answers to the plato practice test

Test Information

Test Digest: 9c77c81a847de4fd0ed582d581c6d4e0

Test Type: Classroom

Test Name: Practice Jan 19

Description:

Created On: 2010-01-18

Total Questions: 49

Test Content Summary(Sorted by Frequency of Use)

Reporting Category Item Count

Computation and OperationsAlgorithms

Powers/Roots/ExponentsSimplify radical expressions involving addition, subtraction,

multiplication or division 4

Statistics and ProbabilityData/Statistics

Interpret DataExplore box-and-whisker plots 4

Communications

AlgebraEquations/Inequalities

Write equations to represent problem situations 4

Statistics and ProbabilityData/Statistics

4

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Interpret DataFind measures of central tendency

mean, median, and mode

Patterns, Relations, and AlgebraAlgebra

ExpressionsCombine like terms of higher degree algebraic expressions 2

Patterns, Relations, and Algebra

AlgebraCoordinate Graphs

Relate a function and its graph 2

Problem SolvingProblem Solving Context

Word ProblemsFind amount of simple interest 2

Computation and Operations

AlgorithmsPowers/Roots/Exponents

Estimate square roots to the nearest tenth/hundreth 2

CommunicationsAlgebra

Equations/InequalitiesWrite inequalities to represent problem situations 1

Problem Solving

Problem Solving StrategiesRepresenting Problem Situations

Write equations to represent problem situations 1


Word ProblemsFind percent of decrease 1

Number Sense

Mental MathMultiplication

Use the distributive property of multiplication 1


1

ExpressionsUse order of operations to simplify algebraic expressions

Number Sense

Number MeaningsPercent

Find percent one number is of another 1


Word ProblemsSolve distance/rate/time word problems 1


AlgebraCoordinate Graphs

Write an equation of a line when given the graph of the line 1


Integer Addition/SubtractionSubtract integers with like signs 1


AlgebraNumber Properties

Use the substitution property of equality 1


Integer Multiplication/DivisionDivide integers with like signs 1


AlgorithmsDecimal Multiplication

Find percent one number is of another 1


ExpressionsFactor perfect square trinomials 1


AlgebraFunctions

1

Identify relations that are functions


Equations/InequalitiesSubtract matrices 1


AlgorithmsDecimal Multiplication

Find number when percent is known 1


Coordinate GraphsWrite an equation for the line of best fit 1

Number Sense

Number MeaningsExponents

Evaluate numbers in scientific notation 1

Number SenseNumber Meanings

ExponentsEvaluate exponential expressions 1

Number Sense

Number MeaningsWhole Numbers

Find prime factors 1


Algebraic OperationsSquare binomials 1


AlgebraEquations/Inequalities

Solve systems of equations with two unknowns by substitution 1


Algebraic OperationsUse the laws of exponents to multiply 1

Statistics and Probability

Data/StatisticsInterpret Data

Find the range of a data set 1

Statistics and ProbabilityProbability

Possible PermutationsFind the number of possible permutations 1

Total: 49

Test Answer Key

Number Sense: Mental Math: Multiplication: Use the distributive property of multiplication

Question 1:

Look at the algebraic statement below.

4(4 - 4d) = 16 - 4d

When would this statement be true?

Choose One:

always

sometimes

never

impossible to know

Answer: [b] Click here to submit a question, comment, or concern regarding this item (944663008-

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12038).

Number Sense: Number Meanings: Percent: Find percent one number is of another

Question 2:

The owner of Brown's Hardware Store ordered 112 large flat screwdrivers. However, the shipment contained only 35 screwdrivers.

What percentage of the order was shipped?

Choose One:

30%

31.25%

33.3%

35%

Answer: [b] Click here to submit a question, comment, or concern regarding this item (1067023662-zzny67).

Number Sense: Number Meanings: Exponents: Evaluate exponential expressions

Question 3:

Simplify the expression below.

73 × 32 × 23

Choose One:

756

24,696

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27,783

74,088

Answer: [b] Click here to submit a question, comment, or concern regarding this item (1065216043-kxmz46).

Number Sense: Number Meanings: Exponents: Evaluate numbers in scientific notation

Question 4:

Evaluate the expression below.

(5.6 × 109)(8.64 × 104)

Choose One:

4.8384 × 1012

4.8384 × 1013

4.8384 × 1014

4.8384 × 1035

Answer: [c] Click here to submit a question, comment, or concern regarding this item (1066954754-btnh44).

Number Sense: Number Meanings: Whole Numbers: Find prime factors

Question 5:

What are the prime factors of 150?

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Choose One:

2, 3, 5

2, 5, 7

3, 5, 7

3, 5, 11

Answer: [a] Click here to submit a question, comment, or concern regarding this item (1065218237-beht44).

