Multiple Choice Identify the
choice that best completes the statement or answers the question.
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1.
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Complete this table of values for the relation .
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2.
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Make a table of values for the relation for x = 1, 2, 3,
and 4.
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3.
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Make a table of values for the relation for x = 1, 2, 3,
and 4.
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4.
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Describe the relationship between the variables x and y in this
graph. Graph of
a. | When x increases by 1, y decreases by 12. | b. | When x
increases by 1, y decreases by 2. | c. | When x increases by 1, y
increases by 2. | d. | When x increases by 2, y increases by
12. |
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5.
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Which relations have graphs that are lines going up to the right?
a. | ii and iv | b. | i and iii | c. | ii | d. | i, ii, and
iv |
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6.
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Which relations have graphs that are lines going down to the right?
a. | ii and iv | b. | i and iii | c. | iii | d. | i, iii, and
iv |
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Short Answer
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7.
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The equation of a linear relation is . What is the value of y when
x = 2?
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8.
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Iris has $240 in the bank and she withdraws $25 every week. An equation for
this relation is , where c represents the amount of money, in
dollars, in Iris’ account and w represents the number of weeks. How much does Iris
have in her account after 4 weeks?
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9.
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This table of values is for the linear relation with equation , where
b is a constant. Find the value of b.
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10.
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Graph the relation for integer values of x from 0 to 5. Describe the
relationship between the variables x and y in the graph.
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11.
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Graph the relation for integer values of x from -4 to 4.
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12.
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The price of a medium pizza is $15, plus $3 for each topping. An equation
for this relation is , where t represents the number of toppings and
c represents the cost of the pizza in dollars. a) Complete this table of values for the
relation.
Number of Toppings, t | 0 | 2 | 4 | 6 | 8 | Cost, c
($) | | | | | | | | | | | |
b) Find the cost of a pizza with 8
toppings.
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Problem
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13.
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This table of values is for the linear relation with equation , where
k and p are constants. Find the values of k and p. Show your
method.
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14.
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Barb makes and sells calendars. The cost of making a batch of calendars is
$1050 and Barb can sell each calendar for $7. If s represent the number of calendars sold
and p represents Barb’s profit in dollars, an equation for this relation is . a) How many calendars
does Barb have to sell to cover the cost of making a batch of
calendars? b) What is Barb’s profit if she sells 180 of the
batch of calendars? Show your work.
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15.
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a) Graph both
relations on the same coordinate axes.
i)
ii) b) Find the ordered
pair on the graph that are in both relations.
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16.
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Alison is making sandwiches for a party. She estimates 5 sandwiches per person,
plus 60 extras. An equation for this relation is , where p represents the number of
people and t represents the total number of sandwiches made. a) Make a table of values for p = 0,
10, 20, 30 , 40, and 50. b) Graph the
relation. c) How many sandwiches are required for 100
people?
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