall in 24 hours, which set of numbers best describes the values for each variable?

50.Name the property used in each step of simplification.

Simplify the expression.

51.

Solve the equation. Check for extraneous solutions.

52.

53.An engineer predicts that a machine will manufacture good parts 80% of the time. Use a simulation of twelve trials and the random number chart below to find the probability that the machine will make good parts on all of the next four attempts.

9295 / 6742 / 7980 / 5522
3376 / 2187 / 6217 / 8811
1243 / 4500 / 4665 / 2860

HONORS ALG. 2 CH. 1 TEST REVIEW

Answer Section

MULTIPLE CHOICE

1.ANS:A

2.ANS:B

3.ANS:C

4.ANS:D

5.ANS:B

6.ANS:B

7.ANS:C

8.ANS:B

9.ANS:D

10.ANS:D

11.ANS:A

12.ANS:B

13.ANS:C

14.ANS:B

15.ANS:B

16.ANS:A

17.ANS:B

18.ANS:B

19.ANS:C

20.ANS:B

21.ANS:B

22.ANS:C

23.ANS:D

24.ANS:B

25.ANS:D

26.ANS:DKEY:absolute value

27.ANS:B

28.ANS:D

29.ANS:A

30.ANS:D

31.ANS:A

32.ANS:B

33.ANS:C

34.ANS:B

35.ANS:C

36.ANS:C

37.ANS:A

38.ANS:C

39.ANS:A

40.ANS:A

41.ANS:A

42.ANS:D

43.ANS:B

44.ANS:C

45.ANS:B

46.ANS:C

47.ANS:C

48.ANS:B

SHORT ANSWER

49.ANS:

The number of people p is a natural number, and the number of square feet n is a rational number.

50.ANS:

/ Distributive Property
Commutative Property of Addition
Associative Property of Addition
Distributive Property
Definition of Addition
Commutative Property of Multiplication
Commutative Property of Addition

51.ANS:

–13

52.ANS:

x = or

53.ANS:

Answers may vary. Sample: The digits 0 and 1 will represent failures. In the table, 5 of the 12 groups of four represent four good parts made in a row. The experimental probability of manufacturing four good parts in a row is , or 42%.