What number should be added to both sides of the equation x − 7/8 = −5 to find the value of x ?
To isolate the variable x, we need to cancel out the -7/8 on the left side by adding its opposite value, which is +7/8, to both sides of the equation.
Therefore, the number that should be added to both sides of the equation x − 7/8 = −5 is +7/8.
What is the value of x in the equation x + 0.97 = −2 ?
To isolate the variable x, we need to cancel out the +0.97 on the left side by subtracting its value from both sides of the equation.
x + 0.97 - 0.97 = -2 - 0.97
This simplifies to:
x = -2 - 0.97
x = -2.97
Therefore, the value of x in the equation x + 0.97 = -2 is -2.97.
What is the solution of the equation x − 94 = −38
To solve for x in the equation x - 94 = -38, you need to isolate the variable x by adding 94 to both sides of the equation:
x - 94 + 94 = -38 + 94
This simplifies to:
x = 56
Therefore, the solution to the equation x - 94 = -38 is x = 56.
What is the solution of the equation x − 9/4 = −3/8
To solve for x in the equation x - 9/4 = -3/8, you need to isolate the variable x by adding 9/4 to both sides of the equation:
x - 9/4 + 9/4 = -3/8 + 9/4
This simplifies to:
x = -3/8 + 9/4
To add the fractions, you need a common denominator, which is 8:
x = -3/8 + 9/4
= -3/8 + 18/8
= 15/8
Therefore, the solution to the equation x - 9/4 = -3/8 is x = 15/8.
Which of the following should be done to both sides of the equation x + 11 = −17 to solve the value of x? (1 point)
Responses
subtract 11
subtract 11
add 17
add 17
subtract 17
subtract 17
add 11
To solve for x in the equation x + 11 = -17, you need to isolate the variable x. To do this, you should subtract 11 from both sides of the equation.
Therefore, the correct response is: "subtract 11".
What is the solution of the equation x + 23 = 9?(1 point)
Responses
32
32
−14
negative 14
−32
negative 32
14
To solve for x in the equation x + 23 = 9, you need to isolate the variable x by subtracting 23 from both sides of the equation:
x + 23 - 23 = 9 - 23
This simplifies to:
x = -14
Therefore, the solution to the equation x + 23 = 9 is x = -14.
Which of the following equations has a solution of −8?(1 point)
Responses
x − 8 = 0
x minus 8 equals 0
x − 4 = −12
x minus 4 equals negative 12
x + 3 = −11
x plus 3 equals negative 11
x − 10 = 2
To find the equation that has a solution of -8, we need to substitute -8 for x one by one in each of the equations given and see which one satisfies the equation.
a) x - 8 = 0
Substituting x = -8, we get: -8 - 8 = -16, which is not equal to 0.
b) x - 4 = -12
Substituting x = -8, we get: -8 - 4 = -12, which is not equal to -12.
c) x + 3 = -11
Substituting x = -8, we get: -8 + 3 = -5, which is not equal to -11.
d) x - 10 = 2
Substituting x = -8, we get: -8 - 10 = -18, which is not equal to 2.
None of the equations have a solution of -8.
Therefore, none of the given equations have a solution of -8.
Which of the following should be done to both sides of the equation x − 3.41 = −19 to solve the value of x?(1 point)
Responses
add 19
add 19
add 3.41
add 3.41
subtract 3.41
subtract 3.41
subtract 19
To solve the equation x - 3.41 = -19, you need to isolate the variable x. To do this, you should add 3.41 to both sides of the equation.
Therefore, the correct response is: "add 3.41".
Which of the following equations has a solution of −12?(1 point)
Responses
x + 12 = −1
x plus Start Fraction 1 over 2 End Fraction equals negative 1
x − 12 = 1
x minus Start Fraction 1 over 2 End Fraction equals 1
x − 1 = −12
x minus 1 equals negative Start Fraction 1 over 2 End Fraction
x + 1 = 12
To find the equation that has a solution of -12, we need to substitute -12 for x one by one in each of the equations given and see which one satisfies the equation.
a) x + 12 = -1
Substituting x = -12, we get: -12 + 12 = 0, which is not equal to -1.
b) x - 12 = 1
Substituting x = -12, we get: -12 - 12 = -24, which is not equal to 1.
c) x - 1 = -12
Substituting x = -12, we get: -12 - 1 = -13, which is not equal to -12.
d) x + 1 = 12
Substituting x = -12, we get: -12 + 1 = -11, which is not equal to 12.
None of the equations have a solution of -12.
Therefore, none of the given equations have a solution of -12.