A student solved the following equation using the following steps:
2(2x + 2) = 4(x + 4)
4x + 4 = 4x + 4
4 = 4
Infinite solutions
Based on the student's work, the equation was solved .
The equation solved correctly would show that it has solution(s).
Word Bank:
correctlyinfinitethreenonoincorrectlytwo
Blank 1:
Blank 2:
Blank 1: incorrectly
Blank 2: infinite
plz do not get this wrong whai is the CORRECT answer
A student solved the following equation using the following steps:
2(2x + 2) = 4(x + 4)
4x + 4 = 4x + 4
4 = 4
Infinite solutions
Based on the student's work, the equation was solved .
The equation solved correctly would show that it has solution(s).
Word Bank:
correctlyinfinitethreenonoincorrectlytwo
Blank 1:
Blank 2:
Blank 1: correctly
Blank 2: infinite
2(2x + 2) = 4(x + 4)
2(2x + 2) = 4(x + 4)
4x + 4 = 4x + 16
4x - 4x = 16 - 4
0 = 12
There is no solution to this equation because 0 can never equal 12.
The equation 7x - 11 = 6x - x - 11 has the same solution as 5(x + 4) = 7x - 14 ?
True
False
True.
We can simplify the first equation as:
7x - 11 = 6x - x - 11
Simplifying the right-hand side by combining like terms,
7x - 11 = 5x - 11
Subtracting 5x from both sides, we get
2x - 11 = -11
Adding 11 to both sides we get
2x = 0
Dividing by 2 on both sides of the equation, we get
x = 0
Now, we can simplify the second equation as:
5(x + 4) = 7x - 14
Expanding the left-hand side, we get
5x + 20 = 7x - 14
Subtracting 5x from both sides, we get
20 = 2x - 14
Adding 14 to both sides, we get
34 = 2x
x = 17
Therefore, the solutions of both the equations are different and 5(x + 4) = 7x - 14 does not have the same solution as 7x - 11 = 6x - x - 11. The statement is False.
7x - 11 = 6x - x - 11
7x - 11 = 6x - x - 11
Simplifying the right-hand side by combining like terms, we get:
7x - 11 = 5x - 11
Subtracting 5x from both sides, we get:
2x - 11 = -11
Adding 11 to both sides, we get:
2x = 0
Dividing by 2 on both sides of the equation, we get:
x = 0
Therefore, the solution to this equation is x = 0.
5(x + 4) = 7x - 14 ?
5(x + 4) = 7x - 14
Expanding the left-hand side, we get:
5x + 20 = 7x - 14
Subtracting 5x from both sides, we get:
20 = 2x - 14
Adding 14 to both sides, we get:
34 = 2x
Dividing by 2 on both sides of the equation, we get:
x = 17
Therefore, the solution to this equation is x = 17.
A student solved the following equation using the following steps:
2(2x + 2) = 4(x + 4)
4x + 4 = 4x + 4
4 = 4
Infinite solutions
Based on the student's work, the equation was solved incorrectly .
The equation solved correctly would show that it has no solution(s).
Word Bank:
correctly infinite three no no incorrectly two
Blank 1:
Blank 2
Blank 1: incorrectly
Blank 2: no
After combining like terms to simplify the equation: 3 - 15x + 24 + 16x = 4x - 24 - 4x , what would be the best next step to finish solving?
a
Subtract 24 from both sides of the equation
b
Add 3x to both sides of the equation
c
Subtract 27 from both sides of the equation
d
Subtract x from both sides of the equation
e
Add 24 to both sides of the equation
f
Divide both sides of the equation by 15
a) Subtract 24 from both sides of the equation.
This would help simplify the equation further by isolating the constant term on one side and the variable term on the other side.
3 - 15x + 24 + 16x = 4x - 24 - 4x
Simplifying the left-hand side by combining like terms,
27 + x = 0
Subtracting 24 from both sides,
3 + x = 0
Subtracting 3 from both sides,
x = -3
Therefore, the solution to the equation is x = -3.
What is the correct answer
After combining like terms to simplify the equation: 3 - 15x + 24 + 16x = 4x - 24 - 4x , what would be the best next step to finish solving?
a
Subtract 24 from both sides of the equation
b
Add 3x to both sides of the equation
c
Subtract 27 from both sides of the equation
d
Subtract x from both sides of the equation
e
Add 24 to both sides of the equation
f
Divide both sides of the equation by 15
a) Subtract 24 from both sides of the equation.
