Basic Math Questions and Answers
Math
Basic MathWhat is this decimal rounded to the nearest hundredth?
5 = 5 ÷ 9 = 0.555555555555...
0.5
0.56
Math
Basic MathRead the passage below and choose then choose the best answer to the
question. Answer the question on the basis of what is stated or implied
in these passages.
In most cases little birds lay little eggs. The kiwi is an astonishing
exception to this ruleóit is a smallish bird that lays a big egg. The
kiwi, a flightless bird found in New Zealand, weighs about four
pounds, and its egg weighs, believe it or not, about one pound. That
is one-fourth of the birdís body weight! If an ostrich laid an egg that
was in the same proportion to the ostrich as the kiwi egg is to the
kiwi, an ostrich egg would weigh a whopping seventy-five pounds
instead of the usual three pounds.
Which statement below best describes the organizational method used
in this passage?
description
comparison/contrast
chronological
cause & effect
Math
Basic MathWhich measure is of an angle that is coterminal with a 425° angle?
425-(1,000n), for any integer n
425° -(840n), for any integer n
425+ (960n), for any integer n
425+ (1,440n), for any integer n
Math
Basic MathGiven the function f(x) = 3|x − 2| +6, for what values of x is f(x) = 18?
x= -2, x= -8
x= -2, x=-6
x= -2, x=6
x= -2, x=8
Math
Basic MathP varies directly with the square of
R. When R is 4, P is 56.
Find the value of P when R is 6.
Math
Basic MathAbbey gets paid a flat rate of $10.00 to mow her neighbor's lawn plus an additional $5 per hour to rake the leaves.
The money she earns is represented by the equation m = 5h + 10, where m represents the amount of money she earns, in dollars, and h is the number of hours she rakes leaves for
Which of the following equations can be used to find h, the number of hours she rakes leaves for?
Math
Basic MathRead the sentence.
My sister is quite the chef; she often creates her own meals and recipes that include different vegetables and spices.
Why does the author most likely use the word chef instead of the word cook?
to show how often she prepares meals
to emphasize how creative her meals are
to create a negative view of her recipes
to highlight the number of ingredients in her recipes
Math
Basic MathIf the length of a sea turtle is
directly proportional to its age,
and a 2-year old sea turtle is 3
inches long, how many feet long
is a 50-year old sea turtle?
[?] feet
Give your answer as a decimal. Do not round.
Math
Basic MathIf you want to write a paragraph describing how to change a flat tire on a
car, which pattern would you be most likely to use?
definition
problem/solution
process
comparison and contrast
Math
Basic MathIn how many ways can a person read 3 different books from a collection of 7 books during a one week vacation?
Math
Basic MathHow can we change this fraction
into a decimal?
5/9
Divide the Denominator by the Numerator,
9/5 = 1.8
Divide the Numerator by the Denominator,
5÷9 = 0.5555555555555555555555555...
Math
Basic MathAt noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship B is sailing north at 15 knots. How fast (in knots) is the distance between the ships changing at 7 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)
Math
Basic MathWhich pattern of organization is being used in this passage?
For at least 4,000 years, the wind has been used as an energy source. Unlike fossil
fuel energy (such as diesel oil or gasoline), wind energy is unlimited. Another
difference is that wind energy produces no pollution when it is used to create
electricity. Large windmills or wind turbines capture the wind; the energy from the
turning blades produces electricity. Another distinction is that wind is the fastest
growing energy source in the world.
comparison and contrast
cause and effect
topical/listing
definition
Math
Basic MathAn arithmetic sequence is given below.
-8,-6,-4, -2,0
-8 is the first number in the sequence and n represents the term number. This sequence can be written as an = 2n + m
In this sequence,
Enter the value of m.
Math
Basic MathHow many different four-letter
permutations can be formed
using four letters out of the first
twelve in the alphabet?
Math
Basic MathAn angle whose measure is 92° is in standard position. In which quadrant does the terminal side of the angle fall?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Math
Basic MathCost, Revenue & Profit
For these problems, will represent the number of items and y will represent the money.
The fixed costs for a certain item are $170 per week. The cost to produce each item is $6 per item.
