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)
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
9 answers
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
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
The correct statement is:
There are infinitely many solutions to the equation.
There are infinitely many solutions to the equation.
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
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
The correct statement is:
The equation was solved incorrectly.
The equation was solved incorrectly.
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)
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)
The correct statement is:
Based on the student's work, the equation was solved incorrectly.
Based on the student's work, the equation was solved incorrectly.
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
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
The correct statement is:
The equation solved correctly would show that it has no solution.
The equation solved correctly would show that it has no solution.
11 answers