Algebra I Released Items 2001. Equations and Inequalities

Algebra I Released Items

2001

Equations and Inequalities

Which is an example of thecommutative property of

addition?

1 2 3 4 5 3

+ 5

m =

3 +

(1 +

4)m

3 +

5m

= 5

m +

3

3 +

5m

= (3

+ 5

)m

3 +

5m

= 3

m +

5

25% 25%25%25%

A. 3 + 5m = 3 + (1 + 4)m

B. 3 + 5m = 5m + 3C. 3 + 5m = (3 + 5)mD. 3 + 5m = 3m + 5

Pauline sells cookie baskets. Shecharges $5 for the basket plus $2

percookie. If one filled basket sells for $31, how many cookies are in it?

1 2 3 4 5

25% 25%25%25%A. 13B. 15C. 18D. 20

What property of real numbersjustifies the following statement?

4x(y + 2) - 3y is equivalent to4x(y) + 4x(2) - 3y

1 2 3 4 5

25% 25%25%25%A. The associative property of multiplication

B. The commutative property of multiplication

C. The distributive property of multiplication over addition

D. The closure property of multiplication

What is the solution to 3(x - 5) > 12?

1 2 3 4 5

x <

1

x >

1

x >

17/

3

x >

9

25% 25%25%25%A. x < 1B. x > 1C. x > 17/3D. x > 9

The line on the grid is best described

by the equation —

1 2 3 4 5

25% 25%25%25%

A. y = x + 1B. y = x - 1C. y = -x + 1D. y = -x - 1

What is the slope of the line that

contains (4, -1) and (3, 3)?

1 2 3 4 5-4 -½ -¼

2

25% 25%25%25%A. -4B. -½C. -¼D. 2

Which line on the graph has anundefined slope?

1 2 3 4 5

25% 25%25%25%

A. AB. BC. CD. D

What is the slope of the line3x + y = 5?

1 2 3 4 5

3 -3

25% 25%25%25%A. 3B. -3C. ⅓

D. -⅓

Which equation best describes this

graph?

1 2 3 4 5

25% 25%25%25%

A. x = 5yB. x = -5C. y = -5xD. y = -5

Which line has y-intercept -3 andx-intercept 2?

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

During a sale, an automobile dealer sold 69 cars and trucks. If she sold

27 more cars than trucks, how many of each did she sell?

1 2 3 4 5

25% 25%25%25%A. 48 cars, 21 trucksB. 45 cars, 24 trucksC. 42 cars, 27 trucksD. 35 cars, 34 trucks

A line has a slope of -2 and contains

the point (1, -1). Which is an equation of this line?

1 2 3 4 5

25% 25%25%25%A. y = -2x - 1B. y = -x + 2C. y = -2x + 1D. y = 2x - 3

Which is the solution to the system of equations shown?

1 2 3 4 5

25% 25%25%25%A. (-2, 8)B. (-2, 0)C. (2, 0)D. (0, -2)

Which is an equation for the line that

contains the points (-2, 3) and (2, -1)?

1 2 3 4 5 y

= x

+ 5

y =

x -

3

y =

-x +

1

y =

-2x

- 1

25% 25%25%25%A. y = x + 5B. y = x - 3C. y = -x + 1D. y = -2x - 1

The velocity of an object in a liquid can be described by the equation v = 20 - t -t2 where v is the velocity in meters per

second and t is time in seconds. At what time will v = 0?

1 2 3 4 5

25% 25%25%25%A. 4 secB. 5 secC. 6 secD. 7 sec

A weather balloon in the shape of asphere has a surface area of 160

squaremeters. If the formula for the surface area of a sphere is S.A. = 4πr2, to the nearest tenth of a meter, what is the

radius of the balloon?

1 2 3 4 5 2.0

m 3

.6 m

11.

2 m

12.