Using this information, what is the cost equation? Give your answer in slope-intercept form:
6x + 170
y =
The retailer intends to sell each item for $21/item.
Using this information, what is the revenue equation? Give your answer in slope-intercept form:
21z
y=
If in this week 16 items are made, and all items are sold in the week, what are the total costs to the
retailer?
Cost = S 166
X
What is the revenue from selling 16 items?
Revenue S 336
=
Finally, what is the profit for this retailer?
Profit $ 170
=
X
Math
Basic MathOn a bicycle, Amy rides for 3 hours and is 14 miles from her house. After riding for 5 hours, she is 22 miles away.
What is Amy's rate over the last 2 hours?
Math
Basic MathAngelo makes x dollars for y hours of
work. Sarah makes the same amount of
money working 1 hour less. Which of
the following expressions represents the
positive difference between the two
people's hourly wage?
Enter a, b, c, d, or e.
Math
Basic MathFind the equation for the
following parabola.
Focus (3, 4)
Directrix y = 2
A. (x-3)² = 2(y-2.5)
B. (x-3)² = 4(y-3)
C. (x-3)² = (y-4)
D. (y-3)² = 4(x-3)
Math
Basic MathIf a car travels 130 miles on
6 gallons of gasoline, how
many miles would it travel
on 18 gallons?
[?] miles
Enter the number that belongs in the green box.
Math
Basic MathFind x if the distance between
points L and M is 15 and point M is
located in the first quadrant..
L = (-6, 2)
M = (x, 2)
Math
Basic MathFor these problems, □ will represent the number of items and y will represent the money.
The fixed costs for a certain item are $170 per week. The cost to produce each item is $6 per item.
Using this information, what is the cost equation? Give your answer in slope-intercept form:
y =
6T-170
The retailer intends to sell each item for $21/item.
Using this information, what is the revenue equation? Give your answer in slope-intercept form:
Y
If in this week 16 items are made, and all items are sold in the week, what are the total costs to the retailer?
Cost = $ 96
What is the revenue from selling 16 items?
Revenue = $ 336
Finally, what is the profit for this retailer?
Profit = $240
-
Math
Basic MathSolve the equation and check your solutions. If there is no solution, say so.
7 - 5/2x = 15/x
Math
Basic MathA bag contains 10 marbles. Four of
them are red, three blue, two white,
and one yellow. A marble is drawn at
random. What is the probability that it
is not blue?
Math
Basic MathIn how many ways can a
president, vice president, and
treasurer be selected for a
club if the club has 40
members?
Math
Basic MathThe tuition costs, C, for a local community college are
modeled by C(h) = 250 + 200h, where h represents the
number of credit hours taken. The local state university
has tuition costs, S, modeled by the function S(h) = 300 +
180h.
How many credit hours will a student have to take for
the two tuition costs to be equal? Round the answer to
the nearest tenth of an hour.
1. 250+200h = 300 + 180h
2. 250 + 200h = 300 + 180h
-180h
-180h
3. 250+ 20h = 300
h =
credit hours
Math
Basic MathLet p, q, and r represent the following simple statements.
p: The temperature is below 35°.
q: We finished eating.
r. We go to the slope.
Write the symbolic statement (q^p)-r in words. If the symbolic statement is given without parentheses, statements before and after the most dominant connective
should be grouped. Translate into English.
Choose the correct sentence below.
OA. If we finished eating and the temperature is not below 35°, then we will not go to the slope.
B. If we have finished eating or the temperature is below 35°, then we go to the slope.
C. If we have finished eating, then the temperature is below 35° and we go to the slope.
D. If we have finished eating and the temperature is below 35°, then we go to the slope.
Math
Basic MathIf a line has an x-intercept at x = -10 and a y-intercept at y = 9, find its equation in the form y = mx + b.
Math
Basic MathThe width of a rectangle is 3
less than its length.
Find the width of the rectangle
if its perimeter is 26 ft.
Math
Basic MathLaura can finish payroll in 3-
hours. It takes Ben 5 hours
to do the same job. If they
work together, how long
should it take them?