Patterns, Relations, and Algebra: Algebra: Expressions: Factor perfect square trinomials

Question 6:

Factor the expression below.

x2 - 4x + 4

Choose One:

4(x2 - x + 1)

(x - 2)(x + 2)

(x + 2)(x + 2)

(x - 2)(x - 2)

Answer: [d] Click here to submit a question, comment, or concern regarding this item (944598100-3978).

Patterns, Relations, and Algebra: Algebra: Coordinate Graphs: Relate a function and its graph


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Question 7:

Which graph shows the linear function with x-intercept = -1 and y-intercept = 2?

Graph A Graph B

Graph C Graph D

Choose One:

Graph A

Graph B

Graph C

Graph D

Answer: [d] Click here to submit a question, comment, or concern regarding this item (988136755-thii94).

Patterns, Relations, and Algebra: Algebra: Coordinate Graphs: Relate a function and its graph

Question 8:

Which graph shows the linear function with x-intercept = 2 and y-intercept = 1?

Graph A Graph B

Graph C Graph D

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Choose One:

Graph A

Graph B

Graph C

Graph D

Answer: [a] Click here to submit a question, comment, or concern regarding this item (988136755-pvuu89).

Patterns, Relations, and Algebra: Algebra: Expressions: Combine like terms of higher degree algebraic expressions

Question 9:


2(5xy3 + 7x2) + 2(3xy - 9x2)

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Choose One:

10xy3 - 4x2 + 6xy

10xy3 - 2x2 + 6xy

12x6y4

16xy3 - 4x2

Answer: [a] Click here to submit a question, comment, or concern regarding this item (1063646714-hjnw67).

Patterns, Relations, and Algebra: Algebra: Functions: Identify relations that are functions

Question 10:

Which of the following relations is also a function?

Choose One:

{(3, 4) (2, 3) (3, 6) (2, 0)}

{(2, -1) (3, 0) (4, 6) (1, -3)}

{(5, 0) (5, 1) (5, 2) (0, 4)}

{(4, 2) (4, -2) (9, 3) (9, -3)}

Answer: [b] Click here to submit a question, comment, or concern regarding this item (944598099-3867).

Patterns, Relations, and Algebra: Algebra: Algebraic Operations: Square binomials

Question 11:


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Find the product.

(2x + 4y)2

Choose One:

4x2 + 16y2

4x2 + 8xy + 16y2

4x2 + 16xy + 16y2

4x2 + 64xy + 16y2

Answer: [c] Click here to submit a question, comment, or concern regarding this item (1066595666-xmbp78).

Patterns, Relations, and Algebra: Algebra: Number Properties: Use the substitution property of equality

Question 12:

Use the Substitution Property of Equality to complete the statement:

If LK + JM = 12 and LK = 2, then ____.

Choose One:

LK + 2 = 12

LK + JM = 12 + 2

2 + JM = 12

LK + JM + 2 = 12

Answer: [c] Click here to submit a question, comment, or concern regarding this item (944598334-


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4874).

Patterns, Relations, and Algebra: Algebra: Equations/Inequalities: Solve systems of equations with two unknowns by substitution

Question 13:

Solve the system of linear equations below.

y = -2x + 19y = x + 7

Choose One:

x = 4, y = 11

x = -12, y = -5

x = -4, y = 3

x = 8, y = 3

Answer: [a] Click here to submit a question, comment, or concern regarding this item (957205723-54222).

Patterns, Relations, and Algebra: Algebra: Coordinate Graphs: Write an equation for the line of best fit

Question 14:

Look at this table.

x y

1 25

2 28

3 27

4 31


5 30

6 34

Which of the following equations represents the line of best fit for the data in the table above?

Choose One:

y = 3x + 22

y = 4x + 10

y = 9

5 x + 23.2

y = 5

9 x + 24.4

Answer: [c] Click here to submit a question, comment, or concern regarding this item (958098691-55205).

Patterns, Relations, and Algebra: Algebra: Equations/Inequalities: Subtract matrices

Question 15:

Look at the matrices below.

What is the value of B - A?

Choose One:



Patterns, Relations, and Algebra: Algebra: Coordinate Graphs: Write an equation of a line when given the graph of the line

Question 16:

Determine the equation of the given line.

Choose One:


y = 3x - 1

y = -3x - 1

y = x - 3

y = 3x - 2


Patterns, Relations, and Algebra: Algebra: Expressions: Use order of operations to simplify algebraic expressions

Question 17:

Simplify this expression.