7 m

25% 25%25%25%

A. 2.0 mB. 3.6 mC. 11.2 mD. 12.7 m

Mary published her first book. She was given $10,000.00 and an additional $0.10 for each copy of the book that sold. Her earnings, d, in

dollars, fromthe publication of her book are given by

d = 10,000 + 0.1nwhere n is the number of copies sold. During the

first year Mary earned $35,000.00 from the publication and sale of her book. How many

copies of her book sold in the first year?

1 2 3 4 5

25% 25%25%25%

A. 25,000B. 35,000C. 250,000D. 350,000

Expressions and Operations

When completely factored, 3x2 - 48

equals —

1 2 3 4 5

3(x

2 - 4

8)

3(x

2 +

16)

3(x

- 4)

(x +

4)

(3x

- 16)

(x +

3)

25% 25%25%25%A. 3(x2 - 48)B. 3(x2 + 16)C. 3(x - 4)(x + 4)D. (3x - 16)(x + 3)

Victor bought a computer for $1,800. He made a down payment of $200

and will pay the rest in 5 equal payments. If p represents the amount of each payment, which equation can

be used to find this amount?

1 2 3 4 5

25% 25%25%25%

A. $200p = $1,800B. $1,800 + 5p = $200C. $1,800 + $200 = 5pD. $1,800 = 5p + $200

When completely factored, x2 + x - 12

equals —

1 2 3 4 5 (x

+ 3

)(x -

4)

(x +

4)(x

- 3)

(x +

7)(x

- 5)

(x +

12)

(x -

1)

25% 25%25%25%A. (x + 3)(x - 4)B. (x + 4)(x - 3)C. (x + 7)(x - 5)D. (x + 12)(x - 1)

The population of Asia is about3.4 x 109. The population of Africa is

about 7 x 108. About how many more

people live in Asia than live in Africa?

1 2 3 4 5

25% 25%25%25%

A. 27,000,000B. 270,000,000C. 360,000,000D. 2,700,000,000

Which is equivalent to(5x2 + 4x + 1)(-7x + 2)?

1 2 3 4 5 -2

x2 +

6x

+ 1

5x2

- 3x

- 1

5x2

- 3x

+ 3

5x2

+ 1

1x +

3

25% 25%25%25%A. -2x2 + 6x + 1B. 5x2 - 3x - 1C. 5x2 - 3x + 3D. 5x2 + 11x + 3

Which expression is equivalent to

1 2 3 4 5

25% 25%25%25%A. 4x2

B. 6x2

C. 4x2 - 1D. 6x2 - 1

Which is closest to the value of 3√5?

1 2 3 4 53.

96.

77.

58.

7

25% 25%25%25%

A. 3.9B. 6.7C. 7.5D. 8.7

One factor of 5x2 + 13x - 6 is —

1 2 3 4 5 5

x - 6

5x

- 1

5x

- 2

5x

- 3

25% 25%25%25%A. 5x - 6B. 5x - 1C. 5x - 2D. 5x - 3

What is the value of x(5 + y) if x = 4 and y = 2?

1 2 3 4 518 22 28 36

25% 25%25%25%A. 18B. 22C. 28D. 36

Ben’s Bakery charges a fee of 2d + 25

to deliver d boxes of baked goods while Dan’s Bakery charges 3d + 20.

Which expression describes how much more Dan’s Bakery charges

than Ben’s Bakery?

1 2 3 4 5

25% 25%25%25%A. 5d + 45B. d - 5C. d + 5D. -d + 5

Which is equivalent to b6/b2?

1 2 3 4 5 1

/b3

b3

b4

b8

25% 25%25%25%A. 1/b3

B. b3

C. b4

D. b8

Which is closest to the value of√12 · √15 ?

1 2 3 4 552

13.5

13.4 6.

7

25% 25%25%25%A. 52.0B. 13.5C. 13.4D. 6.7

Relations and Functions

Which of the following tables does not

represent a function?

