MARINE ACADEMY OF TECHNOLOGY AND ENVIRONMENTAL SCIENCE

Grade 10 Algebra II Summer 2011 Assignment

This summer assignment is designed to maintain your mathematical skills and to demonstrate mastery of prerequisite topics to the course that you are entering. Understand that this assignment is intended to evaluate your individual skills. If you are having difficulty with the assignment, feel free to speak with peers or to consult web or written resources. Please read and follow all directions carefully. It is not necessary to print the assignment, however, your work and your answers must be written neatly, organized by question number.

Note that although you have the entire summer to complete the assignment, you may not be able to complete it in one sitting. Start early enough to allow yourself time to seek help. It is important that you are proficient in these skills when you enter school in September. This assignment,including your work,will be collected on the first day of schoolat which timeyou will transfer your answers to a Scantron sheet for grading. Late assignments will not be accepted. This is your first opportunity to demonstrate your work ethic to the instructor. Good luck!

Sincerely,

MATES Math Department

Name ______

Algebra 2 Summer Assignment - 2011

Multiple Choice

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

____1.When simplifying an expression, you ____ perform operations inside grouping symbols first.

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

____2.A rational number is ____ a real number.

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

Simplify the expression.

____3.

a. / 297 / b. / 868 / c. / 437 / d. / 867

____4.

a. / 13 / b. / –13 / c. / 12 / d. / –12

____5.

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

____6.3.7 – 1.8 – 3.67 + 4.4 – 1.34

a. / –7.51 / b. / –1.29 / c. / 1.29 / d. / 8.63

____7.Evaluate the formula for B = 9 in.2 and h = 32 in.

a. / 288 in.3 / b. / 9.6 in.3 / c. / 32 in.3 / d. / 96 in.3

____8.Name the set(s) of numbers to which 1.68 belongs.

a. / rational numbers
b. / natural numbers, whole numbers, integers, rational numbers
c. / rational numbers, irrational numbers
d. / none of the above

____9.Which set of numbers is the most reasonable to describe the number of desks in a classroom?

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

____10.The opposite of a negative number is ____ negative.

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

____11.Which number line model can you use to simplify –5 + 6?

a. /
–5 + 6 = 11
b. /
–5 + 6 = 1
c. /
–5 + 6 = –11
d. /
–5 + 6 = 11

____12.The product of two negative numbers is ____ positive.

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

____13.–12  (–2)

a. / 24 / b. / –6 / c. / –24 / d. / 6

____14.If a is a negative number, then is ____ equal to –1.

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

____15.Evaluate for a = and b = .

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

____16.Use the Distributive Property to find the price of 7 CDs that cost $14.99 each.

a. / $105.00 / b. / $98.00 / c. / $104.93 / d. / $105.70

____17.For every real number x, y, and z, the statement is ____ true.

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

Name the property the equation illustrates.

____18.8.2 + (–8.2) = 0

a. / Inverse Property of Addition
b. / Addition Property of 0
c. / Identity Property of Addition
d. / Inverse Property of Multiplication

____19.8 + 3.4 = 3.4 + 8

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

____20.7 + (4 + 4) = (7 + 4) + 4

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

____21.(ab)3 = a(b3)

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

____22.Which of the scatter plots shows a positive correlation?

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

Solve the equation.

____23.

a. / –80 / b. / 16 / c. / –16 / d. / 1.8

____24.Which equation is an identity?

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

____25.Peter is reading a 193-page book. He has read three pages more than one fourth of the number of pages he hasn’t yet read.

a. How many pages has he not yet read?

b. Estimate how many days it will take Peter to finish the book if he reads about 8 pages per day.

a. / 144; about 18 days / c. / 152; about 19 days
b. / 147; about 18 days / d. / 141; about 18 days

____26.Carlos and Maria drove a total of 258 miles in 5 hours. Carlos drove the first part of the trip and averaged 53 miles per hour. Maria drove the remainder of the trip and averaged 51 miles per hour. For approximately how many hours did Maria drive? Round your answer to the nearest tenth if necessary.

a. / 3.5 hours / b. / 2.5 hours / c. / 1.8 hours / d. / 1.5 hours

Find the range.

____27.3 –9 7 –1 5 –4 2

a. / 8 / b. / –1 / c. / 16 / d. / 2

____28.Determine whether the statement is sometimes, always or never true.

If ax + b – 4 = b and then .

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

____29.The perimeter of the rectangle is 24 cm. Find the value of x.

a. / 3 / b. / 12 / c. / / d. / 18

Which number is a solution of the inequality?

