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Algebra 1 2006 Released Test
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Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

Jan 18, 2016

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Page 1: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

Algebra 1

2006 Released Test

Page 2: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

A repairman estimated the cost of replacing a part in Mrs. James’ computer

would be at most $225. The estimate included $35 for the part, a

$40 service charge, and $30 per hour for labor. What is the maximum number of

hours the repairman estimated for the job?

1 2 3 4 5 4½

5 5

½ 6

25% 25%25%25%A. 4½ B. 5C. 5½ D. 6

Page 3: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

What is the solution to the followingequation?

1 2 3 4 5

25% 25%25%25%A. x = 1B. x = 2C. x = 3D. x =4

Page 4: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

Enter question text...

1 2 3 4 5

x >

26

x >

29

x >

13/

2

x >

28

25% 25%25%25%

A. x > 26B. x > 29C. x > 13/2D. x > 28

Page 5: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

The statement“If ½x = 5, then x = 10”

is justified by the —

1 2 3 4 5

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

B. commutative property of multiplication

C. addition property of equality

D. multiplication property of equality

Page 6: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

What are the x- and y-intercepts of the

line with equation 4x + 5y = 40?

1 2 3 4 5 x

-inte

rcep

t 10,

y-in

te...

x-in

terc

ept 8

, y-

inte

r...

x-in

terc

ept -

10, y

-inte

...

x-in

terc

ept -

8, y

-inte

r...

25% 25%25%25%A. x-intercept 10, y-intercept 8

B. x-intercept 8, y-intercept 10

C. x-intercept -10, y-intercept -8

D. x-intercept -8, y-intercept -10

Page 7: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

Which graph best represents the line

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

Page 8: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

Which is an equation for the line that passes through the origin and has a

slope of 3/5?

1 2 3 4 5 y

= 3

/5

x =

3/5

y =

x

y =

3/5

x

25% 25%25%25%

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

Page 9: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

What is the slope of the liney = 4x -2?

1 2 3 4 54 2 ¼

-2

25% 25%25%25%A. 4B. 2C. ¼ D. -2

Page 10: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

Which line has a y-intercept of 5 and an x-intercept of 1?

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

Page 11: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

Which equation best represents theline shown?

1 2 3 4 5

25% 25%25%25%

A. y = 2x + 2B. y = 2x + 1C. y = ½x + 2D. y = x + 2

Page 12: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

What is the apparent slope of the line

graphed below?

1 2 3 4 5

25% 25%25%25%

A. 5/2B. 2/5C. -2/5D. -5/2

Page 13: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

The difference in cost between a large bag of chips and a small bag of chips was

90¢. Alicia bought 5 large bags and 3 small bags of chips for her party and spent $17.22. What was the cost of a

small bag of chips?

1 2 3 4 5 $5...

$2...

$2...

$1...

25% 25%25%25%A. $5.74B. $2.49C. $2.15D. $1.59

Page 14: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

Which is an equation for the line thatpasses through the points (3, 0) and

(0, 2)?

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

Page 15: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

The length of a rectangle is 6 meters more than its width. If the area is 135

square meters, what is its width?

1 2 3 4 5 5

m 9

m 1

5 m

27

m

25% 25%25%25%A. 5 mB. 9 mC. 15 mD. 27 m

Page 16: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

What is the solution to the system of

equations shown below?

1 2 3 4 5

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

C.

D.

Page 17: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

Which is a solution to the followingequation?

1 2 3 4 5

25% 25%25%25%A. x = 14B. x = 12C. x = 2D. x = 0

Page 18: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

What is the slope of the line through

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

1 2 3 4 5

3 3

/2 2

/3 -3

/2

25% 25%25%25%

A. 3B. 3/2C. 2/3D. -3/2

Page 19: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

Which is the solution set for theequation above?

1 2 3 4 5

25% 25%25%25%A. {0, 3}B. {-3, 0}C. {1, 3}D. {2, 3}

Page 20: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

What is the value of

when m = 4?

1 2 3 4 5

25% 25%25%25%A. 0.5B. 1.2C. 1.7D. 2.0

Page 21: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

Joe, who is the youngest member of the wrestling team at Northwood High School, is 5 years less than one-half the age of the

coach. If the coach is n years old, which expression describes Joe’s age?

