Algebra and Geometry I - 2020 - Homework 75
1) Use subs tu on to solve for
:
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2) Use subs tu on to solve for
:
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3) Use subs tu on to solve for
:
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4) Use subs tu on to solve for
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:
Algebra and Geometry I - 2020 - Homework 75
5) Consider the equa ons:
Is this pair of equa ons consistent, inconsistent, or dependent?
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6) Solve by graphing:
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7) Solve by graphing:
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8) If you throw two dice, what is the probability of rolling a sum that is less than ?
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Algebra and Geometry I - 2020 - Homework 75
9) You throw two dice. What is the probability of rolling a
on at least one of the dice?
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10) You and your friend enrolled at a witchcra school. In the school, every new student will be
randomly assigned to a House by a magic hat. There are House Giraffindor, Hippopuff,
Ra leclaw, and Skunkerin. What is the probability that you will be in House Hippopuff and your
friend will be in House Ra leclaw?
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Algebra and Geometry I - 2020 - Homework 75
11) In the figure below, there is a histogram of the weight (in grams) of fruits and veggies sold at a
grocery store.
a. How many people bought less than
grams of fruits and veggies?
b. How many people bought fruits and veggies at the store?
c. What frac on of people bought
grams or more of fruits and veggies?
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12) In Mr. Johnson's math class, the grades are calculated using a weighted average. Homeworks
make
, quizzes
and tests
of the final grade.
Sarah's homework average is
, her quiz average is
and her test average is
. What is
Sarah's grade in Mr. Johnson's class?
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Algebra and Geometry I - 2020 - Homework 75
13) A thermometer recorded the following outside temperatures (in degrees Celsius):
, , , , , , , , , , , , ,
Find the range, median, and mode of the temperatures.
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14) Factor:
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15) Factor:
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16) Simplify:
Write the answer in descending powers of the variable.
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Algebra and Geometry I - 2020 - Homework 75
17) Simplify:
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18) Simplify:
Assume only non-zero values of all denominators.
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Algebra and Geometry I - 2020 - Homework 75
19) Graph the solu on:
,
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20) Consider the sets
,
, and
defined as follows:
ℤ
Are the following statements true or false?
a.
b.
c.
d.
e.
f. There is a number that is a member to all three sets.
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ℝ