AnswersFL-1200330-Algebra 2 CRModeling with Exponential and Logarithmic Equations

Piecewise Defined Functions Answers

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A student showed the steps below while solving the inequality by graphing.Step 1:Write a system of equations: Step 2: Graph the two equations:Step 3:Identify the values of x for which :x = 3 or x = 5Step 4:Write the solution in interval notation:What is the first step in which the student made an error?

Question illustration
A
Step 1, because the student should have written a compound statement with “and”
B
Step 2, because the student should have graphed the inequalities
Option B
C
Step 3, because the values for x for which also include values between 3 and 5
Option C
D
Step 4, because the solution is one continuous interval
2
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A cyclist rides at an average speed of 31 miles per hour. The cyclist’s speed, s, can differ from the average by as much as 8 miles per hour. The absolute value inequality represents this situation. If the compound inequality and also represents this situation, what is the value of x in the compound inequality?

Question illustration
A
–8
B
–8 or 8
C
8
D
8 and –8
3

What is another way to write the absolute value inequality ?

Question illustration
A
mc002-2.jpg
Option A
B
mc002-3.jpg
Option B
C
or
Option C
D
or
Option D
4

Which inequality is equivalent to ?

Question illustration
A
–9 > x – 4 < 9
B
–9 < x – 4 < 9
C
x – 4 < –9 or x – 4 < 9
D
x – 4 > –9 or x – 4 < 9
5

The solution to an absolute value inequality is shown on the graph below.What is another way to show the solution?

Question illustration
A
x > –3 or x < 2
B
mc009-2.jpg
Option B
C
[–3, 2]
D
(–3, 2)
6

Which compound inequality is equivalent to for all real numbers a, b, and c, where ?

Question illustration
A
mc006-3.jpg
Option A
B
mc006-4.jpg
Option B
C
or
Option C
D
or
Option D
7

Which compound inequality is equivalent to the absolute value inequality ?

Question illustration
A
–6 > b and b > 6
B
b > –6 or b < 6
C
–6 6
D
b 6
8

Aaron solved an inequality and then graphed the solution as shown below. Which inequality did Aaron solve?

Question illustration
A
mc017-2.jpg
Option A
B
mc017-3.jpg
Option B
C
mc017-4.jpg
Option C
D
mc017-5.jpg
Option D
9

Contessa is solving an absolute value inequality. She writes the compound inequality as her first step. Which inequality is Contessa solving?

Question illustration
A
mc005-2.jpg
Option A
B
mc005-3.jpg
Option B
C
mc005-4.jpg
Option C
D
mc005-5.jpg
Option D
10

What is the solution to the inequality ?

Question illustration
A
–7 < x < –1
B
1 < x < 7
C
x < –7 or x < –1
D
x > 1 or x < 7

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