Algebra 1 Released Items

1
Algebra 1 Released Items

• 2000

2
Equations and Inequalities
3
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,
a40 service charge, and 30 per hour for labor.
What is the maximum number of hours the repairman
estimated for the job?

• 4½
• 5
• 5½
• 6

4
What is the solution to the following
equation?4x 1 2x 5

• x 1
• x 2
• x 3
• x 4

5
If ¼x 1 gt 15/2, then

• x gt 26
• x gt 29
• x gt 13/2
• x gt 28

6
The statementIf ½x 5, then x 10is
justified by the

• associative property of multiplication
• commutative property of multiplication
• addition property of equality
• multiplication property of equality

7
What are the x- and y-intercepts of the line with
equation 4x 5y 40?

• x-intercept 10, y-intercept 8
• x-intercept 8, y-intercept 10
• x-intercept 10, y-intercept 8
• x-intercept 8, y-intercept 10

8
Which graph best represents the liney ?x - 2?

• A
• B
• C
• D

9
Which is an equation for the line that passes
through the origin and has a slope of 3/5?

• y 3/5
• x 3/5
• y x
• y 3/5x

10
What is the slope of the liney 4x - 2?

• 4
• 2
• ¼
• -2

11
Which line has a y-intercept of 5 and an
x-intercept of 1?

• A
• B
• C
• D

12
Which equation best represents theline shown?

• y 2x 2
• y 2x 1
• y ½x 2
• y x 2

13
What is the apparent slope of the line graphed
below?

• 5/2
• 2/5
• -2/5
• -5/2

14
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?

• 5.74
• 2.49
• 2.15
• 1.59

15
Which is an equation for the line thatpasses
through the points (3, 0) and(0, 2)?

• y -3/2x 2
• y -2/3x 2
• y 2/3x 3
• y 3/2x 3

16
The length of a rectangle is 6 meters more than
its width. If the area is 135 square meters, what
is its width?

• 5 m
• 9 m
• 15 m
• 27 m

17
What is the solution to the system ofequations
shown below?

• A
• B
• C
• D

18
Which is a solution to the followingequation?x2
- 12x 28 0

• x 14
• x 12
• x 2
• x 0

19
What is the slope of the line through (3, 2) and
(1, 4)?

• 3
• 3/2
• 2/3
• -3/2

20
Which is the solution set for theequation
below?x2 - 3x 0

• 0, 3
• 3, 0
• 1, 3
• 2, 3

21
Expressions and Operations
22
What is the value of4m 84m 4when m 4?

• 0.5
• 1.2
• 1.7
• 2.0

23
Joe, who is the youngest member ofthe wrestling
team at Northwood HighSchool, is 5 years less
than one-half the age of the coach. If the coach
is n years old, which expression describes Joes
age?

• ½n 5
• 5 ½n
• 2n 5
• 2n - 5

24
Which expression is equivalent to-4a(3a - 5b)?

• -12a2 20ab
• -12a2 - 20ab
• -12a2 20a
• -12a2 9ab

25
Which is equivalent to (2a 3b - 2c) (3a - 4b
- c) (a - 5b 4c)?

• 5a - 6b c
• 6a - 6b - c
• 6a - 6b c
• 6a2 - 6b2 c2

26
Given the models below, which figure represents
(x 2)(x 3)?

• A
• B
• C
• D

27
What is v108 written in simplestradical form?

• 2v27
• 3v12
• 6v3
• 18v3

28
Which is equivalent to the expression shown
below?32 3-3

• -3
• -1
• 1/769
• 1/3

29
When simplified, (2x2y3)4 equals

• 8x6y7
• 8x8y12
• 16x6y7
• 16x8y12

30
What are factors of 2x2 9x 9?

• (x 9)(x 1)
• (x - 3)(2x - 3)
• (2x 3)(x - 3)
• (2x 9)(x 1)

31
x2 - 81y2 ?

• (x 3y)(x - 27y)
• (x - 9y)(x - 9y)
• (x 9y)(x - 9y)
• (x - 3y)(x 27y)

32
What is the greatest common monomial factor
of3x3 6xy 9x2 12x2y2?

• x3y2
• 3x2y2
• 3x
• 3

33
Which is closest to the value of q ifq v177 -
v256 ?

• 29.3
• 24.5
• -1.3
• -2.7

34
Relations and Functions
35
The numbers in the table follow a linear pattern.
What is the missing y value?

• 182
• 180
• 176
• 172

36
What is the range of the relationplotted on the
graph?

• -2, -1, 0, 1, 2
• -2, -1, 0, 2
• -2, -1, 1, 2
• -2, -1, 0, 1, 2, 3

37
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?

• (6, 12), (1, 8), (1, 13)
• (0, 2), (0, 4), (4, 0)
• (7, 1), (7, 2), (7, 3)
• (1, 3), (2, 4), (3, 5)

38
If y varies directly as x, what is the equation
for the direct variation shown in the table below?

• y 1/7x
• y 7x
• y 7/x
• 7y x

39
Which of these equations is a directvariation?

• y -8
• y -8x
• y -8x 1
• y -8x - 1

40
What is the range of the functionƒ(x) ½x - 2
when the domain is2, 4, 6?

• 8, 12, 16
• 0, 1, 2
• 1, 0, 1
• -1, 0, ½

41
Which is a zero ofƒ(x) x2 - 15x 54?

• 3
• 5
• 9
• 15

42
If ƒ(x) 7(x - 2) 4(x 1),what is ƒ(2)?

• 9
• 10
• 11
• 12

43
The cost of fabric varies directly with the
amount of fabric purchased. If1 2/3 yards of
fabric cost 10.00, how much would 4½ yards cost?

• 45
• 27
• 24
• 14

44
If m varies directly as p, and m 5when p 7,
what is the constant of variation?

• 35
• 12
• 7/5
• 5/7

45
The miles per gallon, m, of an experimental car
is given bywhere s is the cars speed in miles
per hour. What is the cars miles per gallon when
its speed is 100 miles per hour?

• 10 mpg
• 30 mpg
• 45 mpg
• 50 mpg

46
Statistics
47
What

• A
• B
• C
• D

48
The stem-and-leaf plots show the number of miles
per gallon a familys car and truck averaged over
the past few months. What is the difference in
the median number of miles per gallon for the two
vehicles?

• 7
• 9
• 10
• 11

49
Tommy and Jeremy are pitchers for the baseball
team and are being evaluated by the coach. The
speeds in miles per hour of each of their
practice pitches are shown below. Which of the
following statements is true regarding their
performances?

• Tommy has a lower mean speed.
• Tommy has a greater range of speeds.
• Tommy has a lower median speed.
• Jeremys median speed is higher than Tommys mean
  speed.

50
The box-and-whisker plot shows the heights in
centimeters of high school seniors compared to
their heights as freshmen. Using the median as
the measure,which is closest to the difference
in heights between the freshman and senior years?

• 0 cm
• 5 cm
• 10 cm
• 15 cm

51
The table shows the life expectancy of a person
related to the year of birth. Which equation
would give the bestestimate of life expectancy,
given the year of ones birth?

• y 0.45x 919
• y 0.45x - 819
• y 0.40x 893
• y 0.40x - 716

52
The table below shows the number of boxes of
cookies sold by members of two softball teams,
the Hawks and the Tigers. What is the difference
in the mean number of cookies sold by the two
teams?

• 2.5
• 4.5
• 6
• 14

53
Which scatterplot most likely has a line of best
fit represented by y 3x 1?

• A
• B
• C
• D