Use PEMDAS to simplify the expressions. Which sign would make this statement true?
6−14⋅28−2
______34⋅4⋅2−11
(1 point)
Responses
>
is greater than
<
<
=
is equal to
≥
The sign that would make the statement true is "<".
Which value for b would make this inequality true? −32.5−6b≥48.5
(1 point)
Responses
-12.5
-12.5
-12
-12
-13
-13
-13.5
The value for b that would make the inequality true is -13.5.
Which of the following equations has an answer of x=−3
?(1 point)
Responses
4x+8=4
4 x plus 8 is equal to 4
4x−8=−4
4 x minus 8 is equal to negative 4
4x−8=4
4 x minus 8 is equal to 4
4x+8=−4
The equation that has an answer of x = -3 is: 4x + 8 = -4.
Find the solution to −2≤2x+1−4<1
(1 point)
Responses
−52≤x<−1
−52≤x<−1
12≤x<2
12≤x<2
−12≤x<2
−12≤x<2
52≤x<−1
The solution to the inequality is -12 ≤ x < 2.
Solve the equation 9d+3−2d=3(3+d)
(1 point)
Responses
d=32
d is equal to 3 halves
d=45
d is equal to 4 fifths
d=52
d is equal to 5 halves
d=43
To solve the equation 9d + 3 - 2d = 3(3 + d), we can simplify it step by step:
9d + 3 - 2d = 3(3 + d)
Combine like terms on the left side:
(9d - 2d) + 3 = 3(3 + d)
7d + 3 = 3(3 + d)
Distribute on the right side:
7d + 3 = 9 + 3d
Subtract 3d from both sides:
7d - 3d + 3 = 9
4d + 3 = 9
Subtract 3 from both sides:
4d = 6
Divide both sides by 4:
d = 6/4
Simplify:
d = 3/2
Therefore, the solution to the equation is d = 3/2.
Find the solution −12g+18>−5g+53
(1 point)
Responses
g>−5
g is greater than negative 5
g<−5
g<−5
g<71−17
g<71−17
g>71−17