AnswersAlgebra IUnit Test

Unit Test — Unit test Answers

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What is the value of x in the equation ?

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A
StartFraction 2 Over 3 EndFraction left-parenthesis StartFraction one-half EndFraction. x plus 12 right-parenthesis equals left-parenthesis StartFraction one-half EndFraction left-parenthesis StartFraction one-third EndFraction x plus 14 right-parenthesis minus 3.
Option A
B
StartFraction one-half EndFraction left-parenthesis n minus 4 right-parenthesis minus 3 equals 3 minus left-parenthesis 2 n plus 3 right-parenthesis.
Option B
C
2
D
13
2
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The program suggests maintaining a consistent intensity for the first 3 visits, gradually increasing intensity over the subsequent 3 visits, followed by a decrease in intensity for the next 3 visits, before repeating the pattern. Which of the following options represent the possible intensities for Amber's exercise during the fourth, fifth, and sixth visits? Select three options.

A
63%, 63%, 63%
B
66%, 69%, 72%
C
66%, 62%, 58%
D
63%, 65%, 67%
E
67%, 72%, 77%
3

The formula to convert °F to °C is C = (F – 32).Convert 50°C to °F.

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A
10°F
B
20°F
C
122°F
D
132°F
4

Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below.4(x – 1) – x = 3(x + 5) – 11 4x – 4 – x = 3x + 15 – 113x – 4 = 3x + 4

A
The equation has one solution: x = 0.
B
The equation has one solution: x = 8.
C
The equation has no solution.
D
The equation has infinite solutions.
5

Fiona is serving iced tea and lemonade at a picnic. She has only 44 glasses in which to serve the drinks. If x represents the number of glasses of iced tea and y represents the number of glasses of lemonade, which equation represents the number of glasses of ice tea she can serve?

A
x minus y equals 44
Option A
B
44 plus y equals x
Option B
C
y minus x equals 44
Option C
D
x equals 44 minus y
Option D
6

Deepak wrote out the steps to his solution of the equation – 3x – 5 + 4x = –. Which step has an incorrect instruction?

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A
Step 1
B
Step 2
C
Step 3
D
Step 4
7

A store sells notebooks for $3 each and does not charge sales tax. If x represents the number of notebooks Adele buys and y represents the total cost of the notebooks she buys, which best describes the values of x and y?

A
The value of x can be any real number, and y will be a real number.
B
The value of x can be any real number greater than or equal to 0, and y will be a real number greater than or equal to 0.
C
The value of x can be any integer, and y will be an integer.
D
The value of x can be any integer greater than or equal to 0, and y will be an integer greater than or equal to 0.
8

What is the solution to the linear equation?6k + 10.5 = 3k + 12

A
k = 0.5
B
k = 2
C
k = 7.3
D
k = 9
9

Fiona solved the equation shown. – (6x – 3) = –

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A
Simplify by combining like terms.
B
Simplify by using addition property of equality.
C
Simplify by using the multiplication property of equality.
D
Simplify by using the division property of equality.
10

Solve the inequality.2(4x – 3) ≥ –3(3x) + 5x?

A
x ≥ 0.5
B
x ≥ 2
C
(–∞, 0.5]
D
(–∞, 2]
11

Solve the equation.y + 3 = –y + 9

A
y = 1
B
y = 3
C
y = 6
D
y = 9
12

A graph shows an x- and y-axis. The data line is in the shape of a "vee." The begins above the x-axis and to the left of the y-axis, extends below the x-axis to a point on the y-axis, and ascends above the x-axis to the right of the y-axis.

Question illustration
A
As x increases, y decreases.
B
As x increases, y increases.
C
As x increases, y increases and then decreases.
D
As x increases, y decreases and then increases.
13

Three ounces of cinnamon cost $2.40. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound?

A
$12.80
B
$31.20
C
$38.40
D
$115.20
14

What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

A
–12 – 20x ≤ –6x + 9
B
–12 – 20x ≥ –6x + 9
C
–12 + 20x ≤ –6x + 9
D
–12 + 20x ≥ –6x + 9
15

The area, a, of an ellipse can be determined using the formula a = πxy, where x and y are half the lengths of the largest and smallest diameters of the ellipse.

A
y = a · πx
B
y = a + (πx)
C
y = a – πx
D
y = a ÷ (πx)
16

Which graph shows the equation c = 10+ 3t, where c is the total cost of going to the carnival and t is the number of $3 tickets purchased?

A
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0, 10) and ends at point (6, 27).
Option A
B
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 10), (1, 14), (2, 16), (3, 19), (4, 22), (5, 25), (6, 28).
Option B
C
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0, 10) and ends around point (6, 60).
Option C
D
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 3), (1, 13), (2, 24), (3, 34), (4, 43), (5, 54).
Option D
17

The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle?

Question illustration
A
7 in.
B
8 in.
C
9 in.
D
10 in.
18

Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of seconds Lola needs to sign all 96 invitations?

A
508 seconds
B
510 seconds
C
509 seconds
D
508.8 seconds
19

The graph below represents the distance a pilot is from the home airport during a period of time.

Question illustration
A
zero
B
constant
C
decreasing
D
increasing
20

Solve the equation.–9x + 1 = –x + 17

A
x = –8
B
x = –2
C
x = 2
D
x = 8

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