alg1 2nd quarter test c = number of days and c =...

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Alg1 2nd Quarter Test Name:_______________________ Date:_______________________ ______________________________________________________________________________ 1 Choose the expression that matches the phrase. 4 minus a number A 4 – n B 4n C D 2 What equation models the data in the table if d = number of days and c = cost? Days Cost 2 44 3 66 5 110 6 132 A d = 22c B c = 22d C c = d + 22d D c = d + 22 3 The temperature on a summer afternoon is 85 F. Choose the expression that represents the temperature after it changes, and evaluate that expression for a decrease of 11 degrees Fahrenheit. A 11 + c; 11 + (–85) = 96 F B 85 + c; 85 + (–11) = 74 F C 11 – c; 11 – (–85) = 74 F D 85 – c; 85 – (–11) = 96 F ______________________________________________________________________________________________ Copyright © Pearson Education, Inc. or its affiliates. All Rights Reserved. Page 1 of 23

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Alg1 2nd Quarter Test Name:_______________________

Date:_______________________

______________________________________________________________________________

1 Choose the expression that matches the phrase.4 minus a number

A 4 – nB 4n

C

D

2 What equation models the data in the table if d = number of days and c = cost?

Days Cost

2 44

3 66

5 110

6 132

A d = 22c

B c = 22d

C c = d + 22d

D c = d + 22

3 The temperature on a summer afternoon is 85 F. Choose the expression that representsthe temperature after it changes, and evaluate that expression for a decrease of 11degrees Fahrenheit.

A 11 + c; 11 + (–85) = 96 FB 85 + c; 85 + (–11) = 74 FC 11 – c; 11 – (–85) = 74 FD 85 – c; 85 – (–11) = 96 F

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Alg1 2nd Quarter Test ______________________________________________________________________________

4 A pair of shoes costs $52.99 and the state sales tax is 8%. Use the formula C = p + rp tofind the total cost of the shoes, where C is the total cost, p is the price, and r is the salestax rate.

A $95.38B $60.99C $57.23D $78.19

5 Is the expression rational or irrational?

A rationalB irrational

6 Choose the set(s) of numbers to which –5 belongs.

A whole numbers, natural numbers, integersB rational numbersC whole numbers, integers, rational numbersD integers, rational numbers

7 Which property does the equation illustrate?(ab)3 = a(b3)

A Inverse Property of MultiplicationB Associative Property of AdditionC Associative Property of MultiplicationD Commutative Property of Multiplication

8 Which property does the equation illustrate?8.2 + (–8.2) = 0

A Inverse Property of AdditionB Addition Property of 0C Identity Property of AdditionD Inverse Property of Multiplication

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Alg1 2nd Quarter Test ______________________________________________________________________________

9 Simplify.6,884 – 3,743

A 3,122B 3,144C 3,141D 3,112

10 Simplify.78 + 78

A 146B 148C 160D 156

11 Simplify.

A –78B 38C –38D 78

12 Simplify.

A –3

B

C 3

D

13 Simplify the expression.7d + 12 – 4d – 3

A 19d – 7B 3d + 9C 3d2 + 9D 12d

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Alg1 2nd Quarter Test ______________________________________________________________________________

14 Which expression uses the Distributive Property to find 6 · 4.97?

A 6(5) 0.30B 6(5 0.30)C 6(5 0.03)D 6(5) 0.03

15 Scientists estimate the rate of a wildebeest running at full speed to be 66 feet per second.Write an equation that describes the relationship between the time t and the distance d awildebeest travels when running at full speed.

AB

C

D

16 You buy a shirt that costs $9.95. With tax, you pay $10.65. Write and solve an equation tofind the amount of tax x you paid.

A 9.95 – x = 10.65; $0.70B 9.95 + 10.65 = x; $20.60C 9.95 + x = 10.65; $0.70D 10.65 + x = 9.96; $0.70

17 A farm produces an average of 17.1 liters of milk per day. About how many days will it taketo produce 200 liters of milk?

