Multiple Choice
|x| + 5 = 18
(1 point)
Responses
5 or –5
5 or –5
13 or –13
13 or –13
18 or –18
18 or –18
23 or –23
17 answers
5 or -5
|y + 4| < 1
(1 point)
Responses
−5 < y < –3
−5 < y < –3
–3 < y < 5
–3 < y < 5
–4 < y < 1
–4 < y < 1
1 < y < 4
1 < y < 4
(1 point)
Responses
−5 < y < –3
−5 < y < –3
–3 < y < 5
–3 < y < 5
–4 < y < 1
–4 < y < 1
1 < y < 4
1 < y < 4
To solve the inequality |y + 4| < 1, we need to consider two cases:
1. When y + 4 is positive:
In this case, the absolute value term |y + 4| simplifies to y + 4. So, we have the inequality:
y + 4 < 1
Subtracting 4 from both sides of the inequality, we get:
y < -3
2. When y + 4 is negative:
In this case, the absolute value term |y + 4| simplifies to -(y + 4), which is equal to -y - 4. So, we have the inequality:
-y - 4 < 1
Adding y to both sides of the inequality and then subtracting 1 from both sides, we get:
-y < 5
y > -5 (when we multiply both sides by -1, we must reverse the inequality sign)
Combining the solutions from both cases, we have:
y < -3 or y > -5
Therefore, the correct answer is:
-5 < y < -3
1. When y + 4 is positive:
In this case, the absolute value term |y + 4| simplifies to y + 4. So, we have the inequality:
y + 4 < 1
Subtracting 4 from both sides of the inequality, we get:
y < -3
2. When y + 4 is negative:
In this case, the absolute value term |y + 4| simplifies to -(y + 4), which is equal to -y - 4. So, we have the inequality:
-y - 4 < 1
Adding y to both sides of the inequality and then subtracting 1 from both sides, we get:
-y < 5
y > -5 (when we multiply both sides by -1, we must reverse the inequality sign)
Combining the solutions from both cases, we have:
y < -3 or y > -5
Therefore, the correct answer is:
-5 < y < -3
2t| − 5 = 7
(1 point)
Responses
t = 1 or −1
t = 1 or −1
t = 6 or −6
t = 6 or −6
t = 10 or −10
t = 10 or −10
t = 12 or −12
(1 point)
Responses
t = 1 or −1
t = 1 or −1
t = 6 or −6
t = 6 or −6
t = 10 or −10
t = 10 or −10
t = 12 or −12
To solve the equation 2t| - 5 = 7, we need to isolate the absolute value term on one side. Here are the steps:
1. Add 5 to both sides of the equation:
2t| - 5 + 5 = 7 + 5
Simplifying the equation:
2t| = 12
2. Divide both sides of the equation by 2:
(2t|)/2 = 12/2
Simplifying the equation:
t| = 6
3. We know that the absolute value of any number is always positive. So, the equation t| = 6 implies that t could be either positive 6 or negative 6.
Therefore, the correct answer is:
t = 6 or -6.
1. Add 5 to both sides of the equation:
2t| - 5 + 5 = 7 + 5
Simplifying the equation:
2t| = 12
2. Divide both sides of the equation by 2:
(2t|)/2 = 12/2
Simplifying the equation:
t| = 6
3. We know that the absolute value of any number is always positive. So, the equation t| = 6 implies that t could be either positive 6 or negative 6.
Therefore, the correct answer is:
t = 6 or -6.
