AnswersFL-1200340-Algebra 2 HonorsSolving One-Variable Equations with Systems

Solving One-Variable Equations with Systems — Unit test Answers

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Brandi is downloading music for her MP3 player. Albums cost $10 each, and singles cost $1 each. She wants to purchase at least 5 singles but wants to spend no more than $25 total. If Brandi purchases x albums and y singles, which of the following is a possible combination of albums and singles that Brandi could purchase and stay within her guidelines?

Question illustration
A
5 albums and 2 singles
B
2 albums and 5 singles
C
2 albums and 10 singles
D
10 albums and 2 singles
2
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Fuaad solved an absolute value inequality and expressed the solution as . What is another way to show Fuaad’s solution?

Question illustration
A
mc008-2.jpg
Option A
B
(–12, 7]
C
mc008-3.jpg
Option C
D
mc008-4.jpg
Option D
3

Harlon wrote the equation to find the area of a rectangle that has a length of and a width of 18. He solved for x and got Which of the following is an equivalent equation for x?

Question illustration
A
x = plus-or-minus StartRoot StartFraction uppercase A minus 18 Over 18 EndFraction EndRoot
Option A
B
x = plus-or-minus StartRoot StartFraction uppercase A + 18 Over 18 EndFraction EndRoot
Option B
C
x = plus-or-minus StartRoot uppercase A minus 36 EndRoot
Option C
D
x = plus-or-minus StartRoot uppercase A + 36 EndRoot
Option D
4

A water tank has 22 gallons of water. It begins to receive 26 gallons per hour for a number of hours. If the tank needs to fill to at least 516 gallons, which of the following is the minimum number of hours the tank should continue filling?

A
5.2
B
19
C
20.7
D
23
5

Brian is solving an equation where both sides are quadratic expressions. He sets the expressions equal to y. Then he graphs the system finding that the two graphs share a common vertex, but one graph opens upward and the other opens downward. How should Brian interpret this outcome?

A
There is exactly one intersection point.
B
There are exactly two intersection points.
C
There are exactly three intersection points.
D
There are infinitely many intersection points.
6

The formula to determine energy is . What is the formula solved for v?

Question illustration
A
v = plus-or-minus StartRoot StartFraction m Over 2 uppercase E EndFraction EndRoot
Option A
B
v = 2 uppercase E minus m
Option B
C
v = plus-or-minus StartRoot 2 uppercase E minus m EndRoot
Option C
D
v = plus-or-minus StartRoot StartFraction 2 uppercase E Over m EndFraction EndRoot
Option D
7

Which is the graph of reflected across the x-axis, translated 3 units left, 4 units up, and dilated by a factor of 4?

Question illustration
A
mc026-2.jpg
Option A
B
mc026-3.jpg
Option B
C
mc026-4.jpg
Option C
D
mc026-5.jpg
Option D
8

Which system of equations is consistent and dependent?

A
mc014-1.jpg
Option A
B
mc014-2.jpg
Option B
C
mc014-3.jpg
Option C
D
mc014-4.jpg
Option D
9

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

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

Celo used the simple interest formula to calculate the interest he earned on his savings last month. Which equation is equivalent to the simple interest formula?

Question illustration
A
uppercase P = StartFraction uppercase A Over 1 + r t EndFraction
Option A
B
uppercase P = StartFraction 1 + r t Over uppercase A EndFraction
Option B
C
uppercase P = uppercase A minus (1 + r t)
Option C
D
uppercase P = uppercase A + (1 + r t)
Option D
11

Which of the following is the graph of f(x) = 3|x – 4| + 1?

A
mc017-1.jpg
Option A
B
mc017-2.jpg
Option B
C
mc017-3.jpg
Option C
D
mc017-4.jpg
Option D
12

A cell phone carrier offers two plans for text messaging. Plan A costs $20 per month plus $0.05 per text. Plan B costs $10 per month plus $0.10 per text. For how many text messages per month are the plans the same cost?

A
20
B
30
C
200
D
300
13

Which statement is true about ?

Question illustration
A
The graph of f(x) has a vertex of (–3, 2).
B
The graph of f(x) is a horizontal compression of the graph of the parent function.
C
The graph of f(x) opens downward.
D
The graph of f(x) has range of f(x) –2.
Option D
14

Given the function f(x) = –5|x + 1| + 3, for what values of x is f(x) = –12?

A
x = –2, x = –4
B
x = –2, x = 4
C
x = 2, x = –4
D
x = 2, x = 4
15

Which graph shows all the values that satisfy

Question illustration
A
A number line goes from negative 10 to positive 10. An open circle appears at positive 7. The number line is shaded from positive 7 toward positive 10.
Option A
B
A number line goes from negative 10 to positive 10. An open circle appears at positive 7. The number line is shaded from positive 7 toward negative 10.
Option B
C
A number line goes from negative 10 to positive 10. An open circle appears at negative 7. The number line is shaded from negative 7 toward negative 10.
Option C
D
A number line goes from negative 10 to positive 10. An open circle appears at negative 7. The number line is shaded from negative 7 toward positive 10.
Option D

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