A about 12 daysB about 11 daysC about 10 daysD about 13 days

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Alg1 2nd Quarter Test ______________________________________________________________________________

18 Which properties of equality justify steps c and f?

A Subtraction Property of Equality; Multiplication Property of EqualityB Addition Property of Equality; Division Property of EqualityC Addition Property of Equality; Subtraction Property of EqualityD Multiplication Property of Equality; Division Property of Equality

19 Raymond buys bottles of water at $2.20 each and a large pizza at $11.99. The total costwas $16.39. How many bottles of water b did he buy?

ABCD

20 When is x – 3y = 3x – 3y?

A When x = y.B When x y.C When 3x = y.D When x = 0.

21 You bake cookies for a school fundraiser. In the morning, you sell 6 cookies. During lunch,you sell one-half of the cookies you have left. In the afternoon, you sell 19 cookies. If youare left with 6 cookies at the end of the day, how many cookies did you bring to thefundraiser?

A 68 cookiesB 62 cookiesC 56 cookiesD 50 cookies

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Alg1 2nd Quarter Test ______________________________________________________________________________

22 Solve the equation.8a – 4a – 6a – 8 = 2a

A

B

CD –4

23 a. Find the value of a.b. Find the value of the marked angles.

A 22; 100ºB 19; 88ºC 24; 108ºD 20; 92º

24The formula for the area of a triangle is , where b is the base of the triangle and his the height of the triangle. What is the length of the base of a triangle with an area of 30

and a height of 12 ft?

A 3 ftB 2.5 ftC 5 ftD 10 ft

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Alg1 2nd Quarter Test ______________________________________________________________________________

25 A cyclist travels at a speed of 12 miles per hour for 2.5 hours. Find the distance the cyclisttravels.

A 5.5 milesB 25.5 milesC 30 milesD 4.8 miles

26 Two cars started from the same point. One traveled north at 45 mi/h and the other traveledsouth at 65 mi/h. How far apart were the cars after 3 hours?

A 110 miB 390 miC 330 miD 270 mi

27 A van travels 220 miles on 10 gallons of gas. Find how many gallons the van needs totravel 550 miles.

A 31 gallons of gasB 121 gallons of gasC 115 gallons of gasD 25 gallons of gas

28 Solve the proportion.

A

B

C

D

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Alg1 2nd Quarter Test ______________________________________________________________________________

29 Choose the equation that models the sentence and solve. Round to the nearest tenthwhere necessary.

21 is 35% of what number?

A ; 62.4B ; 7.4C ; 40.8D ; 60

30 Choose the equation that models the sentence and solve. Round to the nearest tenthwhere necessary.

19 is what percent of 40?

A ; 47.5%B ; 2.1%C ; 40.4%D ; 52.3%

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

A alwaysB sometimesC never

32 Find the minimum and maximum possible areas of a rectangle measuring 2 km by 5 km.

A minimum area: 13.75 km2

maximum area 6.75 km2

B minimum area: 6.75 km2

maximum area 13.75 km2

C minimum area: 10 km2

maximum area 13.75 km2

D minimum area: 6.75 km2

maximum area 10 km2

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Alg1 2nd Quarter Test ______________________________________________________________________________

33 Identify the graph of the inequality from the given description.x is at least –4.5.

A

B

C

D

34 Choose the inequality that models the situation.A number exceeds 21.

ABC n > 21D n < 21

35 Solve the inequality.

A

B

C

D

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Alg1 2nd Quarter Test ______________________________________________________________________________

36 Your class hopes to collect at least 325 cans of food for the annual food drive. There were132 cans donated the first week and 146 more the second week.

a. Choose the inequality that describes this situation. Let c represent the number ofcans of food that must be collected by the end of the third week for your class to meetor surpass your goal.

b.

How many cans are needed to meet or surpass your goal?

