algebra 1 released items 2003. equations and inequalities

Algebra 1 Released Items

2003

Equations and Inequalities

Which property of real numbers is

utilized by rewriting 11x + 5xy as

x(11 + 5y)?

1 2 3 4 5

25% 25%25%25%A. Associative property for addition

B. Commutative property for addition

C. Closure property for multiplication

D. Distributive property for multiplication over addition

What is the solution to2 - 4a = 16?

1 2 3 4 518 10

-7/2

-9/2

25% 25%25%25%A. 18B. 10C. -7/2D. -9/2

Tambria’s property has the shape of a trapezoid with the dimensions shown. If the

perimeter of the property is 3,279 feet, what is the value of x?

1 2 3 4 5 7

26 ft

781

.25

ft

913

.5 ft

1,4

52 ft

25% 25%25%25%

A. 726 ftB. 781.25 ftC. 913.5 ftD. 1,452 ft

Which graph best represents thefunction y = -4/3x + 2?

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

What is the solution to the inequality

7x - 5 > x + 1?

1 2 3 4 5

x <

1

x >

1

x >

-1

x <

5/2

25% 25%25%25%A. x < 1B. x > 1C. x > -1D. x < 5/2

Which line has a negative slope?

1 2 3 4 5

25% 25%25%25%A. AB. BC. CD. D

Which line most likely has a slope of ½ and y-intercept 3?

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

What is the slope of the graph of

y = 6x - 1?

1 2 3 4 5-6 -1 1

/6 6

25% 25%25%25%

A. -6B. -1C. 1/6D. 6

What is the slope of the line that goes through (-3, 2) and

(3, 2)?

1 2 3 4 5 U

ndefin

ed 0 2

/3 3

/2

25% 25%25%25%A. UndefinedB. 0C. 2/3D. 3/2

Which equation fits the data in the

table?

1 2 3 4 5

25% 25%25%25%A. B.

C. D.

Roy works at the local grocery store and is paid $6.00 per hour. The graph shown describes his salary, S, based on the number of hours, t, he

works. Which is an equation of the graph shown?

1 2 3 4 5

25% 25%25%25%

A. S = 6 + tB. S = 6tC. S = 6/tD. S = t/6

The equation of the line that contains the points (-8, 1) and (0, -

5) is —

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

Which is the solution to the system of equations shown?

1 2 3 4 5

25% 25%25%25%

A. x = 1, y = 3B. x = 2, y = 2C. x = 3, y = 1D. x = 4, y = 0

A rectangle has a perimeter of 68 inches. Its length is 2 inches less than 3 times its width. What are the length

and width of the rectangle?

1 2 3 4 5

25% 25%25%25%

A. Length 22 in., width 12 in.

B. Length 25 in., width 9 in.C. Length 28 in., width 10

in.D. Length 22 in., width 8 in.

This is a graph of a system of equations. Which is most likely the solution to the

system of equations shown?

1 2 3 4 5

25% 25%25%25%

A. (0, 5)B. (1, 0)C. (3, 2)D. (2, 3)

2x2 - 3x + 1 = 0Which is the solution set for

theequation above?

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

x2 – 4 = 0Which is the solution set for

theequation above?

1 2 3 4 5

25% 25%25%25%A. {-4, 1}B. {-2, 2}C. {-1, 4}D. {0, 4}

Expressions and Operations

What is the value of 3x2 - y2 if x = 1

and y = 3?

1 2 3 4 512 -3 -6 -1

2

25% 25%25%25%A. 12B. -3C. -6D. -12

Which expression correctly represents

$10 less than twice the cost, c?

1 2 3 4 5

10

- 2c

10

- 2 +

c

2c

- 10

c/2

- 10

25% 25%25%25%A. 10 - 2cB. 10 - 2 + cC. 2c - 10D. c/2 - 10

Which is equivalent to

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

Consider the following models.

What polynomial is represented by thefollowing?

1 2 3 4 5

25% 25%25%25%

A. 3x2 - x - 5B. 3x2 - 7x - 5C. 3x2 + 7x - 5D. 3x2 + x - 5

Consider the following models.

Which expression represents the areaof the diagram below?

1 2 3 4 5

x2

+ 5x

+ 4

2x

+ 5

4x

+ 10

x2

+ 4

25% 25%25%25%

A. x2 + 5x + 4B. 2x + 5C. 4x + 10D. x2 + 4

The continent of North America has an area of approximately 9.4 x 106 square miles. The area of Asia is approximately

1.74 x 107 square miles. How many square miles larger is Asia than North

America?

1 2 3 4 5

25% 25%25%25%A. 7.6 x 101

B. 7.6 x 10-1

C. 8.0 x 106

D. 8.0 x 101

Which expression is equivalent to

(9x + 1)(9x - 1)?

1 2 3 4 5

18x

81x

2 - 1

18x

2 - 1

81x

2 - 1

8x -

1

25% 25%25%25%A. 18xB. 81x2 - 1C. 18x2 - 1D. 81x2 - 18x - 1

What is one of the factors ofx2 - 2x - 15?

