A student claims that graph below represents the solutions to the inequality: −4<x
What was the student's mistake?
(1 point)
Responses
The student should have filled in the point at -4 to show the solution x could be equal to -4
The student should have filled in the point at -4 to show the solution x could be equal to -4
The student did x is less than -4, when the variable is on the other side; -4 is less than x so x is greater than -4
The student did x is less than -4, when the variable is on the other side; -4 is less than x so x is greater than -4
The student should have multiplied by a negative and switched the direction of the arrow on the graph to go right instead of left
The student should have multiplied by a negative and switched the direction of the arrow on the graph to go right instead of left
The student did not make a mistake; this is the correct graph of the inequality
The correct answer is: The student did x is less than -4, when the variable is on the other side; -4 is less than x so x is greater than -4.
A student solves the following equation:
Problem: 2(x−3)+3x=19
Step 1: 2x−6+3x=19
Step 2: (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?
(1 point)
Responses
Addition Property of Equality
Addition Property of Equality
Commutative Property of Addition
Commutative Property of Addition
Substitution Property
Substitution Property
Distributive Property
Distributive Property
Combine Like Terms
The correct answer is: Addition Property of Equality.
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 made from the previous step? Response area
What should have been the correct answer for x ? Response area
Step 1: Addition Property of Multiplication
Step 2: There is no mistake made from the previous step
Step 3: x should be equal to 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 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 - 5x) = 30
Solution:
Step 1: Start with the initial amount of weeds in the garden, 250.
Step 2: Subtract 5x, where x represents the number of minutes elapsed.
Step 3: Set the resulting equation equal to 30, the desired number of remaining weeds.
Step 4: Solve for x, which represents the number of minutes it will take to reach 30 weeds remaining.
Meaning of the solution in words: It will take Grandma x minutes to remove enough weeds from the garden so that only 30 remain.
250-5m=30
That is correct, thank you for providing the equation.
To solve the equation 250 - 5m = 30, we can follow these steps:
Step 1: Subtract 250 from both sides of the equation to isolate -5m:
250 - 250 - 5m = 30 - 250
-5m = -220
Step 2: Divide both sides of the equation by -5 to solve for m:
-5m / -5 = -220 / -5
m = 44
Therefore, 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.
(4 points)
Responses
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.
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
The next step from F - 32 = 9/5 C, could be to divide both sides by 5
The next step from F - 32 = 9/5 C, could be to divide both sides by 5
Solution: 5/9F - 32 = C
Solution: 5/9F - 32 = C
To solve this equation for C, you would have to distribute at some point.