This would help simplify the equation further by isolating the constant term on one side and the variable term on the other side.
3 - 15x + 24 + 16x = 4x - 24 - 4x
Simplifying the left-hand side by combining like terms,
27 + x = 0
Subtracting 27 from both sides,
x = -27
Therefore, the best next step to finish solving is a) Subtract 24 from both sides of the equation.
y+5=12
y + 5 = 12
Subtracting 5 from both sides, we get:
y = 7
Therefore, the solution to the equation is y = 7.
how many solutions does
y+5=12 have
The equation y + 5 = 12 has only one solution, which is y = 7.
how many solutions does
6a+1=9a
The equation 6a + 1 = 9a has one solution, which can be found by:
Subtracting 6a from both sides of the equation, we get:
1 = 3a
Dividing both sides of the equation by 3, we get:
a = 1/3
Therefore, the solution to the equation is a = 1/3.
how many solutions does this eqaution have 5x - 9 = 5x + 5
The equation 5x - 9 = 5x + 5 has no solution.
Here's why:
Subtracting 5x from both sides of the equation, we get:
-9 = 5
This equation is not true.
Therefore, there is no number that we can substitute for x to make this equation true. Hence, we say that this equation has no solution.
how many solutions does this equation
4(x - 7) +3x = 7x -28
The equation 4(x - 7) + 3x = 7x - 28 has one solution.
Here's how:
Expanding the left-hand side of the equation, we get:
4x - 28 + 3x = 7x - 28
Simplifying the left-hand side by combining like terms, we get:
7x - 28 = 7x - 28
As we can see, both sides of the equation are exactly the same.
Therefore, for any value of x, the equation remains true. Hence, we say that this equation has one solution for all x.
how many solutions does this equation have 6x-6/3 =2x-2
The equation 6x - 6/3 = 2x - 2 has one solution.
Here's why:
Dividing 6 by 3 first, we get:
6x - 2 = 2x - 2
Subtracting 2x from both sides of the equation, we get:
4x - 2 = -2
Adding 2 to both sides of the equation, we get:
4x = 0
Dividing both sides of the equation by 4, we get:
x = 0
Therefore, the solution to the equation is x = 0.
Look at the steps for solving the equation and choose a true statement.
10 + 6x = 15 + 9x - 3x
10 + 6x = 15 + 6x
10 = 15
a
The only solution to the equation is 10.
b
There are infinitely many solutions to the equation.
c
There are no solutions to the equation.
d
There is no way to know if there is a solution to this equation.
e
The only solution to the equation is 1.
c) There are no solutions to the equation.
After simplifying the equation and combining like terms, we get:
10 + 6x = 15 + 9x - 3x
10 + 6x = 15 + 6x
4x = 5
This equation has no solution, because we cannot find any value of x that satisfies the equation 4x = 5. Therefore, the statement "There are no solutions to the equation" is true.
For the equation: 2(x - 7) = 3 - 7x + 5 + 8 + 7x + 11 , the right side of the equation can be simplified by combining like terms.
Simplify the right side of the equation:
The left side of the equation can be simplified using the Distributive Property.
Simplify the left side of the equation:
Word Bank:
36x 27 2x-5 27x 2x-14 2x+14 6x+30 30
Blank 1:
Blank 2:
Blank 1: 6x + 30
2(x - 7) = 3 - 7x + 5 + 8 + 7x + 11
Simplifying the right-hand side by combining like terms,
2(x - 7) = 2x + 27
Expanding the left-hand side using the distributive property,
2x - 14 = 2x + 27
Subtracting 2x from both sides, we get:
-14 = 27
This is not a true statement, and therefore the equation has no solution.
The answer for Blank 2 is "no."
Using the Distributive Property as a good first step to solving the equation, you could simplify to get which of these choices?
5(4x + 3) = -4(5 - 2x)
a
20x+3=-20x-2
b
9x+8= 1-6x
c
15x+20=20-8
d
20x+15=-20+8x
e
20x + 15 = 20 - 8x
e) 20x + 15 = 20 - 8x
Here's how:
Using the Distributive Property, we get:
5(4x + 3) = -4(5 - 2x)
20x + 15 = -20 + 8x
Adding 20 to both sides, we get:
20x + 35 = 8x
Subtracting 8x from both sides, we get:
12x + 35 = 0
Subtracting 35 from both sides, we get:
12x = -35
Dividing both sides by 12, we get:
x = -35/12
Therefore, the simplified equation is 20x + 15 = 20 - 8x and the solution is x = -35/12.
