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WorksheetsCollege Math Semester 1 Test
Total questions: 87
Worksheet time: 5hrs 35mins
Name
Class
Date
1.
m=
a)
1/2
b)
1/3
c)
3
d)
2
2.
Consider the equation:
y=-x+4
Identify the slope and
y-intercept.
y=-x+4
Identify the slope and
y-intercept.
a)
m=4, b=-x
b)
m=-x, b=4
c)
m=1, b=4
d)
m=-1, b=4
3.
Determine the slope between
(4,2) and (-3,5).
(4,2) and (-3,5).
a)
3/1
b)
-7/3
c)
3/7
d)
-3/7
4.
What number completes the table?
a)
63
b)
56
c)
70
d)
77
5.
Find the equation of the line in slope-intercept form.
a)
y = - 1/4x - 3
b)
y = 1/3x + 3
c)
y = - 1/4x + 2
d)
y = 1/3x -3
6.
Which equation represents this graph?
a)
y=−37x+4
b)
y=−4x+2
c)
y=73x+4
d)
y=−2x−4
7.
Write the equation of the line.
a)
y=−31x−2
b)
y=31x−2
c)
y=3x−2
d)
y=−3x−2
8.
What is the x- intercept of the line?
a)
(1, 0)
b)
(2, 0)
c)
( -1, 0)
d)
(-2, 0)
9.
What is the y-intercept of the line?
a)
(0,1/2)
b)
(0,1)
c)
(0, -1/2)
d)
(0, -1)
10.
What is the y-intercept?
a)
(0,7)
b)
(0, 0)
c)
(0,1)
d)
(0, 2)
11.
Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)
a)
(8,10)
b)
8, 3, 0, 4, 9
c)
(0,8)
d)
(9,0)
12.
Which could be the graph of the equation y = 1/3x - 2?
a)
b)
c)
d)
13.
Which graph best represents the equation y = -3x + 4?
a)
b)
c)
d)
14.
Which graph represents y = 3x?
a)
b)
c)
15.
This line has a __________ slope.
a)
Negative
b)
Positive
c)
Undefined
d)
No Slope
16.
This lines has a __________ slope.
a)
Undefined
b)
Positive
c)
Negative
d)
No Slope
17.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
18.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
19.
How many solutions does this system of equations have?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
d)
Two Solutions
20.
If a system of linear equations has one solution, what does this mean about the two lines?
a)
Parallel lines
b)
the same line
c)
Intersecting lines
21.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
∅
22.
Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7
y = -x + 5
y = 2x - 7
a)
yes
b)
no
23.
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?
a)
3x + 2y = 315
2x + 4y = 450
2x + 4y = 450
b)
3x + 2y = 450
2x + 4y = 315
2x + 4y = 315
c)
2x + 2y = 315
3x + 4y = 450
3x + 4y = 450
24.
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?
a)
y = 9.65 + x
y = 8.40 + x
y = 8.40 + x
b)
y = 9.65x + 43
y = 8.40x + 58
y = 8.40x + 58
c)
y =9.65x
y = 8.40x
y = 8.40x
d)
y = 9.65x - 43
y = 8.40x - 58
y = 8.40x - 58
25.
This graph matches which inequality?
a)
y > 3
b)
y ≥ 3
c)
x≥3
d)
x>3
26.
Which point below is NOT part of the solution set?
a)
(0, -2)
b)
(1, 1)
c)
(3, 3)
d)
(2, 10)
27.
Which point below is NOT part of the solution set?
a)
(3, 4)
b)
(0, 4)
c)
(-2, 6)
d)
(6, 2)
28.
Is (0, 0) a solution to this inequality?
a)
Yes
b)
No
29.
Which of the following inequalities matches the graph?
a)
y ≤ 3/4x + 5
b)
y ≥ 3/4x + 5
c)
y < 3/4x + 5
d)
y > 3/4x + 5
30.
Which of the following inequalities matches the graph?
a)
x > -2
b)
x < -2
c)
y > -2
d)
y < -2
31.
Which of the following inequalities matches the graph?
a)
x ≤ -4
b)
x ≥ -4
c)
y ≤ -4
d)
y ≥ -4
32.
Aleris is sending a fancy organic fruit basket to her grandma for her birthday. Apples cost $3 and oranges cost $2. Aleris can spend no more than $24 on the gift.
Write an inequality that describes the situation.
Let x = # of apples
Let y = # of oranges
Write an inequality that describes the situation.
Let x = # of apples
Let y = # of oranges
a)
3x + 2y < 24
b)
3x + 2y > 24
c)
3x + 2y ≤ 24
d)
3x + 2y ≥ 24
33.
Given the system, determine a solution.
a)
No solution
b)
Infinite solutions
c)
(-5, 5)
d)
(5, -5)
34.
Yumi is determining the seating arrangement for her big dinner party. Circular tables will seat 8 guests and rectangular tables can seat 10 guests. Together, all of the tables must seat at least 162 guests.
Write an inequality that describes the situation.
Let x = # of circular tables
Let y = # of rectangular tables
Write an inequality that describes the situation.
Let x = # of circular tables
Let y = # of rectangular tables
a)
8x + 10y < 162
b)
8x + 10y > 162
c)
8x + 10y ≤ 162
d)
8x + 10y ≥ 162
35.
Determine the ordered pair that IS a solution.
a)
(2, 2)
b)
(2, 4)
c)
(3, 2)
d)
(-3, 2)
36.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
37.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
38.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
39.
a)
Function
b)
Not a Function
40.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
41.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
42.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
43.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
44.