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

Which equation most likely describes

the relation indicated by the table?

1 2 3 4 5 y

= x

+ 4

y =

x -

2

y =

-x +

4

y =

-x -

8

25% 25%25%25%

A. y = x + 4B. y = x - 2C. y = -x + 4D. y = -x - 8

The table shows the relationship between the cost, c, in dollars of a taxi ride and the number, t, of minutes the ride lasts. Which

equation algebraically represents this data?

1 2 3 4 5

25% 25%25%25%

A. c = 3 + 0.35tB. c = 2.75 + 0.5tC. c = t - 0.25D. c = 4 + 0.15t

In which graph is y a direct variation of x?

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

The graph shows part of a function ƒ. What is the range of the function?

1 2 3 4 5

25% 25%25%25%A. All real numbersB. All real numbers

less than or equal to five

C. All real numbers greater than zero

D. All real numbers between 2 and 6

In which table are all the points represented by the equation

1 2 3 4 5

25% 25%25%25%

A.

B.

C.

D.

Which equation represents an inverse variation?

1 2 3 4 5

25% 25%25%25%

A. B.

C.D.

Which of the following represents the graph of a function?

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

Which of the following sets of ordered pairs is a function?

1 2 3 4 5

{(2,

1),

(2, 2

), (3

, 4..

{(-2

, -1)

, (1,

2),

(3,..

.

{(1,

2),

(2, 2

), (3

, 3..

{(1,

1),

(2, 1

), (3

, 2..

25% 25%25%25%A. {(2, 1), (2, 2), (3, 4), (5, 6)}B. {(-2, -1), (1, 2), (3, 4), (1,

5)}C. {(1, 2), (2, 2), (3, 3), (2, 4)}D. {(1, 1), (2, 1), (3, 2), (4, 4)}

Using the function machine from the diagram, what is ƒ(10)?

1 2 3 4 5

25% 25%25%25%A. 5B. 7.5C. 15D. 25

Which is a zero of the functionƒ(x) = x2 + 3x - 4?

1 2 3 4 5-4 -1 3 4

25% 25%25%25%

A. -4B. -1C. 3D. 4

What is the range of the function

ƒ(x) = ½x + 5 when the domain is{2, 4, 6}?

1 2 3 4 5

25% 25%25%25%A. {-6, -2, 2}B. {6, 7, 8}C. {2, 4, 6}D. {1, 3, 5}

Statistics

Based on the scatterplot, which x value would best match y = 17?

1 2 3 4 5

25% 25%25%25%

A. 8B. 11C. 14D. 17

Which of the following operationswould result in the matrix

1 2 3 4 5

25% 25%25%25%

A. B.

C.

D.

During a summer reading program, Mary read 9 books. The books contained 217

pages, 138 pages, 159 pages, 356 pages, 270 pages, 112 pages, 138 pages, 210 pages, and 195 pages. What was the

median number of pages of the 9 books that Mary read during the summer

reading program?

1 2 3 4 5

25% 25%25%25%

A. 138B. 159C. 195D. 244

In which data set is the median value equal to the mean value?

1 2 3 4 5

{2, 4

, 6, 7

, 8}

{12,

18,

20,

23,

24}

{16,

17,

18,

19,

20}

{50,

60,

65,

75,

85}

25% 25%25%25%A. {2, 4, 6, 7, 8}B. {12, 18, 20, 23,

24}C. {16, 17, 18, 19,

20}D. {50, 60, 65, 75,

85}

Jorge made the following stem-and-leaf diagram of the weights of the members of the football team he was coaching. What was the

mode of the weight ofthe players on the team?

1 2 3 4 5

25% 25%25%25%A. 145B. 150C. 152D. 168

Using the data plotted on the scatterplot, which is the best prediction

for income in the year 2000?

1 2 3 4 5

25% 25%25%25%

A. 35,000B. 43,000C. 50,000D. 57,000