AnswersEA Academy Algebra IUnit Test

Unit Test — Unit test Answers

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A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat packing fee of $5 and an amount based on the weight in pounds of the box, $2.25 per pound. Which equation represents the shipping cost as a function of x, the weight in pounds?

A
f(x) = 2.25x + 5
B
f(x) = 5x + 2.25
C
f(x) = 2.25x − 5
D
f(x) = 5x − 2.25
2
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Which equation represents a line that passes through (2, –) and has a slope of 3?

Question illustration
A
y – 2 = 3(x + )
Option A
B
y – 3 = 2(x + )
Option B
C
y + = 3(x – 2)
Option C
D
y + = 2(x – 3)
Option D
3

Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?

A
5x + 3y = 18
B
5x – 3y = 30
C
5x – y = 30
D
5x + y = 18
4

Alejandra correctly wrote the equation y – 3 = (x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

Question illustration
A
y – 6 = 2(x – 10)
B
y – 2 = (x – 10)
Option B
C
y – 3 = (x – 2)
Option C
D
y – 3 = 2(x – 10)
5

Which graph represents a function with direct variation?

A
Option
B
Option
C
Option
D
Option
6

What is the slope of the line represented by the equation f(t)=2t−6?

A
The slope is 2 and the y-intercept is −6.
B
The slope is −6 and the y-intercept is 2.
C
The slope is 2 and the y-intercept is 6.
D
The slope is 6 and the y-intercept is 2.
7

A ramp with a constant incline is made to connect a driveway to a front door. At a point 4 feet from the driveway, the height of the ramp is 12 inches. At a point 6 feet from the driveway, the height of the ramp is 18 inches. What is the rate of change of the ramp’s incline?

A
inch up per foot across
Option A
B
inch up per foot across
Option B
C
2 inches up per foot across
D
3 inches up per foot across
8

Which equation represents the line that passes through (–6, 7) and (–3, 6)?

A
y = –x + 9
Option A
B
y = –x + 5
Option B
C
y = –3x – 11y
D
y = –3x + 25
9

The graph shows the relationship between the volume of a rectangular prism and the volume of a square pyramid with an identical base and height.

Question illustration
A
−3
B
Option
Option B
C
Option
Option C
D
3
10

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 2 when a = –2. Which equation represents this direct variation between a and b?

Question illustration
A
b = –a
B
–b = –a
C
b – a = 0
D
b(–a) = 0
11

Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. Which best describes this function?

A
It is linear because the graph decreases over time.
B
It is linear because there is both an independent and a dependent variable.
C
It is nonlinear because linear functions are increasing functions.
D
It is nonlinear because linear functions increase or decrease at the same rate.
12

A line contains points M(1, 3) and N(5, 0). What is the slope of MN?

A
negative StartFraction 4 Over 3 EndFraction
Option A
B
negative StartFraction 3 Over 4 EndFraction
Option B
C
StartFraction 3 Over 4 EndFraction
Option C
D
StartFraction 4 Over 3 EndFraction
Option D
13

The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table.

Question illustration
A
4.9
Option A
B
9.8
Option B
C
10.2
Option C
D
19.6
Option D
14

The graph represents the cost of a subscription to a newspaper.

Question illustration
A
$1.50
B
$7.50
C
$15.00
D
$30.00
15

Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 5 tickets is $108.00. Which linear function represents c, the total cost, when x tickets are ordered? (A service fee is a single fee applied to the total, no matter the number of tickets purchased).

A
c(x) = 5.50 + 20.50x
B
c(x) = 5.50x + 20.50
C
c(x) = 5.50 + 21.60x
D
c(x) = 5.50x + 21.60
16

Which is the graph of the equation ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
17

What is the y-intercept of the function f(x)=4 – 5x?

A
–5
B
–4
C
4
D
5
18

The table represents a linear function.

Question illustration
A
–3
B
–2
C
3
D
4
19

The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = (x – 1). What is the slope-intercept form of the equation for this line?

Question illustration
A
y = x + 2
Option A
B
y = x – 4
Option B
C
y = x +
Option C
D
y = x –
Option D
20

Which of these values could be the slope of the line? Select two options.

A
–2
B
Option
Option B
C
0
D
Option
Option D
E
3

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