Does the table represent a function?
a)
Yes, there is a repeated x-value.
b)
No, there aren't any repeated y-values.
c)
Yes, there are repeated y-values.
d)
No, there is a repeated x-value.
45.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
46.
When is this function increasing?
a)
−2.5 < x < 2.5
b)
0 < x < 5
c)
0 < x < 55
d)
−5 < x < 0
47.
Over what interval is this function constant?
a)
-5 < x < ∞
b)
-3 < x < 4
c)
4 < x < ∞
d)
-5
48.
Over which interval of time is this person returning home?
a)
8:00 < x < 9:00
b)
9:00 < x < 9:30
c)
9:30 < x < 11:00
d)
12:00 < x < 13:00
49.
How many relative maximums does this function have?
a)
1
b)
2
c)
3
d)
4
50.
How many relative minimums does this function have?
a)
1
b)
2
c)
3
d)
4
51.
What is the absolute maximum?
a)
None
b)
All real numbers
c)
6.5
d)
1
52.
Which of the following situations
corresponds to this graph?
corresponds to this graph?
a)
A bicyclist accelerates from a stop, travels at
a constant speed, then slows to a stop.
b)
A car accelerates from a stop,
travels at a constant speed, slows,
and then travels at a slower speed.
travels at a constant speed, slows,
and then travels at a slower speed.
53.
What are all the x-intercepts?
a)
(-2.55, 0), (2.55, 0)
b)
(-3,0), (-2,0), (2,0), (3,0)
c)
(0, 36)
d)
(-∞,∞)
54.
Which of the following intervals has the largest average rate of change?
a)
[13,14]
b)
[13, 17]
c)
[16, 17]
d)
[16, 19]
55.
What was the average rate of change in the population from 1900 to 1990?
a)
175 million people/year
b)
1.94 million people/year
c)
2.13 million people/year
d)
-1 million people/year
56.
What is the average rate of change of [1, 5]?
a)
-0.65
b)
-0.75
c)
3.75
d)
4
57.
What is Mrs. Gordon's rate from 0 to 2 seconds?
a)
2.5 feet per second
b)
.4 feet per second
c)
5 feet per second
d)
.2 feet per second
58.
Which of the following graphs has the largest average rate of change from -1 to 2?
a)
b)
c)
d)
59.
What is the equation of the absolute value function?
a)
f(x)= |x+4|
b)
f(x)= |x-4|
c)
f(x)= |x| + 4
d)
f(x)= |x| - 4
60.
Which function defines the graph?
a)
f(x) = |x - 4| + 3
b)
f(x) = |x - 3| + 4
c)
f(x) = |-x + 4| + 3
d)
f(x) = |x + 4| + 3
61.
What is the equation of the graph below?
a)
f(x) = I x + 2 I
b)
f(x) = I x + 2 I +2
c)
f(x) = I x - 2 I +2
d)
f(x) = I x - 2 I
62.
What is the vertex of the absolute value function?
a)
(4, 0)
b)
(0, 4)
c)
(-infinity, infinity)
d)
[4, infinity)
63.
Determine the transformation
a)
left 3, up 2
b)
right 3, up 2
c)
left 3, down 2
d)
right 3, down 2
64.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
65.
Identify the equation of the graph.
a)
y = |x-3|-2
b)
y = -|x-3|-2
c)
y = |x+3|-2
d)
y = |x+3|+2
66.
Evaluate the function when x = 4
a)
f(4) = 2(4) - 5 = 3
b)
f(4) = 2(4) - 5 = -1
c)
f(4) = ½(4) + 1 = 3
d)
f(4) = 4
67.
What is the value of f(0)?
a)
-2
b)
2
c)
4
d)
0
68.
Using the pictured graph, what is f(-3)?
a)
-3
b)
-1
c)
1
d)
3
69.
given f(x) = x−13x+2 , What is f(1)?
a)
-5
b)
5
c)
0
d)
f(1) is undefined
70.
What is g(-2) if:
a)
-7
b)
7
c)
1
d)
-1
71.
a)
x11
b)
x18
c)
x−7
d)
x7
72.
a)
3x−1y−5
b)
3x2y
c)
3xy5
d)
−3x3y7
73.
a)
−30x11
b)
−30x18
c)
−x11
d)
−x18
74.
a)
25x22
b)
10x22
c)
25x13
d)
−25x22
75.
(x8)(x−5)
a)
x−40
b)
x−13
c)
x13
d)
x3
76.
a)
k7
b)
k3
c)
1/k10
d)
k10
77.
a)
b6
b)
b7
c)
b1
d)
b−6
78.
a)
d2
b)
d80
c)
d810
d)
d18
79.
Simplify
(2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
80.
Simplify
(3x3y5)4
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
81.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
82.
Is the pictured graph growth, decay, or linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
83.
Is this exponential growth or decay?
a)
Growth
b)
Decay
84.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
85.
A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
a)
14327
b)
4309
c)
839
d)
7680
86.
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
a)
9766
b)
9006
c)
9765
d)
5433
87.
Since January 1980, the population of the city of Brownville has grown according to the mathematical model y=720,500(1.022)x, where x is the number of years since January 1980. What is the was the population of Brownville in 1980?
a)
102.2 people
b)
720,500 people
c)
1.022 people
d)
1022 people
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