Quantitative Reasoning — Cumulative exam Answers

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The table shows how an elevator 500 feet above the ground is descending at a steady rate.

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A
h(t) = 5t + 500
B
h(t) = 5t – 500
C
h(t) = –5t + 500
D
h(t) = –5t – 500
2
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The table shows the total cost of purchasing x same-priced items and a catalog.

Question illustration
A
$4, the cost per item
B
$4, the cost of the catalog
C
$6, the cost per item
D
$6, the cost of the catalog
3

Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?

A
7x + 2y = –1
B
7x + 2y = 1
C
14x + 4y = –1
D
14x + 4y = 1
4

On a coordinate plane, a v-shaped line crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and the x-axis at (2, 0).

Question illustration
A
all real numbers
B
all real numbers greater than or equal to –2
C
all real numbers greater than or equal to –5
D
all real numbers greater than or equal to 0
5

Ray was in charge of filling the soccer team’s water jug for practice. At the beginning of practice he filled the jug. Halfway through practice the team took a water break. After the break Ray refilled the jug so the players could have water after practice. At the end of practice Ray drained the jug. Which graph could represent the level of the water in the jug during and after practice?

A
Option
B
Option
C
Option
D
Option
6

A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees.

Question illustration
A
The rate of change between 1 and 2 trees is different than the rate of change between 2 and 3 trees.
B
The rate of change between 1 and 2 trees is different than the rate of change between 1 and 3 trees.
C
The rate of change between 2 and 3 trees is different than the rate of change between 3 and 4 trees.
D
The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.
7

Becky created a graph to represent her distance away from home one afternoon. She left home and ran to the park, met some friends and stayed at the park, and then walked back home using the same route. Which graph could Becky have created?

A
Option
B
Option
C
Option
D
Option
8

A mapping diagram shows a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negative 4), (0, negative 4), (negative 2, 2), (negative 2, negative 1), (1, negative 3), (3, 7).

Question illustration
A
(–3, –4)
B
(–2, –1)
C
(1, –3)
D
(3, 7)
9

The total cost for a bucket of popcorn and 4 movie tickets is $56. The total cost for the same size bucket of popcorn and 6 movie tickets is $80. The cost of a bucket of popcorn is $8. Which equation represents the relationship between y, the total cost of the popcorn and movie tickets, and x, the number of movie tickets that are purchased?

A
y = 12x + 8
B
y = 12x − 8
C
y = 14x + 8
D
y = 14x − 8
10

The graphs below shows some properties of regular polygons.

Question illustration
A
0
B
1
C
2
D
3
11

The graph below represents the relationship between the number of days a book is overdue and the library fine charged.

Question illustration
A
10
B
14
C
18
D
22
12

The help desk is keeping track of the number of minutes the average caller spends on hold.

Question illustration
A
week 1 to week 3
B
week 1 to week 4
C
week 4 to week 6
D
week 3 to week 5
13

Livia eats a chicken drumstick with 11 grams of protein. She also eats x cheese sticks, each with 7 grams of protein. The table shows y , the total number of grams of protein that Livia will consume if she eats x cheese sticks. Livia may eat only part of a cheese stick, so x may not always be a whole number.

Question illustration
A
all real numbers
B
all real numbers greater than or equal to 0
C
all real numbers greater than or equal to 11
D
all integers greater than or equal to 11
14

The slope-intercept form of the equation of a line that passes through point (–2, –13) is y = 5x – 3. What is the point-slope form of the equation for this line?

A
y – 13 = 5(x – 2)
B
y + 13 = 5(x + 2)
C
y – 2 = 5(x – 13)
D
y + 2 = 5(x + 13)
15

Which table represents a linear function?

A
Option
B
Option
C
Option
D
Option
16

Marty and Ethan both wrote a function, but in different ways.Marty Ethan

Question illustration
A
Marty’s with a slope of 2/3
B
Ethan’s with a slope of 2/5
C
Marty’s with a slope of 1/3
D
Ethan’s with a slope of 1/5
17

Tim explained a function in words and Paul wrote an equation.TimThe amount of money in a savings account increases at a rate of $225 per month. After eight months, the bank account has $4,580 in it. Pauly−1,400=56(x+26)Whose function has the smaller y-intercept?

A
Tim’s with a y-intercept of $2,700
B
Paul’s with a y-intercept of $2,856
C
Paul’s with a y-intercept of $2,800
D
Tim’s with a y-intercept of $2,780
18

Which functions have an additive rate of change of 3? Select two options.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
E
Option
Option E
19

Which table represents a linear function?

A
Option
B
Option
C
Option
D
Option
20

The ice skating rink charges an hourly fee for skating and $3 to rent skates for the day. Gillian rented skates and skated for 3 hours and was charged $21. Which equation represents the cost, c(x), of ice skating as a function of x, the number of hours of skating?

A
c(x) = 3x + 3
B
c(x) = 6x + 3
C
c(x) = 7x + 3
D
c(x) = 8x + 3

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