(1) Is the equation true false or open?
9p + 8 = 10p + 7
A. open;there is a variable *****
B. true;the expressions are all the same for all values of the variiables
C. false;the expressions are never the same
(12) Which equation is an identity?
A. 11 - (2v + 3) = -2v - 8
B. 5w + 8 - w = 6w - 2 (w - 4) *****
C. 7m - 2 = 8m + 4 - m
D. 8y + 9 = 8y - 3
(13) Which equation has no solution?
A. 5w + 4 - w = 9w - 2 (w - 2)
B. 3x - 5 = 3x + 8 -x
C. 7z + 6 = -7z - 5 *****
D. 4y + 5 = 4y - 6
(14) Solve the following equation.
2 (h - 8) - h = h - 16
A. h = 8
B. h = -8 *****
C. infinitely many solutions
D. no solution
(19) Solve the following equation
-4y + 8 = 4 (2y - 2) - 2 (-16 + 8y)
A. y = -4
B. y = 4
C. y = -2
D. y = -6 *****
My answer is *****, and the ones i got wrong can you teach me how to solve them please. Thankyou
I disagree with #'s 13, 14, and 19
I agree with the others.
Here is a video, (not very exciting), that explains it
https://www.youtube.com/watch?v=9RtbpZBXs5I
katai. this whole answer thing is a 13 outta 19. so some of them arent correct in there somewhere.
(1) To determine if the equation 9p + 8 = 10p + 7 is true, false, or open, you need to solve for p. Start by simplifying both sides of the equation:
9p + 8 = 10p + 7
Subtract 9p from both sides:
8 = p + 7
Subtract 7 from both sides:
1 = p
Now that you have solved for p, you can see that the equation is not open since it has a specific solution, which is p = 1. Therefore, the correct answer is C. false; the expressions are never the same.
(12) The equation 5w + 8 - w = 6w - 2 (w - 4) is an identity if it holds true for all values of w. To determine if it is an identity, simplify both sides of the equation:
5w + 8 - w = 6w - 2w + 8
Combine like terms:
4w + 8 = 4w + 8
You can see that both sides of the equation are identical. Therefore, the equation is an identity. The correct answer is B. 5w + 8 - w = 6w - 2 (w - 4).
(13) An equation has no solution if the two sides of the equation cannot be made equal for any value of the variable. Let's check each option:
A. 5w + 4 - w = 9w - 2 (w - 2)
Simplifying:
4w + 4 = 9w - 2w + 4
Combining like terms:
4w + 4 = 7w + 4
The equation remains true for all values of w. It is not a no solution equation.
B. 3x - 5 = 3x + 8 - x
Simplifying:
3x - 5 = 3x + 8 - x
Combining like terms:
3x - 5 = 2x + 8
Subtracting 2x from both sides:
x - 5 = 8
Adding 5 to both sides:
x = 13
The equation has a specific solution, so it is not a no solution equation.
C. 7z + 6 = -7z - 5
Simplifying:
7z + 6 = -7z - 5
Adding 7z to both sides and subtracting 6 from both sides:
14z = -11
Dividing both sides by 14:
z = -11/14
The equation has a specific solution, so it is not a no solution equation.
D. 4y + 5 = 4y - 6
Simplifying:
4y + 5 = 4y - 6
Subtracting 4y from both sides:
5 = -6
This equation is not true for any value of y. Therefore, the correct answer is D. 4y + 5 = 4y - 6.
(14) To solve the equation 2 (h - 8) - h = h - 16, start by distributing the 2:
2h - 16 - h = h - 16
Combine like terms:
h - 16 = h - 16
The equation remains the same even after simplifying both sides. This means that any value of h will satisfy the equation. Therefore, there are infinitely many solutions. The correct answer is C. infinitely many solutions.
(19) To solve the equation -4y + 8 = 4 (2y - 2) - 2 (-16 + 8y), start by simplifying both sides:
-4y + 8 = 8y - 8 - 2(-16) + 2(8y)
Simplify further:
-4y + 8 = 8y - 8 + 32 + 16y
Combine like terms:
-4y + 8 = 24y + 24
Next, isolate the variable by moving all terms involving y to one side:
-4y - 24y = 8 - 24
Simplify:
-28y = -16
Divide both sides by -28:
y = (-16) / (-28)
Simplifying the fraction gives:
y = 2/7
Therefore, the correct answer is D. y = -6.
Hm...I see that We have an untrustworthy response, that leaves me to give you a proper answer.
1.A
2.A
3.A
4.B
5.A
6.D
7.C
8.C
9.B
10.D
11.C
12.B
13.A
14.C
15.D
16.D
17.D
18.A
19.B