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WorksheetsLiberal Arts Unit 1 Test
Total questions: 50
Worksheet time: 25mins
(2x2y4)3
2x6y12
2x5y7
8x6y12
8x5y7
A 78 gram sample of Uranium loses half of its mass each year. What is the exponential equation?
y =78(0.5)x
y = 78(1.5)x
y = 78(2)x
Since January 1980, the population of the city of Brownsville 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 percentage increase of the population annually?
720,500%
102.2%
2.2%
22%
Tell whether the ordered pair is a solution to the equation.
-5x +2y = 4; (4, 8)
yes
no
If you are looking at a line graph that represents an equation, where are all the solutions found?
on the entire graph
above the graphed line
below the graphed line
on the graphed line
Which of the following vocabulary is the same thing as a set of ordered pairs?
coordinate point
dependent variable
independent variable
output variable
Choose the best option for the answer.
Are the following data a function?
(1, 2), (2, 4), (3, 6), (4, 8), (5, 10)
Yes, they are a function because all the coordinate points are different.
No, because all the x-values are different.
Yes, because the x-values do not repeat.
No, because I see numbers appear more than once.
The ___-axis is vertical in the coordinate plane.
x
y
z
none of the others
If you were to plot the point (4, -12), what would be the correct method?
up 4, left 12
right 4, up 12
down 4, left 12
right 4, down 12
The axes divide the coordinate plane into four sections called ______.
ordered pairs
origins
quadrants
coordinate plane
In the coordinate point (2, 7) the 2 represents ________.
y
origin
x
point
Which quadrant contains the point (2, 5)?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
In Quadrant IV, the x-value is always ______ and the y-value is always ______.
positive, negative
negative, negative
negative, positive
positive, positive
Solve for x and y.
y = 2x + 1
y = 4x - 1
(1, 3)
(-1, -3)
(-1, 3)
(3, 1)
What does the x represent in this situation?
Manny's Music Rental charges a fee of $40 plus $25 per month to rent a saxophone. Sid's Saxophones charges $25 plus $30 per month to rent the same saxophone.
y = 25x + 40
y = 30x + 25
price of saxophone
rental fee
total cost
number of months
The ordered pair that satisfies all equations in the system is _______.
system of equations
function
graph
solution of a system
Is the graph linear, exponential, or neither?
linear
exponential
neither
Is this graph a function?
yes
no
Which point is located in the second quadrant?
A
B
C
D
This system has _____ solutions.
0
1
2
infinitely many
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?
1.5x + 0.5y = 78.5
x + y = 87
1.5x + 0.5y = 78.5
1.5x + 0.5y = 87
x + y = 78.5
1.5x + 0.5y = 87
x + y = 78.5
x + y = 87
A solution of a system of equations will make _____ equation(s) true, when x and y are plugged in.
the first
the second
both
neither
Which method of solving would be the most efficient to solve the following system of equations?
2x - 5y = -6
-2x - 7y = 14
graphing
substitution
elimination
Is this exponential growth or decay?
growth
decay
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
y = 5000(1 - 0.30)x
y = 30(5000)x
y = 5000(1 + 0.30)x
y = 5000xx
Daniel's Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be in 8 years?
$23,219.72
$136.73
$51,710.94
$16,710.94
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
y = 15(35)x
y = 15(1.35)x
y = 15(0.35)x
y = 35(1.15)x
Change 6.75% to a decimal.
67.5
0.675
675
0.0675
The initial deposit of investment is called ______.
interest
principal
savings
capital gain
Semi-annually means how many times per year?
4
2
1
6
Write an algebraic expression that answer the question using n for Dan's age now.
What was Dan's age 3 years ago?
n + 3
n - 3
3 - n
3n
Write an algebraic expression for
the difference of 12 and s
12 + s
12 - s
12 ÷ s
12s
Evaluate r - p when p = 41 and r = 21
21
81
−41
41
If a system of equations has no solution, what does the graph look like?
intersecting lines
parallel lines
skew lines
intersecting lines
What is the solution?
(1, -1)
(-1, 1)
(0, -2)
(-, 1)
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 3 hair dyes takes 450 minutes. Which system of equations represents the situation?
3x + 2y = 315
2x + 4y = 450
3x + 2y = 450
2x + 4y = 315
2x + 2y = 315
3x + 4y = 450
Solve the system given:
3x - y = 7
2x + y = 3
(-1, 2)
(5, 4)
(4, 5)
(2, -1)
You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?
V = 30,000(1.05)x
V = 30,000(1.5)51
V = 30,000(1.05)51
V = 30,000(0.95)51
Evaluate 6u2 for u = 5.
900
60
75
150
Evaluate (6u)2 for u = 5.
900
60
75
150
Evaluate 2(3x -1)2 for x = 4
242
676
484
338
Simplify 8(2x - 3) - 6x
10x - 24
22x + 24
22x - 24
10x + 24
Simplify -(5y - 6) + 4(3 + 5y)
25y + 18
15y + 18
15y - 6
25y - 6
Valerie earns $12.50 per hour and worked 17 hours last week. How much money did she earn?
addition
subtraction
multiplication
division
The water level of Lake Texoma was 27 feet. Due to a recent drought, it decreased 4.5 feet. What is the water level of Lake Texoma?
addition
subtraction
multiplication
division
The quotient of a number and 3 is 9. What is the number?
addition
subtraction
multiplication
division
What type of function is y = 7(5/4)x?
exponential growth
exponential decay
linear
none of the others
James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.
70(2)35
70(2)5
2(70)5
5(70)2
The attendance at the art museum at the New Year's opening was 250 people. The attendance has been increasing at a rate of 3% each month. How many people will attend by the end of a year?
356
265
5825
1329
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
y = 5000(0.7)x
y = 30(5000)x
y = 5000(1.3)x
y = 5000xx