10b + 9b - (b + 1)

Choose One:

18b - 1

17b

18b

18b + 1


Patterns, Relations, and Algebra: Algebra: Expressions: Combine like terms of higher degree algebraic expressions

Question 18:




4m3n2 - (3m2n3 + 15m) - 8m2n3

Choose One:

-22m8n8

-7m3n2 - 15m

4m3n2 - 11m2n3 - 15m

4m3n2 - 5m2n3 + 15m

Answer: [c] Click here to submit a question, comment, or concern regarding this item (1063409275-dkcw94).

Patterns, Relations, and Algebra: Algebra: Algebraic Operations: Use the laws of exponents to multiply

Question 19:

Look at the expression below.

(2x0)(3x3)What is the simplest form of the expression?

Choose One:

5x3

3x0

6x3

1

Answer: [c] Click here to submit a question, comment, or concern regarding this item (956848150-


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53994).

Problem Solving: Problem Solving Context: Word Problems: Find amount of simple interest

Question 20:

Robert deposited $2,300 in his bank at an interest rate of 3.25% per year.

How much simple interest will Robert earn after 4 years?

Choose One:

$74.75

$299.00

$313.89

$707.69

Answer: [b] Click here to submit a question, comment, or concern regarding this item (1067032315-hdky46).

Problem Solving: Problem Solving Context: Word Problems: Find percent of decrease

Question 21:

In 2002, the rainfall in Piedmont County was 5.76 inches. In 2003, the rainfall was 1.44 inches.

By what percentage did the rainfall decrease from 2002 to 2003?

Choose One:

7.5%

50%

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75%

133%

Answer: [c] Click here to submit a question, comment, or concern regarding this item (1065471503-wndd39).

Problem Solving: Problem Solving Strategies: Representing Problem Situations: Write equations to represent problem situations

Question 22:

Identify the equation that represents the following situation:

Six times the sum of a number and 4 equals one less than the number.

Choose One:

6n + 4 = n - 1

n + 24 = 1 - n

6(n + 4) = 1 - n

6(n + 4) = n - 1


Problem Solving: Problem Solving Context: Word Problems: Solve distance/rate/time word problems

Question 23:

Sam drove 5 miles at an average speed of 45 miles per hour.

How long did it take Sam to drive 5 miles?


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Choose One:

5 minutes

6 minutes 40 seconds

7 minutes 30 seconds

9 minutes

Answer: [b] Click here to submit a question, comment, or concern regarding this item (1067034145-dtch73).

Problem Solving: Problem Solving Context: Word Problems: Find amount of simple interest

Question 24:

Darren deposited $1,100 at a rate of 1.5% per year.

How much simple interest will Darren earn after 3 years?

Choose One:

$16.50

$45.00

$49.50

$733.33

Answer: [c] Click here to submit a question, comment, or concern regarding this item (1067032742-mhhp47).

Computation and Operations: Algorithms: Decimal Multiplication: Find number when percent is known

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Question 25:

Thirty percent of what number is 72?

Choose One:

21.6

102.8

240

2,400

Answer: [c] Click here to submit a question, comment, or concern regarding this item (1066956949-djzp38).

Computation and Operations: Algorithms: Decimal Multiplication: Find percent one number is of another

Question 26:

What percentage of 330 is 297?

Choose One:

10%

80%

90%

111%

Answer: [c] Click here to submit a question, comment, or concern regarding this item (1067023830-xykk98).

Computation and Operations: Algorithms: Powers/Roots/Exponents: Estimate square

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roots to the nearest tenth/hundreth

Question 27:

What is the value of to the nearest tenth?

Choose One:

4.4

6.3

6.6

6.7

Answer: [c] Click here to submit a question, comment, or concern regarding this item (1048557502-ckfw78).

Computation and Operations: Algorithms: Powers/Roots/Exponents: Simplify radical expressions involving addition, subtraction, multiplication or division

Question 28:

Simplify the expression completely.

Choose One:

cannot be simplified

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Computation and Operations: Algorithms: Powers/Roots/Exponents: Estimate square roots to the nearest tenth/hundreth

Question 29:

What is the rounded to the nearest tenth?

Choose One:

6.2

6.3

6.4

6.5



Question 30:




Choose One:

16

4



Computation and Operations: Algorithms: Integer Multiplication/Division: Divide integers with like signs

Question 31:

What is -9 ÷ (-3)?

Choose One:

-3

-1

3

1

3

3

Answer: [d] Click here to submit a question, comment, or concern regarding this item (1068244374-ftdz73).


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Question 32:


Choose One:




Question 33:


Choose One:



2

3


Computation and Operations: Algorithms: Integer Addition/Subtraction: Subtract integers with like signs

Question 34:

What is 5 - 14?

Choose One:

-19

-9

9

19

Answer: [b] Click here to submit a question, comment, or concern regarding this item (1068240528-wdzh89).

Statistics and Probability: Data/Statistics: Interpret Data: Find the range of a data set

Question 35:

Jo Ellen fishes every day during the summer. This table shows the weight of the largest fish she caught each day of the previous week.