1 2 3 4 5

(x

- 3)

(x

- 5)

(x

+ 1)

(x

+ 15

)

25% 25%25%25%A. (x - 3)B. (x - 5)C. (x + 1)D. (x + 15)

When completely factored,4 - 16x + 28y equals —

1 2 3 4 5 4

(1 -

4x +

7y)

4(1

- 4x

) + 2

8y

(4 -

7y)(1

+ 4

x)

4 -

4(4x

- 7y

)

25% 25%25%25%

A. 4(1 - 4x + 7y)B. 4(1 - 4x) + 28yC. (4 - 7y)(1 + 4x)D. 4 - 4(4x - 7y)

The area of a rectangle is represented

by the expression2x2 + 5x + 2.

Which is an equivalent expression for

this area?

1 2 3 4 5

25% 25%25%25%A. (2x + 2)(x + 1)B. (2x + 3)(x + 2)C. (2x + 1)(x + 4)D. (2x + 1)(x + 2)

Which is closest to the value of x if

x = 2√7?

1 2 3 4 53.

23.

75.

39.

9

25% 25%25%25%

A. 3.2B. 3.7C. 5.3D. 9.9

What is the value of √3.2/2to the nearest tenth?

1 2 3 4 5

25% 25%25%25%A. 0.7B. 0.9C. 1.3D. 1.5

Relations and Functions

The numbers in this table follow alinear pattern. What is the missing

value?

1 2 3 4 5

25% 25%25%25%A. 7B. 8C. 9D. 10

Which of these data sets represents a function?

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

Loki said the following graph does not represent a function of x. Which pair of points could Loki

use to prove that her statement is correct?

1 2 3 4 5

(-3,

4) a

nd (...

(-4,

3) a

nd (..

(-3,

4) a

nd (...

(-5,

0) a

nd (..

25% 25%25%25%

A. (-3, 4) and (-3,-4)B. (-4, 3) and (4, 3)C. (-3, 4) and (4,-3)D. (-5, 0) and (5, 0)

What is the apparent range of the function of x shown?

1 2 3 4 5

25% 25%25%25%

A. The set of all real numbers greater than or equal to 4

B. The set of all real numbers greater than or equal to 1

C. The set of all real numbers less than or equal to 1

D. The set of all real numbers

Which equation best describes this graph?

1 2 3 4 5

25% 25%25%25%

A. y = -xB. y = 2x + 2C. y = x - 2D. y = x + 2

If ƒ(x) = -2x + 3, what is ƒ(-4)?

1 2 3 4 5-5 -1 5.

5 11

25% 25%25%25%A. -5B. -1C. 5.5D. 11

The chart shows how the wholesale price of an item, p, depends on the cost of the materials needed to produce the item, m.

Which equation represents this linear relationship?

1 2 3 4 5

25% 25%25%25%

A. p = m + 3.5B. p = 2m + 3C. p = 3m + 2.5D. p = 4m + 2

What is the range of the functionƒ(x) = 3x - 1 when the domain is

{-1, 0, 1}?

1 2 3 4 5

25% 25%25%25%A. {-1, 2}B. {-1, 0, 1}C. {1, 2, 4}D. {-4, -1, 2}

Which of the following does notrepresent a function of x?

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

Which is a zero of the functionƒ(x) = x2 + 6x - 7?

1 2 3 4 5-7 -6 7 41

25% 25%25%25%A. -7B. -6C. 7D. 41

Jill was looking at a picture of herself and 3 friends. She measured the height of her image as 10 centimeters. If Jill is actually

60 inches tall, which equation can she use to find h, the actual height in inches, of

one of her friends who is ccentimeters tall in the picture?

1 2 3 4 5

25% 25%25%25%A. h = 10cB. h = 6cC. h = 5/3cD. h = 1/6c

The gas pressure in a chamber varies directly with the temperature in the

chamber. If the pressure in the chamber is 150 atmospheres (atm) when the chamber

is at 50°F, what is the pressure in the chamber when the temperature of the

chamber is 75°F?

1 2 3 4 5

25% 25%25%25%

A. 175 atmB. 200 atmC. 225 atmD. 275 atm

Statistics

is equal to which matrix?

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

-2D =?

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

Barry’s daily grades for one grading period are shown below.

94, 88, 87, 92, 78, 88, 93, 100, 92, 90, 92, 85

What was the mode of his daily grades?

1 2 3 4 5 93 92 91 90

25% 25%25%25%

A. 93B. 92C. 91D. 90

The stem-and-leaf plot shows the results of a science experiment in which 12 plants were

each given adifferent combination of water and nutrients

over a period of time and their growth in millimeters measured. What was the median

number ofmillimeters of growth?

1 2 3 4 5

25% 25%25%25%

A. 14B. 15C. 16D. 17

Connie made a scatterplot comparing the shoulder heights of her friends’ dogs to their weights. Connie’s dog stands 28 inches to his shoulder. Using a line of best fit for the plot,

which is the best prediction for her dog’s weight?

1 2 3 4 5

25% 25%25%25%

A. 40 poundsB. 55 poundsC. 65 poundsD. 70 pounds

Scott made a box-and-whisker graph of the soccer goals made by the players in

his district. What is the range of the goals made by the players?

1 2 3 4 5

25% 25%25%25%A. 24B. 18C. 6D. 4

Which equation best represents the data shown in the scatterplot?

1 2 3 4 5

25% 25%25%25%

A. y = 2x - 2B. y = x/2 - 2C. y = 2x + 2D. y = x - 1