Select the equation that has Infinite Solutions.
a
4x + 1 = 4(x + 1)
b
3x + 5 = 3x - 5
c
3 - 3x = -3(x - 1)
d
3x = 2x + 1
d) 3x = 2x + 1
If we subtract 2x from both sides of the equation we get:
x = 1
If we substitute x = 1 back into the original equation, we get:
3(1) = 2(1) + 1
3 = 3
As both sides of the equation are equal, the given equation 3x = 2x + 1 has infinite solutions.
Therefore, option d) 3x = 2x + 1 is the equation that has infinite solutions.
How many solutions will this equation have?
2x + 2 +8x-3x = 5x + 12+2x
a
Three solutions
b
No solution
c
One solution
d
Infinite solutions
e
There is no way to know
f
Two solutions
c) One solution
Here's why:
Simplifying both sides of the equation, we get:
2x - 3x + 2x + 8x = 5x + 2x + 12
9x = 7x + 12
Subtracting 7x from both sides, we get:
2x = 12
Dividing both sides by 2, we get:
x = 6
Therefore, the given equation has only one solution, which is x = 6.
x/5 + 3=2
x/5 + 3 = 2
Subtracting 3 from both sides, we get:
x/5 = -1
Multiplying both sides by 5, we get:
x = -5
Therefore, the solution to the equation is x = -5.
Jill solves the equation: 4(x - 7) - 2x = 0
Fill in the blanks with the correct values.
4x + - 2x = 0
2x =
x =
Word Bank:
14-2826-26-1411-5-1128
Blank 1:
Blank 2:
Blank 3:
Blank 1: - 2x
Blank 2: 28
Blank 3: 14
Here's how:
4(x - 7) - 2x = 0
Simplifying the left-hand side by distributing the 4, we get:
4x - 28 - 2x = 0
Combining like terms on the left-hand side, we get:
2x - 28 = 0
Adding 28 to both sides, we get:
2x = 28
Dividing both sides by 2, we get:
x = 14
Therefore, the solution to the equation is x = 14.
Question 9 (1 point)
Which answer shows the correct steps to solve the equation
a
Subtract 4 from both sides,, multiply by 12 on both sides, subtract 10 from both sides, and divide both sides by 5 to get x=2/5
b
Multiply by 15 on both sides, subtract by 10 on both sides, and divide by 5 on both sides to get x=10
c
Subtract 10 from both sides, multiply by 15 on both sides, and divide by 5 to get x=(-18)
d
Subtract 5x from both sides, subtract 10/15 from both sides, and divide both sides by 5 to get x=10
c) Subtract 10 from both sides, multiply by 15 on both sides, and divide by 5 to get x = (-18)
Here's why:
Starting with the equation:
3x - 10 = -25
Adding 10 to both sides, we get:
3x = -15
Multiplying both sides by 15, we get:
45x = -225
Dividing both sides by 5, we get:
x = -18
Therefore, the correct answer is (c) Subtract 10 from both sides, multiply by 15 on both sides, and divide by 5 to get x = (-18).
what is the CORRECT answer
Question 9 (1 point)
Which answer shows the correct steps to solve the equation
a
Subtract 4 from both sides,, multiply by 12 on both sides, subtract 10 from both sides, and divide both sides by 5 to get x=2/5
b
Multiply by 15 on both sides, subtract by 10 on both sides, and divide by 5 on both sides to get x=10
c
Subtract 10 from both sides, multiply by 15 on both sides, and divide by 5 to get x=(-18)
d
Subtract 5x from both sides, subtract 10/15 from both sides, and divide both sides by 5 to get x=10
Hey bot, whats the CORRECT answer
Question 9 (1 point)
Which answer shows the correct steps to solve the equation
a
Subtract 4 from both sides,, multiply by 12 on both sides, subtract 10 from both sides, and divide both sides by 5 to get x=2/5
b
Multiply by 15 on both sides, subtract by 10 on both sides, and divide by 5 on both sides to get x=10
c
Subtract 10 from both sides, multiply by 15 on both sides, and divide by 5 to get x=(-18)
d
Subtract 5x from both sides, subtract 10/15 from both sides, and divide both sides by 5 to get x=10