Day Weight

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Monday 18

Tuesday 12

Wednesday 23

Thursday 11

Friday 5

Saturday 17

Sunday 20

What is the range of this data?

Choose One:

17

15.14

18

23

Answer: [c] Click here to submit a question, comment, or concern regarding this item (va-ad-8-math-p2-n1-19).

Statistics and Probability: Probability: Possible Permutations: Find the number of possible permutations

Question 36:

How many different ways can 4 people be seated in a row?

Choose One:

10

16

24

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64

Answer: [c] Click here to submit a question, comment, or concern regarding this item (1067033267-hwcy77).

Statistics and Probability: Data/Statistics: Interpret Data: Find measures of central tendency: mean, median, and mode

Question 37:

This table shows the number of people who visited Bull Run Park last week.

Day Number of People

Monday 367

Tuesday 273

Wednesday 369

Thursday 214

Friday 319

Saturday 326

Sunday 284

What is the median of this data?

Choose One:

284

319

326

367

Answer: [b] Click here to submit a question, comment, or concern regarding this item (977339817-


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73398).


Question 38:

This table shows population data for ten South American countries, according to a 1990 census.

CountryPopulation(millions)

Argentina 32

Bolivia 7

Brazil 150

Chile 13

Columbia 33

Ecuador 10

Paraguay 5

Peru 22

Uruguay 3

Venezuela 19


Choose One:

16 million

19 million

22 million

29 million

Answer: [a] Click here to submit a question, comment, or concern regarding this item (947042340-


37152).

Statistics and Probability: Data/Statistics: Interpret Data: Explore box-and-whisker plots

Question 39:

The results of a math and history test are plotted below.

What were the lowest scores on each of the tests?

Choose One:

45 and 50

40 and 55

45 and 55

65 and 73



Question 40:

The stem-and-leaf plot below shows the results of an English test taken by students in Mr. Twig's class.


What was the mean score?

Choose One:

92

86

83

84



Question 41:

This graph shows the intensities of hurricanes that formed over the Atlantic Ocean in 2000.



Choose One:

1.0

1.2

2.6

4.0

Answer: [b] Click here to submit a question, comment, or concern regarding this item (985983858-tdei93).


Question 42:

This data represents Joanne's test scores in her biology class.

85, 76, 89, 94, 83, 70, 81, 86

What is the mean of this data set?

Choose One:

80

81

82

83

Answer: [d] Click here to submit a question, comment, or concern regarding this item (991847408-wmii57).


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Question 43:

This graph shows the size of the fish, in inches, that Carlin caught on a fishing trip with her uncle.


Choose One:

32 inches

38 inches

44 inches

52 inches

Answer: [b] Click here to submit a question, comment, or concern regarding this item (985983858-xreu75).


Question 44:

Below is a table listing the census results from 1910 - 1990 on the median age of first marriages for women.

Year 1910 1920 1930 1940 1950 1960 1970 1980 1990

Age 21.6 21.2 21.3 21.5 20.3 20.4 20.8 22 23.9

Which box-and-whisker plot represents this data?

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Choose One:


Communications: Algebra: Equations/Inequalities: Write equations to represent problem situations

Question 45:

Ms. Ling's history exam contained 20 questions worth a total of 100 points. There were short answer questions worth 3 points each and a few short essay questions worth 11 points each.

Which system of equations correctly represents this situation?

Choose One:

x + y = 203x + 11y = 100

x + y = 1003x + 11y = 20

x + 20 = 100y + 3 = 11


x + y = 1120x + 100y = 3



Question 46:

Identify the equation that represents this situation.

Eleven more than twice a number is one less than four times the number.

Choose One:

11 + 2n = 1 - 4n

2n - 11 = 1 - 4n

2n + 11 = 4n - 1

11 + 4n = 2n - 1



Question 47:

Write an inequality to represent the following situation:

Eight more than a number is at most the product of five and that number.



Choose One:

n + 8 > 5n

8 + n > 5 + n

8 + n < 5/n

n + 8 < 5n



Question 48:

One number is 251 more than another number. The smaller number is 169. Let n represent the larger number.

Which of these equations shows this situation algebraically?

Choose One:

169 = 251 + n

251 = 169 - n

n = 169 + 251

n = 251 - 169


Communications: Algebra: Equations/Inequalities: Write inequalities to represent problem situations



Question 49:

After addressing 50 envelopes for a charity fund-raiser, a volunteer had fewer than 28 envelopes remaining to address.

Which inequality correctly represents this situation, if x is the total number of envelopes the volunteer needs to address?

Choose One:

50 - x > 28

28 < x - 50

x + 50 > 28

28 > x - 50


End of Test

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