____30.b > 11.3

a. / 15 / b. / 9 / c. / –14 / d. / 4

____31.m

a. / 3 / b. / 5 / c. / 2 / d. / –9

____32.x(7 – x) > 8

a. / 2 / b. / 8 / c. / –1 / d. / 0

____33.

a. / 8 / b. / 18 / c. / 2 / d. / 1

____34.

a. / / b. / 5 / c. / / d. /

Write the inequality in words.

____35.5n – 10 26

a. / Five times n less than ten is twenty-six.
b. / Ten plus five times a number is less than or equal to twenty-six.
c. / Ten less than five times a number is greater than twenty-six.
d. / Ten less than a number is less than or equal to twenty-six.

Graph the inequality.

____36.

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

Write an inequality for the graph.

____37.

a. / / b. / x < –8 / c. / x > –8 / d. / x < 8

Identify the graph of the inequality from the given description.

____38.x is negative.

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

____39. x is at least –4.5.

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

Solve the inequality. Then graph your solution.

____40.

a. / / c. /

b. /
/ d. /

____41.–2 < 4x – 10 < 6

a. / 4 < x < 12
/ c. / –16 < x < –8

b. / x
/ d. / 2 < x < 4

____42.

a. / –36 < x < 14
/ c. / –17 > x > 8

b. / –17 < x < 8
/ d. / –8 < x < 8

Solve the inequality.

____43. + x +

a. / x / b. / x / c. / x / d. / x

Write a compound inequality that the graph could represent.

____44.

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

____45.

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

Solve the compound inequality. Graph your solution.

____46.

a. / or
/ c. / or

b. / or
/ d. / or

Solve the equation. If there is no solution, write no solution.

____47.

a. / x = 13 / c. / x = –1
b. / x = 13 or x = –13 / d. / no solution

____48.The ideal width of a safety belt strap for a certain automobile is 5 cm. An actual width can vary by at most 0.35 cm. Write an absolute value inequality for the range of acceptable widths.

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

Solve the proportion.

____49.

a. / 55 / b. / 2.2 / c. / 110 / d. / 1.8

____50.

a. / 32 / b. / 40 / c. / 64 / d. / 72

____51.A package delivery company has determined that they can meet their schedules if they have 4 drivers for every 30 square miles of area they cover. If they want to offer service to a county of 75 square miles, how many drivers must they have?

a. / 12 drivers / b. / 10 drivers / c. / 15 drivers / d. / 9 drivers

____52.The cross products of a proportion are ____ equal.

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

____53.In similar triangles, corresponding angles are ____ congruent.

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

____54.Use the scale and map measurements to find the actual distance from New Wilmington to Sharon through Mercer. What is the actual distance if you travel from New Wilmington to Sharon through Volant?

a. / 27 mi; 42 mi / c. / 13.5 mi; 21 mi
b. / 40.5 mi; 63 mi / d. / 54 mi; 84 mi

____55.What is 6% of 117?

a. / 5.97 / b. / 8.07 / c. / 7.02 / d. / 7.37

____56.Susan earns a 5% commission on her computer sales. If she earned a $81.04 commission on a sale of a new system, what was the price of the system?

a. / $1134.56 / b. / $810.40 / c. / $162.08 / d. / $1620.80

Write an equation and solve. Round the final answer to the nearest tenth, if necessary.

____57.68 is 78% of what number?

a. / ; 53 / c. / ; 59.3
b. / ; 87.2 / d. / ; 90.7

____58.If a > 0, then 125% of a is ____ less than or equal to a.

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

____59.Use the formula for simple interest, I = prt. Find p if I = $313.42, r = 2.5%, and t = 3 yr.

a. / $3,426.73 / b. / $4,429.67 / c. / $3,761.04 / d. / $4,178.93

____60.The percent of change in two numbers is ____ greater than 100%.

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

____61.Teesha is in the French club. There are 26 students in the club. The French teacher will pick 3 students at random to guide visiting students from France. What is the probability that Teesha will not be picked as a guide?

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

____62.Which graph is the most appropriate to describe a quantity decreasing at a steady rate?

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

____63.The graph below shows how the cost of gasoline changes over one month. According to the graph, the cost of gasoline ______decreases.

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

____64.Identify the mapping diagram that represents the relation and determine whether the relation is a function.

a. /
The relation is not a function. / c. /
The relation is a function.
b. /
The relation is a function. / d. /
The relation is not a function.

____65.Identify the mapping diagram that represents the relation and determine whether the relation is a function.

a. /
The relation is a function. / c. /
The relation is not a function
b. /
The relation is a function. / d. /
The relation is not a function.

Find the common difference of the arithmetic sequence.

____66.9, 13, 17, 21, . . .

a. / 4 / b. / / c. / / d. / 22

Find the slope of the line.

____67.

a. / – / b. / / c. / / d. /

Find the slope and y-intercept of the line.

____68.14x + 4y = 24

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

Write the slope-intercept form of the equation for the line.

