Question

9) Drag and drop the correct steps to solve the equation for x. Make sure to put the steps in order. Not all steps listed will be used. 12−3x=8−4(2x−6)
options: 12-3x=8-8x+24, 12-3x=32-8x, 12+5x=32, 12-3x=8-8x-24, 5x=20, 12-5x=-16, 12-3x=-16-18x, x=28, x=4

Answer 1

10) Which equation has no solution? Select all that apply. (1 point) Responses 36−7y=−7(y−5)
8k+38=−3(−6−4k)
−4(x+3)=−12−4x
−2(w−2)=−3−2w

Answer 2

Is the equation true, false, or open? 7m+10=3m+26

Answer 3

Drag and drop the correct steps to solve the equation for x. Make sure to put the steps in order. Not all steps listed will be used.
2(x - 4) - 2x = 2x - 10

8 = 2x - 10
- 8 = 2x - 10
2 = 2x
2x + 8 - 2x = 2x - 10
2x - 8 - 2x = 2x - 10
18 = 2x
x = 9
x = 1

Answer 4

are you sure

Answer 5

1) Distribute the -4 to the terms inside the parentheses: 12 - 3x = 8 - 8x + 24
2) Combine like terms: 12 - 3x = 32 - 8x
3) Add 8x to both sides: 12 + 5x = 32
4) Subtract 12 from both sides: 5x = 20
5) Divide both sides by 5: x = 4

Answer 6

To determine which equation has no solution, we need to solve each equation and see if there is a value of the variable that satisfies the equation.

1) 36 - 7y = -7(y - 5)
Expanding the right side: 36 - 7y = -7y + 35
Combining like terms: 36 = 35
This equation does not hold true, so there is no solution.

2) 8k + 38 = -3(-6 - 4k)
Expanding the right side: 8k + 38 = 18 + 12k
Combining like terms: 8k + 38 = 12k + 18
Subtracting 12k from both sides: -4k + 38 = 18
Subtracting 38 from both sides: -4k = -20
Dividing by -4: k = 5
This equation has a solution (k = 5).

3) -4(x + 3) = -12 - 4x
Distributing: -4x - 12 = -12 - 4x
Combining like terms: -4x = -4x
This equation holds true for any value of x, so it has infinitely many solutions.

4) -2(w - 2) = -3 - 2w
Distributing: -2w + 4 = -3 - 2w
Combining like terms: -2w = -2w - 7
Subtracting -2w from both sides: 0 = -7
This equation does not hold true, so there is no solution.

Therefore, the equations that have no solution are:
1) 36 - 7y = -7(y - 5)
4) -2(w - 2) = -3 - 2w

Answer 7

To determine if the equation 7m + 10 = 3m + 26 is true, false, or open, we need to simplify it further and see if a solution can be found.

Combining like terms on both sides of the equation, we get:

7m + 10 = 3m + 26

Subtracting 3m from both sides:

4m + 10 = 26

Subtracting 10 from both sides:

4m = 16

Dividing both sides by 4:

m = 4

Since a solution (m = 4) has been found, the equation is true.

Answer 8

1) Distribute the 2 to the terms inside the parentheses: 2x - 8 - 2x = 2x - 10
2) Combine like terms: -8 = -10
3) No solution is found.
4) Combine like terms: 2x + 8 - 2x = 2x - 10
5) Combine like terms: -8 = -10
6) No solution is found.
7) Combine like terms: 18 = 2x
8) Divide both sides by 2: x = 9
9) Combine like terms: 2 = 2x
10) Divide both sides by 2: x = 1

The correct steps in order are:
1) Distribute the 2 to the terms inside the parentheses: 2x - 8 - 2x = 2x - 10
4) Combine like terms: 2x + 8 - 2x = 2x - 10
8) Divide both sides by 2: x = 9
9) Combine like terms: 2 = 2x
10) Divide both sides by 2: x = 1

Answer 9

Apologies for the confusion earlier. Let's go through the steps again for solving the equation 2(x - 4) - 2x = 2x - 10:

1) Distribute the 2 to the terms inside the parentheses: 2x - 8 - 2x = 2x - 10
2) Combine like terms: -8 = -10

The equation -8 = -10 is not true. Therefore, there is no solution to the equation.