The speed limit sign on the expressway says that the speed limit is 55 mph. Write an equality that represents all speeds you can legally drive on the expressway.(1 point)
Responses
x≥55
x is greater than or equal to 55
x<55
x<55
x≤55
x is less than or equal to 55
x>55
x is greater than 55
are you correct?
No, my previous response was incorrect. The correct equality that represents all speeds you can legally drive on the expressway is:
x ≤ 55
This means that x is less than or equal to 55 mph.
If you were to graph the inequality below on a number line:
35<7x
(2 points)
Would you use an open or a closed circle?
Would your arrow on the number line point to the left or to the right?
To graph the inequality 35 < 7x on a number line, you would use an open circle.
The arrow on the number line would point to the right.
A student solved the following equation using the following steps:
2(2x+2)=4(x+4)
4x+4=4x+4
4=4
Conclusion: Infinitely many solutions
(2 points)
Based on the student's work, the equation was solved
The equation solved correctly would show that it has
solution(s).
Based on the student's work, the equation was not solved correctly. The equation that was obtained, 4 = 4, is a true statement, but it does not provide any information about the value of x. As a result, it cannot be concluded that the equation has infinitely many solutions. The correct conclusion would be that the equation has no unique solution.
Solve the equation for y:
3x+5y=60
(2 points)
Responses
y=60−3x
y is equal to 60 minus 3 x
y=−35x+12
y is equal to negative 3 fifths x plus 12
y=57x5
y is equal to 57 x over 5
y=60+3x5
To solve the equation 3x + 5y = 60 for y, we need to isolate y on one side of the equation.
Step 1: Subtract 3x from both sides of the equation:
3x + 5y - 3x = 60 - 3x
5y = 60 - 3x
Step 2: Divide both sides of the equation by 5:
5y/5 = (60 - 3x)/5
y = (60 - 3x)/5
So the correct equation solving for y is:
y = (60 - 3x)/5