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Title: Algebra I C.I.S.R. (Continuous Improvement standards review)


1
Algebra I C.I.S.R.(Continuous Improvement
standards review)
  • Quarter 3

2
Week Starting
3
Week 1
MA.912.A.2.3
An ice cream shop charges 5 for an ice cream
cone with one scoop of ice cream and an
additional 0.75 for each extra scoop of ice
cream. Which function represents the total cost
of an ice cream cone with x extra scoops of ice
cream?
  • f(x) 5x 0.75
  • f(x) 5x - 0.75
  • f(x) 0.75x 5
  • f(x) 0.75x - 5

3
4
Week 1
MA.912.A.2.3
Given the function f(x) 5 - 2x, what is the
value of x if f(x) 3?
  • x 3
  • x 1
  • x -1
  • x 11

4
5
Week 1
MA.912.A.2.3
Alejandro drove to his grandmother's house. He
used the cruise control in his car to keep his
speed constant. Which graph shows his speed as he
drove to his grandmother's house?
A.
C.
B.
D.
5
6
Week 1
MA.912.A.2.3
At a local grocery store, watermelons are sold
for 4 each plus an additional 0.25 per pound.
Write a function that describes the relationship
between x, the number of pounds of a watermelon,
and f(x), the total cost of the watermelon.
  • f(x) 4.25x
  • f(x) 4 0.25x
  • f(x) 4 (0.25x 1)
  • f(x) 4x (0.25x 4

6
7
Week 1
MA.912.A.2.3
The cost of a New York City taxi fare can be
described by the function f(x) 3 0.50x,
where x represents the number of miles the taxi
drives. What is the value of f(x) for a 12-mile
taxi ride?
  • 3. 50
  • 9. 00
  • 15. 50
  • 38. 40

7
8
Week 2
MA.912.A.3.9
Carla is one year older than James. The
relationship between their ages can be
represented by the equationC J 1 If
Carla's age is graphed as a function of James's
age, what will be the coordinates of the x- and
y-intercepts for the graph of this function?
  • x-intercept (0, 1) y-intercept (-1, 0)
  • x-intercept (James) y-intercept (Carla)
  • x-intercept (1, 0) y-intercept (1, 0)
  • x-intercept (-1, 0) y-intercept (0, 1)

8
9
Week 2
MA.912.A.3.9
On a coordinate graph, Celeste places a red
marble at the point (2, 2) and a green marble at
the point (4, 1). If she draws a line that passes
through both of these points, which set of
coordinates represents the x- and y-intercepts of
the line?
  • x-intercept (0, 6) y-intercept (3, 0)
  • x-intercept (6, 0 y-intercept (0, 3)
  • x-intercept (0, 3) y-intercept (6, 0)
  • x-intercept (3, 0) y-intercept (0, 6)

9
10
Week 2
MA.912.A.3.9
The graph below shows the rate at which a
cross-country runner burns calories. What is the
slope of the line?
  • 2/30
  • 15
  • 7/14
  • 1

10
11
Week 2
MA.912.A.3.9
The diagram below shows the dimensions of Lopez
family's house. What is the slope of the portion
of the roof that is represented by the solid red
line?
11
12
Week 2
MA.912.A.3.9
The equation 3x - 2y -16 can be used to
determine the size of a recommended refrigerator,
where y represents the volume of the refrigerator
in cubic feet, and x represents the number of
people (greater than 2) living in the residence.
When this equation is graphed on a coordinate
plane, where does the line intercept the y-axis?
12
13
Week 3
MA.912.A.3.10
The line shown in the graph below can be
represented by the equation Which of the
following is the equation for a line that is
perpendicular to this line, passing through the
point (6, 4)?