A ; B ; C ; D ;

37 Choose the correct solution and graph of the inequality.

A x >

Bx >

Cx > 32

Dx > –4

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Alg1 2nd Quarter Test ______________________________________________________________________________

38

Jeanette wants to tile the floor of a room in her house. The square tiles measure ft oneach side. The room is 10 ft wide.a. Choose the inequality that describes how many tiles are needed to make one row oftiles across the width of the room.b. Solve the inequality.c. How many tiles should Jeanette buy to form one row?

A; ;

B; ;

C; ;

D; ;

39 Choose the inequality that represents the situation.all real numbers y that are less than 4 or greater than 9

A 4 < y < 9B y < 4 or y 9C y < 4 or y > 9D y < 9 or y > 4

40 Which compound inequality could the graph represent?

ABCD

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Alg1 2nd Quarter Test ______________________________________________________________________________

41 The French club is holding a car wash fundraiser for 6 hours on Saturday. They plan tocharge $10 per car and can wash at most 8 cars per hour. Identify the independent anddependent quantities in the situation, and find reasonable domain and range values.

A number of cars; money raised; 0 to 48 cars; $0 to $480B money raised; number of cars; $0 to $480; 0 to 48 carsC number of cars; money raised; $0 to $480; 0 to 48 carsD money raised; number of cars; 0 to 48 cars; $0 to $480

42 The cost of playing pool increases with the amount of time using the pool table. Identify theindependent and dependent quantities in the situation.

A time using table; costB cost; time using tableC number of games; costD cost; number of players

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Alg1 2nd Quarter Test ______________________________________________________________________________

43 Choose the correct graph of the function.

A

B

C

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Alg1 2nd Quarter Test ______________________________________________________________________________

D

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44 Choose the correct graph of the function.

A

B

C

D

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45 Choose the correct function rule for values in the table.

x f(x)

2 –8

3 –12

4 –16

5 –20

ABCD

46 Evaluate for x = 3.

A –11B 1C –6D 11

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47 Graph y = | x | – 5.

A

B

C

D

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48 Choose the correct graph of the function.

A

B

C

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Alg1 2nd Quarter Test ______________________________________________________________________________

D

49 Use the table to answer the following question.

x 0 1 2 3

y 8 1 –6 –13

Is the relationship a linear function? How do you know?

A No; the change in x and the change in y is not constant.B Yes; the change in x is constant and the change in y is not constant.C Yes; the change in x is constant and the change in y is constant.D No; the change in x is not constant and the change in y is constant.

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Alg1 2nd Quarter Test ______________________________________________________________________________

50 The surface area of a cube is a function of the side length of the cube as shown in thetable. Is the function linear or nonlinear?

Surface Area of a Cube

Side length(in.), x

Surface Area(in.2), y

1 6

2 24

3 54

4 96

A nonlinearB linear

51 A plumber charges a service fee of $40 plus $25 per hour for labor. Write a function rulefor the total cost of hiring the plumber for a job that takes x hours. How much would it costto hire the plumber for a job that takes 4 hours?

A ; $140B ; $60C ; $185D ; $135

52 Is 112 prime or composite?

A compositeB prime

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Alg1 2nd Quarter Test ______________________________________________________________________________

53 Choose the simplest form of the fraction.

A

B

C

D

54Identify the fraction that is equivalent to .

A

B

C

D

55 Convert the decimal to a fraction in simplest form.

A

B

C

D 3

56 Choose the decimal equivalent of the fraction.

A 0.5B 0.2C 5D 2

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Alg1 2nd Quarter Test ______________________________________________________________________________

57 Find the sum.

A

B

C

D

58 Simplify.

A

B

C

D

59 Simplify.

A

B

C

D

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Alg1 2nd Quarter Test ______________________________________________________________________________

60 Simplify.

A

B

C

D

61 What is 60% as a fraction or mixed number in simplest form?

A

B

C

D

62 There are 22 students in your homeroom class. There are 9 who are in the jazz ensemble,and the rest of the students are in other after-school groups. What percent of homeroomstudents are in other after-school groups?

A about 41%B 50%C about 59%D about 69%

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