Keystone Algebra I Module 2 Assessment Questions KEY
1.
Ms. Fisher
A.1.2.1.1.1 Analyze a set of data for the existence of a pattern and represent the pattern
algebraically and/or graphically.
+73
+73
Find the difference between the
numbers
4526-73 = 4453 original number
Answer : C
2.
What would you do? Plug in #’s from table into the
equation. Easiest way!
1= 2(1) +1
1= 2+1
1=3 NO
7= 2(3) -1
7=6-1 NO
1
13= 3(5) -2
13= 15-2 YES
ANSWER: C
Answer: C
3.
Rise/run
cost/hours
Find the difference between hours
Find the difference between cost
15-30= -15 cost
2-5= -3 hours
Slope= -5 down
-1 left
15/3 = 5 = slope
Making the y intercept 0
Answer: C
Slope= 5
Y intercept= 5
Use graph to
find y intercept
15
What does graphing the relationship have to do with solving it?
1
2
4.
Again, don’t waste your time trying to figure
this problem out! Use test taking strategies.
The answer is right in front of you! Use the data
points given, plug them into the equations to
solve the problem!
Take each choice, plug in data from table and
see which one works.
Equation
A. Y= x-1 Data x=0 y= -1
-1= 0-1
-1=-1 Yes
To be sure, check one more point
Y= x-1
Data x=4 y=15
15= 4-1
15=3 NO
Answer: C
3
5.
A.1.2.1.1.2 Determine whether a relation is a function, given a set of points or a graph.
Function: Each domain (x)
value is paired w/ exactly
one range (y) value. (Should
pass the vertical line test if
it is a true function. Only
graph that passes vertical
line test is B. Therefore,
graph B is the only graph
that shows y as a function
of x.
Remember- open circle
means does not include!!
Answer: B
6.
(-2, -6) (-2, -2) NO
Each domain value is
supposed to be paired
with exactly one range
value!
4
Answer: B
7.
Answer: D is not a function
because there are several
domain values that have more
than one range value.
If confused:
Refer to Chapter 3 sec 3.2
Pg 172
8.
(3,4) (3,-2) No can’t be a function- not a 1 to 1
relation
Answer: C
5
9.
A1.2.1.1.3 Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or
a table).
Range: y up and down
range
Open circle
means- not
included
Closed circle
means- included
Answer:B
6
10.
Domain: means x values
Answer: D
11.
Remember Domain is x value
So, ( -2, 0, 1) You plug into the equation for x
Take your equation, one at a time plug in each value for x to
find your range value- y.
=-3x²2 + 5
Just from the first x you can tell that your
=-3(-2)² + 5
answer must be B
=-12 +5 = -7
So when x is -2 y is -7
Answer: B
7
12. A1.2.1.2.1 Create, interpret, and/or use the equation, graph, or table of a linear function.
Answer: C
Of course they charge for pizzas!
8
14.
210
-15
195
-15
180
-15
165
-15
150
Final Answer: A
15. Southern Phone Company is promoting a new cell phone service plan: a customer can make up to
500 minutes of calls each month for $39.99. If the number of minutes used in a month exceeds 500, then
the function
c = 0.40(m − 500) + 39.99
describes the monthly charge, c, in dollars in terms of m, the total number of minutes used. Which of the
following statements best describes this function?
A If the total number of minutes used is more than 500, then every minute beyond 500 costs 40 cents.
B Every minute used costs 40 cents, regardless of the total number of minutes used.
C The first 500 minutes used costs 40 cents each, after which there is an additional charge of $39.99.
D If the total number of minutes used is more than 500, then every minute used costs 40 cents.
9
Answer: A
16. A1.2.1.2.2 Translate from one representation of a linear function to another (i.e., graph, table,
and equation).
Remember: Plug data into equation…
Equation 1
Data (2, 10)
Y= 2.5x +5
10= 2.5(2) +5
10= 5+5 Yes
You should ALWAYS check another data point just to be sure.
Same Equation 1 Data (6,25)
Y=2.5x + 5
25= 2.5(6) +5
25=15 + 5 NO
SO EQUATION ONE DOES NOT HOLD TRUE FOR ALL DATA POINTS
You are going to have to try another equation…
Equation 2
Data (2,10)
Y= 3.75x +2.5
10=3.75(2) +2.5
10= 7.5 +2.5
10=10 Yes!
17.
Equation 2 Data (6,25)
25=3.75(6) +2.5
25=25 Yes!
Answer: D
X= classes
You get your 3 free classes and then
you pay $10 per class.
10
Final Answer: B
18.
+45
Again, easiest way: Plug data into the equation you
were given! Always make sure TWO sets of data
work for your equation before you decide that is
the correct answer!
Equation 1
Data t=2 d=90
D=t+45
90= 2 + 45 NO Therefore, F is WRONG
Final Answer: G
Equation 2
Data t=2 d=90
D=45t
90= 45(2) Yes!