Math
Basic MathA red die is tossed and then a green die
is tossed. What is the probability that
the red die shows an even number or
the green die shows an even number?
Make sure your answer is reduced.
Hint: The two events are not mutually exclusive. So
to the find the probability of the union, use:
P(A or B)=P(A) + P(B) - P(A and B)
Math
Basic MathUsing the following values, find the mean, median, mode and midrange.
58, 51, 38, 49, 59, 46, 62
The mean is (Round to the nearest tenth as needed.)
The median is
Select the correct choice below and fill in any answer boxes within your choice.
A. The mode is
(Use a comma to separate answers as needed.)
B. There is no mode.
The midrange is
Math
Basic MathJohn can finish a certain job
in three hours and Chris can
finish it in two hours.
How many hours will it take
them to finish the job if they
work together?
Math
Basic MathSuppose that the probability that your
mail is delivered before 2 pm is.90.
What is the probability that your mail
will be delivered before 2 pm for two
consecutive days? Give your answer as
a decimal.
Math
Basic MathIt takes Destiny 4 hours to file all
the daily paperwork. It takes
Susan 5 hours to file the same
paperwork. If they work together,
how long will it take them?
Math
Basic MathA mother gives birth to a 9 pound baby. Every 4 months, the baby gains 3 pounds. If z is the age of the baby in months, then y is the weight of the baby in pounds. Find an equation of a line in the form y=mx+b that describes the baby's weight.
Math
Basic MathWhat is the vertex of this
function?
f(x) = -4(x - 2)² +9
([?], [])
Hint: Vertex form, y = a(x-h)2 + k, helps us
quickly identify the vertex of a quadratic.
Math
Basic MathGraph n(x) = |x| on the Cartesian plane to the right.
The domain of n(x) is:
The range of n(x) is:
If any of the above do not exist, leave the answer box
blank.
Math
Basic MathThe length of a rectangle is 5
less than twice its width.
Find the perimeter of this
rectangle if its area is 273 yd².
Math
Basic MathSolve the system of equations by the addition method.
x - 2y = -3
-x+6y=-1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is
B. There are infinitely many solutions.
C. There is no solution.
(Simplify your answer. Type an ordered pair.)
Math
Basic MathLet p, q and r represent the following simple statements:
p: I get an A.
q: The play is boring.
r: The stove is hot.
Write the following compound statement in its symbolic form.
If I get an A or the play is not boring, then the stove is hot.
Write the symbolic form of the statement below.
Math
Basic MathThe line graph shows the goals per game average for a sporting series during the years shown. Find the average number of goals per game in 1981.
The average number of goals per game in 1981 was
(Round to the nearest tenth as needed.)
Math
Basic MathIf 3 gallons of paint covers
925 ft², how many gallons
would be needed to cover
2775 ft²?
[?] gallons
Enter the number that belongs in the green box.
Math
Basic MathSelect all the correct answers.
Grey's Labs is testing a new growth inhibitor for a certain type of bacteria. The bacteria naturally grows exponentially at a rate of 4.7% each hour. The lab technicians know that the growth inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. The current sample contains 90 bacteria.
Once a standard tube contains more than 270 bacteria, the sample will stop growing. So, to analyze the effect of the inhibitor over longer spans of time, the lab technicians move the bacteria to larger containers, essentially increasing the container size at a constant rate. This adaptation accommodates 100 more bacteria each hour.
The research team wants to track the number of bacteria over time given these two conditions. Select the two inequalities
they can use to model this situation.
P ≥ 90e0.047t
P ≤ 270 + 100t
P ≤ 270 - 100t
P≤ 0.047e90t
P≤ 90e0.047t
Math
Basic MathBy inspecting the graph of the function, find the absolute maximum and absolute minimum on the given interval.
n(x)=3√x - 1 on [8,27]
Choose the correct graph below.
Math
Basic MathWhat is the minimum number of x-intercepts that a polynomial of degree 6 can have? Explain.
The minimum number of x-intercepts is 0.
(Type a whole number.)
Explain.
With a positive leading coefficient, an .... polynomial will start .... Vand end ... With a negative leading coefficient, an .... polynomial will start ... and end ...