13
14
Week 3
MA.912.A.3.10
Rod is a professional archer who always hits the
bull's eye or the ring next to the bull's eye.
The chart below shows the number of points, p, he
will score when shooting 20 arrows, based on the
number of bull's eyes, b, that he hits. Which
equation represents the information shown on the
graph?
  • p 160 5b
  • p 160 - 5b
  • p 160 2b
  • p 160 - 2b

14
15
Week 3
MA.912.A.3.10
Robert sharpened pencils for the school math
contest. He sharpened 8 pencils in 2 minutes and
32 pencils in 8 minutes.If he continues at the
same rate, which equation can be used to predict
the number of pencils he can sharpen in 30
minutes? Let p represent the number of pencils
and t represent the number of minutes.
  • p t 30
  • 4t p
  • 8p 3t
  • t/p 4

15
16
Week 3
MA.912.A.3.10
In an isometric drawing, parallel edges of a
three-dimensional object are represented as
parallel lines when the object is drawn in two
dimensions. In the isometric drawing of the cube
below, line is drawn to form one edge of the
cube. The equation y x 3 can be used to
represent line . Line k is then drawn to form a
parallel edge of the cube, passing through (5,
4).Which of the following shows the equation for
line k?
  • y x - 1
  • y -x 1
  • y x 5
  • y -x - 5

16
17
Week 3
MA.912.A.3.10
Line s passes through the points (2, 7) and (6,
1). Line t passes through the point (5, 2) and is
perpendicular to line s. What is the equation for
line t?

17
18
Week 4
MA.912.A.3.14
John is training for a competition in which
athletes will run and bike several miles. If John
can run a mile in 7 minutes and bike a mile in 4
minutes, he will be able to finish the race in 90
minutes. If he can run a mile in 8 minutes and
bike a mile in 3 minutes, he will be able to
cover the same distance in just 84 minutes. In
the equations below, r represents the number of
miles run, and b represents the number of miles
biked . 7r 4b 908r 3b 84 How many
miles will John run during the race?
  • 6  miles
  • 7  miles
  • 8  miles
  • 12  miles

18
19
Week 4
MA.912.A.3.14
In the 1600s, a blacksmith could make a living by
hand-forging horseshoes and nails. A diligent
blacksmith could make one horseshoe in 12 minutes
and a nail in 1 minute. In the 1600s, it would
take the blacksmith 210 minutes to complete a
particular job. With advances in technology, the
blacksmith was able to make a horseshoe in 9
minutes and a nail in 40 seconds, and could
complete the same job in 155 minutes. In the
equations below, h represents the number of
horseshoes in the job, and n represents the
number of nails in the job. 12h n 2109h
2n/3 155 How many nails were in the job the
blacksmith completed?
  • 10
  • 15
  • 20
  • 30

19
20
Week 4
MA.912.A.3.14
According to government standards, a 100-gram
piece of ''extra lean'' meat must contain 425 or
fewer calories. A piece of extra lean meat
contains 190 grams of protein and 10 grams of
fat, for a total of 850 calories. A second piece
of meat is the same weight, but it is not extra
lean. This piece of meat contains 180 grams of
protein and 20 grams of fat, but it has a total
of 900 calories. In the equations below, f
represents the number of calories in a gram of
fat, and p represents the number of calories in a
gram of protein. 190p 10f 850180p 20f
900 How many calories are in a gram of protein?
  • 4
  • 5
  • 8
  • 9

20
21
Week 4
MA.912.A.3.14
A chemist prepares a solution by mixing 30 mL of
liquid c with 50 mL of liquid d, and the
resulting solution has a mass of 290 grams. She
then combined 50 mL of liquid c with 40 mL of
liquid d, and gets a solution that has a mass of
310 grams. In the equations below, c represents
the concentration of liquid c, and d represents
the concentration of liquid d.30c 50d
29050c 40d 310 What is the concentration of
liquid c, in grams/mL?
  • 3
  • 4
  • 5
  • 6

21
22
Week 4
MA.912.A.3.14
During a recent campaign, a candidate purchased
two television commercials and one radio
commercial for 29,250 in September. In October,
she spent 62,250 on four television ads and
three radio ads. In the equations below, r
represents the cost of one radio commercial and t
represents the cost of one television
commercial. 2t r 29,2504t 3r
62,250 What is the cost, in dollars, of one
television commercial?
  • 3,750
  • 12,750
  • 16,500
  • 22,550

