AnswersWHS Pre-Algebra - MA3119 A-CRTopic Test

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A botanist uses the representations below to show the heights in inches, h, of different plants over a period of time, t.Plant ATime in weeks, t6080100120Height in inches, h90120150180Plant BIf the growth patterns continue, how much taller is the tallest plant than the shortest plant at 120 weeks of growth?

Question illustration
1
180 inches
2
200 inches
2
270 inches
2
280 inches
2
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Which statement correctly describes the slope of the linear function that is represented by the data in the table?xy8–88–4808488

A
The slope is positive.
B
The slope is negative.
C
The slope is zero.
D
There is no slope.
3

The two tables below show the amount of tip, y, included on a bill charging x dollars. Which compares the slopes of the lines created by the tables?

Question illustration
A
The slope of the line for Restaurant B is times greater than the slope of the line for Restaurant A.
Option A
B
The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
C
The slope of the line for Restaurant B is 5 times greater than the slope of the line for Restaurant A.
D
The slope of the line for Restaurant B is 10 times greater than the slope of the line for Restaurant A.
4

Richard and Gloria ran a 10-kilometer race. Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line. The distances of Richard and Gloria past the start line as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Whose time was faster, and by how much?Richard’s Distance Past the Start LineTime (minutes)510152025Distance (kilometers)2.83.44.04.65.2

Question illustration
A
Gloria’s time was 0.5 minutes faster.
B
Richard’s time was 0.5 minutes faster.
C
Gloria’s time was 2.5 minutes faster.
D
Richard’s time was 2.5 minutes faster.
5

The table of values shown below represents a linear function. Which of these points could also be an ordered pair in the table, and why?x036912y37111519

A
(18, 27), because the rate of change of the function is
Option A
B
(18, 27), because the rate of change of the function is
Option B
C
(27, 18), because the rate of change of the function is
Option C
D
(27, 18), because the rate of change of the function is
Option D
6

There are 16 tablespoons in one cup. Which table correctly relates the number of cups to the number of tablespoons?

A
A 2-column table with 4 rows. Column 1 is labeled cups with entries 1, 2, 4, 8. Column 2 is labeled tablespoons with entries 16, 32, 64, 128.
Option A
B
A 2-column table with 4 rows. Column 1 is labeled cups with entries 16, 32, 64, 128. Column 2 is labeled tablespoons with entries 1, 2, 4, 8.
Option B
C
A 2-column table with 4 rows. Column 1 is labeled cups with entries 32, 48, 80, 144. Column 2 is labeled tablespoons with entries 16, 32, 64, 128.
Option C
D
A 2-column table with 4 rows. Column 1 is labeled cups with entries 16, 32, 64, 128. Column 2 is labeled tablespoons with entries 32, 48, 80, 144.
Option D
7

Which pair of points have equal x-coordinates?

Question illustration
A
points Q and R
B
points Q and T
C
points R and S
D
points S and T
8

What is the slope of the line on the graph below?

Question illustration
A
One-fifth
Option A
B
One-third
Option B
C
3
D
5
9

Removing which point from the coordinate plane would make the graph a function of x?

Question illustration
A
(–4, 3)
B
(–2, 1)
C
(0, 4)
D
(1, 1)
10

The chart below lists the original and sale prices of items at a clothing store.Clothing PricesOriginal priceSale price$7.99$5.59$10.99$7.69$12.99$9.09$15.99$11.19$24.99$17.49$29.99$20.99Which statement best describes why the sale price is a function of the original price?

A
As the original price increases, the sale price also increases.
B
The sale price is always less than the original price.
C
For every original price, there is exactly one sale price.
D
The sales price is never less than zero.
11

Which explains whether or not the graph represents a direct variation?

Question illustration
A
The graph has a constant of variation of 3, so it represents a direct variation.
B
The graph has a slope of 3, so it represents a direct variation.
C
The graph has a positive slope, so it does not represent a direct variation.
D
The graph does not begin at the origin, so it does not represent a direct variation.
12

What is the slope, m, and y-intercept for the line that is plotted on the grid below?

Question illustration
A
m = , (0, –2)
Option A
B
m = , (0, 4)
Option B
C
m = 2, (0, –2)
D
m = 2, (0, 4)
13

The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the veterinarian gives a 30-pound dog milligram of the medicine, which equation relates the weight, w, and the dosage, d?

Question illustration
A
d = StartFraction 1 Over 50 EndFraction w
Option A
B
d = three-fifths w
Option B
C
d = 18 w
Option C
D
d = 50 w
Option D
14

Marisol attempted to determine the slope of a line based on the two points shown in the table below.xy–14310Step 1: (–1, 4) and (3, 10)Step 2: Step 3: Which statement best explains Marisol’s error?

Question illustration
A
Marisol computed .
Option A
B
Marisol computed .
Option B
C
Marisol computed .
Option C
D
Marisol computed .
Option D
15

A teacher has a 2-gallon (32-cup) container of juice. She gives each student cup of juice. Which equation represents the amount of juice that remains, y, after x students are served?

Question illustration
A
y = 32 x minus one-half
Option A
B
y = one-half x minus 32
Option B
C
y = negative one-half x + 32
Option C
D
y = negative 32 x + one-half
Option D
16

Jalen is computing the slope of the line on the graph below. Step 1: (–4, 0) and (2, 3)Step 2: Step 3: Step 4: The slope is 2.Which statement describes Jalen’s error?

Question illustration
A
Jalen computed the ratio of change in x to change in y.
B
Jalen used the ordered pairs in the wrong order.
C
Jalen made a computational error.
D
Jalen used an ordered pair that is not on the line.
17

Which graph or equation represents a nonproportional relationship? ABCy 0.375xD

Question illustration
A
A
B
B
C
C
D
D
18

The table of values below represents a linear function and shows Marco’s progress as he is pumping gas into his car. What is the output for the initial value?Gas in Marco’s CarSeconds Spent Pumping Gas012243648Gallons of Gas in Car357911

A
0 gallons
B
2 gallons
C
3 gallons
D
6 gallons
19

Mrs. Jacobson asked her students to write a word problem that describes the graph below.Which word problem accurately describes the graph?

Question illustration
A
Jamie has $8, and she pays $2 per day to ride the bus.
B
Melinda has $4 and earns $2 allowance per day doing chores.
C
Carrina has $8, and she earns $2 per day babysitting.
D
Louise has $4, and she pays $2 per day for school lunch.
20

A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally. Which statement best compares the slopes of the two pieces of equipment?

A
Because , the slope of the climbing equipment at the gym is greater.
Option A
B
Because , the slope of the climbing equipment at the playground is greater.
Option B
C
Because , the slope of the climbing equipment at the gym is greater.
Option C
D
Because , the slope of the climbing equipment at the playground is greater.
Option D

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