____69.

a. / y = x 1 / c. / y = x 1
b. / y = x 1 / d. / y = x 1

Match the equation with its graph.

____70.–7x + 7y = –49

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

____71.A line passes through (1, –5) and (–3, 7).

a. Write an equation for the line in point-slope form.

b. Rewrite the equation in slope-intercept form.

a. / y – 5 = 3(x + 1); y = 3x + 8 / c. /
b. / ; / d. / y + 5 = –3(x – 1); y = –3x – 2

Is the relationship shown by the data linear? If so, model the data with an equation.

____72.

x / y
–9 / –2
–5 / –7
–1 / –12
3 / –17
a. / The relationship is linear; y + 2 = (x + 9).
b. / The relationship is linear; y + 9 = (x + 2).
c. / The relationship is not linear.
d. / The relationship is linear; y + 2 = (x + 9).

Write the equation of a line that is perpendicular to the given line and that passes through the given point.

____73.4x – 12y = 2; (10, –1)

a. / y = x + 29 / c. / y = x + 29
b. / y = x + 29 / d. / y = x + 7

____74.Which graph shows the best trend line for the following data.

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

Graph each equation by translating y = | x |.

____75.y = | x + 6 |

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

____76.

Bella wants to write two equations to model the streets on this map. She can use y=x–4 to describe Platte Way. Find one absolute value equation to describe Marteen Rd and Smith St.

a. / y = | x – 2 | – 3 / c. / y = | x + 3 | – 2
b. / y = | x + 2 | – 3 / d. / y = | x – 3 | – 2

____77.Which graph represents the following system of equations?

y = 3x + 3

y = –x – 3

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

____78.What is the solution of the system of equations?

y = 3x + 7

y = x – 9

a. / (–1, –10) / b. / (–17, –8) / c. / (4, 19) / d. / (–8, –17)

Solve the system using elimination.

____79.3x + y = 11

4x – y = 17

a. / (–1, 4) / b. / (4, –1) / c. / (5, –4) / d. / (1, 4)

____80.3x – 4y = –24

x + y = –1

a. / (–4, 3) / b. / (0, 6) / c. / (3, 4) / d. / (4, 3)

____81.3x – y = 28

3x + y = 14

a. / (8, –4) / b. / (–7, 7) / c. / (7, –7) / d. / (–4, 8)

____82.Write the following inequality in slope-intercept form.

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

Find the degree of the monomial.

____83.7m6n5

a. / 5 / b. / 11 / c. / 6 / d. / 7

____84.6x8y5

a. / 5 / b. / 6 / c. / 13 / d. / 8

Simplify the difference.

____85.(4w2 – 4w – 8) – (2w2 + 3w – 6)

a. / 2w2 – 7w – 2 / c. / 2w2 – 1w – 14
b. / 6w2 – 1w – 14 / d. / 6w2 + 7w + 2

Simplify the product.

____86.8x2(4x2 + 4y6)

a. / 12x4 + 12x2y6 / c. / 12x4 + 12x2y6
b. / 32x4 + 32x2y6 / d. / 32x4 + 32xy8

Factor the polynomial.

____87.54c3d4 + 9c4d2

a. / 9c3d2(d2 + 6c) / c. / 9c4d2(d2 + 6)
b. / 9c3d2(6d2 + c) / d. / 9c4d2(6d2 + 1)

____88.Find the GCF of the terms of the polynomial.

8x6 + 32x3

a. / x3 / b. / 8x3 / c. / 8x3 / d. / 8x6

Find the square.

____89.(2x – 6)2

a. / 4x2 – 24x + 36 / c. / 4x2 + 36
b. / 4x2 – 8x + 36 / d. / 4x2 – 12x + 36

____90.Find 332 using mental math.

a. / 1,089 / b. / 900 / c. / 999 / d. / 729

Find the product.

____91.(2n + 2)(2n – 2)

a. / 4n2 – 4 / c. / 4n2 + 2n – 4
b. / 4n2 – 4n – 4 / d. / 4n2 + 4n – 4

Factor the expression.

____92.36y2 – 84y – 147

a. / (2y + 7)(6y – 7) / c. / (2y – 7)(18y + 21)
b. / 3(2y – 7)(6y + 7) / d. / 3(2y + 7)(6y + 7)

____93.

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

Factor by grouping.

____94.3x2 + 7x – 6

a. / (3x – 2)(x – 3) / c. / (x + 3)(3x + 2)
b. / (3x – 2)(x + 3) / d. / (3x + 2)(x – 3)

____95.40p2 – 13p – 36

a. / (8p + 9)(5p + 4) / c. / (8p – 9)(5p + 4)
b. / (8p – 9)(5p – 4) / d. / (8p + 9)(5p – 4)