22
23
Week 5
Online Practice EOC
This is a week student can work on the practice
Algebra EOC Practice Exam. You can get step by
step directions to assign the online practice
test at the link below.
http//connect.manatee.k12.fl.us/p78704027/
23
24
Week 6
MA.912.A.4.1
Which answer choice is equivalent to the
expression below?
24
25
Week 6
MA.912.A.4.1
Which answer choice is equivalent to the
expression below?
25
26
Week 6
MA.912.A.4.1
Which answer choice is equivalent to the
expression below?(2a3b)3
  • 6a6b3
  • 16a9b3
  • 8a6b4
  • 8a9b3

26
27
Week 6
MA.912.A.4.1
What is the value of the following expression
when x 2?
27
28
Week 6
MA.912.A.4.1
What is the value of the following expression
when x 3?(2x)3(3x)-2
28
29
Week 7
MA.912.A.4.2
Which answer choice is equivalent to the product
of the polynomials shown below?(3x 2)(4x - 4)
  • 4(3x2 - 2)
  • 4(3x2 - x - 2)
  • 7x - 2
  • 4(3x - 2)

29
30
Week 7
MA.912.A.4.2
Which of the following expressions is equivalent
to (5x - 3)2?
  • 25x2 - 30x 9
  • 25x2 - 15x 9
  • 25x2 - 15x - 9
  • 55x2 - 9

30
31
Week 7
MA.912.A.4.2
Which answer choice is equivalent to the sum of
the polynomials shown below?(10x2 3x - 6)
(2x2 - 9x - 12)
  • 3(4x2 - 2x 6)
  • 6(2x2 - x - 3)
  • 6(x - 3)
  • 18(x3 - 1)

31
32
Week 7
MA.912.A.4.2
Which answer choice is equivalent to the product
of the polynomials shown below?(8x 3)(2x 1)
  • 16x 3
  • 16x(14x 4)
  • 16x2 14x 3
  • 16x2(14x 4)

32
33
Week 7
MA.912.A.4.2
Which answer choice is equivalent to the sum of
the polynomials shown below?-(5x2 x) (7x
3)
  • 5x2 - 10x
  • -5x2 8x 3
  • -5x2 6x 3
  • 5x2 - 6x - 3

33
34
Week 8
MA.912.A.4.3
Which answer choice shows the expression below,
factored completely?18x2y2 36x3y3 - 27x3y
  • 3x2y(6y 12xy - 9x)
  • 3(6x2y2 12x3y3 - 9x3y)
  • 9x2y(2y 4xy2 - 3x)
  • 9(2x2y2 4x3y3 - 3x3y)

34
35
Week 8
MA.912.A.4.3
Which answer choice shows the expression below,
factored completely?x2 - 2x - 120
  • (x - 12)(x 10)
  • (x 12)(x - 10)
  • (x - 60)(x 2)
  • (x 60)(x - 2)

35
36
Week 8
MA.912.A.4.3
Which answer choice shows the expression below,
factored completely?36x - 100y2x
  • x(6 10y)(6 - 10y)
  • 4x(3 5y)(3 - 5y)
  • x(36 - 100y2)
  • 4x(9 - 25y2)

36
37
Week 8
MA.912.A.4.3
Which answer choice shows the expression below,
factored completely?2x2 x - 28
  • (x - 7)(2x 4)
  • (x 7)(2x - 4)
  • (2x - 7)(x 4)
  • (2x 7)(x - 4)

37
38
Week 8
MA.912.A.4.3
Which answer choice shows the expression below,
factored completely?4a2b - 12ab 5a - 15
  • (4a2b - 12ab)(5a - 15)
  • a(4ab - 12b 5) - 15
  • 4ab(a - 3) 5(a - 3)
  • (4ab 5)(a - 3)

