A student wants to purchase some new school supplies. He wants to buy a calculator that costs $24 and some notebooks for school. Each notebook costs $2. The student only has $37 to spend.
Let n represent the number of notebooks that he buys.
Which inequality describes this scenario?
(1 point)
Responses
37<2n+24
37<2n+24
37≥2n+24
37 is greater than or equal to 2 n plus 24
24n+2≥37
24 n plus 2 is greater than or equal to 37
37>2n+24
37>2n+24
7 of 177 of 17 Items
Question
Solve for b in the following formula: A=1/2(a+b)
(1 point)
Responses
b=1/2A−a
b is equal to 1 half cap A minus A
b=1/2A+a
b is equal to 1 half cap A plus A
b=2A−a
b is equal to 2 cap A minus A
b=2A+a
b=2A−a
2(x−3) + 3x = 19
Step 1: 2x − 6 + 3x = 19
Step2: (2x + 3x) −6 = 19
Step 3: 5x − 6 = 19
Step 4: 5x −6 + 6 = 19 + 6
Step 5: 5x = 25
Step 6: x = 5
What property justifies going from step 3 to step 4?
The property that justifies going from step 3 to step 4 is the Addition Property of Equality. This property states that if we have an equation and we add the same number to both sides of the equation, the equation remains true. In this case, adding 6 to both sides of the equation allows us to isolate the variable on one side and simplify the other side of the equation.
A student solved the equation: x+2(x+1)=17
Step 1: x+2x+2=17
Step 2: 3x+2=17
Step 3: 3x=15
Step 4: x=45
(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Identify the property used to arrive at Step 1: Response area
What Step includes a mistake from the previous step? Response area
What should have been the correct answer for x?
The property used to arrive at Step 1 is the Distributive Property, which states that for any numbers a, b, and c, a(b + c) = ab + ac.
The mistake is in Step 4. The correct equation is 3x = 15, not 3x = 25.
The correct answer for x is x = 5.
Grandma is removing weeds from her garden. She estimates that there are 250 weeds in the garden at the moment, and she can remove weeds at a rate of 5 per minute. At this rate how many minutes (m) will it take her to only have 30 weeds remaining in the garden?(3 points)
Equation:
Solution:
Meaning of the solution in words:
Equation: 250 - 5m = 30
Solution:
250 - 5m = 30
Subtract 250 from both sides:
-5m = 30 - 250
-5m = -220
Divide both sides by -5 to solve for m:
m = -220 / -5
m = 44
Meaning of the solution in words: It will take Grandma 44 minutes to only have 30 weeds remaining in the garden.
The Celsius to Fahrenheit formula: F=95C+32
Solve this formula for C. Check all answers that are true.
(2 points)
Responses
The next step from F - 32 = 9/5 C, could be to multiply both sides by 5
The next step from F - 32 = 9/5 C, could be to multiply both sides by 5
First step is to multiply by 9 on each side.
First step is to multiply by 9 on each side.
First step is to add 32 to both sides.
First step is to add 32 to both sides.
Solution: 5/9F - 32 = C
Solution: 5/9F - 32 = C
To solve this equation for C, you would have to distribute at some point.
The correct responses are:
First step is to multiply by 9 on each side.
Solution: 5/9F - 32 = C
To solve this equation for C, you would have to distribute at some point.
The next step from F - 32 = 9/5 C, could be to multiply both sides by 5
14 of 1714 of 17 Items
Question
Izzie is trying to solve this inequality: 3(t+1)−4t≥−5
After she solves it, she shows it to you, and she asks you if she did it correctly.
This is the work she completed:
3t+3−4t≥−5
−t+3≥−5
−t≥−8
t≥8
(2 points)
True False
Izzie made no mistakes in solving this inequality
True – Izzie made no mistakes in solving this inequality
False – Izzie made no mistakes in solving this inequality
Izzie made a mistake going from step 3 to step 4
True – Izzie made a mistake going from step 3 to step 4
False – Izzie made a mistake going from step 3 to step 4
Izzie made a mistake going from step 1 to step 2
True – Izzie made a mistake going from step 1 to step 2
False – Izzie made a mistake going from step 1 to step 2
Izzie forgot to change the inequality symbol to be t≤8
True – Izzie forgot to change the inequality symbol to be t is less than or equal to 8
False – Izzie forgot to change the inequality symbol to be t is less than or equal to 8
Izzie should have had the answer t≤−8
True – Izzie should have had the answer t is less than or equal to negative 8
False – Izzie should have had the answer t is less than or equal to negative 8
The correct response is:
False – Izzie made no mistakes in solving this inequality
zzie is trying to solve this inequality: 3(t+1)−4t≥−5
After she solves it, she shows it to you, and she asks you if she did it correctly.
This is the work she completed:
3t+3−4t≥−5
−t+3≥−5
−t≥−8
t≥8
Izzie made no mistakes in solving this inequality T/F
Izzie made a mistake going from step 3 to step 4 T/F
Izzie made a mistake going from step 1 to step 2 T/F
Izzie forgot to change the inequality symbol to be t≤8 T/F
Izzie should have had the answer t≤−8 T/F
The correct responses are:
Izzie made no mistakes in solving this inequality: True
Izzie made a mistake going from step 3 to step 4: False
Izzie made a mistake going from step 1 to step 2: False
Izzie forgot to change the inequality symbol to be t≤8: False
Izzie should have had the answer t≤−8: False
zzie is trying to solve this inequality: 3(t+1)−4t≥−5
After she solves it, she shows it to you, and she asks you if she did it correctly.
This is the work she completed:
3t+3−4t≥−5
−t+3≥−5
−t≥−8
t≥8
Izzie made no mistakes in solving this inequality T/F
Izzie made a mistake going from step 3 to step 4 T/F
Izzie made a mistake going from step 1 to step 2 T/F
Izzie forgot to change the inequality symbol to be t≤8 T/F
Izzie should have had the answer t≤−8 T/F
The correct responses are:
Izzie made no mistakes in solving this inequality: False
Izzie made a mistake going from step 3 to step 4: True
Izzie made a mistake going from step 1 to step 2: False
Izzie forgot to change the inequality symbol to be t≤8: False
Izzie should have had the answer t≤−8: False