|a| −three-fourths = −five-eighths
(1 point)
Responses
one-eighth or –one-eighth
Image with alt text: one-eighth or – Image with alt text: one-eighth
seven-eighthsor –seven-eighths
Image with alt text: seven-eighths or – Image with alt text: seven-eighths
1three-eighths or –1three-eighths
1 Image with alt text: three-eighths or –1 Image with alt text: three-eighths
no solution
(1 point)
Responses
one-eighth or –one-eighth
Image with alt text: one-eighth or – Image with alt text: one-eighth
seven-eighthsor –seven-eighths
Image with alt text: seven-eighths or – Image with alt text: seven-eighths
1three-eighths or –1three-eighths
1 Image with alt text: three-eighths or –1 Image with alt text: three-eighths
no solution
To solve the equation |a| - three-fourths = - five-eighths, we need to isolate the absolute value term on one side. Here are the steps:
1. Add three-fourths to both sides of the equation:
|a| - three-fourths + three-fourths = - five-eighths + three-fourths
Simplifying the equation:
|a| = - five-eighths + three-fourths
2. To simplify the right side of the equation, we need to find a common denominator for the fractions - five-eighths and three-fourths. The common denominator is 8:
|a| = - (5/8) + (3/4)
Now, let's convert - (5/8) to have the same denominator:
|a| = - (5/8) * (2/2) + (3/4)
= - (10/16) + (12/16)
|a| = - (10/16) + (12/16)
= (12/16) - (10/16)
= (12 - 10)/16
= 2/16
= 1/8
3. We know that the absolute value of any number is always positive. So, the equation |a| = 1/8 implies that a could be either positive 1/8 or negative 1/8.
Therefore, the correct answer is:
a = 1/8 or -1/8.
1. Add three-fourths to both sides of the equation:
|a| - three-fourths + three-fourths = - five-eighths + three-fourths
Simplifying the equation:
|a| = - five-eighths + three-fourths
2. To simplify the right side of the equation, we need to find a common denominator for the fractions - five-eighths and three-fourths. The common denominator is 8:
|a| = - (5/8) + (3/4)
Now, let's convert - (5/8) to have the same denominator:
|a| = - (5/8) * (2/2) + (3/4)
= - (10/16) + (12/16)
|a| = - (10/16) + (12/16)
= (12/16) - (10/16)
= (12 - 10)/16
= 2/16
= 1/8
3. We know that the absolute value of any number is always positive. So, the equation |a| = 1/8 implies that a could be either positive 1/8 or negative 1/8.
Therefore, the correct answer is:
a = 1/8 or -1/8.
A high school credit is
(1 point)
Responses
when a teacher offers extra points for additional optional work.
when a teacher offers extra points for additional optional work.
a unit awarded for passing courses.
a unit awarded for passing courses.
when you earn a grade by taking a test instead of going through the course.
when you earn a grade by taking a test instead of going through the course.
when you replace a poor grade on a quiz or test with a retake opportunity.
(1 point)
Responses
when a teacher offers extra points for additional optional work.
when a teacher offers extra points for additional optional work.
a unit awarded for passing courses.
a unit awarded for passing courses.
when you earn a grade by taking a test instead of going through the course.
when you earn a grade by taking a test instead of going through the course.
when you replace a poor grade on a quiz or test with a retake opportunity.
A high school credit is a unit awarded for passing courses.
True or false: If you take a course and do not pass it, you still get the credit.
(1 point)
Responses
True
True
False
(1 point)
Responses
True
True
False
False
What is the total number of credits you will need to graduate with a diploma?
(1 point)
BoldItalicUnderlineBullet listNumbered listUndoRedo
(1 point)
BoldItalicUnderlineBullet listNumbered listUndoRedo
The total number of credits required to graduate with a diploma can vary depending on the specific requirements of the school or educational institution. Typically, it ranges from 20 to 25 credits. It's best to consult your school's curriculum or graduation requirements to determine the exact number of credits needed for graduation.
4 of 5 4 of 5 Items
Question
How many credits does it take to be classified as a tenth-grade student?
(1 point)
BoldItalicUnderlineBullet listNumbered listUndo
Question
How many credits does it take to be classified as a tenth-grade student?
(1 point)
BoldItalicUnderlineBullet listNumbered listUndo
The number of credits required to be classified as a tenth-grade student can vary depending on the educational system and school district. In general, most schools require around 5 to 7 credits to be considered a tenth-grade student. However, it is important to check with your specific school or school district to determine the exact credit requirements for tenth grade.
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Question
How many credits does it take to be classified as an eleventh-grade student?
(1 point)
Question
How many credits does it take to be classified as an eleventh-grade student?
(1 point)
The number of credits required to be classified as an eleventh-grade student can vary depending on the educational system and school district. In general, most schools require around 10 to 12 credits to be considered an eleventh-grade student. However, it is important to check with your specific school or school district to determine the exact credit requirements for eleventh grade.
1 answer