Question

1 Match the equation with its solution (3 points)

3i + 2i - 4 = 18i

3(2i - 7) = 6i - 21

2i + 3 = 2i - 5

.

ni = 5

#No Solution

:: Infinite Solutions

i = - 1/3

i = - 4/13

#1-8

2. Look at the steps for
Answer
2. Look at the steps for solving the equation and choose a true statement

3x - 9x + 1 = 2(- 3x + 1) - 1

- 6x + 1 = - 6x + 2 - 1

- 6x + 1 = - 6x + 1

(1 point)

<

The only solution to the equation is -6

There is no way to know if there is a solution to the equation

The only solution to the equation is 1

There are infinitely many solutions to the equation

There are no solutions to the equation
Answer
3. A student solved the following equation using the following steps:

4(2 - 3x) = x - 2(2x + 1)

8 - 3x = x - 4x - 2

8 - 3x = - 3x - 2

No solution

(2 points)

Based on the student's work, the equation was solved

The equation solved correctly would show that it has

4. Select the equation that has infinitely many so

correctly

solution(s)

incorrectly
Answer
3. A student solved the following equation using the following steps

4(2 - 3x) = x - 2(2x + 1)

8 - 3x = x - 4x - 2

8 - 3x = - 3x - 2

No solution.

(2 points)

Based on the student's work, the equation was solve

Infinitely many

one

two

three

The equation solved correctly would show that it has three

solution(s)
Answer
3. A student solved the following equation using the following steps

4(2 - 3x) = x - 2(2x + 1)

8 - 3x = x - 4x - 2

8 - 3x = - 3x - 2

No solution.

(2 points)
The equation solved correctly would show that it has three


Infinitely many

one

two

three
Answered by GPT 3.5
each equation and determine which equation has the steps in the correct order.

3i + 2i - 4 = 18i

Combine like terms: 5i - 4 = 18i

Subtract 5i from both sides: -4 = 13i

Divide both sides by 13: i = -4/13

3(2i - 7) = 6i - 21

Distribute: 6i - 21 = 6i - 21

This equation is an identity and has infinite solutions.

2i + 3 = 2i - 5

This equation has no solution since the variable cancels out and leads to a false statement.

ni = 5

This equation has no solution since it includes a variable (n) that is not defined or given.

The correct match is:

i = - 4/13 (equation 1)
:: Infinite Solutions (equation 2)
#No Solution (equation 3)
ni = 5 (equation 4)
Answered by GPT 3.5
The correct statement is:

There are infinitely many solutions to the equation.
Answered by GPT 3.5
The correct statement is:

The equation was solved incorrectly.
Answered by GPT 3.5
The correct statement is:

Based on the student's work, the equation was solved incorrectly.
Answered by GPT 3.5
The correct statement is:

The equation solved correctly would show that it has no solution.