38
39
Week 9
MA.912.A.4.4
Royce wants to divide 2x3 - 10x - 6x2 by 2x.If
x ? 0, which of the following is the correct
result?
  • x4 - 5x2 - 3x3
  • 4x3 - 12x - 8x2
  • x2 - 5 - 3x
  • 8 - 4x

39
40
Week 9
MA.912.A.4.4
Roland divides a trinomial by a monomial, as
shown below. If x ? 0, which of the following
is the correct result?
  • 4x4 12x2 4
  • x4 3x2 4x
  • x3 12x2 16x
  • x3 3x 4

40
41
Week 9
MA.912.A.4.4
Yolanda tries to divide -20x5y20 - 120x10y30
95x20y10 by the monomial -5x5y10.If x ? 0 and y
? 0, which of the following is the correct
result?
  • -25xy2 - 125x2y3 90x4y
  • 4x10y30 24x15y40 - 19x25y20
  • -15xy10 - 115x5y20 90x15y
  • 4y10 24x5y20 - 19x15

41
42
Week 9
MA.912.A.4.4
Rick wants to divide 3x5y2z 27x6y4z2 by
3(xy)2z. If x ? 0, y ? 0, and z ? 0, which of
the following is the correct result?
  • 3x3 9x4y2z
  • x4y 27x5y3z
  • x3 9x4y2z
  • 3x3yz 9x4y2z3

42
43
Week 9
MA.912.A.4.4
Kanesha tries to divide a binomial by a
monomial.If x ? 0, which of the following is
the correct result?
  • 4x 1
  • 20x2 1
  • 20x2
  • 4x

43
44
Week 10
MA.912.A.7.1
Which of the following is the graph of the
function y x2 - 4x - 12?
44
45
Week 10
MA.912.A.7.1
Which of the following equations represents the
graph shown to the right?
  • y -x2 - 6x 55
  • y x2 - 6x 55
  • y -x2 - 6x - 55
  • y x2 - 6x - 55

45
46
Week 10
MA.912.A.7.1
Which of the following equations represents the
graph shown to the right?
  • y 3x2 12x - 36
  • y 2x2 8x - 24
  • y x2 4x - 12
  • y -2x2 - 8x 24

46
47
Week 10
MA.912.A.7.1
Which of the following equations represents the
graph shown below?
  • y -x2
  • y x2
  • y -3x2
  • y 3x2

47
48
Week 10
MA.912.A.7.1
Which of the following is the graph of the
function y 3x2 - 6x - 9?
48
49
Week 11
MA.912.A.7.2
The function below can be used to describe the
motion of a ball thrown through the air.f(x)
-x2 10x - 21 Which of the following shows the
correct factorization of this function for f(x)
0?
  • (x 3)(x 7) 0
  • (x 3)(x - 7) 0
  • (-x 3)(x - 7) 0
  • (x - 3)(x 7) 0

49
50
Week 11
MA.912.A.7.2
Marna wants to find the values of x for which the
function below will have a value of 10.f(x)
x2 x - 20 Which of the following shows the
correct factorization of this function for f(x)
10?
  • (x 5)(x 4) 10
  • (x - 5)(x - 4) 10
  • (x 6)(x - 5) 0
  • (x 5)(x - 6) 0

50
51
Week 11
MA.912.A.7.2
Marly needs to solve the problem shown below by
using the quadratic formula.f(x) x2 7x 1
31 Which of the following shows the quadratic
formula being used correctly to determine the
solutions for this problem?

51
52
Week 11
MA.912.A.7.2
Jim used a quadratic function to solve a problem.
The factored form of the function is shown
below.(2x 3)(3x - 7)What is the positive
solution to the problem? Enter your answer in the
form of a fraction.
52
53
Week 11
MA.912.A.7.2
Julianne used a quadratic function to solve a
problem. The factored form of the function is
shown below.(x - 3)(x - 4) 0What is the sum
of the solutions to the problem?
53
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