Answers LCS-Teacher Remediation-MJ Grade 8 Pre-Algebra_Q1Unit Test

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On the way to her babysitting job, Mary rode her bike for the first mile. She stopped at a traffic light and waited a few minutes for the traffic light to turn green. She then walked her bike across the street and up a short steep hill. Finally, she rode the bike at a constant speed for one more mile. If Mary created a graph of her time and distance, which statement describes the part of her graph that would show no change in distance?

Mary used her bike to ride the first mile.

Mary stopped and waited for the traffic light to turn green.

Mary walked her bike across the avenue and up a short hill.

Mary rode her bike at a constant speed for one mile.

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How does this graph change between point D and point G?

The graph increases.

The graph decreases.

The graph increases, then decreases.

The graph remains constant.

The table represents the cost of flowers at the Tigerlily Flower Shop.Cost of FlowersQuantityPrice1$2.002$3.503$5.004$6.505$8.006$9.00Which graph is the best interpretation of this table?

On a coordinate plane, the x-axis is labeled Quantity and the y-axis is labeled price. Points are at (1, 2), (2, 3.5), (3, 5), (4, 6.5), (5, 8), (6, 9).

On a coordinate plane, the x-axis is labeled Quantity and the y-axis is labeled price. Points are at (1, 2), (2, 4), (3, 6), (4, 8), (5, 10), (6, 12).

On a coordinate plane, the x-axis is labeled Quantity and the y-axis is labeled price. A line with positive slope goes through points (2, 4) and (4, 8).

On a coordinate plane, the x-axis is labeled Quantity and the y-axis is labeled price. A curved line with positive slope is on the graph.

The table represents the function . Which value goes in the empty cell?

A line graph in the coordinate plane that has no breaks in it is

a qualitative graph.

a continuous graph.

a discrete graph.

a cosmograph.

The equation c = 6.5h represents the cost, c, of renting a bicycle for h hours. The table below can be used to show the same information.Cost for Renting Bicycles Number of Hours (h)0246Cost (c) If Francesca rents a bicycle for 2 hours and Phil rents a bicycle for 6 hours, how much more does Phil pay?

$13

$26

$39

$52

Four representations of the same data are shown below.Verbal DescriptionShay pays a $4 monthly fee in addition to the data and minutes charges on her cell phone bill, x.Equationy = x + 4TableGraphCell Phone BillWhich two representations are considered to be only partial representations?

the equation and the verbal description

the verbal description and the graph

the table and the equation

the graph and the table

Some states pay $0.05 for each can that is recycled. Which graph represents the amount of money earned, y, by recycling x cans in these states?

A graph titled Recycling Money has cans on the x-axis and dollars on the y-axis. A line goes through points (20, 1) and (40, 2).

A graph titled Recycling Money has cans on the x-axis and dollars on the y-axis. A line goes through points (1, 20) and (2, 40).

A graph titled Recycling Money has cans on the x-axis and dollars on the y-axis. A line goes through points (0, 5) and (1, 6).

A graph titled Recycling Money has cans on the x-axis and dollars on the y-axis. A line goes through points (5, 0) and (6, 1).

Which choice shows a function with a domain of {–4, –2, 2, 4}?

On a coordinate plane, a vertical line is at x = 2.

On a coordinate plane, a line goes through (negative 2, negative 2) and (0, negative 3).

{(–4, 2), ( –2, 1), (2, 0), (4, 5)}

{(1, –4), (0, –2), (2, 2), (6, 4)}

What is the range of the function represented by the graph?

{0, 1, 2, 3}

{1, 2, 3, 4}

1 less-than-or-equal-to y less-than-or-equal-to 4

0 less-than-or-equal-to x less-than-or-equal-to 3

Which statement describes how to determine if a relation given in a table is a function?

If none of the output values are repeated, the relation is a function.

If none of the input values are repeated, the relation is a function.

If any of the input values are equal to the output values, the relation is a function.

If all the output values are paired with the same input value, the relation is a function.

Which table can be created using the equation below? –2 + 4x = y

A 2-column table with 3 rows. Column 1 is labeled x with entries negative 5, 0, 3. Column 2 is labeled y with entries negative 22, negative 2, 10.

A 2-column table with 3 rows. Column 1 is labeled x with entries negative 22, negative 2, 10. Column 2 is labeled y with entries negative 5, 0, 3.

A 2-column table with 3 rows. Column 1 is labeled x with entries negative 5, 0, 3. Column 2 is labeled y with entries negative 18, negative 2, 10.

A 2-column table with 3 rows. Column 1 is labeled x with entries negative 18, negative 2, 10. Column 2 is labeled y with entries negative 5, 0, 3.

Which statement best illustrates using the vertical line test to determine if the graph below is a function of x?

The graph is not a function of x because the line x = 0 intersects the graph at two points.

The graph is a function of x because the line x = 5 does not intersect the graph.

