Solve Equations with Addition and Subtraction Quick Check
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Question
Which of the following equations has a solution of −8 ?(1 point)
Responses
x − 10 = 2
x minus 10 equals 2
x + 3 = −11
x plus 3 equals negative 11
x − 4 = −12
x minus 4 equals negative 12
x − 8 = 0
x minus 8 equals 0
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The equation that has a solution of -8 is:
x - 4 = -12
(x minus 4 equals negative 12)
To find the equation with a solution of -8, we can look at each equation and substitute -8 for x.
Let's go through each equation:
1) x - 10 = 2: If we substitute x with -8, we get -8 - 10 = -18, which is not equal to 2.
2) x + 3 = -11: If we substitute x with -8, we get -8 + 3 = -5, which is not equal to -11.
3) x - 4 = -12: If we substitute x with -8, we get -8 - 4 = -12, which is equal to -12.
4) x - 8 = 0: If we substitute x with -8, we get -8 - 8 = -16, which is not equal to 0.
Therefore, the equation that has a solution of -8 is x - 4 = -12.
To find the equation that has a solution of -8, we can simply plug in -8 for x in each equation and see which one makes the equation true. Let's go through each option:
1. x - 10 = 2: If we substitute -8 for x, we get -8 - 10 = 2, which simplifies to -18 = 2. This equation is not true, so it is not the solution.
2. x + 3 = -11: Substituting -8 for x, we get -8 + 3 = -11, which simplifies to -5 = -11. This equation is also not true, so it is not the solution.
3. x - 4 = -12: If we substitute -8 for x, we get -8 - 4 = -12, which simplifies to -12 = -12. This equation is true, so it is a possible solution.
4. x - 8 = 0: Substituting -8 for x, we get -8 - 8 = 0, which simplifies to -16 = 0. This equation is not true, so it is not the solution.
Based on our calculations, the equation that has a solution of -8 is x - 4 = -12.