Select the equation that has infinitely many solutions.(1 point)
Responses
3−3x=−3(x−1)
3 minus 3 x is equal to negative 3 times open paren x minus 1 close paren
3x+5=3x−5
3 x plus 5 is equal to 3 x minus 5
4x+1=4(x+1)
4 x plus 1 is equal to 4 times open paren x plus 1 close paren
3x=2x+1
3x=2x+1
Solve the equation and inequality for x(2 points)
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ax+15=44
: Response area
ax−44<15
: Response area
ax+15=44 can be solved by subtracting 15 from both sides:
ax = 44 - 15
ax = 29
Therefore, the solution is x = 29/a.
For ax-44<15, we can solve it by adding 44 to both sides:
ax < 15 + 44
ax < 59
Therefore, the solution is x < 59/a.
Which inequality represents the graph below:
(1 point)
Responses
3x+7>10
3 x plus 7 is greater than 10
−3x−7≥−10
negative 3 x minus 7 is greater than or equal to negative 10
3x−7<−10
3x−7<−10
−3x+7<10
The inequality that represents the graph below is:
−3x+7<10
(negative 3 x plus 7 is less than 10)
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 is less than or equal to 55
x>55
x is greater than 55
x<55
The equality that represents all speeds you can legally drive on the expressway is:
x≤55
(x is less than or equal to 55)
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:
1) You would use an open circle because the inequality symbol is '<', indicating that the value of 7x is strictly greater than 35, but not equal to it.
2) The arrow on the number line would point to the right because this indicates that the values of x that satisfy the inequality are greater than the value of 35.