The graph is not a function of x because the line y = 0 intersects the graph at two points.

The graph is a function of x because the line y = 5 does not intersect the graph.

On the way to the mall Miguel rides his skateboard to get to the bus stop. He then waits a few minutes for the bus to come, then rides the bus to the mall. He gets off the bus when it stops at the mall and walks across the parking lot to the closest entrance. Which graph correctly models his travel time and distance?

A graph has time on the x-axis and distance on the y-axis. The graph increases, increases rapidly, is constant, increases, and then decreases to a distance of 0.

A graph has time on the x-axis and distance on the y-axis. The graph increases, increases rapidly, is constant, increases, and then is constant.

A graph has time on the x-axis and distance on the y-axis. The graph increases, is constant, increases, is constant, and then increases slightly.

A graph has time on the x-axis and distance on the y-axis. The graph increases, is constant, increases rapidly, increases, and then increases slowly.

If the relationships below are given in the form (input, output), which pairing always describes a function?

(number of doors in a car, number of cup holders in the car)

(height of a building in feet, height of the building in inches)

(beverage charge on a bill, total meal charge on the bill)

(distance from home during a trip, time elapsed during the trip)

Which situation is modeled by the graph?

the height of a jump rope being used over time

the height of an elevator over time

the height of a commuter airplane over time

the height of a hummingbird at a feeder

Kelly and Greta are asked to write an equation for the scenario below. “One person was able to plant 4 trees in the same amount of time that 5 people working together were able to plant 20 trees.”The girls agree that x represents the number of people working and y represents the number of trees planted. Kelly wrote the equation , and Greta wrote the equation . Which person is correct, and why?

Kelly is correct; each person plants more trees than the person before them.

Kelly is correct; and .

Greta is correct; each person plants 4 more trees than the person before them.

Greta is correct; and .

A graph in visual form that expresses the important characteristics of a situation and does not necessarily have numerical values is

a qualitative graph.

a discrete graph.

a continuous graph.

a cosmograph.

Each time Kristine gets paid, she spends $20 and saves the rest. If the amount Kristine earns is represented by x and the amount she saves is represented by y, which graph models her savings?

A graph titled Kristine's Savings has money earned on the x-axis and money saved on the y-axis. A line goes through points (5, 100) and (10, 200).

A graph titled Kristine's Savings has money earned on the x-axis and money saved on the y-axis. A line goes through points (20, 1) and (40, 2).

A graph titled Kristine's Savings has money earned on the x-axis and money saved on the y-axis. A line goes through points (0, 20) and (10, 30).

A graph titled Kristine's Savings has money earned on the x-axis and money saved on the y-axis. A line goes through points (20, 0) and (25, 5).

Micah sketches the graph below to represent a scenario his teacher gave him.Which scenario could Micah’s graph represent?

Micah’s plant is 1 inch and then grows at a rate of 2 inches per week (where x is the number of weeks), for a total of y inches.

Micah’s plant is 2 inches tall and grows at a rate of 1 inch per week (where x is the number of weeks), for a total of y inches.

Micah’s plant grows 2 inches per week (where x is the number of weeks) and has a starting height of 1 inch, for a total of y inches.

Micah’s plant grows 1 inch per week (where x is the number of weeks) and has a starting height of 1 inch, for a total of y inches.

Jay went to an amusement park. The park charges an entrance fee of $10.50 and $4.50 for every ride. Jay spent $46.50 on entrance fees and rides. Which fuction can be used to find the number of rides he went on?

f (x) = 4.5 x + 10.5

f (x) = 4.5 x

f (x) = 4.5 x minus 10.5

f (x) = negative 4.5 x

Which graph is a function of x?

On a coordinate plane, a vertical line is at x = negative 3.

On a coordinate plane, a v-shaped graph opens up.

On a coordinate plane, a parabola opens to the right.

On a coordinate plane, one curve opens to the left and another curve opens to the right.

Jada fills the bathtub before taking a bath and then allows the water to drain when she is done. The graph below models the number of gallons of water, y, in the bathtub over time, t, in minutes. Is the number of gallons of water in the bathtub a function of time?

Yes because each t value is paired with exactly one number of gallons.

Yes because the number of gallons is bounded between y = 0 and y = 36.

No because each number of gallons is paired with more than one t value.

No because from t = 5 to t = 20 the number of gallons of water is constant.

Carlotta handpaints T-shirts and sells them to her friends. She uses the equations below to determine her costs to produce shirts and the amount of money earned when she sells the shirts.Production Cost: , where c is the total cost and s is the number of shirtsMoney Earned: , where m is the amount of money earned from sales and s is the number of shirts How many shirts must Carlotta sell to make a profit?

Lorraine writes the equation shown.She wants to describe the equation using the term relation and the term function.The equation represents

a relation and a function

a relation but not a function

a function but not a relation

neither a relation nor a function

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