algebra 1 released items 2005. equations and inequalities

Algebra 1 Released Items

2005

Equations and Inequalities

Ron paid $75.00 for 5 compact disks and a case. If the price of each

compact disk was $12.60, what was the price of the case?

1 2 3 4 5

25% 25%25%25%

A. $12.00B. $12.50C. $15.00D. $63.00

What is the solution to4(2x - 3) = 2(3x + 1)?

1 2 3 4 5-5 1 7 10

25% 25%25%25%A. -5B. 1C. 7D. 10

What is the solution to 8 - 2x > -4?

1 2 3 4 5 x

> 6

x >

2

x <

2

x <

6

25% 25%25%25%A. x > 6B. x > 2C. x < 2D. x < 6

Which of the following is most likely a

graph of y = -2x + 3?

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

6a2 - 2a = 2a(3a - 1)What property makes this

equationtrue?

1 2 3 4 5

25% 25%25%25%A. The reflexive propertyB. The associative

propertyC. The commutative

propertyD. The distributive

property

Which of the following is most likelythe graph of a line with a slope of

zero?

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

What is the y-intercept of4x + 8y = 12?

1 2 3 4 5

3 3

/2 -1

/2

-4

25% 25%25%25%A. 3B. 3/2C. -1/2 D. -4

What is the slope of the line through (1, 1) and (4, -1)?

1 2 3 4 5 -1

/5 -2

/5 -2

/3 -3

/2

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

What is the slope of the line3y = 4x + 5?

1 2 3 4 5

4 2 5

/3 4

/3

25% 25%25%25%A. 4B. 2C. 5/3D. 4/3

Which is an equation for the line with a slope of ½ that passes

through the origin?

1 2 3 4 5

25% 25%25%25%A. y = ½xB. y = 2xC. y = ½D. x = 0

Which is an equation for the linewhich contains (3, 4) and the

origin?

1 2 3 4 5

y =

3/4

x

y =

4/3

x

y =

4x

+ 3

y =

3x

+ 4

25% 25%25%25%

A. y = 3/4xB. y = 4/3xC. y = 4x + 3D. y = 3x + 4

Which graph best represents a line

with a y-intercept of 4 and slope -3?

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

Which equation most likely represents

the line shown on the graph?

1 2 3 4 5

y =

3/2

x + 3

y 3

x 3

y =

-2/3

x –

3

y =

2/3

x –

3

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

Which is the solution to the system of

equations shown?

1 2 3 4 5

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

C. D.

Mrs. Crews bought 4 pencils and 3 pens for $5.60. Miss Houston bought 2 pencils and 3 pens of the same kind for $4.60. What was the price of each

pencil and each pen?

1 2 3 4 5 $

1.70

per

pen

cil..

.

$0.

50 p

er p

enci

l...

$0.

17 p

er p

enci

l...

$0.

80 p

er p

enci

l...

25% 25%25%25%A. $1.70 per pencil, $0.20 per penB. $0.50 per pencil, $1.20 per penC. $0.17 per pencil, $1.64 per penD. $0.80 per pencil, $0.80 per pen

The perimeter of a rectangular playing

field is 244 feet. If its length is 2 feetlonger than twice its width, what are

the dimensions of the field?

1 2 3 4 5 20

ft, 4

1 ft

21

ft, 4

0 ft

40

ft, 8

2 ft

42

ft, 8

0 ft

25% 25%25%25%

A. 20 ft, 41 ftB. 21 ft, 40 ftC. 40 ft, 82 ftD. 42 ft, 80 ft

What are the solutions to the equation below?

1 2 3 4 5

25% 25%25%25%

A. x = -4 or x = 4B. x = -12 or x =

9C. x = -3 or x = 3D. x = 3 or x = 9

Which is the solution set forx2 - 5x – 14 = 0?

1 2 3 4 5 {-

7, -2

}

{-7,

2}

{-2,

7}

{2, 7

}

25% 25%25%25%A. {-7, -2}B. {-7, 2}C. {-2, 7}D. {2, 7}

Expressions and Operations

If z ≠ 0,

1 2 3 4 5

25% 25%25%25%A. 18y2z2

B. 16y2z2

C. 4yz3

D. 4y2z2

(3xy)(5x2 + 2xy + 3y2) is equivalent to —

1 2 3 4 5 1

5x3y

+ 6

x2y2

+ 9

xy3

15x

3y +

2xy

+ 3

y2

15x

2y +

6x2

y2 +

9xy

2

15x

2 + 5

xy +

3y2

25% 25%25%25%A. 15x3y + 6x2y2 + 9xy3

B. 15x3y + 2xy + 3y2

C. 15x2y + 6x2y2 + 9xy2

D. 15x2 + 5xy + 3y2

What is the perimeter of the triangle

shown in the drawing?

1 2 3 4 5

25% 25%25%25%

A. 7x + 9B. 8x + 9C. 8x3 + 9D. 10x3 + 9

3.81 x 10-4 may be written as —

1 2 3 4 53.

81E-0

5

0.00

0381

3,81

0

38,1

00

25% 25%25%25%A. 0.0000381B. 0.000381C. 3,810D. 38,100

Which is equivalent to p6p2?

1 2 3 4 5 p

8 2

p8 p

10 p

12

25% 25%25%25%A. p8

B. 2p8

C. p10

D. p12

If y ≠ 0, which expression is equivalent to the one shown

below?