1 2 3 4 5 ½n -

5

5 –

½n

2n +

5

2n -

5

25% 25%25%25%A. ½n - 5B. 5 – ½nC. 2n + 5D. 2n - 5

Page 22: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

Which expression is equivalent to

-4a(3a - 5b)?

1 2 3 4 5 -1

2a2

+ 20

ab

-12a

2 - 2

0ab

-12a

2 +

20a

-12a

2 - 9

ab

25% 25%25%25%A. -12a2 + 20abB. -12a2 - 20abC. -12a2 + 20aD. -12a2 - 9ab

Page 23: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

Which is equivalent to(2a + 3b - 2c) + (3a - 4b - c) + (a - 5b +

4c)?

1 2 3 4 5

5a

- 6b +

c

6a

- 6b -

c

6a

- 6b +

c

6a2

- 6b

2 + c

2

25% 25%25%25%A. 5a - 6b + cB. 6a - 6b - cC. 6a - 6b + cD. 6a2 - 6b2 + c2

Page 24: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

Given the models below, which figure

represents (x2)(x3)?

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

Page 25: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

What is √108 written in simplest

radical form?

1 2 3 4 5

25% 25%25%25%A. 2√27B. 3√12C. 6√3D. 1√83

Page 26: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

Which is equivalent to the expression shown below?

32 · 3-3

1 2 3 4 5

25% 25%25%25%A. -3B. -1C. 1/769D. ⅓

Page 27: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

When simplified, (2x2y3)4 equals —

1 2 3 4 5

8x6

y7

8x8

y12

16x

6y7

16x

8y12

25% 25%25%25%A. 8x6y7

B. 8x8y12

C. 16x6y7

D. 16x8y12

Page 28: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

What are factors of 2x2 + 9x + 9?

1 2 3 4 5 (x

+ 9

)(x +

1)

(x -

3)(2

x - 3

)

(2x

+ 3)

(x +

3)

(2x

+ 9)

(x +

1)

25% 25%25%25%A. (x + 9)(x + 1)B. (x - 3)(2x - 3)C. (2x + 3)(x + 3)D. (2x + 9)(x + 1)

Page 29: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

x2 - 81y2 =?

1 2 3 4 5 (x

+ 3

y)(x

- 27

y)

(x -

9y)(x

- 9y

)

(x +

9y)

(x -

9y)

(x -

3y)(x

+ 2

7y)

25% 25%25%25%A. (x + 3y)(x -

27y)B. (x - 9y)(x - 9y)C. (x + 9y)(x - 9y)D. (x - 3y)(x +

27y)

Page 30: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

What is the greatest common monomial factor of

3x3 + 6xy + 9x2 + 12x2y2?

1 2 3 4 5

25% 25%25%25%A. x3y2

B. 3x2y2

C. 3xD. 3

Page 31: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

Which is closest to the value of q if

q = √177 - √256 ?

1 2 3 4 529

.324

.5-1

.3-2

.7

25% 25%25%25%A. 29.3B. 24.5C. -1.3D. -2.7

Page 32: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

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

value?

1 2 3 4 5

25% 25%25%25%

A. 182B. 180C. 176D. 172

Page 33: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

The table below shows the relation between the number of members in a club selling cookies

and the predicted number of boxes sold. Using the data shown, which equation could be used to predict the number of boxes of cookies that

the club will sell?

1 2 3 4 5

25% 25%25%25%

A. b = 60gB. b = 70gC. b = 60g + 50D. b = 50g + 50

Page 34: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

What is the range of the relationplotted on the graph?

1 2 3 4 5

25% 25%25%25%A. {-2, -1, 0, 1, 2}B. {-2, -1, 0, 2}C. {-2, -1, 1, 2}D. {-2, -1, 0, 1, 2, 3}

Page 35: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

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

is y a function of x?

1 2 3 4 5

25% 25%25%25%

A. {(-6, 12), (1, 8), (1, 13)}

B. {(0, 2), (0, 4), (4, 0)}C. {(7, -1), (7, -2), (7, -3)}D. {(1, 3), (2, 4), (3, 5)}

Page 36: Algebra 1 2006 Released Test. A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included.

If y varies directly as x, what is theequation for the direct variation

shown in the table below?

1 2 3 4 5 y =

1/7

x

y =

7x

y =

7x

7y

= x

25% 25%25%25%

A. y = 1/7xB. y = 7xC. y = 7xD. 7y = x