Try a second point before you conclude this is the
right answer.
Equation 2 Data t=3 d=135
135= 45(3) Yes!
Therefore, this equation holds true and your
answer is G.
19. A1.2.2.2.1.1 Identify, describe, and/or use constant rates of change.
Answer: B
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20.
Look at the key at the bottom.
Plant 1 is symbolized by the straight line.
Plant 2 is the small dash line.
Plant 3 is symbolized by the big dash
line.
Now, read the graph.
Answer: B
Plant 3 for part a and plant 2 for part b
21. If (2k, k) and (3k, 4k) are two points on the graph of a line and k is not equal to 0, what is the slope of the line?
A3
B 3k
C
1
3
D Not here
Slope formula= m= y2-y1
X2-x1
Set k=1
(2(1), 1) (3(1), 4(1))
(2,1) (3,4)
4-1 = 3/1
3-2
Final Answer: A
12
22.
Parallel means same slope so you can
eliminate a & c from the start.
Go to Hope Rd line and you will see
the slope is 1/3
Now go to the library dot and you can
create the rest of the line just from
knowing it’s slope! From there you
will find the y-intercept!
Final Answer: D
13
23.
Answer: C
Is this a percentage increase or absolute increase? The answers might not be the same.
14
Standard Form: Ax + By + C= 0
24. A.1.2.2.1.3 Write or identify a linear equation when given
Point- Slope Form: y-y1= m (x-x1)
 The graph of a line
Slope intercept form: y= mx+b
 Two points on the line, or
 The slope and a point on the line.
Note: Linear equation may be in point-slpe, standard, and/or slpe-intercept form.
You can see from the graph that the yintercept is 3. So, you can
automatically eliminate A & C. Now
you need to calculate the slope. Use
the formula.
Pick two points on the line. The higher
point is always y2 and x2.
(0,3) (2,7)
(7-3)= 4/2= 2 slope = 2
(2-0)
Y=mx +b
Y=2x +3
Answer: D
15
m=slope b=y intercept
25.
(-1, 4)
M= y2- y1
X2-x1
Y2
=
Y1
4+3= -7/3
-1-2
Point slope form: y-y1= m(x-x1) (-1,4) -7/3
y-4= -7/3 (x+1)
y-4= -7x -7
3 3
+4 +4
need to convert 4 into 3rds
4 (3 )= 12
1 3
3
12 -7 = 5
3 3 3
Y= -7x +5
3 3
(2,-3)
Final Answer: C
16
26.
Again, easiest way is to create a data table and then
plug in the numbers!
X
Y
Hr $
2 18
4
26
Equation 1
18= 4(2) NO
Data 1 (2,18)
Equation 2
Data 1 (2,18)
18= 6.5(2) NO
Equation 3
Data 1 (2,18)
18= 4(2) + 10 YES!!!
Final Answer: C
27. A1.2.2.1.4 Determine the slope and/or y-intercept represented by a linear equation or graph.
Y=mx +b
12y= -x + 180
12 12 12
Slope= -1/12
y intercept = 15
Answer: B
17
28.
4x +2y= 12
-4x
-4x
2y= -4x +12
2 2 2
Y=-2x +6
Final Answer: C
29.
Point slope form: y-y1= m(x-x1)
y+10 = 4 (x-3)
y+10= 4x -12
-10
-10
y=4x-22
Final Answer: A
18
30. A.1.2.3.2.1 Estimate or calculate to make predictions based on a circle, line, bar graph,
measures of central tendency, or other representations.
75-50=25
Answer: C
31.
Mean= Average
Median= Middle Number
Mode= Number that occurs most often
Range= Highest to Lowest #
244, 244, 313, 324, 486, 691
313 + 324=318 MEDIAN before was 313, therefore median rose
2
Old Average 363. New Average with additional number is 383, therefore average rose as
well.
19
Final Answer: A
32.
Bob: 4min/200 words
Ted: 8min/200 words
Answer: A
20
33.
Answer: B
21
34. A1.2.3.2.2 Analyze data, make predictions, and/or answer questions based on displayed data
(box-and-whisker plots, stem-and-leaf plots, scatter plots, measures of central tendency,
or other representations).
Answer: A
Median means middle
number…
6, 12, 13, 14, 17, 20, 23, 24, 24, 27, 28, 28, 28, 30, 37, 38
22
35.
Answer: A
36.
Again, plug in the answers!
72 + 80+ 84+ 92+ X = 84
5
72 + 80+ 84+ 92+ 92 = 420 =84
5
5
23
Answer: C
37. A1.2.3.2.3 Make predictions using the equations or graphs of best-fit of lines of scatter plots.
36
18
24
I figured this one out by taking a
straight edge and drawling the
best fit line.
Answer: C
38.
Answer: C
25