1 2 3 4 5

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

C. D.

A board that is c feet long supports the stairs as shown below. To find the value

of c, Britney used the following expression.√122 + 182

What is c to the nearest tenth of a foot?

1 2 3 4 5

25% 25%25%25%

A. 36.0 ftB. 30.0 ftC. 21.6 ftD. 13.4 ft

When completely factored,x2 - 7x + 10 equals —

1 2 3 4 5 (x

- 5)

(x -

2)

(x -

3)(x

- 4)

(x +

5)(x

- 2)

(x +

4)(x

+ 6

)

25% 25%25%25%A. (x - 5)(x - 2)B. (x - 3)(x - 4)C. (x + 5)(x - 2)D. (x + 4)(x + 6)

When 5x2 - 5 is completely factored, which is one of its

factors?

1 2 3 4 5 x

+ 1

x -

5

5x

+ 1

5x

- 1

25% 25%25%25%A. x + 1B. x - 5C. 5x + 1D. 5x - 1

Which is the simplest radical form

of √52?

1 2 3 4 5

25% 25%25%25%A. 13√2B. 5√2C. 4√13D. 2√13

What is the value of a(3 - b) if a = 2

and b = 5?

1 2 3 4 5-4 0 5 16

25% 25%25%25%A. -4B. 0C. 5D. 16

The base of a triangle is 3 units more

than h, its height. Which expressionrepresents its area?

1 2 3 4 5 h

(h +

3)

½h(h

+ 3

)

h(h

- 3)

½h(h

- 3)

25% 25%25%25%A. h(h + 3)B. ½h(h + 3)C. h(h - 3)D. ½h(h - 3)

Relations and Functions

Trina’s paycheck earnings, p, variesdirectly as the number of hours, h, she works. If she works 19 hours and earns$187.15, what should she earn if she

worked 40 hours?

1 2 3 4 5

25% 25%25%25%

A. $394.00B. $443.25C. $472.80D. $512.20

When the input is ⅓, what is the

output?

1 2 3 4 5

25% 25%25%25%A. -29/6B. -44/9C. -14/3D. 46/9

The ordered pairs in the sets shown below are of the form (x, y). In

whichset is y a function of x?

1 2 3 4 5

25% 25%25%25%A. {(1, 3), (2, 6), (3, 1), (6,

3)}B. {(1, 3), (3, 1), (3, 4), (4,

3)}C. {(1, -2), (1, 0), (1, 5), (1,

7)}D. {(0, 3), (1, 4), (2, 4), (2,

8)}

The table shows the relationship between a, the area of a rectangle, and h, its

height, when the base remains constant. Which equation represents the relationship between h and a?

1 2 3 4 5 a =

h +

6

a =

3h +

2

a =

4h

a =

2h +

4

25% 25%25%25%

A. a = h + 6B. a = 3h + 2C. a = 4hD. a = 2h + 4

The total number, n, of employees at a company depends on the company’s yearly gross profits

according to the equation n = 10p + 20, where p is the yearly gross profit in millions of dollars. If the yearly gross profit declined from 20 million

dollars to 15 million dollars, what was the decrease in the number of employees?

1 2 3 4 5

25% 25%25%25%

A. 50B. 70C. 120D. 220

Which of these pairs of the form (x, y) could not lie on the graph

of a function of x?

1 2 3 4 5

25% 25%25%25%A. (1, 1) and (3, 1)B. (1, 1) and (2, 1)C. (1, 1) and (1, 2)D. (1, 1) and (2, 2)

Which of the following represents the graph of a function of x?

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

The function below contains ordered

pairs of the form (x, y).ƒ{(6, 5), (2, 3), (1, 4)}

What is the range of the function?

1 2 3 4 5

{4}

{1, 2

, 3, 4

, 5, 6

}

{1, 2

, 6}

{3, 4

, 5}

25% 25%25%25%A. {4}B. {1, 2, 3, 4, 5,

6}C. {1, 2, 6}D. {3, 4, 5}

Which is a zero of the functionƒ(x) = 2x - 10?

1 2 3 4 510 8 5 -5

25% 25%25%25%A. 10B. 8C. 5D. -5

Enter question text...

1 2 3 4 5

25% 25%25%25%A. -2B. -1C. 1D. 2

The point (q, 0) lies on the graph of the following function.

What is the value of q?

1 2 3 4 5 -8 -6 6 8

25% 25%25%25%

A. -8B. -6C. 6D. 8

In the table, y varies directly with x. Which equation best describes the

data?

1 2 3 4 5

25% 25%25%25%

A. xy = 5/3B. xy = 3/5C. y = 5/3xD. y = 3/5x

Statistics

These are box-and-whisker plots of four different groups of test scores. Which has

the greatest range?

1 2 3 4 5

25% 25%25%25%

A.

B.

C.

D.

A student scored 85, 49, 67, and 83 on

four tests. What score would the student need to make on the next test to have a mean score of 75?

1 2 3 4 5

25% 25%25%25%A. 75B. 79C. 86D. 91

{5, 6, 6, 8, 9, 10}For the data set shown, which

measureis the greatest?

1 2 3 4 5

25% 25%25%25%A. MeanB. MedianC. ModeD. Range

Enter question text...

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

Which equation defines the linear line

of best fit for the data in the table?

1 2 3 4 5

25% 25%25%25%A. y = 19.5x - 0.35B. y = 0.35x + 19.5C. y = 19.5x + 0.35D. y = 0.35x - 19.5